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Conservation properties of numerical integration methods for systems of ordinary differential equationsIf a system of ordinary differential equations represents a property conserving system that can be expressed linearly (e.g., conservation of mass), it is then desirable that the numerical integration method used conserve the same quantity. It is shown that both linear multistep methods and Runge-Kutta methods are 'conservative' and that Newton-type methods used to solve the implicit equations preserve the inherent conservation of the numerical method. It is further shown that a method used by several authors is not conservative.
Document ID
19760045494
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Rosenbaum, J. S.
(NASA Langley Research Center Hampton, Va., United States)
Date Acquired
August 8, 2013
Publication Date
March 1, 1976
Publication Information
Publication: Journal of Computational Physics
Volume: 20
Subject Category
Numerical Analysis
Accession Number
76A28460
Funding Number(s)
CONTRACT_GRANT: NGR-47-102-001
Distribution Limits
Public
Copyright
Other

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