Name
Abstract | ||
|---|---|---|
We discuss the use of the formal theory of differential equations in the numerical analysis of general systems of partial differential equations. This theory provides us with a very powerful and natural framework for generalising many ideas from differential algebraic equations to partial differential equations. We study in particular the existence and uniqueness of (formal) solutions, the method of an underlying system, various index concepts and the effect of semi-discretisations. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1007/3-540-45084-X_6 | SNSC |
Keywords | Field | DocType |
various index concept,general system,formal theory,differential equation,numerical analysis,overdetermined linear partial differential,underlying system,partial differential equation,natural framework,differential algebraic equation,indexation,linear system | Applied mathematics,Differential equation,Exponential integrator,Mathematical analysis,Separable partial differential equation,Differential algebraic geometry,Numerical partial differential equations,First-order partial differential equation,Differential algebraic equation,Stochastic partial differential equation,Mathematics | Conference |
Volume | ISSN | ISBN |
2630 | 0302-9743 | 3-540-40554-2 |
Citations | PageRank | References |
2 | 0.72 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Marcus Hausdorf | 1 | 10 | 1.96 |
| Werner M. Seiler | 2 | 79 | 17.45 |
| WM Seiler | 3 | 2 | 0.72 |