Block Method for Solving the Laplace Equation and for Constructing Conformal Mappings

by Evgenii A. Volkov

Overview

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.

Product Details

ISBN-13:	9781138104969
Publisher:	Taylor & Francis
Publication date:	07/13/2017
Series:	CRC Press Revivals
Pages:	238
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

Evgenii A. Volkov is a professor at the Steklov Mathematical Institute in Moscow, Russia.

Table of Contents

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.