| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4642558 | Journal of Computational and Applied Mathematics | 2007 | 21 Pages |
Abstract
We present a spectral method for the computation of homoclinic orbits in ordinary differential equations. The method is based on Hermite–Fourier expansions of the complete homoclinic solution and exhibits exponential convergence. In addition, our method can be used to approximate nonlinear functionals which depend on the complete homoclinic solution. This is demonstrated using examples from phase separation dynamics and metastability.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Valeriy R. Korostyshevskiy, Thomas Wanner,