|
Article information
2001 , Volume 6, ¹ 1, p.88-124
Junghanns P., Roch S., Silbermann B.
Collocation methods for systems of Cauchy singular integral equations on an interval
Necessary and sufficient conditions for the stability of collocation methods with respect to Chebyshev nodes of first and second kind for Cauchy singular integral equations with piecewise continuous coefficients, given on an interval, in the scalar and in the system case are established. Moreover, the behaviour of the singular values of the matrices of the discrete equations is considered.
[full text] Classificator Msc2000:- *45E05 Integral equations with kernels of Cauchy type
- 45F15 Systems of singular linear integral equations
- 45G05 Singular nonlinear integral equations
- 45G15 Systems of nonlinear integral equations
- 65R20 Integral equations
Keywords: Cauchy singular integral equation, nonlinear Cauchy singular integral equations, collocation method, convergence, Chebyshev nodes, systems, stability, C*-algebra
Author(s):
Junghanns P
Office: Technische Universit at Chemnitz Fakult at fur Mathematik
Address: Germany, Berlin
E-mail: peter.junghanns@mathematik.tu-chemnitz.de
Roch St.
Office: Technische Universit at Chemnitz Fakult at fur Mathematik
Address: Germany, Berlin
E-mail: peter.junghanns@mathematik.tu-chemnitz.de
Silbermann B
Office: Technische Universit at Chemnitz Fakult at fur Mathematik
Address: Germany, Berlin
E-mail: peter.junghanns@mathematik.tu-chemnitz.de
Bibliography link:
Junghanns P., Roch S., Silbermann B. Collocation methods for systems of Cauchy singular integral equations on an interval // Computational technologies. 2001. V. 6. ¹ 1. P. 88-124
|
|
|
|
