Regularization for Curve Representations: Uniform Convergence for Discontinuous Solutions of Ill-Posed Problems

DOI10.1137/S0036139997321451zbMath0916.65128OpenAlexW1991786802MaRDI QIDQ4210070

Andreas Neubauer, Otmar Scherzer

Publication date: 20 September 1998

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139997321451

zbMATH Keywords

ill-posed problemsminimum-norm solutionnonlinear Tikhonov regularizationlinear first kind integral equation

Mathematics Subject Classification ID

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

Related Items (6)

Solution of Ill-Posed Problems via Adaptive Grid Regularization: Convergence Analysis ⋮ Computation of discontinuous solutions of 2D linear ill-posed integral equations via adaptive grid regularization ⋮ REGULARIZATION FOR SURFACE REPRESENTATIONS OF DISCONTINUOUS SOLUTIONS OF LINEAR ILL-POSED PROBLEMS ⋮ LOCAL REGULARIZATION METHODS FOR THE STABILIZATION OF LINEAR ILL-POSED EQUATIONS OF VOLTERRA TYPE ⋮ Robust constrained receding-horizon predictive control via bounded data uncertainties ⋮ Estimation of discontinuous solutions of ill-posed problems via adaptive grid regularization

This page was built for publication: Regularization for Curve Representations: Uniform Convergence for Discontinuous Solutions of Ill-Posed Problems