Name
Abstract | ||
|---|---|---|
In this paper, we discuss multiscale radial basis function collocation methods for solving certain elliptic partial differential equations on the unit sphere. The approximate solution is constructed in a multi-level fashion, each level using compactly supported radial basis functions of smaller scale on an increasingly fine mesh. Two variants of the collocation method are considered (sometimes called symmetric and unsymmetric, although here both are symmetric). A convergence theory is given, which builds on recent theoretical advances for multiscale approximation using compactly supported radial basis functions. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/s00211-011-0428-6 | Numerische Mathematik |
Keywords | Field | DocType |
multi-level fashion,multiscale radial basis function,collocation method,convergence theory,approximate solution,fine mesh,multiscale approximation,multiscale rbf collocation,recent theoretical advance,radial basis function,certain elliptic partial differential,numerical analysis | Mathematical optimization,Radial basis function,Orthogonal collocation,Mathematical analysis,Symbolic convergence theory,Numerical analysis,Elliptic partial differential equation,Collocation method,Mathematics,Unit sphere,Collocation | Journal |
Volume | Issue | ISSN |
121 | 1 | 0945-3245 |
Citations | PageRank | References |
5 | 0.45 | 15 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Q. T. Le Gia | 1 | 93 | 12.64 |
| Ian H. Sloan | 2 | 1180 | 183.02 |
| Holger Wendland | 3 | 309 | 43.49 |