Galerkin–Petrov Methods for Bergman Space Toeplitz Operators

DOI10.1137/0730043zbMath0779.65036OpenAlexW1999754321MaRDI QIDQ4202400

Hartmut Wolf, Albrecht Böttcher

Publication date: 9 January 1994

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0730043

zbMATH Keywords

convergenceBergman spaceToeplitz operatorspolynomial collocationGalerkin-Petrov methodsanalytic element collocation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Kernel functions in one complex variable and applications (30C40)

Related Items (2)

Polynomial collocation over massive sets for Toeplitz integral equations on the Bergman space ⋮ The convergence of Galerkin-Petrov methods for Dirichlet projections

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