Superfast method with guaranteed accuracy for elliptic equations in rectangular domain (Q2788902)
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scientific article; zbMATH DE number 6544218
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Superfast method with guaranteed accuracy for elliptic equations in rectangular domain |
scientific article; zbMATH DE number 6544218 |
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22 February 2016
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elliptic equations and systems
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finite difference methods
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iterative methods for linear systems
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ill-posedness, regularization
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mesh generation and refinement
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Superfast method with guaranteed accuracy for elliptic equations in rectangular domain (English)
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The problems of a convergence velocity of iteration methods in solving of mathematical physics equations on the one side and the correctness of solutions on the other are most demanding problems of numerical analysis. Here, an ultra-high-speed iteration method for solution of wide range problems, especially elliptic problems on multiply concentrating grids on a space is proposed. A posteriori asymptotically exact estimates of the inaccuracy of solutions found are obtained.
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0.7492332458496094
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0.7408398985862732
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