Development of CFL-free, explicit schemes for multidimensional advection-reaction equations (Q2780586)
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scientific article; zbMATH DE number 1729198
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Development of CFL-free, explicit schemes for multidimensional advection-reaction equations |
scientific article; zbMATH DE number 1729198 |
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15 April 2002
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advection-reaction equations
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characteristic methods
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explicit methods
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multilevel methods
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multiresolution analysis
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unconditional stability
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wavelet decompositions
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numerical examples
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Development of CFL-free, explicit schemes for multidimensional advection-reaction equations (English)
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An Eulerian-Lagrangian approach and multiresolution analysis is combined to develop unconditionally stable, explicit, multilevel methods for multidimensional linear hyperbolic equations. The derived schemes generate accurate numerical solutions even if large time steps are used. Furthermore, these schemes have the capability of carrying out adaptive compression without introduction of mass balance error.NEWLINENEWLINENEWLINEComputational results are presented to show the strong potential of the developed numerical methods.
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