Published February 1, 2008 | Version v1
Journal article Metadata-only

A new class of energy-preserving numerical integration methods

Creators

  • 1. Department of Mathematics and Centre of Excellence for Mathematics and Statistics of Complex Systems, La Trobe University, Victoria 3086 (Australia)
  • 2. Department of Mathematics, La Trobe University, Victoria 3086 (Australia)

Description

The first ever energy-preserving B-series numerical integration method for (ordinary) differential equations is presented and applied to several Hamiltonian systems. Related novel Lie algebraic results are also discussed

Additional details

Identifiers

DOI
10.1088/1751-8113/41/4/045206;
PII
S1751-8113(08)63502-7;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
41
Journal Issue
4
Journal Page Range
p. 045206
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39028567
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGEBRA; DIFFERENTIAL EQUATIONS; HAMILTONIANS; INTEGRAL CALCULUS; LIE GROUPS; NUMERICAL SOLUTION
Descriptors DEC
EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; MATHEMATICS; QUANTUM OPERATORS; SYMMETRY GROUPS