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Mathematics of Computation

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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
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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Article copyright: © Copyright 1979 American Mathematical Society

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