Simulation of system models containing zero-order causal paths. I.: Classification of zero-order causal paths

DOI10.1016/0016-0032(91)90064-AzbMath0757.65080OpenAlexW2100528937MaRDI QIDQ1179830

S. Singh

Publication date: 27 June 1992

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(91)90064-a

zbMATH Keywords

mechanical systemsindex of nilpotencycomputer simulationelectronic circuitsalgebraic loopsbond graph modelssystems of differential-algebraic equationsessential causal cyclesequential causality assignment procedurezero-order causal paths

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (7)

Simulation of system models containing zero-order causal paths. II: Numerical implications of class 1 zero-order causal paths ⋮ Bond graphs. II: Causality and singularity ⋮ Data-driven reduced bond graph for nonlinear multiphysics dynamic systems ⋮ Bond graph-based simulation of non-linear inverse systems using physical performance specifications ⋮ Using trees to build non-singular bond graphs from electric circuit graphs ⋮ Deriving simulation models from bond graphs with algebraic loops. The extension to multibond graph systems ⋮ Linearization of a class of non-linear systems modelled by multibond graphs

Uses Software

• DASSL

Cites Work

• One-step and extrapolation methods for differential-algebraic systems
• Simulation of system models containing zero-order causal paths. II: Numerical implications of class 1 zero-order causal paths
• Multistep and one-leg methods for implicit mixed differential algebraic systems
• ODE Methods for the Solution of Differential/Algebraic Systems
• Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints I: Convergence Results for Backward Differentiation Formulas
• Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints II: Practical Implications
• Order Results for Implicit Runge–Kutta Methods Applied to Differential/Algebraic Systems
• Differential/Algebraic Equations are not ODE’<scp>s</scp>
• Alternative Bond Graph Causal Patterns and Equation Formulations for Dynamic Systems
• The Method of Relaxed Causality in the Bond Graph Analysis of Nonlinear Systems

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