Analyzing the stability behaviour of solutions and their approximations in case of index-2 differential-algebraic systems

Mathematics of Computation

Volumn 71, Issue 238, 2002, Pages 605-632

  Márz, Roswitha ^a   Rodríguez Santiesteban, Antonio R ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

Author keywords

Contractivity; Differential algebraic equations; Logarithmic norms; Numerical stability

Indexed keywords

EID: 0036013531     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-01-01408-9     Document Type: Article

References (13)

1. Numerical methods for differential-algebraic equations
2. Differential-algebraic equations and their numerical treatment
3. On the asymptotics in the case of differential-algebraic equations
4. On asymptotics in case of linear index-2 differential-algebraic equations
5. Structural analysis for electric circuits and consequences for MNA
6. Index-2 differential-algebraic equations
7. Stability of Runge-Kutta methods for stiff nonlinear differential equations
8. Logarithmic norms for matrix pencils
9. Order results for implicit Runge-Kutta methods applied to differential-algebraic systems
10. Projected implicit Runge-Kutta methods for differential-algebraic equations