Two sided error bounds for discretisation methods in special qth order ordinary differential equations (Q761025)
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scientific article; zbMATH DE number 3887024
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two sided error bounds for discretisation methods in special qth order ordinary differential equations |
scientific article; zbMATH DE number 3887024 |
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Two sided error bounds for discretisation methods in special qth order ordinary differential equations (English)
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1984
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The authors present a unified framework for the convergence analysis of discretization methods for the initial value problem corresponding to the equation: \(y^{(q)}(t)=f(t,y(t))\); in particular for \(q=2\), \(q=4\). The concept of optimal consistency proposed by the authors [BIT 22, 314-330 (1982; Zbl 0496.65036)] is extended for \(q\geq 1\), giving two-sided error bounds.
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convergence analysis
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optimal consistency
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two-sided error bounds
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