Name
Abstract | ||
|---|---|---|
Most convergence concepts for discretizations of nonlinear stiff initial value problems are based on one-sided Lipschitz continuity. Therefore only those stiff problems that admit moderately sized one-sided Lipschitz constants are covered in a satisfactory way by the respective theory. In the present note we show that the assumption of moderately sized one-sided Lipschitz constants is violated for many stiff problems. We recall some convergence results that are not based on one-sided Lipschitz constants; the concept of singular perturbations is one of the key issues. Numerical experience with stiff problems that are not covered by available convergence results is reported. |
Year | DOI | Venue |
|---|---|---|
1990 | 10.1007/BF02262216 | Computing |
Keywords | Field | DocType |
one-sided lipschitz continuity,stiff problem,logarithmic norms,stiff differential equations,convergence concept | Convergence (routing),Discretization,Differential equation,Mathematical optimization,Nonlinear system,Matrix calculus,Mathematical analysis,Singular perturbation,Lipschitz continuity,Initial value problem,Mathematics | Journal |
Volume | Issue | ISSN |
44 | 3 | 0010-485X |
Citations | PageRank | References |
3 | 1.10 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| W. Auzinger | 1 | 27 | 8.28 |
| R. Frank | 2 | 7 | 1.91 |
| G. Kirlinger | 3 | 20 | 9.26 |