Quasi-spectral Finite Difference Methods - Convergence An...
Kremp, Tristan
The doctoral thesis ¿Quasi-spectral finite difference methods: Convergence analysis and application to nonlinear optical pulse propagation¿ by Tristan Kremp addresses the theory and application of so-called quasi-spectral finite differences. Contrary to the common Taylor approach, these are by construction exact for trigonometric instead of algebraic polynomials. With any fixed discretization spacing, this allows for a higher accuracy, e.g., w...