On the solution of discontinuous IVPs by adaptive Runge--Kutta codes

DOI10.1023/A:1025507920426zbMath1030.65082OpenAlexW1614040251MaRDI QIDQ1410461

Manuel Calvo, Luis Rández, Juan I. Montijano

Publication date: 14 October 2003

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025507920426

zbMATH Keywords

algorithmsnumerical experimentsdiscontinuous initial value problemsadaptive Runge-Kutta methodsdetection of discontinuities

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (4)

Computational techniques to locate crossing/sliding regions and their sets of attraction in non-smooth dynamical systems ⋮ One-sided direct event location techniques in the numerical solution of discontinuous differential systems ⋮ A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side ⋮ Time-transformations for the event location in discontinuous ODEs

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