Monotonicity conditions for factorized difference scheme for an evolution equation with two space variables (Q2773660)
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scientific article; zbMATH DE number 1710280
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monotonicity conditions for factorized difference scheme for an evolution equation with two space variables |
scientific article; zbMATH DE number 1710280 |
Statements
24 February 2002
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factorized difference scheme
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mass transfer
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evolution equation
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sufficient conditions for monotonicity
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necessary conditions for monotonicity
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heat transfer
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0.8848394
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0.8787005
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0.8748051
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0.8723518
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0.8681736
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0.86775506
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Monotonicity conditions for factorized difference scheme for an evolution equation with two space variables (English)
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For a class of difference schemes, the author derives sufficient conditions for monotonicity in terms of restrictions on time step. Necessary and sufficient conditions for monotonicity are obtained for problems with a small number of partitions. Finally, advantages of monotone schemes over non-monotone schemes are shown via computer experiments.
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