Runge-Kutta methods for orthogonal and isospectral flows (Q5961738)
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scientific article; zbMATH DE number 982632
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Runge-Kutta methods for orthogonal and isospectral flows |
scientific article; zbMATH DE number 982632 |
Statements
Runge-Kutta methods for orthogonal and isospectral flows (English)
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21 April 1997
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orthogonal and isospectral flows
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Runge-Kutta method
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orthogonality
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symmetry
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invariants
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The authors consider the system: NEWLINE\[NEWLINEY'= G(t,Y),\;t>0,\;Y(0)=Y_0NEWLINE\]NEWLINE where \(Y\), \(Y_0\) are \(d\)-dimensional real matrices. In many application systems of these type preserving orthogonality, symmetry or spectral properties of the initial matrix play an important role. When directly applying Runge-Kutta procedures such invariants may get lost. In this paper the authors describe how to retain at least approximately the relevant invariants.
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