Improving the accuracy of the charge simulation method for numerical conformal mapping
type: Item
instance of: scholarly article
title: Improving the accuracy of the charge simulation method for numerical conformal mapping
zbMATH Open document ID: 1426.65038
DOI: 10.1155/2017/3603965
author: F. M. Lai
author: Yingzi Wang
author: Yibin Lu
author: Ji'an Wang
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: In this paper, we present a method to improve the accuracy of the charge simulation method for numerical conformal mapping. The method constructs the constraint equation by using the charge simulation method. The charges and the conformal radius are computed by using the Runge-Kutta method based on the dynamic system of the constraint equation. By using this method, we can obtain new approximated conformal mapping function and improve the accuracy of numerical conformal mapping compared to the charge simulation method for numerical conformal mapping proposed by Amano. Furthermore, the corresponding numerical results are shown to illustrate the performance of the proposed method.
Mathematics Subject Classification ID: 65E05
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 30C30
zbMATH DE Number: 6972006
Wikidata QID: Q59147491
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/3603965
OpenAlex ID: W2583875732
cites work: Q3699980
cites work: Q4820389
cites work: An integral equation method in conformal mapping
cites work: Conformal mapping of doubly-connected domains
cites work: Exact boundary derivative formulation for numerical conformal mapping method
cites work: Linear integral equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits
cites work: Annulus with circular slit map of bounded multiply connected regions via integral equation method
cites work: Numerical Conformal Mapping via a Boundary Integral Equation with the Generalized Neumann Kernel
cites work: Numerical conformal mapping of multiply connected regions onto the fifth category of Koebe's canonical slit regions
cites work: Symmetric decomposition of a positive definite matrix
cites work: New iterative improvement of a solution for an ill-conditioned system of linear equations based on a linear dynamic system.
cites work: A charge simulation method for the numerical conformal mapping of interior, exterior and doubly-connected domains
cites work: Numerical conformal mappings onto the linear slit domain
cites work: Conjugate function method for numerical conformal mappings
cites work: Wilkinson's iterative refinement of solution with automatic step-size control for linear system of equations
cites work: Implicit two-derivative Runge-Kutta collocation methods for systems of initial value problems
cites work: Construction of Runge-Kutta type methods for solving ordinary differential equations
cites work: Convergence and stability of boundary value methods for ordinary differential equations
cites work: Convergence of Runge-Kutta methods for delay differential equations
cites work: Q4221109
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description: scientific article; zbMATH DE number 6972006