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Conservation laws and the numerical solution of ODEs

✍ Scribed by L.F. Shampine


Book ID
108020197
Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
699 KB
Volume
12
Category
Article
ISSN
0898-1221

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Conservation laws and the numerical solu
✍ L.F Shampine πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 852 KB

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 de

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Previous theoretical (McCartin 1989a) and computational (McCartin 1989b) results on exponential splines are herein applied to provide approximate solutions of high order accuracy to nonlinear hyperbolic conservation laws. The automatic selection of certain "tension" parameters associated with the ex

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## Abstract In the framework of finite volume approximations to the Euler equations of gas dynamics we introduce computationally cheap difference schemes in addition with efficient discrete filter operators correcting discrete values locally. After presentation of a classical discrete filter algori