Name
Title | ||
|---|---|---|
Analyzing the stability behaviour of solutions and their approximations in case of index-2 differential-algebraic systems |
Abstract | ||
|---|---|---|
When integrating regular ordinary differential equations numerically, one tries to match carefully the dynamics of the numerical algorithm with the dynamical behaviour of the true solution. The present paper deals with linear index-2 differential-algebraic systems. It is shown how knowledge pertaining to (numerical) regular ordinary differential equations applies provided a certain subspace which is closely related to the tangent space of the constraint manifold remains invariant. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1090/S0025-5718-01-01408-9 | Math. Comput. |
Keywords | Field | DocType |
true solution,dynamical behaviour,constraint manifold,certain subspace,regular ordinary differential equation,index-2 differential-algebraic system,present paper deal,regular ordinary differential,stability behaviour,numerical algorithm,tangent space,differential algebraic equations,differential algebra,numerical stability,indexation | Differential equation,Runge–Kutta methods,Ordinary differential equation,Exponential integrator,Mathematical analysis,Invariant subspace,Differential algebraic equation,Mathematics,Numerical stability,Tangent space | Journal |
Volume | Issue | ISSN |
71 | 238 | 0025-5718 |
Citations | PageRank | References |
2 | 0.51 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Roswitha März | 1 | 25 | 10.56 |
| Antonio R. Rodríguez-Santiesteban | 2 | 2 | 0.51 |