ACCURATE SYMPLECTIC INTEGRATORS VIA RANDOM SAMPLING

被引：7

作者：

HOOVER, WG ^{[1
]}

KUM, O ^{[1
]}

OWENS, NE ^{[1
]}

机构：

[1] LAWRENCE LIVERMORE NATL LAB,LIVERMORE,CA 94551

来源：

JOURNAL OF CHEMICAL PHYSICS | 1995年 / 103卷 / 04期

关键词：

D O I：

10.1063/1.469774

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

We develop a random-sampling method for finding accurate symplectic integrators which best match the exact trajectory of a one-dimensional harmonic oscillator. We recover several well-known algorithms. We demonstrate the usefulness of the random sampling method by finding and validating a new integrator, applying it to the classical many-body problem. (C) 1994 American Institute of Physics.

引用

页码：1530 / 1532

页数：3

共 50 条

[31] Symplectic Integrators: Rotations and Roundoff Errors
Jean-Marc Petit
Celestial Mechanics and Dynamical Astronomy, 1998, 70 : 1 - 21
[32] Symplectic integrators for the multichannel schroedinger equation
Manolopoulos, David E.
Gray, Stephen K.
Journal of Chemical Physics, 1995, 102 (23):
[33] A CLASS OF EXPLICIT RATIONAL SYMPLECTIC INTEGRATORS
Fang, Yonglei
Li, Qinghong
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2012, 2 (02): : 161 - 171
[34] Dedicated symplectic integrators for rotation motions
Jacques Laskar
Timothée Vaillant
Celestial Mechanics and Dynamical Astronomy, 2019, 131
[35] Symplectic integrators for the multilevel Redfield equation
Kalyanaraman, C
Evans, DG
CHEMICAL PHYSICS LETTERS, 2000, 324 (5-6) : 459 - 465
[36] THE USE OF SYMPLECTIC TIME INTEGRATORS IN HYDROINFORMATICS
Violeau, D.
Peyrard, C.
Dombre, E.
PROCEEDINGS OF THE 36TH IAHR WORLD CONGRESS: DELTAS OF THE FUTURE AND WHAT HAPPENS UPSTREAM, 2015, : 3424 - 3434
[37] SYMPLECTIC INTEGRATORS AND THEIR APPLICATION TO DYNAMICAL ASTRONOMY
Kinoshita, Hiroshi
Yoshida, Haruo
Nakai, Hiroshi
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1990, 50 (01): : 59 - 71
[38] Symplectic integrators with complex time steps
Chambers, JE
ASTRONOMICAL JOURNAL, 2003, 126 (02): : 1119 - 1126
[39] Symplectic integrators for classical spin systems
Steinigeweg, Robin
Schmidt, Heinz-Juergen
COMPUTER PHYSICS COMMUNICATIONS, 2006, 174 (11) : 853 - 861
[40] Stable symplectic integrators for power systems
Okunbor, D
Akinjide, E
COMPUTATIONAL SCIENCE-ICCS 2002, PT I, PROCEEDINGS, 2002, 2329 : 1030 - 1039

← 1 2 3 4 5 →