Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/de-gruyter/a-nonlinear-integral-equation-for-numerical-conformal-mapping-QhfQamiOEl
References (18)
-
M. Gutknecht (1983)
Numerical Experiments on Solving Theodorsen's Integral Equation for Conformal Maps with the Fast Fourier Transform and Various Nonlinear Iterative MethodsSiam Journal on Scientific and Statistical Computing, 4
-
M. Gutknecht (1986)
Numerical conformal mapping methods based on function conjugationJournal of Computational and Applied Mathematics, 14
-
E. Scheiber (1999)
The numerical solution of Theodorsen integral equationComputers & Mathematics With Applications, 38
-
R. Wegmann (2005)
Chapter 9 – Methods for Numerical Conformal Mapping, 2
-
R. Wegmann, M. Nasser (2008)
The Riemann-Hilbert problem and the generalized Neumann kernel on multiply connected regionsJournal of Computational and Applied Mathematics, 214
-
Arnold Krommer, C. Ueberhuber (1994)
Numerical Integration on Advanced Computer Systems, 848
-
R. Kress (1990)
A Nyström method for boundary integral equations in domains with cornersNumerische Mathematik, 58
-
M. Nasser, A. Murid, Z. Zamzamir (2008)
A boundary integral method for the Riemann–Hilbert problem in domains with cornersComplex Variables and Elliptic Equations, 53
-
K. Atkinson (1997)
The Numerical Solution of Integral Equations of the Second Kind: Index -
A. Murid (2003)
Eigenproblem of the Generalized Neumann Kernel -
P. Henrici (1988)
Applied and Computational Complex Analysis -
R. Kress (1989)
Linear Integral Equations -
R. Wegmann, A. Murid, M. Nasser (2005)
The Riemann-Hilbert problem and the generalized Neumann kernelJournal of Computational and Applied Mathematics, 182
-
D. Gaier (1964)
Konstruktive Methoden der konformen AbbildungMathematics of Computation, 19
-
O. Hüner (1986)
The Newton method for solving the Theodorsen integral equationJournal of Computational and Applied Mathematics, 14
-
M. Gutknecht (1981)
Solving Theodorsen's integral equation for conformal maps with the fast fourier transform and various nonlinear iterative methodsNumerische Mathematik, 36
-
M. Nasser (2009)
A Boundary Integral Equation for Conformal Mapping of Bounded Multiply Connected RegionsComputational Methods and Function Theory, 9
-
P. Kythe (1998)
Computational Conformal Mapping
- Publisher
- de Gruyter
- Copyright
- Copyright © 2010 by the
- ISSN
- 1867-1152
- eISSN
- 1869-6090
- DOI
- 10.1515/apam.2010.005
- Publisher site
- See Article on Publisher Site
Abstract
Abstract In this paper we derive and study a nonlinear boundary integral equation for calculating the boundary value of the conformal mapping from a starlike simply connected region G onto another starlike simply connected region Ω. The integral equation can be interpreted as a generalization of the classical Theodorsen integral equation. Numerical results are presented to illustrate the performance of the proposed method.
Journal
Advances in Pure and Applied Mathematics – de Gruyter
Published: Mar 1, 2010