Name
Abstract | ||
|---|---|---|
We consider the Cauchy problem associated with a general parabolic partial differential equation in d dimensions. We find a family of closed-form asymptotic approximations for the unique classical solution of this equation as well as rigorous short-time error estimates. Using a boot-strapping technique, we also provide convergence results for arbitrarily large time intervals. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1137/130949968 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | DocType | Volume |
parabolic PDE,asymptotic expansion,singular perturbation,analytical approximation | Journal | 75 |
Issue | ISSN | Citations |
2 | 0036-1399 | 4 |
PageRank | References | Authors |
0.67 | 3 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Matthew J. Lorig | 1 | 15 | 4.93 |
| Stefano Pagliarani | 2 | 13 | 4.09 |
| Andrea Pascucci | 3 | 34 | 9.05 |