Application of the generalized method of Lie-algebraic discrete approximations to the solution of the Cauchy problem with the advection equation (Q891699)
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scientific article; zbMATH DE number 6509865
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Application of the generalized method of Lie-algebraic discrete approximations to the solution of the Cauchy problem with the advection equation |
scientific article; zbMATH DE number 6509865 |
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Application of the generalized method of Lie-algebraic discrete approximations to the solution of the Cauchy problem with the advection equation (English)
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17 November 2015
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The authors are concerned with numerical approximation of the 1D Cauchy problem with advection. The approach relies on Lie-algebraic discrete approximations. To this aim, the discretized problem is reduced to a system of algebraic equations which ensures a factorial convergence in all variables.
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Lie-algebraic discrete approximations
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approximation scheme
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discretization
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advection equation
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factorial convergence
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Cauchy problem
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