26 citations · 42 across the 5 of their papers we have counts for
6 papers
Automatic computation of quantum-mechanical bound states and wavefunctions
Veerle Ledoux, Marnix Van Daele
We discuss the automatic solution of the multichannel Schrödinger equation. The proposed approach is based on the use of a CP method for which the step size is not restricted by th…
Interpolatory quadrature rules for oscillatory integrals
Veerle Ledoux, Marnix Van Daele
In this paper we revisit some quadrature methods for highly oscillatory integrals of the form . Exponentially Fitted (EF) rules depend on frequ…
The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian
Veerle Ledoux, Marnix Van Daele
We show how the highly accurate and efficient Constant Perturbation (CP) technique for steady-state Schrödinger problems can be used in the solution of time-dependent Schrödinger p…
Computing stability of multi-dimensional travelling waves
Veerle Ledoux, Simon J. A. Malham, Jitse Niesen +1
We present a numerical method for computing the pure-point spectrum associated with the linear stability of multi-dimensional travelling fronts to parabolic nonlinear systems. Our…
Efficient computation of high index Sturm-Liouville eigenvalues for problems in physics
Veerle Ledoux, Marnix Van Daele, Guido Vanden Berghe
Finding the eigenvalues of a Sturm-Liouville problem can be a computationally challenging task, especially when a large set of eigenvalues is computed, or just when particularly la…
Grassmannian spectral shooting
Veerle Ledoux, Simon J. A. Malham, Vera Thummler
We present a new numerical method for computing the pure-point spectrum associated with the linear stability of coherent structures. In the context of the Evans function shooting a…