A First-Order Sequential Predictor-Corrector Regularization Method for Ill-Posed Volterra Equations

DOI10.1137/S0036142999362092zbMath0993.65147OpenAlexW2072405990MaRDI QIDQ2706400

Wolfgang Ring

Publication date: 19 March 2001

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

Full work available at URL: https://doi.org/10.1137/s0036142999362092

zbMATH Keywords

convergencenumerical examplesstability estimatesfirst-order approximationBeck's methodill-posed Volterra equationssequential regularizationpredictor-corrector regularization method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for ill-posed problems for integral equations (65R30) Volterra integral equations (45D05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

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Identifying inclusions in a non-uniform thermally conductive plate under external flows and internal heat sources using topological optimization ⋮ Local regularization of linear inverse problems via variational filtering ⋮ On the solution of a class of Volterra integral equations of the first kind ⋮ Identification of thermal conductivity and the shape of an inclusion using the boundary elements method and the particle swarm optimization algorithm ⋮ An improved first order local regularization method for ill-posed Volterra equations

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