Optimal solution of a class of non-autonomous initial-value problems with unknown singularities

DOI10.1016/j.cam.2013.11.017zbMath1278.65100OpenAlexW2037693252MaRDI QIDQ390489

Bolesław Kacewicz, Paweł Przybyłowicz

Publication date: 8 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.cam.2013.11.017

zbMATH Keywords

singularitiesoptimalityupper and lower boundsinitial-value problemsadaption

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items

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 ⋮ Time-transformations for the event location in discontinuous ODEs ⋮ Optimal adaptive solution of piecewise regular systems of IVPs with unknown switching hypersurface ⋮ A note on attractivity for the intersection of two discontinuity manifolds

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