One-sided direct event location techniques in the numerical solution of discontinuous differential systems

DOI10.1007/s10543-014-0538-5zbMath1338.65181OpenAlexW2048616285MaRDI QIDQ906947

Luciano Lopez, Luca Dieci

Publication date: 1 February 2016

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-014-0538-5

zbMATH Keywords

Runge-Kutta methodsGauss methodnumerical testdiscontinuous systemtime reparametrizationevent manifoldmonotone integration

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Discontinuous ordinary differential equations (34A36)

Related Items (8)

Direct event location techniques based on Adams multistep methods for discontinuous ODEs ⋮ Numerical event location techniques in discontinuous differential algebraic equations ⋮ Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function ⋮ Computational techniques to locate crossing/sliding regions and their sets of attraction in non-smooth dynamical systems ⋮ A mixed MoL-TMoL for the numerical solution of the 2D Richards' equation in layered soils ⋮ Time-transformations for the event location in discontinuous ODEs ⋮ Sliding integration with no projection ⋮ Numerical analysis of the dynamics of rigid blocks subjected to support excitation

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