Difference methods with selection strategies for differential inclusions

DOI10.1080/01630569308816539zbMath0807.65085OpenAlexW2171764412MaRDI QIDQ4293276

Alois E. Kastner-Maresch, Frank Lempio

Publication date: 28 February 1995

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569308816539

zbMATH Keywords

algorithmsstabilityconvergencedifferential inclusionserror estimatesconsistencynumerical examplesinitial value problemlinear multistep methodsdifference methodsselection strategies

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (13)

Continuous Approximations of a Class of Piecewise Continuous Systems ⋮ Lyapunov exponents of a class of piecewise continuous systems of fractional order ⋮ Numerical approximation of a class of discontinuous systems of fractional order ⋮ Finding attractors of continuous-time systems by parameter switching ⋮ Numerical approximations of a class of switch dynamical systems ⋮ CHAOTIFYING DISCONTINUOUS DYNAMICAL SYSTEMS VIA TIME-DELAY FEEDBACK ALGORITHM ⋮ On the uniqueness of solutions to a class of discontinuous dynamical systems ⋮ Controlling chaos in discontinuous dynamical systems ⋮ Chaotic behavior of a class of discontinuous dynamical systems of fractional-order ⋮ Discrete Filippov-Type Stability for One-Sided Lipschitzian Difference Inclusions ⋮ Synchronization of piecewise continuous systems of fractional order ⋮ SYNCHRONIZATION OF SWITCH DYNAMICAL SYSTEMS ⋮ Study of a unilateral oscillator with friction

Cites Work

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• Error estimates for discretized differential inclusions
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• Differenzenverfahren für Schwingungen mit trockener und zäher Reibung und für Regelungssysteme
• Second order discrete approximations to strongly convex differential inclusions
• Parametrizations of integrals of set-valued mappings and applications
• Approximation of slow solutions to differential inclusions
• On the discrete convergence of multistep methods for differential inclusions
• Second-Order Discrete Approximation to Linear Differential Inclusions
• Difference Methods for Differential Inclusions: A Survey
• Classical Solutions of Differential Equations with Multi-Valued Right-Hand Side

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