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

1. Auflage 2017
ISBN: 978-1-138-10496-9
Verlag: Taylor & Francis Ltd

Buch, Englisch, 240 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 454 g

Reihe: CRC Press Revivals

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.

Zielgruppe

Professional

Autoren/Hrsg.

Volkov, Evgenii A.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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.

Über Autor(innen)

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