| 88 |
|
uri = {<Go to ISI>://000232532000064}, |
| 89 |
|
} |
| 90 |
|
|
| 91 |
– |
@BOOK{Allen1987, |
| 92 |
– |
title = {Computer Simulations of Liquids}, |
| 93 |
– |
publisher = {Oxford University Press}, |
| 94 |
– |
year = {1987}, |
| 95 |
– |
author = {M.~P. Allen and D.~J. Tildesley}, |
| 96 |
– |
address = {New York}, |
| 97 |
– |
} |
| 98 |
– |
|
| 91 |
|
@ARTICLE{Allison1991, |
| 92 |
|
author = {S. A. Allison}, |
| 93 |
|
title = {A Brownian Dynamics Algorithm for Arbitrary Rigid Bodies - Application |
| 117 |
|
uri = {<Go to ISI>://A1991EU81400029}, |
| 118 |
|
} |
| 119 |
|
|
| 120 |
+ |
@ARTICLE{Andersen1983, |
| 121 |
+ |
author = {H. C. Andersen}, |
| 122 |
+ |
title = {Rattle - a Velocity Version of the Shake Algorithm for Molecular-Dynamics |
| 123 |
+ |
Calculations}, |
| 124 |
+ |
journal = {Journal of Computational Physics}, |
| 125 |
+ |
year = {1983}, |
| 126 |
+ |
volume = {52}, |
| 127 |
+ |
pages = {24-34}, |
| 128 |
+ |
number = {1}, |
| 129 |
+ |
annote = {Rq238 Times Cited:559 Cited References Count:14}, |
| 130 |
+ |
issn = {0021-9991}, |
| 131 |
+ |
uri = {<Go to ISI>://A1983RQ23800002}, |
| 132 |
+ |
} |
| 133 |
+ |
|
| 134 |
|
@ARTICLE{Auerbach2005, |
| 135 |
|
author = {A. Auerbach}, |
| 136 |
|
title = {Gating of acetylcholine receptor channels: Brownian motion across |
| 515 |
|
annote = {Sm173 Times Cited:143 Cited References Count:22}, |
| 516 |
|
issn = {0009-2614}, |
| 517 |
|
uri = {<Go to ISI>://A1984SM17300007}, |
| 518 |
+ |
} |
| 519 |
+ |
|
| 520 |
+ |
@ARTICLE{Budd1999, |
| 521 |
+ |
author = {C. J. Budd and G. J. Collins and W. Z. Huang and R. D. Russell}, |
| 522 |
+ |
title = {Self-similar numerical solutions of the porous-medium equation using |
| 523 |
+ |
moving mesh methods}, |
| 524 |
+ |
journal = {Philosophical Transactions of the Royal Society of London Series |
| 525 |
+ |
a-Mathematical Physical and Engineering Sciences}, |
| 526 |
+ |
year = {1999}, |
| 527 |
+ |
volume = {357}, |
| 528 |
+ |
pages = {1047-1077}, |
| 529 |
+ |
number = {1754}, |
| 530 |
+ |
month = {Apr 15}, |
| 531 |
+ |
abstract = {This paper examines a synthesis of adaptive mesh methods with the |
| 532 |
+ |
use of symmetry to study a partial differential equation. In particular, |
| 533 |
+ |
it considers methods which admit discrete self-similar solutions, |
| 534 |
+ |
examining the convergence of these to the true self-similar solution |
| 535 |
+ |
as well as their stability. Special attention is given to the nonlinear |
| 536 |
+ |
diffusion equation describing flow in a porous medium.}, |
| 537 |
+ |
annote = {199EE Times Cited:4 Cited References Count:14}, |
| 538 |
+ |
issn = {1364-503X}, |
| 539 |
+ |
uri = {<Go to ISI>://000080466800005}, |
| 540 |
|
} |
| 541 |
|
|
| 542 |
|
@ARTICLE{Camp1999, |
| 670 |
|
uri = {<Go to ISI>://000081711200038}, |
| 671 |
|
} |
| 672 |
|
|
| 673 |
+ |
@ARTICLE{Channell1990, |
| 674 |
+ |
author = {P. J. Channell and C. Scovel}, |
| 675 |
+ |
title = {Symplectic Integration of Hamiltonian-Systems}, |
| 676 |
+ |
journal = {Nonlinearity}, |
| 677 |
+ |
year = {1990}, |
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+ |
volume = {3}, |
| 679 |
+ |
pages = {231-259}, |
| 680 |
+ |
number = {2}, |
| 681 |
+ |
month = {may}, |
| 682 |
+ |
annote = {Dk631 Times Cited:152 Cited References Count:34}, |
| 683 |
+ |
issn = {0951-7715}, |
| 684 |
+ |
uri = {<Go to ISI>://A1990DK63100001}, |
| 685 |
+ |
} |
| 686 |
+ |
|
| 687 |
+ |
@ARTICLE{Chen2003, |
| 688 |
+ |
author = {B. Chen and F. Solis}, |
| 689 |
+ |
title = {Explicit mixed finite order Runge-Kutta methods}, |
| 690 |
+ |
journal = {Applied Numerical Mathematics}, |
| 691 |
+ |
year = {2003}, |
| 692 |
+ |
volume = {44}, |
| 693 |
+ |
pages = {21-30}, |
| 694 |
+ |
number = {1-2}, |
| 695 |
+ |
month = {Jan}, |
| 696 |
+ |
abstract = {We investigate the asymptotic behavior of systems of nonlinear differential |
| 697 |
+ |
equations and introduce a family of mixed methods from combinations |
| 698 |
+ |
of explicit Runge-Kutta methods. These methods have better stability |
| 699 |
+ |
behavior than traditional Runge-Kutta methods and generally extend |
| 700 |
+ |
the range of validity of the calculated solutions. These methods |
| 701 |
+ |
also give a way of determining if the numerical solutions are real |
| 702 |
+ |
or spurious. Emphasis is put on examples coming from mathematical |
| 703 |
+ |
models in ecology. (C) 2002 IMACS. Published by Elsevier Science |
| 704 |
+ |
B.V. All rights reserved.}, |
| 705 |
+ |
annote = {633ZD Times Cited:0 Cited References Count:9}, |
| 706 |
+ |
issn = {0168-9274}, |
| 707 |
+ |
uri = {<Go to ISI>://000180314200002}, |
| 708 |
+ |
} |
| 709 |
+ |
|
| 710 |
|
@ARTICLE{Cheung2004, |
| 711 |
|
author = {D. L. Cheung and S. J. Clark and M. R. Wilson}, |
| 712 |
|
title = {Calculation of flexoelectric coefficients for a nematic liquid crystal |
| 998 |
|
annote = {Fp216 Times Cited:785 Cited References Count:42}, |
| 999 |
|
issn = {0021-9606}, |
| 1000 |
|
uri = {<Go to ISI>://A1978FP21600004}, |
| 1001 |
+ |
} |
| 1002 |
+ |
|
| 1003 |
+ |
@ARTICLE{Evans1977, |
| 1004 |
+ |
author = {D. J. Evans}, |
| 1005 |
+ |
title = {Representation of Orientation Space}, |
| 1006 |
+ |
journal = {Molecular Physics}, |
| 1007 |
+ |
year = {1977}, |
| 1008 |
+ |
volume = {34}, |
| 1009 |
+ |
pages = {317-325}, |
| 1010 |
+ |
number = {2}, |
| 1011 |
+ |
annote = {Ds757 Times Cited:271 Cited References Count:18}, |
| 1012 |
+ |
issn = {0026-8976}, |
| 1013 |
+ |
uri = {<Go to ISI>://A1977DS75700002}, |
| 1014 |
|
} |
| 1015 |
|
|
| 1016 |
|
@ARTICLE{Fennell2004, |
| 1123 |
|
uri = {<Go to ISI>://000083785700002}, |
| 1124 |
|
} |
| 1125 |
|
|
| 1048 |
– |
@BOOK{Goldstein2001, |
| 1049 |
– |
title = {Classical Mechanics}, |
| 1050 |
– |
publisher = {Addison Wesley}, |
| 1051 |
– |
year = {2001}, |
| 1052 |
– |
author = {H. Goldstein and C. Poole and J. Safko}, |
| 1053 |
– |
address = {San Francisco}, |
| 1054 |
– |
edition = {3rd}, |
| 1055 |
– |
} |
| 1056 |
– |
|
| 1126 |
|
@ARTICLE{Gray2003, |
| 1127 |
|
author = {J. J. Gray and S. Moughon and C. Wang and O. Schueler-Furman and |
| 1128 |
|
B. Kuhlman and C. A. Rohl and D. Baker}, |
| 1163 |
|
uri = {<Go to ISI>://000184351300022}, |
| 1164 |
|
} |
| 1165 |
|
|
| 1166 |
+ |
@ARTICLE{Greengard1994, |
| 1167 |
+ |
author = {L. Greengard}, |
| 1168 |
+ |
title = {Fast Algorithms for Classical Physics}, |
| 1169 |
+ |
journal = {Science}, |
| 1170 |
+ |
year = {1994}, |
| 1171 |
+ |
volume = {265}, |
| 1172 |
+ |
pages = {909-914}, |
| 1173 |
+ |
number = {5174}, |
| 1174 |
+ |
month = {Aug 12}, |
| 1175 |
+ |
abstract = {Some of the recently developed fast summation methods that have arisen |
| 1176 |
+ |
in scientific computing are described. These methods require an |
| 1177 |
+ |
amount of work proportional to N or N log N to evaluate all pairwise |
| 1178 |
+ |
interactions in an ensemble of N particles. Traditional methods, |
| 1179 |
+ |
by contrast, require an amount of work proportional to N-2. AS a |
| 1180 |
+ |
result, large-scale simulations can be carried out using only modest |
| 1181 |
+ |
computer resources. In combination with supercomputers, it is possible |
| 1182 |
+ |
to address questions that were previously out of reach. Problems |
| 1183 |
+ |
from diffusion, gravitation, and wave propagation are considered.}, |
| 1184 |
+ |
annote = {Pb499 Times Cited:99 Cited References Count:44}, |
| 1185 |
+ |
issn = {0036-8075}, |
| 1186 |
+ |
uri = {<Go to ISI>://A1994PB49900031}, |
| 1187 |
+ |
} |
| 1188 |
+ |
|
| 1189 |
+ |
@ARTICLE{Greengard1987, |
| 1190 |
+ |
author = {L. Greengard and V. Rokhlin}, |
| 1191 |
+ |
title = {A Fast Algorithm for Particle Simulations}, |
| 1192 |
+ |
journal = {Journal of Computational Physics}, |
| 1193 |
+ |
year = {1987}, |
| 1194 |
+ |
volume = {73}, |
| 1195 |
+ |
pages = {325-348}, |
| 1196 |
+ |
number = {2}, |
| 1197 |
+ |
month = {Dec}, |
| 1198 |
+ |
annote = {L0498 Times Cited:899 Cited References Count:7}, |
| 1199 |
+ |
issn = {0021-9991}, |
| 1200 |
+ |
uri = {<Go to ISI>://A1987L049800006}, |
| 1201 |
+ |
} |
| 1202 |
+ |
|
| 1203 |
+ |
@ARTICLE{Hairer1997, |
| 1204 |
+ |
author = {E. Hairer and C. Lubich}, |
| 1205 |
+ |
title = {The life-span of backward error analysis for numerical integrators}, |
| 1206 |
+ |
journal = {Numerische Mathematik}, |
| 1207 |
+ |
year = {1997}, |
| 1208 |
+ |
volume = {76}, |
| 1209 |
+ |
pages = {441-462}, |
| 1210 |
+ |
number = {4}, |
| 1211 |
+ |
month = {Jun}, |
| 1212 |
+ |
abstract = {Backward error analysis is a useful tool for the study of numerical |
| 1213 |
+ |
approximations to ordinary differential equations. The numerical |
| 1214 |
+ |
solution is formally interpreted as the exact solution of a perturbed |
| 1215 |
+ |
differential equation, given as a formal and usually divergent series |
| 1216 |
+ |
in powers of the step size. For a rigorous analysis, this series |
| 1217 |
+ |
has to be truncated. In this article we study the influence of this |
| 1218 |
+ |
truncation to the difference between the numerical solution and |
| 1219 |
+ |
the exact solution of the perturbed differential equation. Results |
| 1220 |
+ |
on the long-time behaviour of numerical solutions are obtained in |
| 1221 |
+ |
this way. We present applications to the numerical phase portrait |
| 1222 |
+ |
near hyperbolic equilibrium points, to asymptotically stable periodic |
| 1223 |
+ |
orbits and Hopf bifurcation, and to energy conservation and approximation |
| 1224 |
+ |
of invariant tori in Hamiltonian systems.}, |
| 1225 |
+ |
annote = {Xj488 Times Cited:50 Cited References Count:19}, |
| 1226 |
+ |
issn = {0029-599X}, |
| 1227 |
+ |
uri = {<Go to ISI>://A1997XJ48800002}, |
| 1228 |
+ |
} |
| 1229 |
+ |
|
| 1230 |
|
@ARTICLE{Hao1993, |
| 1231 |
|
author = {M. H. Hao and M. R. Pincus and S. Rackovsky and H. A. Scheraga}, |
| 1232 |
|
title = {Unfolding and Refolding of the Native Structure of Bovine Pancreatic |
| 1359 |
|
uri = {<Go to ISI>://A1992JU25100002}, |
| 1360 |
|
} |
| 1361 |
|
|
| 1362 |
+ |
@ARTICLE{Hoover1985, |
| 1363 |
+ |
author = {W. G. Hoover}, |
| 1364 |
+ |
title = {Canonical Dynamics - Equilibrium Phase-Space Distributions}, |
| 1365 |
+ |
journal = {Physical Review A}, |
| 1366 |
+ |
year = {1985}, |
| 1367 |
+ |
volume = {31}, |
| 1368 |
+ |
pages = {1695-1697}, |
| 1369 |
+ |
number = {3}, |
| 1370 |
+ |
annote = {Acr30 Times Cited:1809 Cited References Count:11}, |
| 1371 |
+ |
issn = {1050-2947}, |
| 1372 |
+ |
uri = {<Go to ISI>://A1985ACR3000056}, |
| 1373 |
+ |
} |
| 1374 |
+ |
|
| 1375 |
|
@ARTICLE{Huh2004, |
| 1376 |
|
author = {Y. Huh and N. M. Cann}, |
| 1377 |
|
title = {Discrimination in isotropic, nematic, and smectic phases of chiral |
| 1397 |
|
uri = {<Go to ISI>://000225042700059}, |
| 1398 |
|
} |
| 1399 |
|
|
| 1400 |
+ |
@ARTICLE{Humphrey1996, |
| 1401 |
+ |
author = {W. Humphrey and A. Dalke and K. Schulten}, |
| 1402 |
+ |
title = {VMD: Visual molecular dynamics}, |
| 1403 |
+ |
journal = {Journal of Molecular Graphics}, |
| 1404 |
+ |
year = {1996}, |
| 1405 |
+ |
volume = {14}, |
| 1406 |
+ |
pages = {33-\&}, |
| 1407 |
+ |
number = {1}, |
| 1408 |
+ |
month = {Feb}, |
| 1409 |
+ |
abstract = {VMD is a molecular graphics program designed for the display and analysis |
| 1410 |
+ |
of molecular assemblies, in particular biopolymers such as proteins |
| 1411 |
+ |
and nucleic acids. VMD can simultaneously display any number of |
| 1412 |
+ |
structures using a wide variety of rendering styles and coloring |
| 1413 |
+ |
methods. Molecules are displayed as one or more ''representations,'' |
| 1414 |
+ |
in which each representation embodies a particular rendering method |
| 1415 |
+ |
and coloring scheme for a selected subset of atoms. The atoms displayed |
| 1416 |
+ |
in each representation are chosen using an extensive atom selection |
| 1417 |
+ |
syntax, which includes Boolean operators and regular expressions. |
| 1418 |
+ |
VMD provides a complete graphical user interface for program control, |
| 1419 |
+ |
as well as a text interface using the Tcl embeddable parser to allow |
| 1420 |
+ |
for complex scripts with variable substitution, control loops, and |
| 1421 |
+ |
function calls. Full session logging is supported, which produces |
| 1422 |
+ |
a VMD command script for later playback. High-resolution raster |
| 1423 |
+ |
images of displayed molecules may be produced by generating input |
| 1424 |
+ |
scripts for use by a number of photorealistic image-rendering applications. |
| 1425 |
+ |
VMD has also been expressly designed with the ability to animate |
| 1426 |
+ |
molecular dynamics (MD) simulation trajectories, imported either |
| 1427 |
+ |
from files or from a direct connection to a running MD simulation. |
| 1428 |
+ |
VMD is the visualization component of MDScope, a set of tools for |
| 1429 |
+ |
interactive problem solving in structural biology, which also includes |
| 1430 |
+ |
the parallel MD program NAMD, and the MDCOMM software used to connect |
| 1431 |
+ |
the visualization and simulation programs. VMD is written in C++, |
| 1432 |
+ |
using an object-oriented design; the program, including source code |
| 1433 |
+ |
and extensive documentation, is freely available via anonymous ftp |
| 1434 |
+ |
and through the World Wide Web.}, |
| 1435 |
+ |
annote = {Uh515 Times Cited:1418 Cited References Count:19}, |
| 1436 |
+ |
issn = {0263-7855}, |
| 1437 |
+ |
uri = {<Go to ISI>://A1996UH51500005}, |
| 1438 |
+ |
} |
| 1439 |
+ |
|
| 1440 |
|
@ARTICLE{Izaguirre2001, |
| 1441 |
|
author = {J. A. Izaguirre and D. P. Catarello and J. M. Wozniak and R. D. Skeel}, |
| 1442 |
|
title = {Langevin stabilization of molecular dynamics}, |
| 1478 |
|
uri = {<Go to ISI>://000166676100020}, |
| 1479 |
|
} |
| 1480 |
|
|
| 1481 |
< |
@ARTICLE{Gray2003, |
| 1482 |
< |
author = {J.~J Gray,S. Moughon, C. Wang }, |
| 1483 |
< |
title = {Protein-protein docking with simultaneous optimization of rigid-body |
| 1484 |
< |
displacement and side-chain conformations}, |
| 1485 |
< |
journal = {jmb}, |
| 1486 |
< |
year = {2003}, |
| 1487 |
< |
volume = {331}, |
| 1488 |
< |
pages = {281-299}, |
| 1481 |
> |
@ARTICLE{Kane2000, |
| 1482 |
> |
author = {C. Kane and J. E. Marsden and M. Ortiz and M. West}, |
| 1483 |
> |
title = {Variational integrators and the Newmark algorithm for conservative |
| 1484 |
> |
and dissipative mechanical systems}, |
| 1485 |
> |
journal = {International Journal for Numerical Methods in Engineering}, |
| 1486 |
> |
year = {2000}, |
| 1487 |
> |
volume = {49}, |
| 1488 |
> |
pages = {1295-1325}, |
| 1489 |
> |
number = {10}, |
| 1490 |
> |
month = {Dec 10}, |
| 1491 |
> |
abstract = {The purpose of this work is twofold. First, we demonstrate analytically |
| 1492 |
> |
that the classical Newmark family as well as related integration |
| 1493 |
> |
algorithms are variational in the sense of the Veselov formulation |
| 1494 |
> |
of discrete mechanics. Such variational algorithms are well known |
| 1495 |
> |
to be symplectic and momentum preserving and to often have excellent |
| 1496 |
> |
global energy behaviour. This analytical result is verified through |
| 1497 |
> |
numerical examples and is believed to be one of the primary reasons |
| 1498 |
> |
that this class of algorithms performs so well. Second, we develop |
| 1499 |
> |
algorithms for mechanical systems with forcing, and in particular, |
| 1500 |
> |
for dissipative systems. In this case, we develop integrators that |
| 1501 |
> |
are based on a discretization of the Lagrange d'Alembert principle |
| 1502 |
> |
as well as on a variational formulation of dissipation. It is demonstrated |
| 1503 |
> |
that these types of structured integrators have good numerical behaviour |
| 1504 |
> |
in terms of obtaining the correct amounts by which the energy changes |
| 1505 |
> |
over the integration run. Copyright (C) 2000 John Wiley & Sons, |
| 1506 |
> |
Ltd.}, |
| 1507 |
> |
annote = {373CJ Times Cited:30 Cited References Count:41}, |
| 1508 |
> |
issn = {0029-5981}, |
| 1509 |
> |
uri = {<Go to ISI>://000165270600004}, |
| 1510 |
|
} |
| 1511 |
|
|
| 1512 |
|
@ARTICLE{Klimov1997, |
| 1534 |
|
uri = {<Go to ISI>://A1997XK29300035}, |
| 1535 |
|
} |
| 1536 |
|
|
| 1537 |
+ |
@ARTICLE{Kol1997, |
| 1538 |
+ |
author = {A. Kol and B. B. Laird and B. J. Leimkuhler}, |
| 1539 |
+ |
title = {A symplectic method for rigid-body molecular simulation}, |
| 1540 |
+ |
journal = {Journal of Chemical Physics}, |
| 1541 |
+ |
year = {1997}, |
| 1542 |
+ |
volume = {107}, |
| 1543 |
+ |
pages = {2580-2588}, |
| 1544 |
+ |
number = {7}, |
| 1545 |
+ |
month = {Aug 15}, |
| 1546 |
+ |
abstract = {Rigid-body molecular dynamics simulations typically are performed |
| 1547 |
+ |
in a quaternion representation. The nonseparable form of the Hamiltonian |
| 1548 |
+ |
in quaternions prevents the use of a standard leapfrog (Verlet) |
| 1549 |
+ |
integrator, so nonsymplectic Runge-Kutta, multistep, or extrapolation |
| 1550 |
+ |
methods are generally used, This is unfortunate since symplectic |
| 1551 |
+ |
methods like Verlet exhibit superior energy conservation in long-time |
| 1552 |
+ |
integrations. In this article, we describe an alternative method, |
| 1553 |
+ |
which we call RSHAKE (for rotation-SHAKE), in which the entire rotation |
| 1554 |
+ |
matrix is evolved (using the scheme of McLachlan and Scovel [J. |
| 1555 |
+ |
Nonlin. Sci, 16 233 (1995)]) in tandem with the particle positions. |
| 1556 |
+ |
We employ a fast approximate Newton solver to preserve the orthogonality |
| 1557 |
+ |
of the rotation matrix. We test our method on a system of soft-sphere |
| 1558 |
+ |
dipoles and compare with quaternion evolution using a 4th-order |
| 1559 |
+ |
predictor-corrector integrator, Although the short-time error of |
| 1560 |
+ |
the quaternion algorithm is smaller for fixed time step than that |
| 1561 |
+ |
for RSHAKE, the quaternion scheme exhibits an energy drift which |
| 1562 |
+ |
is not observed in simulations with RSHAKE, hence a fixed energy |
| 1563 |
+ |
tolerance can be achieved by using a larger time step, The superiority |
| 1564 |
+ |
of RSHAKE increases with system size. (C) 1997 American Institute |
| 1565 |
+ |
of Physics.}, |
| 1566 |
+ |
annote = {Xq332 Times Cited:11 Cited References Count:18}, |
| 1567 |
+ |
issn = {0021-9606}, |
| 1568 |
+ |
uri = {<Go to ISI>://A1997XQ33200046}, |
| 1569 |
+ |
} |
| 1570 |
+ |
|
| 1571 |
|
@ARTICLE{Lansac2001, |
| 1572 |
|
author = {Y. Lansac and M. A. Glaser and N. A. Clark}, |
| 1573 |
|
title = {Microscopic structure and dynamics of a partial bilayer smectic liquid |
| 1633 |
|
uri = {<Go to ISI>://000181017300042}, |
| 1634 |
|
} |
| 1635 |
|
|
| 1636 |
< |
@BOOK{Leach2001, |
| 1637 |
< |
title = {Molecular Modeling: Principles and Applications}, |
| 1638 |
< |
publisher = {Pearson Educated Limited}, |
| 1639 |
< |
year = {2001}, |
| 1640 |
< |
author = {A. Leach}, |
| 1641 |
< |
address = {Harlow, England}, |
| 1642 |
< |
edition = {2nd}, |
| 1636 |
> |
@ARTICLE{Leimkuhler1999, |
| 1637 |
> |
author = {B. Leimkuhler}, |
| 1638 |
> |
title = {Reversible adaptive regularization: perturbed Kepler motion and classical |
| 1639 |
> |
atomic trajectories}, |
| 1640 |
> |
journal = {Philosophical Transactions of the Royal Society of London Series |
| 1641 |
> |
a-Mathematical Physical and Engineering Sciences}, |
| 1642 |
> |
year = {1999}, |
| 1643 |
> |
volume = {357}, |
| 1644 |
> |
pages = {1101-1133}, |
| 1645 |
> |
number = {1754}, |
| 1646 |
> |
month = {Apr 15}, |
| 1647 |
> |
abstract = {Reversible and adaptive integration methods based on Kustaanheimo-Stiefel |
| 1648 |
> |
regularization and modified Sundman transformations are applied |
| 1649 |
> |
to simulate general perturbed Kepler motion and to compute classical |
| 1650 |
> |
trajectories of atomic systems (e.g. Rydberg atoms). The new family |
| 1651 |
> |
of reversible adaptive regularization methods also conserves angular |
| 1652 |
> |
momentum and exhibits superior energy conservation and numerical |
| 1653 |
> |
stability in long-time integrations. The schemes are appropriate |
| 1654 |
> |
for scattering, for astronomical calculations of escape time and |
| 1655 |
> |
long-term stability, and for classical and semiclassical studies |
| 1656 |
> |
of atomic dynamics. The components of an algorithm for trajectory |
| 1657 |
> |
calculations are described. Numerical experiments illustrate the |
| 1658 |
> |
effectiveness of the reversible approach.}, |
| 1659 |
> |
annote = {199EE Times Cited:11 Cited References Count:48}, |
| 1660 |
> |
issn = {1364-503X}, |
| 1661 |
> |
uri = {<Go to ISI>://000080466800007}, |
| 1662 |
|
} |
| 1663 |
|
|
| 1404 |
– |
@BOOK{Leimkuhler2004, |
| 1405 |
– |
title = {Simulating Hamiltonian Dynamics}, |
| 1406 |
– |
publisher = {Cambridge University Press}, |
| 1407 |
– |
year = {2004}, |
| 1408 |
– |
author = {B. Leimkuhler and S. Reich}, |
| 1409 |
– |
address = {Cambridge}, |
| 1410 |
– |
} |
| 1411 |
– |
|
| 1664 |
|
@ARTICLE{Levelut1981, |
| 1665 |
|
author = {A. M. Levelut and R. J. Tarento and F. Hardouin and M. F. Achard |
| 1666 |
|
and G. Sigaud}, |
| 1729 |
|
uri = {<Go to ISI>://000234826102043}, |
| 1730 |
|
} |
| 1731 |
|
|
| 1732 |
< |
@BOOK{Marion1990, |
| 1733 |
< |
title = {Classical Dynamics of Particles and Systems}, |
| 1734 |
< |
publisher = {Academic Press}, |
| 1735 |
< |
year = {1990}, |
| 1736 |
< |
author = {J.~B. Marion}, |
| 1737 |
< |
address = {New York}, |
| 1738 |
< |
edition = {2rd}, |
| 1732 |
> |
@ARTICLE{Luty1994, |
| 1733 |
> |
author = {B. A. Luty and M. E. Davis and I. G. Tironi and W. F. Vangunsteren}, |
| 1734 |
> |
title = {A Comparison of Particle-Particle, Particle-Mesh and Ewald Methods |
| 1735 |
> |
for Calculating Electrostatic Interactions in Periodic Molecular-Systems}, |
| 1736 |
> |
journal = {Molecular Simulation}, |
| 1737 |
> |
year = {1994}, |
| 1738 |
> |
volume = {14}, |
| 1739 |
> |
pages = {11-20}, |
| 1740 |
> |
number = {1}, |
| 1741 |
> |
abstract = {We compare the Particle-Particle Particle-Mesh (PPPM) and Ewald methods |
| 1742 |
> |
for calculating electrostatic interactions in periodic molecular |
| 1743 |
> |
systems. A brief comparison of the theories shows that the methods |
| 1744 |
> |
are very similar differing mainly in the technique which is used |
| 1745 |
> |
to perform the ''k-space'' or mesh calculation. Because the PPPM |
| 1746 |
> |
utilizes the highly efficient numerical Fast Fourier Transform (FFT) |
| 1747 |
> |
method it requires significantly less computational effort than |
| 1748 |
> |
the Ewald method and scale's almost linearly with system size.}, |
| 1749 |
> |
annote = {Qf464 Times Cited:50 Cited References Count:20}, |
| 1750 |
> |
issn = {0892-7022}, |
| 1751 |
> |
uri = {<Go to ISI>://A1994QF46400002}, |
| 1752 |
|
} |
| 1753 |
|
|
| 1754 |
< |
@ARTICLE{McLachlan1993, |
| 1755 |
< |
author = {R.~I McLachlan}, |
| 1756 |
< |
title = {Explicit Lie-Poisson integration and the Euler equations}, |
| 1757 |
< |
journal = {prl}, |
| 1758 |
< |
year = {1993}, |
| 1759 |
< |
volume = {71}, |
| 1760 |
< |
pages = {3043-3046}, |
| 1754 |
> |
@ARTICLE{Marrink1994, |
| 1755 |
> |
author = {S. J. Marrink and H. J. C. Berendsen}, |
| 1756 |
> |
title = {Simulation of Water Transport through a Lipid-Membrane}, |
| 1757 |
> |
journal = {Journal of Physical Chemistry}, |
| 1758 |
> |
year = {1994}, |
| 1759 |
> |
volume = {98}, |
| 1760 |
> |
pages = {4155-4168}, |
| 1761 |
> |
number = {15}, |
| 1762 |
> |
month = {Apr 14}, |
| 1763 |
> |
abstract = {To obtain insight in the process of water permeation through a lipid |
| 1764 |
> |
membrane, we performed molecular dynamics simulations on a phospholipid |
| 1765 |
> |
(DPPC)/water system with atomic detail. Since the actual process |
| 1766 |
> |
of permeation is too slow to be studied directly, we deduced the |
| 1767 |
> |
permeation rate indirectly via computation of the free energy and |
| 1768 |
> |
diffusion rate profiles of a water molecule across the bilayer. |
| 1769 |
> |
We conclude that the permeation of water through a lipid membrane |
| 1770 |
> |
cannot be described adequately by a simple homogeneous solubility-diffusion |
| 1771 |
> |
model. Both the excess free energy and the diffusion rate strongly |
| 1772 |
> |
depend on the position in the membrane, as a result from the inhomogeneous |
| 1773 |
> |
nature of the membrane. The calculated excess free energy profile |
| 1774 |
> |
has a shallow slope and a maximum height of 26 kJ/mol. The diffusion |
| 1775 |
> |
rate is highest in the middle of the membrane where the lipid density |
| 1776 |
> |
is low. In the interfacial region almost all water molecules are |
| 1777 |
> |
bound by the lipid headgroups, and the diffusion turns out to be |
| 1778 |
> |
1 order of magnitude smaller. The total transport process is essentially |
| 1779 |
> |
determined by the free energy barrier. The rate-limiting step is |
| 1780 |
> |
the permeation through the dense part of the lipid tails, where |
| 1781 |
> |
the resistance is highest. We found a permeation rate of 7(+/-3) |
| 1782 |
> |
x 10(-2) cm/s at 350 K, comparable to experimental values for DPPC |
| 1783 |
> |
membranes, if corrected for the temperature of the simulation. Taking |
| 1784 |
> |
the inhomogeneity of the membrane into account, we define a new |
| 1785 |
> |
''four-region'' model which seems to be more realistic than the |
| 1786 |
> |
''two-phase'' solubility-diffusion model.}, |
| 1787 |
> |
annote = {Ng219 Times Cited:187 Cited References Count:25}, |
| 1788 |
> |
issn = {0022-3654}, |
| 1789 |
> |
uri = {<Go to ISI>://A1994NG21900040}, |
| 1790 |
|
} |
| 1791 |
|
|
| 1792 |
+ |
@ARTICLE{Marsden1998, |
| 1793 |
+ |
author = {J. E. Marsden and G. W. Patrick and S. Shkoller}, |
| 1794 |
+ |
title = {Multisymplectic geometry, variational integrators, and nonlinear |
| 1795 |
+ |
PDEs}, |
| 1796 |
+ |
journal = {Communications in Mathematical Physics}, |
| 1797 |
+ |
year = {1998}, |
| 1798 |
+ |
volume = {199}, |
| 1799 |
+ |
pages = {351-395}, |
| 1800 |
+ |
number = {2}, |
| 1801 |
+ |
month = {Dec}, |
| 1802 |
+ |
abstract = {This paper presents a geometric-variational approach to continuous |
| 1803 |
+ |
and discrete mechanics and field theories. Using multisymplectic |
| 1804 |
+ |
geometry, we show that the existence of the fundamental geometric |
| 1805 |
+ |
structures as well as their preservation along solutions can be |
| 1806 |
+ |
obtained directly from the variational principle. In particular, |
| 1807 |
+ |
we prove that a unique multisymplectic structure is obtained by |
| 1808 |
+ |
taking the derivative of an action function, and use this structure |
| 1809 |
+ |
to prove covariant generalizations of conservation of symplecticity |
| 1810 |
+ |
and Noether's theorem. Natural discretization schemes for PDEs, |
| 1811 |
+ |
which have these important preservation properties, then follow |
| 1812 |
+ |
by choosing a discrete action functional. In the case of mechanics, |
| 1813 |
+ |
we recover the variational symplectic integrators of Veselov type, |
| 1814 |
+ |
while for PDEs we obtain covariant spacetime integrators which conserve |
| 1815 |
+ |
the corresponding discrete multisymplectic form as well as the discrete |
| 1816 |
+ |
momentum mappings corresponding to symmetries. We show that the |
| 1817 |
+ |
usual notion of symplecticity along an infinite-dimensional space |
| 1818 |
+ |
of fields can be naturally obtained by making a spacetime split. |
| 1819 |
+ |
All of the aspects of our method are demonstrated with a nonlinear |
| 1820 |
+ |
sine-Gordon equation, including computational results and a comparison |
| 1821 |
+ |
with other discretization schemes.}, |
| 1822 |
+ |
annote = {154RH Times Cited:88 Cited References Count:36}, |
| 1823 |
+ |
issn = {0010-3616}, |
| 1824 |
+ |
uri = {<Go to ISI>://000077902200006}, |
| 1825 |
+ |
} |
| 1826 |
+ |
|
| 1827 |
+ |
@ARTICLE{Matthey2004, |
| 1828 |
+ |
author = {T. Matthey and T. Cickovski and S. Hampton and A. Ko and Q. Ma and |
| 1829 |
+ |
M. Nyerges and T. Raeder and T. Slabach and J. A. Izaguirre}, |
| 1830 |
+ |
title = {ProtoMol, an object-oriented framework for prototyping novel algorithms |
| 1831 |
+ |
for molecular dynamics}, |
| 1832 |
+ |
journal = {Acm Transactions on Mathematical Software}, |
| 1833 |
+ |
year = {2004}, |
| 1834 |
+ |
volume = {30}, |
| 1835 |
+ |
pages = {237-265}, |
| 1836 |
+ |
number = {3}, |
| 1837 |
+ |
month = {Sep}, |
| 1838 |
+ |
abstract = {PROTOMOL is a high-performance framework in C++ for rapid prototyping |
| 1839 |
+ |
of novel algorithms for molecular dynamics and related applications. |
| 1840 |
+ |
Its flexibility is achieved primarily through the use of inheritance |
| 1841 |
+ |
and design patterns (object-oriented programming): Performance is |
| 1842 |
+ |
obtained by using templates that enable generation of efficient |
| 1843 |
+ |
code for sections critical to performance (generic programming). |
| 1844 |
+ |
The framework encapsulates important optimizations that can be used |
| 1845 |
+ |
by developers, such as parallelism in the force computation. Its |
| 1846 |
+ |
design is based on domain analysis of numerical integrators for |
| 1847 |
+ |
molecular dynamics (MD) and of fast solvers for the force computation, |
| 1848 |
+ |
particularly due to electrostatic interactions. Several new and |
| 1849 |
+ |
efficient algorithms are implemented in PROTOMOL. Finally, it is |
| 1850 |
+ |
shown that PROTOMOL'S sequential performance is excellent when compared |
| 1851 |
+ |
to a leading MD program, and that it scales well for moderate number |
| 1852 |
+ |
of processors. Binaries and source codes for Windows, Linux, Solaris, |
| 1853 |
+ |
IRIX, HP-UX, and AIX platforms are available under open source license |
| 1854 |
+ |
at http://protomol.sourceforge.net.}, |
| 1855 |
+ |
annote = {860EP Times Cited:2 Cited References Count:52}, |
| 1856 |
+ |
issn = {0098-3500}, |
| 1857 |
+ |
uri = {<Go to ISI>://000224325600001}, |
| 1858 |
+ |
} |
| 1859 |
+ |
|
| 1860 |
+ |
@ARTICLE{McLachlan1998, |
| 1861 |
+ |
author = {R. I. McLachlan and G. R. W. Quispel}, |
| 1862 |
+ |
title = {Generating functions for dynamical systems with symmetries, integrals, |
| 1863 |
+ |
and differential invariants}, |
| 1864 |
+ |
journal = {Physica D}, |
| 1865 |
+ |
year = {1998}, |
| 1866 |
+ |
volume = {112}, |
| 1867 |
+ |
pages = {298-309}, |
| 1868 |
+ |
number = {1-2}, |
| 1869 |
+ |
month = {Jan 15}, |
| 1870 |
+ |
abstract = {We give a survey and some new examples of generating functions for |
| 1871 |
+ |
systems with symplectic structure, systems with a first integral, |
| 1872 |
+ |
systems that preserve volume, and systems with symmetries and/or |
| 1873 |
+ |
time-reversing symmetries. Both ODEs and maps are treated, and we |
| 1874 |
+ |
discuss how generating functions may be used in the structure-preserving |
| 1875 |
+ |
numerical integration of ODEs with the above properties.}, |
| 1876 |
+ |
annote = {Yt049 Times Cited:7 Cited References Count:26}, |
| 1877 |
+ |
issn = {0167-2789}, |
| 1878 |
+ |
uri = {<Go to ISI>://000071558900021}, |
| 1879 |
+ |
} |
| 1880 |
+ |
|
| 1881 |
+ |
@ARTICLE{McLachlan1998a, |
| 1882 |
+ |
author = {R. I. McLachlan and G. R. W. Quispel and G. S. Turner}, |
| 1883 |
+ |
title = {Numerical integrators that preserve symmetries and reversing symmetries}, |
| 1884 |
+ |
journal = {Siam Journal on Numerical Analysis}, |
| 1885 |
+ |
year = {1998}, |
| 1886 |
+ |
volume = {35}, |
| 1887 |
+ |
pages = {586-599}, |
| 1888 |
+ |
number = {2}, |
| 1889 |
+ |
month = {Apr}, |
| 1890 |
+ |
abstract = {We consider properties of flows, the relationships between them, and |
| 1891 |
+ |
whether numerical integrators can be made to preserve these properties. |
| 1892 |
+ |
This is done in the context of automorphisms and antiautomorphisms |
| 1893 |
+ |
of a certain group generated by maps associated to vector fields. |
| 1894 |
+ |
This new framework unifies several known constructions. We also |
| 1895 |
+ |
use the concept of #covariance# of a numerical method with respect |
| 1896 |
+ |
to a group of coordinate transformations. The main application is |
| 1897 |
+ |
to explore the relationship between spatial symmetries, reversing |
| 1898 |
+ |
symmetries, and time symmetry of flows and numerical integrators.}, |
| 1899 |
+ |
annote = {Zc449 Times Cited:14 Cited References Count:33}, |
| 1900 |
+ |
issn = {0036-1429}, |
| 1901 |
+ |
uri = {<Go to ISI>://000072580500010}, |
| 1902 |
+ |
} |
| 1903 |
+ |
|
| 1904 |
|
@ARTICLE{McLachlan2005, |
| 1905 |
|
author = {R. I. McLachlan and A. Zanna}, |
| 1906 |
|
title = {The discrete Moser-Veselov algorithm for the free rigid body, revisited}, |
| 1928 |
|
uri = {<Go to ISI>://000228011900003}, |
| 1929 |
|
} |
| 1930 |
|
|
| 1931 |
+ |
@ARTICLE{Meineke2005, |
| 1932 |
+ |
author = {M. A. Meineke and C. F. Vardeman and T. Lin and C. J. Fennell and |
| 1933 |
+ |
J. D. Gezelter}, |
| 1934 |
+ |
title = {OOPSE: An object-oriented parallel simulation engine for molecular |
| 1935 |
+ |
dynamics}, |
| 1936 |
+ |
journal = {Journal of Computational Chemistry}, |
| 1937 |
+ |
year = {2005}, |
| 1938 |
+ |
volume = {26}, |
| 1939 |
+ |
pages = {252-271}, |
| 1940 |
+ |
number = {3}, |
| 1941 |
+ |
month = {Feb}, |
| 1942 |
+ |
abstract = {OOPSE is a new molecular dynamics simulation program that is capable |
| 1943 |
+ |
of efficiently integrating equations of motion for atom types with |
| 1944 |
+ |
orientational degrees of freedom (e.g. #sticky# atoms and point |
| 1945 |
+ |
dipoles). Transition metals can also be simulated using the embedded |
| 1946 |
+ |
atom method (EAM) potential included in the code. Parallel simulations |
| 1947 |
+ |
are carried out using the force-based decomposition method. Simulations |
| 1948 |
+ |
are specified using a very simple C-based meta-data language. A |
| 1949 |
+ |
number of advanced integrators are included, and the basic integrator |
| 1950 |
+ |
for orientational dynamics provides substantial improvements over |
| 1951 |
+ |
older quaternion-based schemes. (C) 2004 Wiley Periodicals, Inc.}, |
| 1952 |
+ |
annote = {891CF Times Cited:1 Cited References Count:56}, |
| 1953 |
+ |
issn = {0192-8651}, |
| 1954 |
+ |
uri = {<Go to ISI>://000226558200006}, |
| 1955 |
+ |
} |
| 1956 |
+ |
|
| 1957 |
+ |
@ARTICLE{Melchionna1993, |
| 1958 |
+ |
author = {S. Melchionna and G. Ciccotti and B. L. Holian}, |
| 1959 |
+ |
title = {Hoover Npt Dynamics for Systems Varying in Shape and Size}, |
| 1960 |
+ |
journal = {Molecular Physics}, |
| 1961 |
+ |
year = {1993}, |
| 1962 |
+ |
volume = {78}, |
| 1963 |
+ |
pages = {533-544}, |
| 1964 |
+ |
number = {3}, |
| 1965 |
+ |
month = {Feb 20}, |
| 1966 |
+ |
abstract = {In this paper we write down equations of motion (following the approach |
| 1967 |
+ |
pioneered by Hoover) for an exact isothermal-isobaric molecular |
| 1968 |
+ |
dynamics simulation, and we extend them to multiple thermostating |
| 1969 |
+ |
rates, to a shape-varying cell and to molecular systems, coherently |
| 1970 |
+ |
with the previous 'extended system method'. An integration scheme |
| 1971 |
+ |
is proposed together with a numerical illustration of the method.}, |
| 1972 |
+ |
annote = {Kq355 Times Cited:172 Cited References Count:17}, |
| 1973 |
+ |
issn = {0026-8976}, |
| 1974 |
+ |
uri = {<Go to ISI>://A1993KQ35500002}, |
| 1975 |
+ |
} |
| 1976 |
+ |
|
| 1977 |
|
@ARTICLE{Memmer2002, |
| 1978 |
|
author = {R. Memmer}, |
| 1979 |
|
title = {Liquid crystal phases of achiral banana-shaped molecules: a computer |
| 2014 |
|
uri = {<Go to ISI>://000174410500001}, |
| 2015 |
|
} |
| 2016 |
|
|
| 1565 |
– |
@ARTICLE{Metropolis1949, |
| 1566 |
– |
author = {N. Metropolis and S. Ulam}, |
| 1567 |
– |
title = {The $\mbox{Monte Carlo}$ Method}, |
| 1568 |
– |
journal = {J. Am. Stat. Ass.}, |
| 1569 |
– |
year = {1949}, |
| 1570 |
– |
volume = {44}, |
| 1571 |
– |
pages = {335-341}, |
| 1572 |
– |
} |
| 1573 |
– |
|
| 2017 |
|
@ARTICLE{Mielke2004, |
| 2018 |
|
author = {S. P. Mielke and W. H. Fink and V. V. Krishnan and N. Gronbech-Jensen |
| 2019 |
|
and C. J. Benham}, |
| 2155 |
|
annote = {491UW Times Cited:48 Cited References Count:25}, |
| 2156 |
|
issn = {0021-9606}, |
| 2157 |
|
uri = {<Go to ISI>://000172129300049}, |
| 2158 |
+ |
} |
| 2159 |
+ |
|
| 2160 |
+ |
@ARTICLE{Omelyan1998, |
| 2161 |
+ |
author = {I. P. Omelyan}, |
| 2162 |
+ |
title = {On the numerical integration of motion for rigid polyatomics: The |
| 2163 |
+ |
modified quaternion approach}, |
| 2164 |
+ |
journal = {Computers in Physics}, |
| 2165 |
+ |
year = {1998}, |
| 2166 |
+ |
volume = {12}, |
| 2167 |
+ |
pages = {97-103}, |
| 2168 |
+ |
number = {1}, |
| 2169 |
+ |
month = {Jan-Feb}, |
| 2170 |
+ |
abstract = {A revised version of the quaternion approach for numerical integration |
| 2171 |
+ |
of the equations of motion for rigid polyatomic molecules is proposed. |
| 2172 |
+ |
The modified approach is based on a formulation of the quaternion |
| 2173 |
+ |
dynamics with constraints. This allows one to resolve the rigidity |
| 2174 |
+ |
problem rigorously using constraint forces. It is shown that the |
| 2175 |
+ |
procedure for preservation of molecular rigidity can be realized |
| 2176 |
+ |
particularly simply within the Verlet algorithm in velocity form. |
| 2177 |
+ |
We demonstrate that the method presented leads to an improved numerical |
| 2178 |
+ |
stability with respect to the usual quaternion rescaling scheme |
| 2179 |
+ |
and it is roughly as good as the cumbersome atomic-constraint technique. |
| 2180 |
+ |
(C) 1998 American Institute of Physics.}, |
| 2181 |
+ |
annote = {Yx279 Times Cited:12 Cited References Count:28}, |
| 2182 |
+ |
issn = {0894-1866}, |
| 2183 |
+ |
uri = {<Go to ISI>://000072024300025}, |
| 2184 |
|
} |
| 2185 |
|
|
| 2186 |
+ |
@ARTICLE{Omelyan1998a, |
| 2187 |
+ |
author = {I. P. Omelyan}, |
| 2188 |
+ |
title = {Algorithm for numerical integration of the rigid-body equations of |
| 2189 |
+ |
motion}, |
| 2190 |
+ |
journal = {Physical Review E}, |
| 2191 |
+ |
year = {1998}, |
| 2192 |
+ |
volume = {58}, |
| 2193 |
+ |
pages = {1169-1172}, |
| 2194 |
+ |
number = {1}, |
| 2195 |
+ |
month = {Jul}, |
| 2196 |
+ |
abstract = {An algorithm for numerical integration of the rigid-body equations |
| 2197 |
+ |
of motion is proposed. The algorithm uses the leapfrog scheme and |
| 2198 |
+ |
the quantities involved are angular velocities and orientational |
| 2199 |
+ |
variables that can be expressed in terms of either principal axes |
| 2200 |
+ |
or quaternions. Due to specific features of the algorithm, orthonormality |
| 2201 |
+ |
and unit norms of the orientational variables are integrals of motion, |
| 2202 |
+ |
despite an approximate character of the produced trajectories. It |
| 2203 |
+ |
is shown that the method presented appears to be the most efficient |
| 2204 |
+ |
among all such algorithms known.}, |
| 2205 |
+ |
annote = {101XL Times Cited:8 Cited References Count:22}, |
| 2206 |
+ |
issn = {1063-651X}, |
| 2207 |
+ |
uri = {<Go to ISI>://000074893400151}, |
| 2208 |
+ |
} |
| 2209 |
+ |
|
| 2210 |
|
@ARTICLE{Orlandi2006, |
| 2211 |
|
author = {S. Orlandi and R. Berardi and J. Steltzer and C. Zannoni}, |
| 2212 |
|
title = {A Monte Carlo study of the mesophases formed by polar bent-shaped |
| 2230 |
|
annote = {028CP Times Cited:0 Cited References Count:42}, |
| 2231 |
|
issn = {0021-9606}, |
| 2232 |
|
uri = {<Go to ISI>://000236464000072}, |
| 2233 |
+ |
} |
| 2234 |
+ |
|
| 2235 |
+ |
@ARTICLE{Owren1992, |
| 2236 |
+ |
author = {B. Owren and M. Zennaro}, |
| 2237 |
+ |
title = {Derivation of Efficient, Continuous, Explicit Runge-Kutta Methods}, |
| 2238 |
+ |
journal = {Siam Journal on Scientific and Statistical Computing}, |
| 2239 |
+ |
year = {1992}, |
| 2240 |
+ |
volume = {13}, |
| 2241 |
+ |
pages = {1488-1501}, |
| 2242 |
+ |
number = {6}, |
| 2243 |
+ |
month = {Nov}, |
| 2244 |
+ |
abstract = {Continuous, explicit Runge-Kutta methods with the minimal number of |
| 2245 |
+ |
stages are considered. These methods are continuously differentiable |
| 2246 |
+ |
if and only if one of the stages is the FSAL evaluation. A characterization |
| 2247 |
+ |
of a subclass of these methods is developed for orders 3, 4, and |
| 2248 |
+ |
5. It is shown how the free parameters of these methods can be used |
| 2249 |
+ |
either to minimize the continuous truncation error coefficients |
| 2250 |
+ |
or to maximize the stability region. As a representative for these |
| 2251 |
+ |
methods the fifth-order method with minimized error coefficients |
| 2252 |
+ |
is chosen, supplied with an error estimation method, and analysed |
| 2253 |
+ |
by using the DETEST software. The results are compared with a similar |
| 2254 |
+ |
implementation of the Dormand-Prince 5(4) pair with interpolant, |
| 2255 |
+ |
showing a significant advantage in the new method for the chosen |
| 2256 |
+ |
problems.}, |
| 2257 |
+ |
annote = {Ju936 Times Cited:25 Cited References Count:20}, |
| 2258 |
+ |
issn = {0196-5204}, |
| 2259 |
+ |
uri = {<Go to ISI>://A1992JU93600013}, |
| 2260 |
|
} |
| 2261 |
|
|
| 2262 |
|
@ARTICLE{Palacios1998, |
| 2304 |
|
uri = {<Go to ISI>://000077460000052}, |
| 2305 |
|
} |
| 2306 |
|
|
| 2307 |
+ |
@ARTICLE{Parr1995, |
| 2308 |
+ |
author = {T. J. Parr and R. W. Quong}, |
| 2309 |
+ |
title = {Antlr - a Predicated-Ll(K) Parser Generator}, |
| 2310 |
+ |
journal = {Software-Practice \& Experience}, |
| 2311 |
+ |
year = {1995}, |
| 2312 |
+ |
volume = {25}, |
| 2313 |
+ |
pages = {789-810}, |
| 2314 |
+ |
number = {7}, |
| 2315 |
+ |
month = {Jul}, |
| 2316 |
+ |
abstract = {Despite the parsing power of LR/LALR algorithms, e.g. YACC, programmers |
| 2317 |
+ |
often choose to write recursive-descent parsers by hand to obtain |
| 2318 |
+ |
increased flexibility, better error handling, and ease of debugging. |
| 2319 |
+ |
We introduce ANTLR, a public-domain parser generator that combines |
| 2320 |
+ |
the flexibility of hand-coded parsing with the convenience of a |
| 2321 |
+ |
parser generator, which is a component of PCCTS. ANTLR has many |
| 2322 |
+ |
features that make it easier to use than other language tools. Most |
| 2323 |
+ |
important, ANTLR provides predicates which let the programmer systematically |
| 2324 |
+ |
direct the parse via arbitrary expressions using semantic and syntactic |
| 2325 |
+ |
context; in practice, the use of predicates eliminates the need |
| 2326 |
+ |
to hand-tweak the ANTLR output, even for difficult parsing problems. |
| 2327 |
+ |
ANTLR also integrates the description of lexical and syntactic analysis, |
| 2328 |
+ |
accepts LL(k) grammars for k > 1 with extended BNF notation, and |
| 2329 |
+ |
can automatically generate abstract syntax trees. ANTLR is widely |
| 2330 |
+ |
used, with over 1000 registered industrial and academic users in |
| 2331 |
+ |
37 countries. It has been ported to many popular systems such as |
| 2332 |
+ |
the PC, Macintosh, and a variety of UNIX platforms; a commercial |
| 2333 |
+ |
C++ front-end has been developed as a result of one of our industrial |
| 2334 |
+ |
collaborations.}, |
| 2335 |
+ |
annote = {Rk104 Times Cited:19 Cited References Count:10}, |
| 2336 |
+ |
issn = {0038-0644}, |
| 2337 |
+ |
uri = {<Go to ISI>://A1995RK10400004}, |
| 2338 |
+ |
} |
| 2339 |
+ |
|
| 2340 |
|
@ARTICLE{Pastor1988, |
| 2341 |
|
author = {R. W. Pastor and B. R. Brooks and A. Szabo}, |
| 2342 |
|
title = {An Analysis of the Accuracy of Langevin and Molecular-Dynamics Algorithms}, |
| 2410 |
|
uri = {<Go to ISI>://000076497600007}, |
| 2411 |
|
} |
| 2412 |
|
|
| 1860 |
– |
@ARTICLE{Powles1973, |
| 1861 |
– |
author = {J.~G. Powles}, |
| 1862 |
– |
title = {A general ellipsoid can not always serve as a modle for the rotational |
| 1863 |
– |
diffusion properties of arbitrary shaped rigid molecules}, |
| 1864 |
– |
journal = {Advan. Phys.}, |
| 1865 |
– |
year = {1973}, |
| 1866 |
– |
volume = {22}, |
| 1867 |
– |
pages = {1-56}, |
| 1868 |
– |
} |
| 1869 |
– |
|
| 2413 |
|
@ARTICLE{Recio2004, |
| 2414 |
|
author = {J. Fernandez-Recio and M. Totrov and R. Abagyan}, |
| 2415 |
|
title = {Identification of protein-protein interaction sites from docking |
| 2473 |
|
uri = {<Go to ISI>://000235990500001}, |
| 2474 |
|
} |
| 2475 |
|
|
| 2476 |
+ |
@ARTICLE{Reich1999, |
| 2477 |
+ |
author = {S. Reich}, |
| 2478 |
+ |
title = {Backward error analysis for numerical integrators}, |
| 2479 |
+ |
journal = {Siam Journal on Numerical Analysis}, |
| 2480 |
+ |
year = {1999}, |
| 2481 |
+ |
volume = {36}, |
| 2482 |
+ |
pages = {1549-1570}, |
| 2483 |
+ |
number = {5}, |
| 2484 |
+ |
month = {Sep 8}, |
| 2485 |
+ |
abstract = {Backward error analysis has become an important tool for understanding |
| 2486 |
+ |
the long time behavior of numerical integration methods. This is |
| 2487 |
+ |
true in particular for the integration of Hamiltonian systems where |
| 2488 |
+ |
backward error analysis can be used to show that a symplectic method |
| 2489 |
+ |
will conserve energy over exponentially long periods of time. Such |
| 2490 |
+ |
results are typically based on two aspects of backward error analysis: |
| 2491 |
+ |
(i) It can be shown that the modified vector fields have some qualitative |
| 2492 |
+ |
properties which they share with the given problem and (ii) an estimate |
| 2493 |
+ |
is given for the difference between the best interpolating vector |
| 2494 |
+ |
field and the numerical method. These aspects have been investigated |
| 2495 |
+ |
recently, for example, by Benettin and Giorgilli in [J. Statist. |
| 2496 |
+ |
Phys., 74 (1994), pp. 1117-1143], by Hairer in [Ann. Numer. Math., |
| 2497 |
+ |
1 (1994), pp. 107-132], and by Hairer and Lubich in [Numer. Math., |
| 2498 |
+ |
76 (1997), pp. 441-462]. In this paper we aim at providing a unifying |
| 2499 |
+ |
framework and a simplification of the existing results and corresponding |
| 2500 |
+ |
proofs. Our approach to backward error analysis is based on a simple |
| 2501 |
+ |
recursive definition of the modified vector fields that does not |
| 2502 |
+ |
require explicit Taylor series expansion of the numerical method |
| 2503 |
+ |
and the corresponding flow maps as in the above-cited works. As |
| 2504 |
+ |
an application we discuss the long time integration of chaotic Hamiltonian |
| 2505 |
+ |
systems and the approximation of time averages along numerically |
| 2506 |
+ |
computed trajectories.}, |
| 2507 |
+ |
annote = {237HV Times Cited:43 Cited References Count:41}, |
| 2508 |
+ |
issn = {0036-1429}, |
| 2509 |
+ |
uri = {<Go to ISI>://000082650600010}, |
| 2510 |
+ |
} |
| 2511 |
+ |
|
| 2512 |
|
@ARTICLE{Ros2005, |
| 2513 |
|
author = {M. B. Ros and J. L. Serrano and M. R. {de la Fuente} and C. L. Folcia}, |
| 2514 |
|
title = {Banana-shaped liquid crystals: a new field to explore}, |
| 2530 |
|
uri = {<Go to ISI>://000233775500001}, |
| 2531 |
|
} |
| 2532 |
|
|
| 2533 |
+ |
@ARTICLE{Roux1991, |
| 2534 |
+ |
author = {B. Roux and M. Karplus}, |
| 2535 |
+ |
title = {Ion-Transport in a Gramicidin-Like Channel - Dynamics and Mobility}, |
| 2536 |
+ |
journal = {Journal of Physical Chemistry}, |
| 2537 |
+ |
year = {1991}, |
| 2538 |
+ |
volume = {95}, |
| 2539 |
+ |
pages = {4856-4868}, |
| 2540 |
+ |
number = {12}, |
| 2541 |
+ |
month = {Jun 13}, |
| 2542 |
+ |
abstract = {The mobility of water, Na+. and K+ has been calculated inside a periodic |
| 2543 |
+ |
poly-(L,D)-alanine beta-helix, a model for the interior of the gramicidin |
| 2544 |
+ |
channel. Because of the different dynamical regimes for the three |
| 2545 |
+ |
species (high barrier for Na+, low barrier for K+, almost free diffusion |
| 2546 |
+ |
for water), different methods are used to calculate the mobilities. |
| 2547 |
+ |
By use of activated dynamics and a potential of mean force determined |
| 2548 |
+ |
previously (Roux, B.; Karplus, M. Biophys. J. 1991, 59, 961), the |
| 2549 |
+ |
barrier crossing rate of Na+ ion is determined. The motion of Na+ |
| 2550 |
+ |
at the transition state is controlled by local interactions and |
| 2551 |
+ |
collisions with the neighboring carbonyls and the two nearest water |
| 2552 |
+ |
molecules. There are significant deviations from transition-state |
| 2553 |
+ |
theory; the transmission coefficient is equal to 0.11. The water |
| 2554 |
+ |
and K+ motions are found to be well described by a diffusive model; |
| 2555 |
+ |
the motion of K+ appears to be controlled by the diffusion of water. |
| 2556 |
+ |
The time-dependent friction functions of Na+ and K+ ions in the |
| 2557 |
+ |
periodic beta-helix are calculated and analyzed by using a generalized |
| 2558 |
+ |
Langevin equation approach. Both Na+ and K+ suffer many rapid collisions, |
| 2559 |
+ |
and their dynamics is overdamped and noninertial. Thus, the selectivity |
| 2560 |
+ |
sequence of ions in the beta-helix is not influenced strongly by |
| 2561 |
+ |
their masses.}, |
| 2562 |
+ |
annote = {Fr756 Times Cited:97 Cited References Count:65}, |
| 2563 |
+ |
issn = {0022-3654}, |
| 2564 |
+ |
uri = {<Go to ISI>://A1991FR75600049}, |
| 2565 |
+ |
} |
| 2566 |
+ |
|
| 2567 |
|
@ARTICLE{Roy2005, |
| 2568 |
|
author = {A. Roy and N. V. Madhusudana}, |
| 2569 |
|
title = {A frustrated packing model for the B-6-B-1-SmAP(A) sequence of phases |
| 2590 |
|
uri = {<Go to ISI>://000233363300002}, |
| 2591 |
|
} |
| 2592 |
|
|
| 2593 |
+ |
@ARTICLE{Ryckaert1977, |
| 2594 |
+ |
author = {J. P. Ryckaert and G. Ciccotti and H. J. C. Berendsen}, |
| 2595 |
+ |
title = {Numerical-Integration of Cartesian Equations of Motion of a System |
| 2596 |
+ |
with Constraints - Molecular-Dynamics of N-Alkanes}, |
| 2597 |
+ |
journal = {Journal of Computational Physics}, |
| 2598 |
+ |
year = {1977}, |
| 2599 |
+ |
volume = {23}, |
| 2600 |
+ |
pages = {327-341}, |
| 2601 |
+ |
number = {3}, |
| 2602 |
+ |
annote = {Cz253 Times Cited:3680 Cited References Count:7}, |
| 2603 |
+ |
issn = {0021-9991}, |
| 2604 |
+ |
uri = {<Go to ISI>://A1977CZ25300007}, |
| 2605 |
+ |
} |
| 2606 |
+ |
|
| 2607 |
+ |
@ARTICLE{Sagui1999, |
| 2608 |
+ |
author = {C. Sagui and T. A. Darden}, |
| 2609 |
+ |
title = {Molecular dynamics simulations of biomolecules: Long-range electrostatic |
| 2610 |
+ |
effects}, |
| 2611 |
+ |
journal = {Annual Review of Biophysics and Biomolecular Structure}, |
| 2612 |
+ |
year = {1999}, |
| 2613 |
+ |
volume = {28}, |
| 2614 |
+ |
pages = {155-179}, |
| 2615 |
+ |
abstract = {Current computer simulations of biomolecules typically make use of |
| 2616 |
+ |
classical molecular dynamics methods, as a very large number (tens |
| 2617 |
+ |
to hundreds of thousands) of atoms are involved over timescales |
| 2618 |
+ |
of many nanoseconds. The methodology for treating short-range bonded |
| 2619 |
+ |
and van der Waals interactions has matured. However, long-range |
| 2620 |
+ |
electrostatic interactions still represent a bottleneck in simulations. |
| 2621 |
+ |
In this article, we introduce the basic issues for an accurate representation |
| 2622 |
+ |
of the relevant electrostatic interactions. In spite of the huge |
| 2623 |
+ |
computational time demanded by most biomolecular systems, it is |
| 2624 |
+ |
no longer necessary to resort to uncontrolled approximations such |
| 2625 |
+ |
as the use of cutoffs. In particular, we discuss the Ewald summation |
| 2626 |
+ |
methods, the fast particle mesh methods, and the fast multipole |
| 2627 |
+ |
methods. We also review recent efforts to understand the role of |
| 2628 |
+ |
boundary conditions in systems with long-range interactions, and |
| 2629 |
+ |
conclude with a short perspective on future trends.}, |
| 2630 |
+ |
annote = {213KJ Times Cited:126 Cited References Count:73}, |
| 2631 |
+ |
issn = {1056-8700}, |
| 2632 |
+ |
uri = {<Go to ISI>://000081271400008}, |
| 2633 |
+ |
} |
| 2634 |
+ |
|
| 2635 |
|
@ARTICLE{Sandu1999, |
| 2636 |
|
author = {A. Sandu and T. Schlick}, |
| 2637 |
|
title = {Masking resonance artifacts in force-splitting methods for biomolecular |
| 2682 |
|
annote = {194FM Times Cited:14 Cited References Count:32}, |
| 2683 |
|
issn = {0021-9991}, |
| 2684 |
|
uri = {<Go to ISI>://000080181500004}, |
| 2685 |
+ |
} |
| 2686 |
+ |
|
| 2687 |
+ |
@ARTICLE{Sasaki2004, |
| 2688 |
+ |
author = {Y. Sasaki and R. Shukla and B. D. Smith}, |
| 2689 |
+ |
title = {Facilitated phosphatidylserine flip-flop across vesicle and cell |
| 2690 |
+ |
membranes using urea-derived synthetic translocases}, |
| 2691 |
+ |
journal = {Organic \& Biomolecular Chemistry}, |
| 2692 |
+ |
year = {2004}, |
| 2693 |
+ |
volume = {2}, |
| 2694 |
+ |
pages = {214-219}, |
| 2695 |
+ |
number = {2}, |
| 2696 |
+ |
abstract = {Tris(2-aminoethyl) amine derivatives with appended urea and sulfonamide |
| 2697 |
+ |
groups are shown to facilitate the translocation of fluorescent |
| 2698 |
+ |
phospholipid probes and endogenous phosphatidylserine across vesicle |
| 2699 |
+ |
and erythrocyte cell membranes. The synthetic translocases appear |
| 2700 |
+ |
to operate by binding to the phospholipid head groups and forming |
| 2701 |
+ |
lipophilic supramolecular complexes which diffuse through the non-polar |
| 2702 |
+ |
interior of the bilayer membrane.}, |
| 2703 |
+ |
annote = {760PX Times Cited:8 Cited References Count:25}, |
| 2704 |
+ |
issn = {1477-0520}, |
| 2705 |
+ |
uri = {<Go to ISI>://000187843800012}, |
| 2706 |
|
} |
| 2707 |
|
|
| 2708 |
|
@ARTICLE{Satoh1996, |
| 2727 |
|
uri = {<Go to ISI>://A1996UQ97500017}, |
| 2728 |
|
} |
| 2729 |
|
|
| 2730 |
+ |
@ARTICLE{Schaps1999, |
| 2731 |
+ |
author = {G. L. Schaps}, |
| 2732 |
+ |
title = {Compiler construction with ANTLR and Java - Tools for building tools}, |
| 2733 |
+ |
journal = {Dr Dobbs Journal}, |
| 2734 |
+ |
year = {1999}, |
| 2735 |
+ |
volume = {24}, |
| 2736 |
+ |
pages = {84-+}, |
| 2737 |
+ |
number = {3}, |
| 2738 |
+ |
month = {Mar}, |
| 2739 |
+ |
annote = {163EC Times Cited:0 Cited References Count:0}, |
| 2740 |
+ |
issn = {1044-789X}, |
| 2741 |
+ |
uri = {<Go to ISI>://000078389200023}, |
| 2742 |
+ |
} |
| 2743 |
+ |
|
| 2744 |
|
@ARTICLE{Shen2002, |
| 2745 |
|
author = {M. Y. Shen and K. F. Freed}, |
| 2746 |
|
title = {Long time dynamics of met-enkephalin: Comparison of explicit and |
| 2789 |
|
uri = {<Go to ISI>://000227296700019}, |
| 2790 |
|
} |
| 2791 |
|
|
| 2792 |
+ |
@ARTICLE{Shimada1993, |
| 2793 |
+ |
author = {J. Shimada and H. Kaneko and T. Takada}, |
| 2794 |
+ |
title = {Efficient Calculations of Coulombic Interactions in Biomolecular |
| 2795 |
+ |
Simulations with Periodic Boundary-Conditions}, |
| 2796 |
+ |
journal = {Journal of Computational Chemistry}, |
| 2797 |
+ |
year = {1993}, |
| 2798 |
+ |
volume = {14}, |
| 2799 |
+ |
pages = {867-878}, |
| 2800 |
+ |
number = {7}, |
| 2801 |
+ |
month = {Jul}, |
| 2802 |
+ |
abstract = {To make improved treatments of electrostatic interactions in biomacromolecular |
| 2803 |
+ |
simulations, two possibilities are considered. The first is the |
| 2804 |
+ |
famous particle-particle and particle-mesh (PPPM) method developed |
| 2805 |
+ |
by Hockney and Eastwood, and the second is a new one developed here |
| 2806 |
+ |
in their spirit but by the use of the multipole expansion technique |
| 2807 |
+ |
suggested by Ladd. It is then numerically found that the new PPPM |
| 2808 |
+ |
method gives more accurate results for a two-particle system at |
| 2809 |
+ |
small separation of particles. Preliminary numerical examination |
| 2810 |
+ |
of the various computational methods for a single configuration |
| 2811 |
+ |
of a model BPTI-water system containing about 24,000 particles indicates |
| 2812 |
+ |
that both of the PPPM methods give far more accurate values with |
| 2813 |
+ |
reasonable computational cost than do the conventional truncation |
| 2814 |
+ |
methods. It is concluded the two PPPM methods are nearly comparable |
| 2815 |
+ |
in overall performance for the many-particle systems, although the |
| 2816 |
+ |
first method has the drawback that the accuracy in the total electrostatic |
| 2817 |
+ |
energy is not high for configurations of charged particles randomly |
| 2818 |
+ |
generated.}, |
| 2819 |
+ |
annote = {Lh164 Times Cited:27 Cited References Count:47}, |
| 2820 |
+ |
issn = {0192-8651}, |
| 2821 |
+ |
uri = {<Go to ISI>://A1993LH16400011}, |
| 2822 |
+ |
} |
| 2823 |
+ |
|
| 2824 |
|
@ARTICLE{Skeel2002, |
| 2825 |
|
author = {R. D. Skeel and J. A. Izaguirre}, |
| 2826 |
|
title = {An impulse integrator for Langevin dynamics}, |
| 2909 |
|
uri = {<Go to ISI>://000230332400077}, |
| 2910 |
|
} |
| 2911 |
|
|
| 2190 |
– |
@BOOK{Tolman1979, |
| 2191 |
– |
title = {The Principles of Statistical Mechanics}, |
| 2192 |
– |
publisher = {Dover Publications, Inc.}, |
| 2193 |
– |
year = {1979}, |
| 2194 |
– |
author = {R.~C. Tolman}, |
| 2195 |
– |
address = {New York}, |
| 2196 |
– |
chapter = {2}, |
| 2197 |
– |
pages = {19-22}, |
| 2198 |
– |
} |
| 2199 |
– |
|
| 2912 |
|
@ARTICLE{Tu1995, |
| 2913 |
|
author = {K. Tu and D. J. Tobias and M. L. Klein}, |
| 2914 |
|
title = {Constant pressure and temperature molecular dynamics simulation of |
| 2970 |
|
uri = {<Go to ISI>://A1992JE89100044}, |
| 2971 |
|
} |
| 2972 |
|
|
| 2261 |
– |
@ARTICLE{Wegener1979, |
| 2262 |
– |
author = {W.~A. Wegener, V.~J. Koester and R.~M. Dowben}, |
| 2263 |
– |
title = {A general ellipsoid can not always serve as a modle for the rotational |
| 2264 |
– |
diffusion properties of arbitrary shaped rigid molecules}, |
| 2265 |
– |
journal = {Proc. Natl. Acad. Sci.}, |
| 2266 |
– |
year = {1979}, |
| 2267 |
– |
volume = {76}, |
| 2268 |
– |
pages = {6356-6360}, |
| 2269 |
– |
number = {12}, |
| 2270 |
– |
} |
| 2271 |
– |
|
| 2973 |
|
@ARTICLE{Withers2003, |
| 2974 |
|
author = {I. M. Withers}, |
| 2975 |
|
title = {Effects of longitudinal quadrupoles on the phase behavior of a Gay-Berne |
| 3012 |
|
uri = {<Go to ISI>://000186273200027}, |
| 3013 |
|
} |
| 3014 |
|
|
| 3015 |
+ |
@ARTICLE{Wolf1999, |
| 3016 |
+ |
author = {D. Wolf and P. Keblinski and S. R. Phillpot and J. Eggebrecht}, |
| 3017 |
+ |
title = {Exact method for the simulation of Coulombic systems by spherically |
| 3018 |
+ |
truncated, pairwise r(-1) summation}, |
| 3019 |
+ |
journal = {Journal of Chemical Physics}, |
| 3020 |
+ |
year = {1999}, |
| 3021 |
+ |
volume = {110}, |
| 3022 |
+ |
pages = {8254-8282}, |
| 3023 |
+ |
number = {17}, |
| 3024 |
+ |
month = {May 1}, |
| 3025 |
+ |
abstract = {Based on a recent result showing that the net Coulomb potential in |
| 3026 |
+ |
condensed ionic systems is rather short ranged, an exact and physically |
| 3027 |
+ |
transparent method permitting the evaluation of the Coulomb potential |
| 3028 |
+ |
by direct summation over the r(-1) Coulomb pair potential is presented. |
| 3029 |
+ |
The key observation is that the problems encountered in determining |
| 3030 |
+ |
the Coulomb energy by pairwise, spherically truncated r(-1) summation |
| 3031 |
+ |
are a direct consequence of the fact that the system summed over |
| 3032 |
+ |
is practically never neutral. A simple method is developed that |
| 3033 |
+ |
achieves charge neutralization wherever the r(-1) pair potential |
| 3034 |
+ |
is truncated. This enables the extraction of the Coulomb energy, |
| 3035 |
+ |
forces, and stresses from a spherically truncated, usually charged |
| 3036 |
+ |
environment in a manner that is independent of the grouping of the |
| 3037 |
+ |
pair terms. The close connection of our approach with the Ewald |
| 3038 |
+ |
method is demonstrated and exploited, providing an efficient method |
| 3039 |
+ |
for the simulation of even highly disordered ionic systems by direct, |
| 3040 |
+ |
pairwise r(-1) summation with spherical truncation at rather short |
| 3041 |
+ |
range, i.e., a method which fully exploits the short-ranged nature |
| 3042 |
+ |
of the interactions in ionic systems. The method is validated by |
| 3043 |
+ |
simulations of crystals, liquids, and interfacial systems, such |
| 3044 |
+ |
as free surfaces and grain boundaries. (C) 1999 American Institute |
| 3045 |
+ |
of Physics. [S0021-9606(99)51517-1].}, |
| 3046 |
+ |
annote = {189PD Times Cited:70 Cited References Count:34}, |
| 3047 |
+ |
issn = {0021-9606}, |
| 3048 |
+ |
uri = {<Go to ISI>://000079913000008}, |
| 3049 |
+ |
} |
| 3050 |
+ |
|
| 3051 |
+ |
@ARTICLE{Yoshida1990, |
| 3052 |
+ |
author = {H. Yoshida}, |
| 3053 |
+ |
title = {Construction of Higher-Order Symplectic Integrators}, |
| 3054 |
+ |
journal = {Physics Letters A}, |
| 3055 |
+ |
year = {1990}, |
| 3056 |
+ |
volume = {150}, |
| 3057 |
+ |
pages = {262-268}, |
| 3058 |
+ |
number = {5-7}, |
| 3059 |
+ |
month = {Nov 12}, |
| 3060 |
+ |
annote = {Ej798 Times Cited:492 Cited References Count:9}, |
| 3061 |
+ |
issn = {0375-9601}, |
| 3062 |
+ |
uri = {<Go to ISI>://A1990EJ79800009}, |
| 3063 |
+ |
} |
| 3064 |
+ |
|