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pro vyhledávání: '"Ledoux, Veerle"'
Autor:
Ledoux, Veerle, Van Daele, Marnix
We discuss the automatic solution of the multichannel Schr\"odinger equation. The proposed approach is based on the use of a CP method for which the step size is not restricted by the oscillations in the solution. Moreover, this CP method turns out t
Externí odkaz:
http://arxiv.org/abs/1406.5882
Autor:
Ledoux, Veerle, Van Daele, Marnix
We show how the highly accurate and efficient Constant Perturbation (CP) technique for steady-state Schr\"odinger problems can be used in the solution of time-dependent Schr\"odinger problems with explicitly time-dependent Hamiltonians, following a t
Externí odkaz:
http://arxiv.org/abs/1406.5875
Autor:
Ledoux, Veerle, Van Daele, Marnix
In this paper we revisit some quadrature methods for highly oscillatory integrals of the form $\int_{-1}^1f(x)e^{{\rm i}\omega x}dx, \omega>0$. Exponentially Fitted (EF) rules depend on frequency dependent nodes which start off at the Gauss-Legendre
Externí odkaz:
http://arxiv.org/abs/1406.5880
Publikováno v:
SIAM J. Appl. Dynam. Systems, 8(1):480-507, 2009
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 method is based on the Evans function shooting approach. Transverse to
Externí odkaz:
http://arxiv.org/abs/0805.1706
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 large eigenvalues are sought. This is a consequence of the highly oscill
Externí odkaz:
http://arxiv.org/abs/0804.2605
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 and matching approach, all the relevant information is carried by the f
Externí odkaz:
http://arxiv.org/abs/0710.1037
Publikováno v:
Mathematics of Computation, 2010 Jul 01. 79(271), 1585-1619.
Externí odkaz:
https://www.jstor.org/stable/20779112
Autor:
Ledoux, Veerle1 Veerle.Ledoux@ugent.be, Malham, Simon J. A.2 S.J.Malham@ma.hw.ac.uk, Niesen, Jitse3 jitse@maths.leeds.ac.uk, Thümmler, Vera4 thuemmle@math.uni-bielefeld.de
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 2009, Vol. 8 Issue 1, p480-507. 28p. 1 Chart, 9 Graphs.
Akademický článek
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Autor:
Ledoux, Veerle
In dit proefschrift beschrijven we een specifieke klasse van numerieke methoden voor het oplossen van Sturm-Liouville en Schrodinger vergelijkingen. Ook de Matlab-implementatie van de methoden wordt besproken.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______330::62f4a597fba8702ae822879751972cda
https://biblio.ugent.be/publication/468843
https://biblio.ugent.be/publication/468843