The numerical solution of first kind integral equations

DOI10.1016/0377-0427(89)90023-XzbMath0691.65097OpenAlexW2085905267MaRDI QIDQ582854

W. A. Essah, L. M. Delves

Publication date: 1989

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(89)90023-x

zbMATH Keywords

regularizationFredholm integral equations of the first kindcross validation methodfinite Chebyshev series

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Related Items (3)

Chelyshkov polynomials strategy for solving 2-dimensional nonlinear Volterra integral equations of the first kind ⋮ Unnamed Item ⋮ Unnamed Item

Uses Software

• F1REGU

Cites Work

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• On the optimum choice of weight functions in a class of variational calculations
• Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
• Pitfalls in the Numerical Solution of Linear Ill-Posed Problems
• Further Studies of the Application of Constrained Minimization Methods to Fredholm Integral Equations of the First Kind
• A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
• An Augmented Galerkin Method for First Kind Fredholm Equations
• A Fast Galerkin Algorithm for Singular Integral Equations
• An Efficient Algorithm for Discrete $l_1$ Linear Approximation with Linear Constraints
• Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy
• A Fast Method for the Solution of Fredholm Integral Equations
• An Improved Algorithm for Discrete $l_1 $ Linear Approximation

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