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

By: (Author) Evgenii A. Volkov

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Ksh 34,200.00

Format: Hardback or Cased Book

ISBN-10: 1138104965

ISBN-13: 9781138104969

Series: CRC Press Revivals

Publisher: Taylor & Francis Ltd

Imprint: CRC Press

Country of Manufacture: GB

Country of Publication: GB

Publication Date: Jul 13th, 2017

Print length: 238 Pages

Weight: 453 grams

Product Classification: Differential calculus & equations
Applied mathematics

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This book presents a new, efficient numerical-analytical method for solving the Laplace equation on an arbitrary polygon.
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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