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Optimization in solving elliptic problems

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Author(s): McCormick, Steve; D'yakonov, Eugene G
Publisher: CRC Press
Year: 1996

Language: English
Pages: 591
City: Boca Raton
Tags: Differential equations, Elliptic.

Content: Introduction. General Theory of Numerical Methods for Operator Equations. Projective-Grid Methods for Second-Order Elliptic Equations and Systems. Estimates of Computational Work in Solving Model Grid Systems. Construction of Topologically Equivalent Grids. Asymptotic Minimization of Computational Work in Solving Second-Order Elliptic Equations and Systems. Estimates of Computational Work of Optimal Type for Difference Methods. Minimization of Computational Work for Systems of Stokes and Navier-Stokes Types. Asymptotically Optimal Algorithms for Fourth-Order Elliptic Problems. Effective Algorithms for Spectral Problems. References. Index.