Boundary value methods for second-order PDEs via the Lanczos-Chebyshev reduction technique (Q1992916)
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scientific article; zbMATH DE number 6972270
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| English | Boundary value methods for second-order PDEs via the Lanczos-Chebyshev reduction technique |
scientific article; zbMATH DE number 6972270 |
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Boundary value methods for second-order PDEs via the Lanczos-Chebyshev reduction technique (English)
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5 November 2018
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Summary: In this paper, we study the performance of Boundary Value Methods (BVMs) on second-order PDEs. The PDEs are transformed into a system of second-order ordinary differential equations (ODEs) using the Lanczos-Chebyshev reduction technique. The conditions under which the BVMs converge and the computational complexities of the algorithms are discussed. Numerical illustrations are given to show the simplicity and high accuracy of the approach.
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