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Conservation laws and the numerical solution of ODEs, II

✍ Scribed by L.F Shampine

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
852 KB
Volume
38
Category
Article
ISSN
0898-1221

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✦ Synopsis

Some ODEs have conservation laws, functions of a solution with constant values.

Generally, numerical solutions do not satisfy these laws. This can mean that the numerical solution does not have the right qualitative behavior. The theory and practice of imposing conservation laws by projection is developed here for all the popular numerical methods.

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