The implicit Euler scheme for one-sided Lipschitz differential inclusions

DOI10.3934/dcdsb.2010.14.409zbMath1201.65117OpenAlexW2057312365MaRDI QIDQ1956539

Wolf-Jürgen Beyn, Janosch Rieger

Publication date: 22 September 2010

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2010.14.409

zbMATH Keywords

stabilitynumerical exampledifferential inclusionserror estimatesimplicit Euler methodtheoretical biologyMichelis-Menten model

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) 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 (12)

Discretizations of Linear Elliptic Partial Differential Inclusions ⋮ The Euler scheme for state constrained ordinary differential inclusions ⋮ Localized Solvability of Relaxed One-Sided Lipschitz Inclusions in Hilbert Spaces ⋮ Robust boundary tracking for reachable sets of nonlinear differential inclusions ⋮ Towards optimal space-time discretization for reachable sets of nonlinear control systems ⋮ An implicit function theorem for one-sided Lipschitz mappings ⋮ 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 ⋮ An iterative method for solving relaxed one-sided Lipschitz algebraic inclusions ⋮ Optimization-based subdivision algorithm for reachable sets ⋮ Discrete Filippov-Type Stability for One-Sided Lipschitzian Difference Inclusions ⋮ Approximation of reachable sets using optimal control and support vector machines

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