Marnix Van Daele

According to our database1, Marnix Van Daele authored at least 38 papers between 1991 and 2021.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2021
The fast and accurate computation of eigenvalues and eigenfunctions of time-independent one-dimensional Schrödinger equations.
Comput. Phys. Commun., 2021

2020
On the numerical stability of the exponentially fitted methods for first order IVPs.
Appl. Math. Comput., 2020

2019
Exponentially fitted methods for solving time fractional nonlinear reaction-diffusion equation.
Appl. Math. Comput., 2019

2018
Explicit Runge-Kutta Methods for Stiff Problems with a Gap in Their Eigenvalue Spectrum.
J. Sci. Comput., 2018

2017
Discrete spline methods for solving two point fractional Bagley-Torvik equation.
Appl. Math. Comput., 2017

2016
Matslise 2.0: A Matlab Toolbox for Sturm-Liouville Computations.
ACM Trans. Math. Softw., 2016

2015
Functionally Fitted Explicit Two Step Peer Methods.
J. Sci. Comput., 2015

2014
Preface.
J. Comput. Appl. Math., 2014

The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian.
Comput. Phys. Commun., 2014

2013
Automatic computation of quantum-mechanical bound states and wavefunctions.
Comput. Phys. Commun., 2013

2012
Interpolatory Quadrature Rules for Oscillatory Integrals.
J. Sci. Comput., 2012

Exponentially-fitted methods and their stability functions.
J. Comput. Appl. Math., 2012

2011
Symplectic exponentially-fitted four-stage Runge-Kutta methods of the Gauss type.
Numer. Algorithms, 2011

Exponentially fitted methods applied to fourth-order boundary value problems.
J. Comput. Appl. Math., 2011

2010
Solution of Sturm--Liouville Problems Using Modified Neumann Schemes.
SIAM J. Sci. Comput., 2010

Preface.
J. Comput. Appl. Math., 2010

Solving Sturm-Liouville problems by piecewise perturbation methods, revisited.
Comput. Phys. Commun., 2010

2009
Trigonometric polynomial or exponential fitting approach?
J. Comput. Appl. Math., 2009

Efficient computation of high index Sturm-Liouville eigenvalues for problems in physics.
Comput. Phys. Commun., 2009

2008
Finite difference approach for the two-dimensional Schrödinger equation with application to scission-neutron emission.
Comput. Phys. Commun., 2008

Using a (Higher-Order) Magnus Method to Solve the Sturm-Liouville Problem.
Proceedings of the Computational Science, 2008

2007
P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations.
Numer. Algorithms, 2007

P-stable Obrechkoff methods of arbitrary order for second-order differential equations.
Numer. Algorithms, 2007

A numerical procedure to solve the multichannel Schrödinger eigenvalue problem.
Comput. Phys. Commun., 2007

2006
Solution of the Schrödinger equation by a high order perturbation method based on a linear reference potential.
Comput. Phys. Commun., 2006

Solution of the Schrödinger equation over an infinite integration interval by perturbation methods, revisited.
Comput. Phys. Commun., 2006

CPM{P, N} methods extended for the solution of coupled channel Schrödinger equations.
Comput. Phys. Commun., 2006

Piecewise Constant Perturbation Methods for the Multichannel Schrödinger Equation.
Proceedings of the Computational Science, 2006

2005
MATSLISE: A MATLAB package for the numerical solution of sturm-liouville and schrödinger equations.
ACM Trans. Math. Softw., 2005

2004
CP methods of higher order for Sturm-Liouville and Schrödinger equations.
Comput. Phys. Commun., 2004

2001
Superconvergent Deferred Correction Methods For First Order Systems of Nonlinear Two-Point Boundary Value Problems.
SIAM J. Sci. Comput., 2001

1998
Exponential-fitted four-step methods for.
Int. J. Comput. Math., 1998

1997
A variable-step variable-order algorithm for systems of stiff odes.
Int. J. Comput. Math., 1997

1996
A general theory of stabilized extended one-step methods for odes.
Int. J. Comput. Math., 1996

P-stable Mono-Implicit Runge-Kutta-Nyström Modifications of the Numerov Method.
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996

Explicit Fifth Order Runge-Kutta Methods with Five Stages for Quadratic ODEs.
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996

1992
Modified newton-cotes formulae for numerical quadrature of oscillatory integrals with two independent variable frequencies.
Int. J. Comput. Math., 1992

1991
A modified numerov integration method for general second order initial value Problems.
Int. J. Comput. Math., 1991


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