High Order Fast Laplace Solvers for the Dirichlet Problem on General Regions (Classic Reprint) - Softcover
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Excerpt from High Order Fast Laplace Solvers for the Dirichlet Problem on General Regions
Numerical experiments, see Pereyra [13] and the last section of this paper, clearly demonstrate the need for higher order accuracy at the irregular mesh points if improved solutions through Richardson extrapolation or deferred correction methods are required. In his 1966 paper, Pereyra also reported on successful numerical experiments with methods based on Lagrange interpolation in one variable and employing only mesh points close to the boundary. At that time no convergence proof was known for such methods.
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High Order Fast Laplace Solvers for the Dirichlet Problem on General Regions
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Paperback. Zustand: New. Print on Demand. This book presents a compelling study of finite difference methods used for the resolution of Laplace's equation. An original convergence proof of hl , not found elsewhere, is given, demonstrating that one of the methods has an accuracy of at least O(h5.5) in L2. The author has developed highly accurate finite difference schemes for Laplace's equation with the Dirichlet boundary condition on general bounded regions in n dimensions. The most accurate of these has an L2 error of order h5.5, which is significant for use in mathematical modeling. The book also includes a detailed treatment of the capacitance matrix method used to solve the linear systems of algebraic equations, making this an indispensable guidebook for readers interested in numerical analysis and the numerical solution of partial differential equations. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781330394533_0
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High Order Fast Laplace Solvers for the Dirichlet Problem on General Regions Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781330394533
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High Order Fast Laplace Solvers for the Dirichlet Problem on General Regions Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781330394533
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