Name
Abstract | ||
|---|---|---|
We provide a new analytical approach to operator splitting for equations of the type u(t) = Au B(u), where A is a linear operator and B is quadratic. A particular example is the Korteweg-de Vries (KdV) equation u(t)-uu(x) + u(xxx) = 0. We show that the Godunov and Strang splitting methods converge with the expected rates if the initial data are sufficiently regular. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1090/S0025-5718-2010-02402-0 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
KdV equation,operator splitting | Operator splitting,Strang splitting,Mathematical analysis,Mathematical physics,Quadratic equation,Linear map,Numerical analysis,Korteweg–de Vries equation,Mathematics | Journal |
Volume | Issue | ISSN |
80 | 274 | 0025-5718 |
Citations | PageRank | References |
17 | 1.78 | 1 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Helge Holden | 1 | 63 | 11.29 |
| Kenneth H. Karlsen | 2 | 119 | 23.76 |
| Nils Henrik Risebro | 3 | 79 | 38.95 |
| Terence Tao | 4 | 8155 | 748.40 |