Convergence rate analysis of the first-stage Runge–Kutta-type regularizations

DOI10.1088/0266-5611/26/3/035005zbMath1193.65139OpenAlexW1975269269MaRDI QIDQ3550641

Christine Böckmann, Pornsarp Pornsawad

Publication date: 1 April 2010

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

Full work available at URL: https://doi.org/10.1088/0266-5611/26/3/035005

zbMATH Keywords

interpolationconvergenceregularizationill-posednessMorozov's discrepancy principlemultistepRunge-Kutta and extrapolation methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of ill-posed problems involving ordinary differential equations (65L08)

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