The application of Rosenbrock-Wanner type methods with stepsize control in differential-algebraic equations

DOI10.1007/BF01398915zbMath0672.65046MaRDI QIDQ1120257

S. H. Smith

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/133370

zbMATH Keywords

convergenceconsistencynumerical examplesdifferential-algebraic equationsvehicle dynamicschemical kineticsstepsize controlelectric circuit simulationembedded methods of Rosenbrock-Wanner type

Mathematics Subject Classification ID

Deterministic network models in operations research (90B10) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Chemical kinetics in thermodynamics and heat transfer (80A30) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

Half-explicit Runge-Kutta methods for semi-explicit differential- algebraic equations of index 1, The Drazin inverse in multibody system dynamics, On the History of Differential-Algebraic Equations, A Survey on Numerical Methods for the Simulation of Initial Value Problems with sDAEs, Generalized ROW-type methods for solving semi-explicit DAEs of index-1, Rosenbrock schemes with complex coefficients for stiff and differential algebraic systems, Construction of Rosenbrock-Wanner method Rodas5p and numerical benchmarks within the Julia differential equations package, Improvement of Rosenbrock-Wanner Method RODASP, Krylov-ROW methods for DAEs of index 1 with applications to viscoelasticity, A class of linearly-implicit Runge-Kutta methods for multibody systems, An extended descriptor form for the numerical integration of multibody systems, Rosenbrock-Wanner Methods: Construction and Mission, Chebyshev series approximation for solving differential–algebraic equations (DAEs)

Uses Software

• DASSL

Cites Work

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