Error Analysis and Error Estimates for Co-simulation in FMI for Model Exchange and Co-Simulation v2.0

DOI10.1007/978-3-662-44926-4_6zbMath1319.65074OpenAlexW4245517036MaRDI QIDQ5265204

Tom Schierz, Martin Arnold, Christoph Clauss

Publication date: 23 July 2015

Published in: Differential-Algebraic Equations Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-662-44926-4_6

zbMATH Keywords

convergencestabilizationnumerical exampleserror estimationstep size controlalgebraic loopsco-simulationmodular time integrationnonlinear system dynamicsfunctional mock-up interfacemodel exchange

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) 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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (8)

A Survey on Numerical Methods for the Simulation of Initial Value Problems with sDAEs ⋮ Energy-based monitoring and correction to enhance the accuracy and stability of explicit co-simulation ⋮ Analysis of the model-based corrector approach for explicit cosimulation ⋮ Co-simulation with variable approximation order: order control algorithm for solver coupling approaches ⋮ Convergence of explicitly coupled simulation tools (co-simulations) ⋮ Implicit co-simulation method for constraint coupling with improved stability behavior ⋮ Explicit parallel co-simulation approach: analysis and improved coupling method based on H-infinity synthesis ⋮ FMI

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