Convergence of continuous approximations for discontinuous ODEs

DOI10.1016/j.apnum.2012.06.021zbMath1267.65096OpenAlexW1996844701MaRDI QIDQ450914

J. Herrera, D. Rodríguez-Gómez

Publication date: 26 September 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2012.06.021

zbMATH Keywords

convergencenumerical examplesregularisationFilippov solutiondiscontinuous ODE

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Cites Work

• Convergence of a time-stepping scheme for rigid-body dynamics and resolution of Painlevé's problem
• Structurally stable discontinuous vector fields in the plane.
• Optimal control of systems with discontinuous differential equations
• A Numerical Scheme for Impact Problems II: The Multidimensional Case
• Rigid-Body Dynamics with Friction and Impact
• Differential equations with discontinuous right-hand side
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