A simplified Galerkin method for hyperbolic equations

Authors:
R. C. Y. Chin, G. W. Hedstrom and K. E. Karlsson

Journal:
Math. Comp. **33** (1979), 647-658

MSC:
Primary 65M10; Secondary 65N30

DOI:
https://doi.org/10.1090/S0025-5718-1979-0521280-5

MathSciNet review:
521280

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Abstract: We modify a Galerkin method for nonlinear hyperbolic equations so that it becomes a simpler method of lines, which may be viewed as a collocation method. The high order of accuracy is preserved. We present a linear wave analysis of the scheme and discuss some aspects of nonlinear problems. Our numerical experiments indicate that the addition of a proper artificial viscosity makes the method competitive and the common difference schemes, even when the solution has discontinuities.

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DOI:
https://doi.org/10.1090/S0025-5718-1979-0521280-5

Article copyright:
© Copyright 1979
American Mathematical Society