Stabilized overlapping modular time integration of coupled differential-algebraic equations

DOI10.1016/J.APNUM.2012.06.020zbMath1251.65116OpenAlexW2083712090MaRDI QIDQ450913

Martin Arnold, Tom Schierz

Publication date: 26 September 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2012.06.020

zbMATH Keywords

stabilitynumerical exampleserror boundsdifferential-algebraic equationscoupled systemslinearly implicit stabilizationmodular time integrationstepsize reduction

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability and convergence of numerical methods for ordinary differential equations (65L20) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for differential-algebraic equations (65L80)

Related Items (2)

A Survey on Numerical Methods for the Simulation of Initial Value Problems with sDAEs ⋮ A new approach for force-displacement co-simulation using kinematic coupling constraints

Uses Software

• RODAS

Cites Work

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• One-step and extrapolation methods for differential-algebraic systems
• Two Methods of Simulator Coupling
• Numerical methods for simulation in applied dynamics
• Multi-Rate Time Integration for Large Scale Multibody System Models
• Preconditioned dynamic iteration for coupled differential-algebraic systems
• Multirate partitioned Runge-Kutta methods

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