Quadrature based collocation methods for integral equations of the first kind

DOI10.1007/S10444-011-9196-1zbMath1261.65140OpenAlexW2051592683MaRDI QIDQ421380

M. Thamban Nair

Publication date: 23 May 2012

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-011-9196-1

zbMATH Keywords

convergencecollocation methoderror estimatesFredholm integral equationsinverse problemsquadrature ruleTikhonov regularizationregularization methodill-posed problemsNyström approximationminimum norm solutionstable approximation method based on noisy data

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for ill-posed problems for integral equations (65R30) Fredholm integral equations (45B05) Numerical methods for inverse problems for integral equations (65R32) Linear integral equations (45A05)

Related Items (5)

Projected Tikhonov regularization method for Fredholm integral equations of the first kind ⋮ Numerical solution of the two-dimensional first kind Fredholm integral equations using a regularized collocation method ⋮ A COLLOCATION METHOD FOR FREDHOLM INTEGRAL EQUATIONS OF THE FIRST KIND VIA ITERATIVE REGULARIZATION SCHEME ⋮ Recovering the electrical conductivity of the soil via a linear integral model ⋮ Regularization in a functional reproducing kernel Hilbert space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Morozov's discrepancy principle under general source conditions
• Regularized collocation method for Fredholm integral equations of the first kind
• A discrepancy principle for Tikhonov regularization with approximately specified data
• A unified approach for regularised approximation methods for fredholm integralequations of the first kind equations of the first kind
• Optimality for ill-posed problems under general source conditions
• Regularization of exponentially ill-posed problems
• Linear integral equations
• An introduction to the mathematical theory of inverse problems

This page was built for publication: Quadrature based collocation methods for integral equations of the first kind