Galerkin method for Wiener-Hopf operators with piecewise continuous symbol
Copyright policy )Galerkin method for Wiener-Hopf operators with piecewise continuous symbol
The Galerkin method is applied to Wiener-Hopf operators with piecewise continuous symbols. For this, an algebra of sequences is introduced, which contains the approximating sequences. The objective of this paper is to study the stability of these sequences using spline Galerkin methods for Wiener-Hopf operators. There is a direct relationship between the stability of the approximation method for the given operator and the invertibility of the corresponding sequence in the introduced algebra. Exploring this relationships stability criteria for the approximation sequences are derived.
- Chemnitz University of Technology Germany
- Instituto Superior de Espinho Portugal
piecewise continuous symbols, approximation sequences, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Numerical methods for integral equations, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), stability, Galerkin method, Wiener-Hopf operators
piecewise continuous symbols, approximation sequences, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Numerical methods for integral equations, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), stability, Galerkin method, Wiener-Hopf operators
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