Estimating the global error in the Störmer method (Q1858997)
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scientific article; zbMATH DE number 1869263
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimating the global error in the Störmer method |
scientific article; zbMATH DE number 1869263 |
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Estimating the global error in the Störmer method (English)
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17 February 2003
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For the initial value problem \[ y''=f(x,y), \quad 0\leq x\leq X_0, \quad y(0)=y_0, \quad y'(0)=y'_0 \] the author considers Störmer's method of its numerical solution, and proposes an estimation of the goal error. In contradiction to the coordinate-wise estimation, this method does not lead to the exponential estimation growth (''Moore's effect'') when \(x\) increases.
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Moore's effect
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Störmer's method
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error bound
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initial value problem
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