Spline approximation of a non-linear Riemann–Hilbert problem†

DOI10.1080/00036810802429019zbMath1163.41001OpenAlexW1996035785MaRDI QIDQ3543526

Sanda Micula, Wolfgang L. Wendland

Publication date: 4 December 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802429019

zbMATH Keywords

spline approximationhomotopynonlinear singular integral equationNemytski operatorfac\-to\-ri\-za\-ti\-onNewton continuityquasi-ruled Fredholm operatorsŜnirel'man's degree of mappingsolvability and convergence of non-linear collocation method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Nonlinear boundary value problems for linear elliptic equations (35J65) Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11) Boundary value problems in the complex plane (30E25) Spline approximation (41A15) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (1)

Singular integral equations of convolution type with Cauchy kernel in the class of exponentially increasing functions

Cites Work

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• Nonlinear Riemann-Hilbert Problems with Unbounded Restriction Curves
• Nonlinear Riemann—Hilbert problems with Lipschitz continuous boundary condition
• Nonlinear Riemann–Hilbert problems with Lipschitz–continuous boundary data: doubly connected domains
• Nonlinear Riemann-Hilbert problems for multiply connected domains
• THE DEGREE OF A QUASI-RULED MAPPING AND A NONLINEAR HILBERT PROBLEM
• The Numerical Evaluation of the Cauchy Transform on Simple Closed Curves

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