Block Method for Solving the Laplace Equation and for Constructing - Conformal Mapping

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.

List 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.

About the author

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

Summary

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

Product details

• Authors: Evgenii A Volkov, Evgenii A. Volkov, Evgenii A. (Steklov Mathematical Inst. Volkov
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Paperback / Softback
• Released: 31.01.2019
• EAN: 9781138557796
• ISBN: 978-1-138-55779-6
• No. of pages: 238
• Series: CRC Press Revivals; CRC Press Revivals
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / General, MATHEMATICS / Applied, MATHEMATICS / Differential Equations / General, Differential calculus & equations, Applied mathematics, Differential calculus and equations