Exactly conservative integrators

Technical Report · Wed Jul 19 00:00:00 EDT 1995

DOI:https://doi.org/10.2172/90106· OSTI ID:90106

Shadwick, B A; Bowman, J C; Morrison, P J

Traditional numerical discretizations of conservative systems generically yield an artificial secular drift of any nonlinear invariants. In this work we present an explicit nontraditional algorithm that exactly conserves invariants. We illustrate the general method by applying it to the Three-Wave truncation of the Euler equations, the Volterra-Lotka predator-prey model, and the Kepler problem. We discuss our method in the context of symplectic (phase space conserving) integration methods as well as nonsymplectic conservative methods. We comment on the application of our method to general conservative systems.

• Research Organization: Univ. of Texas, Austin, TX (United States). Institute for Fusion Studies
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: FG05-80ET53088
• OSTI ID: 90106
• Report Number(s): DOE/ET/53088-689; ON: DE95015448
• Resource Relation: Other Information: PBD: 19 Jul 1995
• Country of Publication: United States
• Language: English

Related Subjects

99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
ALGORITHMS
ERRORS
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
ROTATION
PREDATOR-PREY INTERACTIONS
TWO-BODY PROBLEM
INVARIANCE PRINCIPLES