The computation of consistent initial values for nonlinear index-2 differential-algebraic equations

DOI10.1023/A:1016696413810zbMath0973.65065MaRDI QIDQ5934367

Diana Estévez Schwarz, René Lamour

Publication date: 19 June 2001

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

zbMATH Keywords

numerical examplescircuit simulationconsistent initial valuedifferential algebraic equationmodified nodal analysistractability index

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) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for differential-algebraic equations (65L80)

Related Items

A new approach for computing consistent initial values and Taylor coefficients for DAEs using projector-based constrained optimization ⋮ A step-by-step approach to compute a consistent initialization for the MNA ⋮ Diagnosis of singular points of properly stated DAEs using automatic differentiation ⋮ Index characterization of differential-algebraic equations in hybrid analysis for circuit simulation ⋮ DAEs in Circuit Modelling: A Survey ⋮ The properties of differential-algebraic equations representing optimal control problems ⋮ Boundary-Value Problems for Differential-Algebraic Equations: A Survey ⋮ Computation of consistent initial values for properly stated index 3 DAEs ⋮ Consistent initialization for DAEs in Hessenberg form ⋮ Mathematical Modeling and Analysis of Nonlinear Time-Invariant RLC Circuits ⋮ Index determination and calculation of consistent initial values for DAEs