An easily implementable fourth-order method for the time integration of wave problems (Q1201696)
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scientific article; zbMATH DE number 98363
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An easily implementable fourth-order method for the time integration of wave problems |
scientific article; zbMATH DE number 98363 |
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An easily implementable fourth-order method for the time integration of wave problems (English)
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17 January 1993
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The authors construct a 4th-order three stage difference scheme for ordinary differential equations by composing three implicit second order midpoint schemes. This method can also be applied to partial differential equations. The constructed scheme is not \(A\)-stable as the authors point out. However its instability region is just a very little ``circle'' about - 1.18 on the real axis. Detailed results can be found in the paper [Comput. Math. Appl. 25, 35-44 (1993)].
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symplectic scheme
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KdV equation
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wave equations
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numerical experiments
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Korteweg-de Vries equation
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method of lines
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numerical stability
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stability regions
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4th-order three stage difference scheme
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implicit second order midpoint schemes
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