Block Method for Solving the Laplace Equation and for Constructing Conformal Mappings
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A01=Evgenii A. Volkov
Age Group_Uncategorized
Age Group_Uncategorized
Angular Step
Approximate Solution
arbitrary polygon
Author_Evgenii A. Volkov
automatic-update
Basic Blocks
Block Method
Boundary T1
boundary value problems
Carrier Function
Category1=Non-Fiction
Category=PBKJ
Category=PBW
Cauchy Riemann Conditions
computational mathematics
Conformal Invariant
Conformal Mapping
Conjugate Harmonic Function
COP=United Kingdom
Curvilinear Part
Delivery_Pre-order
Dirichlet's Problem
Dirichlet’s Problem
Domain Ii
eq_isMigrated=2
eq_nobargain
exponential convergence
Extended Block
high-precision conformal mapping algorithms
Imaginary Axis
Language_English
Laplace equation
Line Segment AC
Linear Algebraic Equations
Mathamatics
Neumann's Problem
Neumann’s Problem
numerical analysis methods
numerical-analytical method
PA=Temporarily unavailable
Point Z0
Points Pk
polygonal domains
Polygonal Line
Price_€100 and above
PS=Active
softlaunch
Subdomain Ii0
Termwise Differentiation
Uniquely Solvable
variational techniques
variational-difference methods
Product details
- ISBN 9781138104969
- Weight: 453g
- Dimensions: 156 x 234mm
- Publication Date: 13 Jul 2017
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
- Language: English
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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.
