Efficient solution of IVPs with right-hand sides having discontinuities on an unknown hypersurface

DOI10.1016/J.AMC.2015.05.039zbMath1410.65252OpenAlexW567470582MaRDI QIDQ1664233

Bolesław Kacewicz

Publication date: 24 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.05.039

zbMATH Keywords

initial-value problemsdiscontinuous right-hand side\(\varepsilon\)-complexitydetecting discontinuitiesminimal error of the algorithmunknown discontinuity hypersurface

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Discontinuous ordinary differential equations (34A36)

Cites Work

• Unnamed Item
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• A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side
• Complexity of the derivative-free solution of systems of IVPs with unknown singularity hypersurface
• Optimal adaptive solution of piecewise regular systems of IVPs with unknown switching hypersurface
• On the randomized solution of initial value problems
• Optimal adaptive solution of initial-value problems with unknown singularities
• Numerical solution of discontinuous differential systems: Approaching the discontinuity surface from one side
• The randomized complexity of initial value problems
• Adaption allows efficient integration of functions with unknown singularities
• The power of adaption for approximating functions with singularities
• Uniform Approximation of Piecewise r-Smooth and Globally Continuous Functions

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