A Gautschi-type method for oscillatory second-order differential equations (Q1805844)
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scientific article; zbMATH DE number 1355440
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Gautschi-type method for oscillatory second-order differential equations |
scientific article; zbMATH DE number 1355440 |
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A Gautschi-type method for oscillatory second-order differential equations (English)
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7 June 2000
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The authors study a numerical method for second-order differential equations in which high-frequency oscillations are generated by a linear part. The scheme is based on the requirement that it solves linear problems with constant inhomogeneity exactly (Gautschi-type method). It is proved that the method admits second-order error bounds which are independent of the product of the stepsize with the frequencies. Results of numerical experiments with the sine-Gordon equation are included.
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Gautschi-type method
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oscillatory second-order differential equations
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high-frequency oscillations
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error bounds
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numerical experiments
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sine-Gordon equation
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