A priori step size adaptation for the simulation of non-smooth systems

DOI10.1002/cnm.884zbMath1111.65069OpenAlexW1983587603MaRDI QIDQ3427414

R. U. Pfau

Publication date: 20 March 2007

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.884

zbMATH Keywords

numerical examplesstep size controlsystems with discontinuities, jumps, discrete variables, slip-stick-changes

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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Cites Work

• Order and stepsize control in extrapolation methods
• A semi-implicit mid-point rule for stiff systems of ordinary differential equations
• Adaptive time-stepping and computational stability