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

Evgenii A. Volkov (Autor)

Buch | Hardcover

240 Seiten

2017
CRC Press (Verlag)
978-1-138-10496-9 (ISBN)

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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.

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

Erscheinungsdatum	05.10.2017
Reihe/Serie	CRC Press Revivals
Zusatzinfo	25 Tables, black and white
Verlagsort	London
Sprache	englisch
Maße	156 x 234 mm
Gewicht	453 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-10	1-138-10496-5 / 1138104965
ISBN-13	978-1-138-10496-9 / 9781138104969
Zustand	Neuware