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ORCIDMarnix Van Daele
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2020 – today
- 2023
[j37]Toon Baeyens
, Marnix Van Daele:
Strands: New efficient technique for solving time-independent two-dimensional Schrödinger equations accurately. Comput. Math. Appl. 152: 334-340 (2023)- 2022
- [j36]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: 114292 (2022) - 2021
- [j35]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: 107568 (2021) - 2020
- [j34]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: 125249 (2020)
2010 – 2019
- 2019
- [j33]Waheed K. Zahra, Mahmoud A. Nasr, Marnix Van Daele:
Exponentially fitted methods for solving time fractional nonlinear reaction-diffusion equation. Appl. Math. Comput. 358: 468-490 (2019) - 2018
- [j32]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): 1055-1083 (2018) - 2017
- [j31]Waheed K. Zahra, Marnix Van Daele:
Discrete spline methods for solving two point fractional Bagley-Torvik equation. Appl. Math. Comput. 296: 42-56 (2017) - 2016
- [j30]Veerle Ledoux, Marnix Van Daele:
Matslise 2.0: A Matlab Toolbox for Sturm-Liouville Computations. ACM Trans. Math. Softw. 42(4): 29:1-29:18 (2016) - 2015
- [j29]Juan I. Montijano, Luis Rández, Marnix Van Daele, Manuel Calvo:
Functionally Fitted Explicit Two Step Peer Methods. J. Sci. Comput. 64(3): 938-958 (2015) - 2014
- [j28]Veerle Ledoux, Marnix Van Daele:
The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian. Comput. Phys. Commun. 185(6): 1589-1594 (2014) - [j27]Marnix Van Daele, Stefan Vandewalle:
Preface. J. Comput. Appl. Math. 259: 1 (2014) - 2013
- [j26]Veerle Ledoux, Marnix Van Daele:
Automatic computation of quantum-mechanical bound states and wavefunctions. Comput. Phys. Commun. 184(4): 1287-1296 (2013) - 2012
- [j25]Marc J. Goovaerts, Marnix Van Daele, Stefan Vandewalle:
Preface. J. Comput. Appl. Math. 236(15): 3541 (2012) - [j24]D. Hollevoet, Marnix Van Daele:
Exponentially-fitted methods and their stability functions. J. Comput. Appl. Math. 236(16): 4006-4015 (2012) - [j23]Veerle Ledoux, Marnix Van Daele:
Interpolatory Quadrature Rules for Oscillatory Integrals. J. Sci. Comput. 53(3): 586-607 (2012) - 2011
- [j22]D. Hollevoet, Marnix Van Daele, Guido Vanden Berghe:
Exponentially fitted methods applied to fourth-order boundary value problems. J. Comput. Appl. Math. 235(18): 5380-5393 (2011) - [j21]Guido Vanden Berghe, Marnix Van Daele:
Symplectic exponentially-fitted four-stage Runge-Kutta methods of the Gauss type. Numer. Algorithms 56(4): 591-608 (2011) - 2010
- [j20]Veerle Ledoux, Marnix Van Daele:
Solving Sturm-Liouville problems by piecewise perturbation methods, revisited. Comput. Phys. Commun. 181(8): 1335-1345 (2010) - [j19]Marc J. Goovaerts, Stefan Vandewalle, Marnix Van Daele:
Preface. J. Comput. Appl. Math. 234(4): 949 (2010) - [j18]Veerle Ledoux, Marnix Van Daele:
Solution of Sturm--Liouville Problems Using Modified Neumann Schemes. SIAM J. Sci. Comput. 32(2): 563-584 (2010)
2000 – 2009
- 2009
- [j17]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): 241-250 (2009) - [j16]Guido Vanden Berghe, Marnix Van Daele:
Trigonometric polynomial or exponential fitting approach? J. Comput. Appl. Math. 233(4): 969-979 (2009) - 2008
- [j15]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): 466-478 (2008) - [c4]Veerle Ledoux, Marnix Van Daele, Guido Vanden Berghe:
Using a (Higher-Order) Magnus Method to Solve the Sturm-Liouville Problem. ICCS (1) 2008: 1032-1041 - 2007
- [j14]Veerle Ledoux, Marnix Van Daele, Guido Vanden Berghe:
A numerical procedure to solve the multichannel Schrödinger eigenvalue problem. Comput. Phys. Commun. 176(3): 191-199 (2007) - [j13]Marnix Van Daele, Guido Vanden Berghe:
P-stable Obrechkoff methods of arbitrary order for second-order differential equations. Numer. Algorithms 44(2): 115-131 (2007) - [j12]Marnix Van Daele, Guido Vanden Berghe:
P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations. Numer. Algorithms 46(4): 333-350 (2007) - 2006
- [j11]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): 357-370 (2006) - [j10]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): 424-439 (2006) - [j9]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): 612-619 (2006) - [c3]Veerle Ledoux, Marnix Van Daele, Guido Vanden Berghe:
Piecewise Constant Perturbation Methods for the Multichannel Schrödinger Equation. International Conference on Computational Science (4) 2006: 716-723 - 2005
- [j8]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): 532-554 (2005) - 2004
- [j7]Veerle Ledoux, Marnix Van Daele, Guido Vanden Berghe:
CP methods of higher order for Sturm-Liouville and Schrödinger equations. Comput. Phys. Commun. 162(3): 151-165 (2004) - 2001
- [j6]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): 1697-1716 (2001)
1990 – 1999
- 1998
- [j5]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): 299-309 (1998) - 1997
- [j4]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): 149-157 (1997) - 1996
- [j3]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): 253-263 (1996) - [c2]Marnix Van Daele, Guido Vanden Berghe, Hans E. De Meyer:
Explicit Fifth Order Runge-Kutta Methods with Five Stages for Quadratic ODEs. WNAA 1996: 528-535 - [c1]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: 536-545 - 1992
- [j2]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): 83-97 (1992) - 1991
- [j1]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): 117-127 (1991)
Coauthor Index
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