Optimal adaptive solution of piecewise regular systems of IVPs with unknown switching hypersurface

DOI10.1016/j.amc.2013.11.086zbMath1364.65136OpenAlexW1965693713MaRDI QIDQ529889

Paweł Przybyłowicz, Bolesław Kacewicz

Publication date: 9 June 2017

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.11.086

zbMATH Keywords

optimalityupper and lower boundsinitial-value problemsadaptionlocating singularitiespiecewise regularityunknown switching hypersurface

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (7)

Direct event location techniques based on Adams multistep methods for discontinuous ODEs ⋮ Efficient solution of IVPs with right-hand sides having discontinuities on an unknown hypersurface ⋮ Approximation of piecewise Hölder functions from inexact information ⋮ Complexity of the derivative-free solution of systems of IVPs with unknown singularity hypersurface ⋮ Solving systems of IVPs with discontinuous derivatives-numerical experiments ⋮ Optimal global approximation of SDEs with time-irregular coefficients in asymptotic setting ⋮ Minimal asymptotic error for one-point approximation of SDEs with time-irregular coefficients

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