Two-sided bounds on the difference \(R(t)=\Phi(t)-\Psi(t)\) between the continuous and discrete evolution operators as well as on \(R(t)x_0=\Phi(t)x_0-\Psi(t)x_0\) (Q2848111)
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scientific article; zbMATH DE number 6211503
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two-sided bounds on the difference \(R(t)=\Phi(t)-\Psi(t)\) between the continuous and discrete evolution operators as well as on \(R(t)x_0=\Phi(t)x_0-\Psi(t)x_0\) |
scientific article; zbMATH DE number 6211503 |
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25 September 2013
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linear systems of ordinary differential equations
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initial value problem
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discrete approximation
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condition number
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Two-sided bounds on the difference \(R(t)=\Phi(t)-\Psi(t)\) between the continuous and discrete evolution operators as well as on \(R(t)x_0=\Phi(t)x_0-\Psi(t)x_0\) (English)
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The author studies the error estimate for solutions of linear systems of ordinary differential equations of constant coefficients and their discrete appoximations using constant steps. Upper bounds have been given by the author in an earlier paper, and lower bounds are obtained in this paper.NEWLINENEWLINEFor the entire collection see [Zbl 1141.76003].
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