Name
Abstract | ||
|---|---|---|
We investigate the convergence properties of the iterated defect correction (IDeC) method based on the implicit Euler rule for the solution of singular initial value problems with a singularity of the first kind. We show that the method retains its classical order of convergence, which means that the sequence of approximations obtained during the iteration shows gradually growing order of convergence limited by the smoothness of the data and technical details of the procedure. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1137/S0036142900368095 | SIAM Journal on Numerical Analysis |
Keywords | Field | DocType |
implicit euler rule,convergence property,singular initial value problem,initial value problems,iterated defect correction,technical detail,classical order,order of convergence,initial value problem,ordinary differential equations | Convergence (routing),Mathematical optimization,Ordinary differential equation,Mathematical analysis,Singular solution,Singularity,Rate of convergence,Initial value problem,Iterated function,Backward Euler method,Mathematics | Journal |
Volume | Issue | ISSN |
38 | 6 | 0036-1429 |
Citations | PageRank | References |
14 | 4.07 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Othmar Koch | 1 | 174 | 28.41 |
| Ewa Weinmüller | 2 | 118 | 24.75 |