On preserving dissipativity properties of linear complementarity dynamical systems with the \(\theta\)-method

DOI10.1007/s00211-013-0553-5zbMath1305.65178OpenAlexW2099815843WikidataQ59706102 ScholiaQ59706102MaRDI QIDQ2435054

Bernard Brogliato, Scott Greenhalgh, Vincent Acary

Publication date: 3 February 2014

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-013-0553-5

zbMATH Keywords

consistencynumerical examplesdissipativitypassivityinitial value problemdifferential algebraic equationsone-step method\(\theta\)-methodelectric circuitslinear dynamical systemcomplementarity problemjump condition

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for initial value problems involving ordinary differential equations (65L05) Discontinuous ordinary differential equations (34A36) Numerical methods for differential-algebraic equations (65L80) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Implicit Euler simulation of one-dimensional Burridge-Knopoff model of earthquakes with set-valued friction laws, A Parallel Iterative Algorithm for Differential Linear Complementarity Problems, On preserving dissipativity properties of linear complementarity dynamical systems with the \(\theta\)-method, A Gauss--Seidel Type Method for Dynamic Nonlinear Complementarity Problems, Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability

Uses Software

• Siconos

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