Strands: New efficient technique for solving time-independent two-dimensional Schrödinger equations accurately. - Baeyens, Toon; Daele, Marnix Van (Comput. Math. Appl., 2023)

Improvements to the computation of eigenvalues and eigenfunctions of two-dimensional Schrödinger equations by constant perturbation based algorithms. - Baeyens, Toon; Daele, Marnix Van (J. Comput. Appl. Math., 2022)

The fast and accurate computation of eigenvalues and eigenfunctions of time-independent one-dimensional Schrödinger equations. - Baeyens, Toon; Daele, Marnix Van (Comput. Phys. Commun., 2021)

On the numerical stability of the exponentially fitted methods for first order IVPs. - Montijano, Juan I.; Rández, Luis; Daele, Marnix Van; Calvo, Manuel (Appl. Math. Comput., 2020)

Exponentially fitted methods for solving time fractional nonlinear reaction-diffusion equation. - Zahra, Waheed K.; Nasr, Mahmoud A.; Daele, Marnix Van (Appl. Math. Comput., 2019)

Explicit Runge-Kutta Methods for Stiff Problems with a Gap in Their Eigenvalue Spectrum. - Bocher, Philippe; Montijano, Juan I.; Rández, Luis; Daele, Marnix Van (J. Sci. Comput., 2018)

Discrete spline methods for solving two point fractional Bagley-Torvik equation. - Zahra, Waheed K.; Daele, Marnix Van (Appl. Math. Comput., 2017)

Matslise 2.0: A Matlab Toolbox for Sturm-Liouville Computations. - Ledoux, Veerle; Daele, Marnix Van (ACM Trans. Math. Softw., 2016)

Functionally Fitted Explicit Two Step Peer Methods. - Montijano, Juan I.; Rández, Luis; Daele, Marnix Van; Calvo, Manuel (J. Sci. Comput., 2015)

The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian. - Ledoux, Veerle; Daele, Marnix Van (Comput. Phys. Commun., 2014)

Preface. - Daele, Marnix Van; Vandewalle, Stefan (J. Comput. Appl. Math., 2014)

Automatic computation of quantum-mechanical bound states and wavefunctions. - Ledoux, Veerle; Daele, Marnix Van (Comput. Phys. Commun., 2013)

Preface. - Goovaerts, Marc J.; Daele, Marnix Van; Vandewalle, Stefan (J. Comput. Appl. Math., 2012)

Exponentially-fitted methods and their stability functions. - Hollevoet, D.; Daele, Marnix Van (J. Comput. Appl. Math., 2012)

Interpolatory Quadrature Rules for Oscillatory Integrals. - Ledoux, Veerle; Daele, Marnix Van (J. Sci. Comput., 2012)

Exponentially fitted methods applied to fourth-order boundary value problems. - Hollevoet, D.; Daele, Marnix Van; Berghe, Guido Vanden (J. Comput. Appl. Math., 2011)

Symplectic exponentially-fitted four-stage Runge-Kutta methods of the Gauss type. - Berghe, Guido Vanden; Daele, Marnix Van (Numer. Algorithms, 2011)

Solving Sturm-Liouville problems by piecewise perturbation methods, revisited. - Ledoux, Veerle; Daele, Marnix Van (Comput. Phys. Commun., 2010)

Preface. - Goovaerts, Marc J.; Vandewalle, Stefan; Daele, Marnix Van (J. Comput. Appl. Math., 2010)

Solution of Sturm--Liouville Problems Using Modified Neumann Schemes. - Ledoux, Veerle; Daele, Marnix Van (SIAM J. Sci. Comput., 2010)

Efficient computation of high index Sturm-Liouville eigenvalues for problems in physics. - Ledoux, Veerle; Daele, Marnix Van; Berghe, Guido Vanden (Comput. Phys. Commun., 2009)

Trigonometric polynomial or exponential fitting approach? - Berghe, Guido Vanden; Daele, Marnix Van (J. Comput. Appl. Math., 2009)

Finite difference approach for the two-dimensional Schrödinger equation with application to scission-neutron emission. - Rizea, Margarit; Ledoux, Veerle; Daele, Marnix Van; Berghe, Guido Vanden; Carjan, Nicolae (Comput. Phys. Commun., 2008)

Using a (Higher-Order) Magnus Method to Solve the Sturm-Liouville Problem. - Ledoux, Veerle; Daele, Marnix Van; Berghe, Guido Vanden (2008)

A numerical procedure to solve the multichannel Schrödinger eigenvalue problem. - Ledoux, Veerle; Daele, Marnix Van; Berghe, Guido Vanden (Comput. Phys. Commun., 2007)

P-stable Obrechkoff methods of arbitrary order for second-order differential equations. - Daele, Marnix Van; Berghe, Guido Vanden (Numer. Algorithms, 2007)

P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations. - Daele, Marnix Van; Berghe, Guido Vanden (Numer. Algorithms, 2007)

CPM{P, N} methods extended for the solution of coupled channel Schrödinger equations. - Ledoux, Veerle; Daele, Marnix Van; Berghe, Guido Vanden (Comput. Phys. Commun., 2006)

Solution of the Schrödinger equation by a high order perturbation method based on a linear reference potential. - Ledoux, Veerle; Rizea, Margarit; Ixaru, Liviu Gr.; Berghe, Guido Vanden; Daele, Marnix Van (Comput. Phys. Commun., 2006)

Solution of the Schrödinger equation over an infinite integration interval by perturbation methods, revisited. - Ledoux, Veerle; Ixaru, Liviu Gr.; Rizea, Margarit; Daele, Marnix Van; Berghe, Guido Vanden (Comput. Phys. Commun., 2006)

Piecewise Constant Perturbation Methods for the Multichannel Schrödinger Equation. - Ledoux, Veerle; Daele, Marnix Van; Berghe, Guido Vanden (2006)

MATSLISE: A MATLAB package for the numerical solution of sturm-liouville and schrödinger equations. - Ledoux, Veerle; Daele, Marnix Van; Berghe, Guido Vanden (ACM Trans. Math. Softw., 2005)

CP methods of higher order for Sturm-Liouville and Schrödinger equations. - Ledoux, Veerle; Daele, Marnix Van; Berghe, Guido Vanden (Comput. Phys. Commun., 2004)

Superconvergent Deferred Correction Methods For First Order Systems of Nonlinear Two-Point Boundary Value Problems. - Daele, Marnix Van; Cash, Jeff R. (SIAM J. Sci. Comput., 2001)

Exponential-fitted four-step methods for. - Daele, Marnix Van; Berghe, Guido Vanden; Meyer, Hans E. De; Ixaru, Liviu Gr. (Int. J. Comput. Math., 1998)

A variable-step variable-order algorithm for systems of stiff odes. - Hecke, Tanja van; Berghe, Guido Vanden; Daele, Marnix Van; Meyer, Hans E. De (Int. J. Comput. Math., 1997)

A general theory of stabilized extended one-step methods for odes. - Daele, Marnix Van; Berghe, Guido Vanden; Meyer, Hans E. De (Int. J. Comput. Math., 1996)

Explicit Fifth Order Runge-Kutta Methods with Five Stages for Quadratic ODEs. - Daele, Marnix Van; Berghe, Guido Vanden; Meyer, Hans E. De (1996)

P-stable Mono-Implicit Runge-Kutta-Nyström Modifications of the Numerov Method. - Hecke, Tanja van; Daele, Marnix Van; Berghe, Guido Vanden; Meyer, Hans E. De (1996)

Modified newton-cotes formulae for numerical quadrature of oscillatory integrals with two independent variable frequencies. - Daele, Marnix Van; Meyer, Hans E. De; Berghe, Guido Vanden (Int. J. Comput. Math., 1992)

A modified numerov integration method for general second order initial value Problems. - Daele, Marnix Van; Meyer, Hans E. De; Berghe, Guido Vanden (Int. J. Comput. Math., 1991)