Convergence and stability of boundary value methods for ordinary differential equations (Q1919061)
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scientific article; zbMATH DE number 908314
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence and stability of boundary value methods for ordinary differential equations |
scientific article; zbMATH DE number 908314 |
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Convergence and stability of boundary value methods for ordinary differential equations (English)
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11 February 1997
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The Cauchy problem \(y' = f(t,y)\), \(y(t_0) = y_0\) is solved by use of linear \(k\)-step multistep formulae in which the values \(y_0, \dots, y_{k_1 - 1}, y_N, \dots, y_{N+k_2 - 1}\), \(k_1 + k_2 = k\) are supposed to be fixed and known. The convergence of this boundary value method is discussed.
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stability
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linear multistep formulae
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convergence
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boundary value method
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