Consistent initialization for DAEs in Hessenberg form

DOI10.1007/s11075-009-9304-1zbMath1192.34013OpenAlexW2092766650MaRDI QIDQ1047174

Diana Estévez Schwarz

Publication date: 4 January 2010

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-009-9304-1

zbMATH Keywords

mechanical systemsdifferential-algebraic equationindexmultibody dynamicsstructural propertiesHessenberg formDAEconsistent initial values

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Hybrid systems of ordinary differential equations (34A38)

Related Items

Projected explicit and implicit Taylor series methods for DAEs, A Projector Based Decoupling of DAEs Obtained from the Derivative Array, DAEs in Circuit Modelling: A Survey

Uses Software

• deTestSet

Cites Work

• Characterizing differential algebraic equations without the use of derivative arrays
• Computation of consistent initial values for properly stated index 3 DAEs
• Automatic integration of Euler-Lagrange equations with constraints
• Consistent initialization for nonlinear index-2 differential--algebraic equation: Large sparse systems in MATLAB
• On Asymptotics in Case of Linear Index-2 Differential-Algebraic Equations
• A step-by-step approach to compute a consistent initialization for the MNA
• The computation of consistent initial values for nonlinear index-2 differential-algebraic equations
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