Runge–Kutta integrators yield optimal regularization schemes

DOI10.1088/0266-5611/21/2/003zbMath1075.65078OpenAlexW1975373795WikidataQ60707583 ScholiaQ60707583MaRDI QIDQ4682060

Andreas Rieder

Publication date: 9 June 2005

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/21/2/003

zbMATH Keywords

convergenceevolution equationnumerical examplesHilbert spaceTikhonov regularizationlinear ill-posed problemsimplicit Euler schemeorder optimalityasymptotic regularizationRunge-Kutta integratorsShowalter's method

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

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