A theoretical framework for backward error analysis on manifolds (Q542594)
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scientific article; zbMATH DE number 5906868
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A theoretical framework for backward error analysis on manifolds |
scientific article; zbMATH DE number 5906868 |
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A theoretical framework for backward error analysis on manifolds (English)
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10 June 2011
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The paper proposes a new framework for backward error analysis on manifolds. The author extends the previously known ``exponentially close'' estimates to smooth manifolds and provides an abstract theory for classification of numerical integrators in terms of their geometrical properties. The paper also proposes a general theory for proving theorems of type ``symplectic integrators generate symplectic perturbed vector fields'' on manifolds.
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backward error analysis
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difffeomorphism groups
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infinite-dimensional manifolds
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Lie groups
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symplectic integrators
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vector fields
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