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M. Van Daele

4 papers hereh-index 241.9k citations123 works total

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author position
  • middle author1
  • last author3

Across the 4 of 4 papers where every author was matched, so the position is known.

fields
  • math.NA4

identity via Semantic Scholar / OpenAlex

most citedEfficient computation of high index Sturm-Liouville eigenvalues for problems in physics

26 citations · 26 across the 3 of their papers we have counts for

collaborators

4 papers

math.NA2014

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…

math.NA2014

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 ∫−11​f(x)eiωxdx,ω>0. Exponentially Fitted (EF) rules depend on frequ…

math.NA2014

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…

math.NA2008★ 26 cited

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…

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