Marnix Van Daele

Publication Activity (10 Years)

Years Active: 1991-2023
Publications (10 Years): 8

Top Topics

Numerical Solution

Eikonal Equation

Distance Transform

Hamilton Jacobi

Top Venues

Appl. Math. Comput.

J. Comput. Appl. Math.

Comput. Phys. Commun.

J. Sci. Comput.

Publications

Toon Baeyens, Marnix Van Daele
Strands: New efficient technique for solving time-independent two-dimensional Schrödinger equations accurately. Comput. Math. Appl. 152 (2023)
Toon Baeyens, Marnix Van Daele
Improvements to the computation of eigenvalues and eigenfunctions of two-dimensional Schrödinger equations by constant perturbation based algorithms. J. Comput. Appl. Math. 412 (2022)
Toon Baeyens, Marnix Van Daele
The fast and accurate computation of eigenvalues and eigenfunctions of time-independent one-dimensional Schrödinger equations. Comput. Phys. Commun. 258 (2021)
Juan I. Montijano, Luis Rández, Marnix Van Daele, Manuel Calvo
On the numerical stability of the exponentially fitted methods for first order IVPs. Appl. Math. Comput. 379 (2020)
Waheed K. Zahra, Mahmoud A. Nasr, Marnix Van Daele
Exponentially fitted methods for solving time fractional nonlinear reaction-diffusion equation. Appl. Math. Comput. 358 (2019)
Philippe Bocher, Juan I. Montijano, Luis Rández, Marnix Van Daele
Explicit Runge-Kutta Methods for Stiff Problems with a Gap in Their Eigenvalue Spectrum. J. Sci. Comput. 77 (2) (2018)
Waheed K. Zahra, Marnix Van Daele
Discrete spline methods for solving two point fractional Bagley-Torvik equation. Appl. Math. Comput. 296 (2017)
Veerle Ledoux, Marnix Van Daele
Matslise 2.0: A Matlab Toolbox for Sturm-Liouville Computations. ACM Trans. Math. Softw. 42 (4) (2016)
Juan I. Montijano, Luis Rández, Marnix Van Daele, Manuel Calvo
Functionally Fitted Explicit Two Step Peer Methods. J. Sci. Comput. 64 (3) (2015)
Veerle Ledoux, Marnix Van Daele
The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian. Comput. Phys. Commun. 185 (6) (2014)
Marnix Van Daele, Stefan Vandewalle
Preface. J. Comput. Appl. Math. 259 (2014)
Veerle Ledoux, Marnix Van Daele
Automatic computation of quantum-mechanical bound states and wavefunctions. Comput. Phys. Commun. 184 (4) (2013)
Veerle Ledoux, Marnix Van Daele
Interpolatory Quadrature Rules for Oscillatory Integrals. J. Sci. Comput. 53 (3) (2012)
D. Hollevoet, Marnix Van Daele
Exponentially-fitted methods and their stability functions. J. Comput. Appl. Math. 236 (16) (2012)
Marc J. Goovaerts, Marnix Van Daele, Stefan Vandewalle
Preface. J. Comput. Appl. Math. 236 (15) (2012)
D. Hollevoet, Marnix Van Daele, Guido Vanden Berghe
Exponentially fitted methods applied to fourth-order boundary value problems. J. Comput. Appl. Math. 235 (18) (2011)
Guido Vanden Berghe, Marnix Van Daele
Symplectic exponentially-fitted four-stage Runge-Kutta methods of the Gauss type. Numer. Algorithms 56 (4) (2011)
Veerle Ledoux, Marnix Van Daele
Solution of Sturm--Liouville Problems Using Modified Neumann Schemes. SIAM J. Sci. Comput. 32 (2) (2010)
Veerle Ledoux, Marnix Van Daele
Solving Sturm-Liouville problems by piecewise perturbation methods, revisited. Comput. Phys. Commun. 181 (8) (2010)
Marc J. Goovaerts, Stefan Vandewalle, Marnix Van Daele
Preface. J. Comput. Appl. Math. 234 (4) (2010)
Veerle Ledoux, Marnix Van Daele, Guido Vanden Berghe
Efficient computation of high index Sturm-Liouville eigenvalues for problems in physics. Comput. Phys. Commun. 180 (2) (2009)
Guido Vanden Berghe, Marnix Van Daele
Trigonometric polynomial or exponential fitting approach? J. Comput. Appl. Math. 233 (4) (2009)
Margarit Rizea, Veerle Ledoux, Marnix Van Daele, Guido Vanden Berghe, Nicolae Carjan
Finite difference approach for the two-dimensional Schrödinger equation with application to scission-neutron emission. Comput. Phys. Commun. 179 (7) (2008)
Veerle Ledoux, Marnix Van Daele, Guido Vanden Berghe
Using a (Higher-Order) Magnus Method to Solve the Sturm-Liouville Problem. ICCS (1) (2008)
Veerle Ledoux, Marnix Van Daele, Guido Vanden Berghe
A numerical procedure to solve the multichannel Schrödinger eigenvalue problem. Comput. Phys. Commun. 176 (3) (2007)
Marnix Van Daele, Guido Vanden Berghe
P-stable Obrechkoff methods of arbitrary order for second-order differential equations. Numer. Algorithms 44 (2) (2007)
Marnix Van Daele, Guido Vanden Berghe
P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations. Numer. Algorithms 46 (4) (2007)
Veerle Ledoux, Margarit Rizea, Liviu Gr. Ixaru, Guido Vanden Berghe, Marnix Van Daele
Solution of the Schrödinger equation by a high order perturbation method based on a linear reference potential. Comput. Phys. Commun. 175 (6) (2006)
Veerle Ledoux, Marnix Van Daele, Guido Vanden Berghe
CPM{P, N} methods extended for the solution of coupled channel Schrödinger equations. Comput. Phys. Commun. 174 (5) (2006)
Veerle Ledoux, Liviu Gr. Ixaru, Margarit Rizea, Marnix Van Daele, Guido Vanden Berghe
Solution of the Schrödinger equation over an infinite integration interval by perturbation methods, revisited. Comput. Phys. Commun. 175 (9) (2006)
Veerle Ledoux, Marnix Van Daele, Guido Vanden Berghe
Piecewise Constant Perturbation Methods for the Multichannel Schrödinger Equation. International Conference on Computational Science (4) (2006)
Veerle Ledoux, Marnix Van Daele, Guido Vanden Berghe
MATSLISE: A MATLAB package for the numerical solution of sturm-liouville and schrödinger equations. ACM Trans. Math. Softw. 31 (4) (2005)
Veerle Ledoux, Marnix Van Daele, Guido Vanden Berghe
CP methods of higher order for Sturm-Liouville and Schrödinger equations. Comput. Phys. Commun. 162 (3) (2004)
Marnix Van Daele, Jeff R. Cash
Superconvergent Deferred Correction Methods For First Order Systems of Nonlinear Two-Point Boundary Value Problems. SIAM J. Sci. Comput. 22 (5) (2001)
Marnix Van Daele, Guido Vanden Berghe, Hans E. De Meyer, Liviu Gr. Ixaru
Exponential-fitted four-step methods for. Int. J. Comput. Math. 66 (3-4) (1998)
Tanja van Hecke, Guido Vanden Berghe, Marnix Van Daele, Hans E. De Meyer
A variable-step variable-order algorithm for systems of stiff odes. Int. J. Comput. Math. 63 (1-2) (1997)
Tanja van Hecke, Marnix Van Daele, Guido Vanden Berghe, Hans E. De Meyer
P-stable Mono-Implicit Runge-Kutta-Nyström Modifications of the Numerov Method. WNAA (1996)
Marnix Van Daele, Guido Vanden Berghe, Hans E. De Meyer
Explicit Fifth Order Runge-Kutta Methods with Five Stages for Quadratic ODEs. WNAA (1996)
Marnix Van Daele, Guido Vanden Berghe, Hans E. De Meyer
A general theory of stabilized extended one-step methods for odes. Int. J. Comput. Math. 60 (3-4) (1996)
Marnix Van Daele, Hans E. De Meyer, Guido Vanden Berghe
Modified newton-cotes formulae for numerical quadrature of oscillatory integrals with two independent variable frequencies. Int. J. Comput. Math. 42 (1-2) (1992)
Marnix Van Daele, Hans E. De Meyer, Guido Vanden Berghe
A modified numerov integration method for general second order initial value Problems. Int. J. Comput. Math. 40 (1-2) (1991)