RBF collocation methods for delayed differential equations
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Thu, 13/05/2010 14:00 |
Dr Francisco Bernal (OCCAM, University of Oxford) |
Computational Mathematics and Applications  |
3WS SR |
| Meshless (or meshfree) methods are a relatively new numerical approach for the solution of ordinary- and partial differential equations. They offer the geometrical flexibility of finite elements but without requiring connectivity from the discretization support (ie a mesh). Meshless methods based on the collocation of radial basis functions (RBF methods) are particularly easy to code, and have a number of theoretical advantages as well as practical drawbacks. In this talk, an adaptive RBF scheme is presented for a novel application, namely the solution of (a rather broad class of) delayed- and neutral differential equations. | |||