Nonlinear problems in fluid dynamics and inverse scattering: Propagation and capturing of singularities in problems of fluid dynamics and inverse scattering
Abstract
Research investigations addressed problems of solving PDE's using orthonormal bases with controlled localization in the time-frequency domain (e.g. wavelets). We have developed a number of fast algorithms and started investigations in several new areas. Among the results is the unequally spaced fast Fourier transform (USFFT) algorithm and a new approach to numerical homogenization.
- Publication:
-
Colorado University Report
- Pub Date:
- December 1994
- Bibcode:
- 1994colo.reptS....B
- Keywords:
-
- Algorithms;
- Fast Fourier Transformations;
- Nonlinear Evolution Equations;
- Partial Differential Equations;
- Wavelet Analysis;
- Difference Equations;
- Fluid Dynamics;
- Inverse Scattering;
- Singularity (Mathematics);
- Fluid Mechanics and Heat Transfer