The implicit midpoint rule applied to discontinuous differential equations

DOI10.1007/BF02238649zbMath0769.65042OpenAlexW55219091MaRDI QIDQ1195793

Alois E. Kastner-Maresch

Publication date: 13 January 1993

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238649

zbMATH Keywords

algorithmnumerical testsinitial value problemsorder of convergencestiff systemdiscontinuous differential equationsimplicit midpoint rulecovergencemechanical system with forced vibrationsset-valued right-hand sides

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Ordinary differential inclusions (34A60) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multiple scale methods for ordinary differential equations (34E13)

Related Items

Modified semi-implicit midpoint rule for nonexpansive mappings, Continuous Approximations of a Class of Piecewise Continuous Systems, A Generalized Nonlinear Iterative Algorithm for the Explicit Midpoint Rule of Nonexpansive Semigroup, General viscosity implicit midpoint rule for nonexpansive mapping, On new Picard-Mann iterative approximations with mixed errors for implicit midpoint rule and applications, New semi-implicit midpoint rule for zero of monotone mappings in Banach spaces, A Filippov approximation theorem for strengthened one-sided Lipschitz differential inclusions, On Numerical Integration of Discontinuous Dynamical Systems, The implicit midpoint rule applied to discontinuous differential equations, APPROXIMATION OF LOWER SEMICONTINUOUS DIFFERENTIAL INCLUSIONS, Discrete Filippov-Type Stability for One-Sided Lipschitzian Difference Inclusions, The implicit midpoint procedures for asymptotically nonexpansive mappings, Unnamed Item, A new viscosity semi-implicit midpoint rule for strict pseudo-contractions and (α, β)-generalized hybrid mappings

Uses Software

• NLPQL

Cites Work

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