Convergence, consistency and stability of step-by-step methods for ordinary differential equations (Q1064022)
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scientific article; zbMATH DE number 3919692
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence, consistency and stability of step-by-step methods for ordinary differential equations |
scientific article; zbMATH DE number 3919692 |
Statements
Convergence, consistency and stability of step-by-step methods for ordinary differential equations (English)
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1985
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Der Verfasser betrachtet verallgemeinerte hybride Mehrschrittverfahren der Gestalt \[ \sum^{m}_{i=1}\sum^{k_ i}_{j=0}a_{ijq}y_{in+j}=h\Phi_ q(x_ n,y_{1n},...,y_{1n+k},...,y_{mn},...,y_{mn+k_ m};h) \] (n\(=0,1,...,N\); \(q=1,2,...,m)\) mit \(y_{n+\nu_ i}=y(a+n+\nu_ i)\), \(\nu_ i\geq 0\). Er beschäftigt sich mit Konsistenz-, Stabilitäts- und Konvergenzbedingungen und bestimmt die Konsistenzordnung.
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convergence
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consistency
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step-by-step methods
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linear multistep methods
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hybrid methods
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pseudo-Runge-Kutta methods
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