Semi-Implicit Euler Schemes for Ordinary Differential Inclusions

DOI10.1137/110842727zbMath1296.65098arXiv1308.3641OpenAlexW2012702868MaRDI QIDQ5495215

Janosch Rieger

Publication date: 31 July 2014

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3641

zbMATH Keywords

stabilitynumerical exampleerror analysisinitial value problemnonautonomous differential inclusionssemi-implicit Euler scheme

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (5)

The Euler scheme for state constrained ordinary differential inclusions ⋮ Towards optimal space-time discretization for reachable sets of nonlinear control systems ⋮ Explicit formula for preimages of relaxed one-sided Lipschitz mappings with negative Lipschitz constants: a geometric approach ⋮ Semilinear parabolic differential inclusions with one-sided Lipschitz nonlinearities ⋮ Approximation of reachable sets using optimal control and support vector machines

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