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.
By:
Evgenii A. Volkov (Steklov Mathematical Inst. Moscow Russia) Imprint: CRC Press Country of Publication: United Kingdom Dimensions:
Height: 234mm,
Width: 156mm,
Weight: 453g ISBN:9781138557796 ISBN 10: 113855779X Series:CRC Press Revivals Pages: 238 Publication Date:25 January 2019 Audience:
Professional and scholarly
,
Undergraduate
Format:Paperback Publisher's Status: Active
Evgenii A. Volkov is a professor at the Steklov Mathematical Institute in Moscow, Russia.