Revival: Block Method for Solving the Laplace Equation and for Constructing Conformal Mappings (1994)

1st Edition

Evgenii A. Volkov

CRC Press
December 31, 2018 Forthcoming
Reference - 238 Pages
ISBN 9781138557796 - CAT# K43336
Series: CRC Press Revivals

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Summary

This book presents a new, efficient numerical-analytical method for solving the Laplace equation on an arbitrary polygon. This method, called the approximate block method, overcomes indicated difficulties and has qualitatively more rapid convergence than well-known difference and variational-difference methods. The block method also solves the complicated problem of approximate conformal mapping of multiply-connected polygons onto canonical domains with no preliminary information required. The high-precision results of calculations carried out on the computer are presented in an abundance of tables substantiating the exponential convergence of the block method and its strong stability concerning the rounding-off of errors.

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