Iterative Runge–Kutta-type methods for nonlinear ill-posed problems

DOI10.1088/0266-5611/24/2/025002zbMath1151.35097OpenAlexW2015794898MaRDI QIDQ5458994

Pornsarp Pornsawad, Christine Böckmann

Publication date: 24 April 2008

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

Full work available at URL: https://doi.org/10.1088/0266-5611/24/2/025002

zbMATH Keywords

convergenceRunge-Kutta methodill-posed problemsregularization methods

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (8)

An asymptotical regularization with convex constraints for inverse problems ⋮ The Levenberg-Marquardt regularization for the backward heat equation with fractional derivative ⋮ On the asymptotical regularization with convex constraints for nonlinear ill-posed problems ⋮ Modified Iterative Runge-Kutta-Type Methods for Nonlinear Ill-Posed Problems ⋮ Logarithmic convergence rate of Levenberg–Marquardt method with application to an inverse potential problem ⋮ Regularization of nonlinear ill-posed problems by exponential integrators ⋮ Runge-Kutta type regularization method for inversion of spheroidal particle distribution from limited optical data ⋮ Nonlinear implicit iterative method for solving nonlinear ill-posed problems

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