IDeC-convergence independent of error asymptotics (Q1097652)
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scientific article; zbMATH DE number 4035041
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | IDeC-convergence independent of error asymptotics |
scientific article; zbMATH DE number 4035041 |
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IDeC-convergence independent of error asymptotics (English)
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1987
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The method of iterated defect correction [cf. \textit{R. Frank}, Numer. Math. 25, 409-419 (1976; Zbl 0346.65034) and ibid. 27, 407-420 (1977; Zbl 0366.65034)] is applied to the boundary value problem \(y''(t)=f(t,y(t))\) \(t\in (0,1)\), \(y(0)=A\), \(y(1)=B\), where \(\partial /\partial yf(t,y)\geq 0\), and analyzed for efficient and highly accurate numerical solutions.
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stability
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collocation method
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method of iterated defect correction
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