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A counterexample of the use of energy as a measure of computational accuracy

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Publication:750096
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DOI10.1016/0021-9991(90)90051-2zbMath0713.65045OpenAlexW2079561410WikidataQ124950536 ScholiaQ124950536MaRDI QIDQ750096

Donald Greenspan

Publication date: 1990

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(90)90051-2


zbMATH Keywords

Newton's methoderror analysiscounterexampleimplicit schemeconservative motionenergy as a measure of computational accuracy


Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Forced motions in linear vibration theory (70J35) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70)





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