Marnix Van Daele - Author Profile

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Van Daele, Marnix

Author ID:	van-daele.marnix
Published as:	Van Daele, M.; Van Daele, Marnix; van Daele, M.; van Daele, Marnix more...less

Documents Indexed:	89 Publications since 1991
	4 Contributions as Editor
Co-Authors:	23 Co-Authors with 93 Joint Publications
	430 Co-Co-Authors

all top 5

Co-Authors

0	single-authored
66	Vanden Berghe, Guido
29	De Meyer, Hans E.
20	Ledoux, Veerle
13	Van Hecke, Tanja
7	Ixaru, Liviu Gr.
6	Hollevoet, D.
4	Montijano, Juan Ignacio
4	Rández, Luis
4	Rizea, M.
4	Van de Vyver, Hans
4	Vandewalle, Stefan G.
3	Baeyens, Toon
3	Calvo, Manuel
3	Goovaerts, Marc J.
3	Zahra, Waheed K.
2	Cash, Jeff R.
1	Bocher, Philippe
1	Carjan, Nicolae
1	Moore, Daniel R.
1	Ostermann, Alexander
1	Silişteanu, I.
1	Sumarti, Novriana
1	Wuytack, Luc

all top 5

Serials

22	Journal of Computational and Applied Mathematics
14	Computer Physics Communications
8	Applied Numerical Mathematics
6	Computers & Mathematics with Applications
5	International Journal of Computer Mathematics
3	Applied Mathematics and Computation
3	Journal of Scientific Computing
3	Numerical Algorithms
2	ACM Transactions on Mathematical Software
2	SIAM Journal on Scientific Computing
2	ANACM. Applied Numerical Analysis and Computational Mathematics
1	IMA Journal of Numerical Analysis
1	International Journal of Theoretical Physics
1	Physics Letters. A
1	ZAMP. Zeitschrift für angewandte Mathematik und Physik
1	BIT
1	Computational Mathematics and Modeling
1	Numerical Linear Algebra with Applications
1	Journal of Computational Methods in Sciences and Engineering
1	JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics

all top 5

Fields

90	Numerical analysis (65-XX)
53	Ordinary differential equations (34-XX)
11	Quantum theory (81-XX)
6	Partial differential equations (35-XX)
4	General and overarching topics; collections (00-XX)
2	Dynamical systems and ergodic theory (37-XX)
2	Approximations and expansions (41-XX)
2	Harmonic analysis on Euclidean spaces (42-XX)
1	Special functions (33-XX)
1	Operator theory (47-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

76 Publications have been cited 1,236 times in 536 Documents	Cited by ▼	Year ▼
Exponentially-fitted explicit Runge-Kutta methods. Zbl 0948.65066 Vanden Berghe, G.; De Meyer, H.; Van Daele, M.; Van Hecke, T.	107	1999
Exponentially fitted Runge-Kutta methods. Zbl 0999.65065 Vanden Berghe, G.; De Meyer, H.; Van Daele, M.; Van Hecke, T.	79	2000
P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations. Zbl 1134.65043 Van Daele, M.; Vanden Berghe, G.	67	2007
The optimal exponentially-fitted Numerov method for solving two-point boundary value problems. Zbl 1167.65406 Hollevoet, D.; Van Daele, M.; Vanden Berghe, G.	65	2009
Four-step exponential-fitted methods for nonlinear physical problems. Zbl 0927.65100 Ixaru, L. Gr.; Vanden Berghe, G.; De Meyer, H.; Van Daele, M.	59	1997
EXPFIT4 – a FORTRAN program for the numerical solution of systems of nonlinear second-order initial-value problems. Zbl 0927.65099 Ixaru, L. Gr.; De Meyer, H.; Vanden Berghe, G.; Van Daele, M.	57	1997
Exponentially-fitted Obrechkoff methods for second-order differential equations. Zbl 1166.65352 Vanden Berghe, G.; Van Daele, M.	55	2009
MATSLISE: a MATLAB package for the numerical solution of Sturm-Liouville and Schrödinger equations. Zbl 1136.65327 Ledoux, Veerle; Van Daele, Marnix; Vanden Berghe, Guido	54	2005
\(P\)-stable Obrechkoff methods of arbitrary order for second-order differential equations. Zbl 1123.65070 Van Daele, Marnix; Vanden Berghe, Guido	53	2007
Exponential-fitted four-step methods for \(y''=f(x,y)\). Zbl 0894.65032 Van Daele, M.; Vanden Berghe, G.; De Meyer, H.; Ixaru, L. Gr.	51	1998
Finite difference approach for the two-dimensional Schrödinger equation with application to scission-neutron emission. Zbl 1197.81041 Rizea, M.; Ledoux, V.; Van Daele, M.; Vanden Berghe, G.; Carjan, N.	50	2008
Properties and implementation of \(r\)-Adams methods based on mixed-type interpolation. Zbl 0837.65079 Van Daele, M.; Vanden Berghe, G.; De Meyer, H.	50	1995
Exponential fitted Runge-Kutta methods of collocation type: Fixed or variable knot points? Zbl 1031.65084 Vanden Berghe, G.; Van Daele, M.; Vande Vyver, H.	38	2003
Optimal implicit exponentially-fitted Runge-Kutta methods. Zbl 0990.65080 Vanden Berghe, G.; Ixaru, L. Gr.; Van Daele, M.	31	2001
Exponentially-fitted Numerov methods. Zbl 1110.65071 Vanden Berghe, G.; Van Daele, M.	26	2007
A smooth approximation for the solution of a fourth-order boundary value problem based on nonpolynomial splines. Zbl 0810.65079 van Daele, M.; Vanden Berghe, G.; de Meyer, H.	23	1994
Discrete spline methods for solving two point fractional Bagley-Torvik equation. Zbl 1411.65098 Zahra, W. K.; Van Daele, M.	20	2017
CP methods of higher order for Sturm-Liouville and Schrödinger equations. Zbl 1196.65131 Ledoux, V.; Van Daele, M.; Vanden Berghe, Guido	18	2004
Geometric numerical integration by means of exponentially-fitted methods. Zbl 1116.65125 Van Daele, M.; Vanden Berghe, G.	18	2007
Exponentially-fitted Störmer/Verlet methods. Zbl 1127.65050 Vanden Berghe, G.; Van Daele, M.	18	2006
Exponentially fitted methods applied to fourth-order boundary value problems. Zbl 1225.65075 Hollevoet, D.; Van Daele, M.; Vanden Berghe, G.	14	2011
Solution of the Schrödinger equation by a high order perturbation method based on a linear reference potential. Zbl 1196.81127 Ledoux, V.; Rizea, M.; Ixaru, L.; Vanden Berghe, G.; Van Daele, M.	13	2006
Matslise 2.0: a Matlab toolbox for Sturm-Liouville computations. Zbl 1369.65094 Ledoux, Veerle; Van Daele, Marnix	13	2016
Symplectic exponentially-fitted four-stage Runge-Kutta methods of the Gauss type. Zbl 1215.65130 Vanden Berghe, Guido; Van Daele, Marnix	11	2011
A parallel approach to the modified Numerov-like eigenvalue determination for Sturm-Liouville problems. Zbl 0773.65066 Vanden Berghe, G.; De Meyer, H.; Van Daele, M.	11	1992
Solution of the Schrödinger equation over an infinite integration interval by perturbation methods, revisited. Zbl 1196.81126 Ledoux, V.; Ixaru, L. Gr.; Rizea, M.; Van Daele, M.; Vanden Berghe, G.	10	2006
Efficient computation of high index Sturm-Liouville eigenvalues for problems in physics. Zbl 1198.65124 Ledoux, V.; Van Daele, M.; Vanden Berghe, Guido	10	2009
Exponentially fitted quadrature rules of Gauss type for oscillatory integrands. Zbl 1069.65022 Van Daele, M.; Vanden Berghe, G.; Vande Vyver, H.	10	2005
Extended one-step methods: An exponential fitting approach. Zbl 1063.65063 Van Daele, M.; Vanden Berghe, G.	10	2004
Exponentially-fitted algorithms: fixed or frequency dependent knot points? Zbl 1070.65020 Vanden Berghe, G.; Van Daele, M.; Vande Vyver, H.	10	2004
A modified difference scheme for periodic and semiperiodic Sturm- Liouville problems. Zbl 0834.65075 Vanden Berghe, G.; Van Daele, M.; De Meyer, H.	9	1995
A regularization procedure for \(\sum^ n_{i=1} f_ i (z_ j) x_ i= g(z_ j)\), \((j=1,2,\dots,n)\). Zbl 0841.65021 Ixaru, L. Gr.; de Meyer, H.; Vanden Berghe, G.; Van Daele, M.	9	1996
On a class of \(P\)-stable mono-implicit Runge-Kutta-Nyström methods. Zbl 0937.65085 Van Daele, M.; De Meyer, H.; Van Hecke, T.; Vanden Berghe, G.	9	1998
On the derivation of explicit two-step peer methods. Zbl 1215.65120 Calvo, M.; Montijano, J. I.; Rández, L.; Van Daele, M.	8	2011
On the generation of mono-implicit Runge-Kutta-Nyström methods by mono-implicit Runge-Kutta methods. Zbl 0898.65047 De Meyer, H.; Vanden Berghe, G.; Van Hecke, T.; Van Daele, M.	8	1997
Positivity of exponential Runge-Kutta methods. Zbl 1125.65068 Ostermann, Alexander; van Daele, Marnix	8	2007
Efficient numerical solution of the one-dimensional Schrödinger eigenvalue problem using Magnus integrators. Zbl 1208.65114 Ledoux, Veerle; van Daele, Marnix; Berghe, Guido Vanden	7	2010
A numerical procedure to solve the multichannel Schrödinger eigenvalue problem. Zbl 1196.81108 Ledoux, V.; Van Daele, M.; Vanden Berghe, G.	7	2007
Solution of Sturm-Liouville problems using modified Neumann schemes. Zbl 1208.65106 Ledoux, Veerle; Van Daele, Marnix	7	2010
Deferred correction with mono-implicit Runge-Kutta methods for first-order IVPs. Zbl 0945.65079 Van Daele, M.; Van Hecke, T.; Vanden Berghe, G.; De Meyer, H.	7	1999
Interpolatory quadrature rules for oscillatory integrals. Zbl 1259.65223 Ledoux, Veerle; Van Daele, Marnix	6	2012
Exponentially-fitted methods and their stability functions. Zbl 1246.65113 Hollevoet, D.; Van Daele, M.	6	2012
A general theory of stabilized extended one-step methods for ODEs. Zbl 1001.65518 van Daele, M.; vanden Berghe, G.; de Meyer, H.	6	1996
A mono-implicit Runge-Kutta-Nyström modification of the Numerov method. Zbl 0876.65054 Van Hecke, T.; Van Daele, M.; Vanden Berghe, G.; De Meyer, H.	6	1997
Exponentially fitted methods for solving time fractional nonlinear reaction-diffusion equation. Zbl 1429.65206 Zahra, W. K.; Nasr, M. A.; Van Daele, M.	5	2019
Solving Sturm-Liouville problems by piecewise perturbation methods, revisited. Zbl 1219.65075 Ledoux, V.; Van Daele, M.	5	2010
Trigonometric polynomial or exponential fitting approach? Zbl 1177.65040 Vanden Berghe, G.; Van Daele, M.	5	2009
Modified Newton-Cotes formulae for numerical quadrature of oscillatory integrals with two independent variable frequencies. Zbl 0765.65025 Van Daele, M.; De Meyer, H.; Vanden Berghe, G.	5	1992
Accurate high-lying eigenvalues of Schrödinger and Sturm-Liouville problems. Zbl 0959.65500 Vanden Berghe, G.; Van Daele, M.; De Meyer, H.	5	1994
The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian. Zbl 1348.35212 Ledoux, V.; Van Daele, M.	4	2014
Explicit Runge-Kutta methods for stiff problems with a gap in their eigenvalue spectrum. Zbl 1404.65054 Bocher, Philippe; Montijano, Juan I.; Rández, Luis; Van Daele, Marnix	4	2018
\(CPM\{P,N\}\) methods extended for the solution of coupled channel Schrödinger equations. Zbl 1196.65115 Ledoux, V.; Van Daele, M.; Vanden Berghe, G.	4	2006
Five-diagonal finite difference methods based on mixed-type interpolation for a certain fourth-order two-point boundary-value problem. Zbl 0770.65053 Van Daele, M.; Vanden Berghe, G.; De Meyer, H.	4	1992
A variable-step variable-order algorithm for systems of stiff ODEs. Zbl 0871.65076 Van Hecke, T.; Vanden Berghe, G.; Van Daele, M.; De Meyer, H.	4	1997
Functionally fitted explicit two step peer methods. Zbl 1326.65090 Montijano, J. I.; Rández, L.; van Daele, M.; Calvo, M.	4	2015
Superconvergent deferred correction methods for first order systems of nonlinear two-point boundary value problems. Zbl 0981.65088 Van Daele, Marnix; Cash, Jeff R.	3	2000
A modified Numerov integration method for general second order initial value problems. Zbl 0738.65060 Van Daele, M.; De Meyer, H.; Vanden Berghe, G.	3	1991
Eigenvalue problem for a coupled channel Schrödinger equation with application to the description of deformed nuclear systems. Zbl 1165.65046 Ledoux, V.; Rizea, M.; van Daele, M.; vanden Berghe, G.; Silişteanu, I.	2	2009
Discrete spline solution of singularly perturbed problem with two small parameters on a Shishkin-type mesh. Zbl 1397.65112 Zahra, W. K.; Van Daele, M.	2	2018
Symplectic exponentiality-fitted modified Runge-Kutta methods of the Gauss type: Revisited. Zbl 1216.65092 Vanden Berghe, G.; Van Daele, M.	2	2011
A five-diagonal finite-difference method based on mixed-type interpolation for computing eigenvalues of fourth-order two-point boundary-value problems. Zbl 0759.65055 Vanden Berghe, G.; Van Daele, M.; De Meyer, H.	2	1992
Exact solutions for radial Schrödinger equations. Zbl 0835.34002 Vanden Berghe, G.; De Meyer, H.; van Daele, M.	2	1995
Multistride \(L\)-stable fourth-order methods for the numerical solution of ODEs. Zbl 0866.65052 De Meyer, H.; Van Hecke, T.; Vanden Berghe, G.; Van Daele, M.	2	1996
CP methods and the evaluation of negative energy Coulomb Whittaker functions. Zbl 1074.65077 Ledoux, V.; Van Daele, M.; Vanden Berghe, G.	2	2005
The fast and accurate computation of eigenvalues and eigenfunctions of time-independent one-dimensional Schrödinger equations. Zbl 1520.65059 Baeyens, Toon; Van Daele, Marnix	2	2021
On the leading error term of exponentially fitted Numerov methods. Zbl 1167.65405 Hollevoet, D.; Van Daele, M.; Vanden Berghe, G.	1	2008
Exponentially-fitted methods applied to fourth-order boundary value problems. Zbl 1167.65410 Van Daele, M.; Hollevoet, D.; Vanden Berghe, G.	1	2008
Improvements to the computation of eigenvalues and eigenfunctions of two-dimensional Schrödinger equations by constant perturbation based algorithms. Zbl 1502.65178 Baeyens, Toon; Van Daele, Marnix	1	2022
On CP, LP and other piecewise perturbation methods for the numerical solution of the Schrödinger equation. Zbl 1291.65234 Ledoux, Veerle; Van Daele, Marnix	1	2011
Exponentially-fitted geometric numerical integration. Zbl 1088.65557 Vanden Berghe, G.; Van Daele, M.	1	2005
Numerical integration based on mixed-typ interpolation for a fourth-order boundary-value problem. Zbl 0802.65092 Van Daele, M.; Vanden Berghe, G.; De Meyer, H.	1	1994
High-order convergent deferred correlation schemes based on parameterized Runge-Kutta-Nyström methods for second-order boundary value problems. Zbl 0991.65064 Van Hecke, T.; Van Daele, M.	1	2001
On the implementation of parallel iterated Runge-Kutta methods on a transputer network. Zbl 0786.65059 De Meyer, H.; Van Daele, M.; Vanden Berghe, G.	1	1993
A highly stable deferred correction scheme with interpolant for systems of nonlinear two-point boundary value problems. Zbl 1019.65052 Cash, J. R.; Moore, D. R.; Sumarti, N.; Van Daele, M.	1	2003
Multiparameter exponentially-fitted methods applied to second-order boundary value problems. Zbl 1182.65125 Van Daele, M.; Hollevoet, D.; Vanden Berghe, G.	1	2009
P-stable mono-implicit Runge-Kutta-Nyström modifications of the Numerov method. Zbl 1540.65213 Van Hecke, T.; Van Daele, M.; Vanden Berghe, G.; De Meyer, H.	1	1997
Improvements to the computation of eigenvalues and eigenfunctions of two-dimensional Schrödinger equations by constant perturbation based algorithms. Zbl 1502.65178 Baeyens, Toon; Van Daele, Marnix	1	2022
The fast and accurate computation of eigenvalues and eigenfunctions of time-independent one-dimensional Schrödinger equations. Zbl 1520.65059 Baeyens, Toon; Van Daele, Marnix	2	2021
Exponentially fitted methods for solving time fractional nonlinear reaction-diffusion equation. Zbl 1429.65206 Zahra, W. K.; Nasr, M. A.; Van Daele, M.	5	2019
Explicit Runge-Kutta methods for stiff problems with a gap in their eigenvalue spectrum. Zbl 1404.65054 Bocher, Philippe; Montijano, Juan I.; Rández, Luis; Van Daele, Marnix	4	2018
Discrete spline solution of singularly perturbed problem with two small parameters on a Shishkin-type mesh. Zbl 1397.65112 Zahra, W. K.; Van Daele, M.	2	2018
Discrete spline methods for solving two point fractional Bagley-Torvik equation. Zbl 1411.65098 Zahra, W. K.; Van Daele, M.	20	2017
Matslise 2.0: a Matlab toolbox for Sturm-Liouville computations. Zbl 1369.65094 Ledoux, Veerle; Van Daele, Marnix	13	2016
Functionally fitted explicit two step peer methods. Zbl 1326.65090 Montijano, J. I.; Rández, L.; van Daele, M.; Calvo, M.	4	2015
The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian. Zbl 1348.35212 Ledoux, V.; Van Daele, M.	4	2014
Interpolatory quadrature rules for oscillatory integrals. Zbl 1259.65223 Ledoux, Veerle; Van Daele, Marnix	6	2012
Exponentially-fitted methods and their stability functions. Zbl 1246.65113 Hollevoet, D.; Van Daele, M.	6	2012
Exponentially fitted methods applied to fourth-order boundary value problems. Zbl 1225.65075 Hollevoet, D.; Van Daele, M.; Vanden Berghe, G.	14	2011
Symplectic exponentially-fitted four-stage Runge-Kutta methods of the Gauss type. Zbl 1215.65130 Vanden Berghe, Guido; Van Daele, Marnix	11	2011
On the derivation of explicit two-step peer methods. Zbl 1215.65120 Calvo, M.; Montijano, J. I.; Rández, L.; Van Daele, M.	8	2011
Symplectic exponentiality-fitted modified Runge-Kutta methods of the Gauss type: Revisited. Zbl 1216.65092 Vanden Berghe, G.; Van Daele, M.	2	2011
On CP, LP and other piecewise perturbation methods for the numerical solution of the Schrödinger equation. Zbl 1291.65234 Ledoux, Veerle; Van Daele, Marnix	1	2011
Efficient numerical solution of the one-dimensional Schrödinger eigenvalue problem using Magnus integrators. Zbl 1208.65114 Ledoux, Veerle; van Daele, Marnix; Berghe, Guido Vanden	7	2010
Solution of Sturm-Liouville problems using modified Neumann schemes. Zbl 1208.65106 Ledoux, Veerle; Van Daele, Marnix	7	2010
Solving Sturm-Liouville problems by piecewise perturbation methods, revisited. Zbl 1219.65075 Ledoux, V.; Van Daele, M.	5	2010
The optimal exponentially-fitted Numerov method for solving two-point boundary value problems. Zbl 1167.65406 Hollevoet, D.; Van Daele, M.; Vanden Berghe, G.	65	2009
Exponentially-fitted Obrechkoff methods for second-order differential equations. Zbl 1166.65352 Vanden Berghe, G.; Van Daele, M.	55	2009
Efficient computation of high index Sturm-Liouville eigenvalues for problems in physics. Zbl 1198.65124 Ledoux, V.; Van Daele, M.; Vanden Berghe, Guido	10	2009
Trigonometric polynomial or exponential fitting approach? Zbl 1177.65040 Vanden Berghe, G.; Van Daele, M.	5	2009
Eigenvalue problem for a coupled channel Schrödinger equation with application to the description of deformed nuclear systems. Zbl 1165.65046 Ledoux, V.; Rizea, M.; van Daele, M.; vanden Berghe, G.; Silişteanu, I.	2	2009
Multiparameter exponentially-fitted methods applied to second-order boundary value problems. Zbl 1182.65125 Van Daele, M.; Hollevoet, D.; Vanden Berghe, G.	1	2009
Finite difference approach for the two-dimensional Schrödinger equation with application to scission-neutron emission. Zbl 1197.81041 Rizea, M.; Ledoux, V.; Van Daele, M.; Vanden Berghe, G.; Carjan, N.	50	2008
On the leading error term of exponentially fitted Numerov methods. Zbl 1167.65405 Hollevoet, D.; Van Daele, M.; Vanden Berghe, G.	1	2008
Exponentially-fitted methods applied to fourth-order boundary value problems. Zbl 1167.65410 Van Daele, M.; Hollevoet, D.; Vanden Berghe, G.	1	2008
P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations. Zbl 1134.65043 Van Daele, M.; Vanden Berghe, G.	67	2007
\(P\)-stable Obrechkoff methods of arbitrary order for second-order differential equations. Zbl 1123.65070 Van Daele, Marnix; Vanden Berghe, Guido	53	2007
Exponentially-fitted Numerov methods. Zbl 1110.65071 Vanden Berghe, G.; Van Daele, M.	26	2007
Geometric numerical integration by means of exponentially-fitted methods. Zbl 1116.65125 Van Daele, M.; Vanden Berghe, G.	18	2007
Positivity of exponential Runge-Kutta methods. Zbl 1125.65068 Ostermann, Alexander; van Daele, Marnix	8	2007
A numerical procedure to solve the multichannel Schrödinger eigenvalue problem. Zbl 1196.81108 Ledoux, V.; Van Daele, M.; Vanden Berghe, G.	7	2007
Exponentially-fitted Störmer/Verlet methods. Zbl 1127.65050 Vanden Berghe, G.; Van Daele, M.	18	2006
Solution of the Schrödinger equation by a high order perturbation method based on a linear reference potential. Zbl 1196.81127 Ledoux, V.; Rizea, M.; Ixaru, L.; Vanden Berghe, G.; Van Daele, M.	13	2006
Solution of the Schrödinger equation over an infinite integration interval by perturbation methods, revisited. Zbl 1196.81126 Ledoux, V.; Ixaru, L. Gr.; Rizea, M.; Van Daele, M.; Vanden Berghe, G.	10	2006
\(CPM\{P,N\}\) methods extended for the solution of coupled channel Schrödinger equations. Zbl 1196.65115 Ledoux, V.; Van Daele, M.; Vanden Berghe, G.	4	2006
MATSLISE: a MATLAB package for the numerical solution of Sturm-Liouville and Schrödinger equations. Zbl 1136.65327 Ledoux, Veerle; Van Daele, Marnix; Vanden Berghe, Guido	54	2005
Exponentially fitted quadrature rules of Gauss type for oscillatory integrands. Zbl 1069.65022 Van Daele, M.; Vanden Berghe, G.; Vande Vyver, H.	10	2005
CP methods and the evaluation of negative energy Coulomb Whittaker functions. Zbl 1074.65077 Ledoux, V.; Van Daele, M.; Vanden Berghe, G.	2	2005
Exponentially-fitted geometric numerical integration. Zbl 1088.65557 Vanden Berghe, G.; Van Daele, M.	1	2005
CP methods of higher order for Sturm-Liouville and Schrödinger equations. Zbl 1196.65131 Ledoux, V.; Van Daele, M.; Vanden Berghe, Guido	18	2004
Extended one-step methods: An exponential fitting approach. Zbl 1063.65063 Van Daele, M.; Vanden Berghe, G.	10	2004
Exponentially-fitted algorithms: fixed or frequency dependent knot points? Zbl 1070.65020 Vanden Berghe, G.; Van Daele, M.; Vande Vyver, H.	10	2004
Exponential fitted Runge-Kutta methods of collocation type: Fixed or variable knot points? Zbl 1031.65084 Vanden Berghe, G.; Van Daele, M.; Vande Vyver, H.	38	2003
A highly stable deferred correction scheme with interpolant for systems of nonlinear two-point boundary value problems. Zbl 1019.65052 Cash, J. R.; Moore, D. R.; Sumarti, N.; Van Daele, M.	1	2003
Optimal implicit exponentially-fitted Runge-Kutta methods. Zbl 0990.65080 Vanden Berghe, G.; Ixaru, L. Gr.; Van Daele, M.	31	2001
High-order convergent deferred correlation schemes based on parameterized Runge-Kutta-Nyström methods for second-order boundary value problems. Zbl 0991.65064 Van Hecke, T.; Van Daele, M.	1	2001
Exponentially fitted Runge-Kutta methods. Zbl 0999.65065 Vanden Berghe, G.; De Meyer, H.; Van Daele, M.; Van Hecke, T.	79	2000
Superconvergent deferred correction methods for first order systems of nonlinear two-point boundary value problems. Zbl 0981.65088 Van Daele, Marnix; Cash, Jeff R.	3	2000
Exponentially-fitted explicit Runge-Kutta methods. Zbl 0948.65066 Vanden Berghe, G.; De Meyer, H.; Van Daele, M.; Van Hecke, T.	107	1999
Deferred correction with mono-implicit Runge-Kutta methods for first-order IVPs. Zbl 0945.65079 Van Daele, M.; Van Hecke, T.; Vanden Berghe, G.; De Meyer, H.	7	1999
Exponential-fitted four-step methods for \(y''=f(x,y)\). Zbl 0894.65032 Van Daele, M.; Vanden Berghe, G.; De Meyer, H.; Ixaru, L. Gr.	51	1998
On a class of \(P\)-stable mono-implicit Runge-Kutta-Nyström methods. Zbl 0937.65085 Van Daele, M.; De Meyer, H.; Van Hecke, T.; Vanden Berghe, G.	9	1998
Four-step exponential-fitted methods for nonlinear physical problems. Zbl 0927.65100 Ixaru, L. Gr.; Vanden Berghe, G.; De Meyer, H.; Van Daele, M.	59	1997
EXPFIT4 – a FORTRAN program for the numerical solution of systems of nonlinear second-order initial-value problems. Zbl 0927.65099 Ixaru, L. Gr.; De Meyer, H.; Vanden Berghe, G.; Van Daele, M.	57	1997
On the generation of mono-implicit Runge-Kutta-Nyström methods by mono-implicit Runge-Kutta methods. Zbl 0898.65047 De Meyer, H.; Vanden Berghe, G.; Van Hecke, T.; Van Daele, M.	8	1997
A mono-implicit Runge-Kutta-Nyström modification of the Numerov method. Zbl 0876.65054 Van Hecke, T.; Van Daele, M.; Vanden Berghe, G.; De Meyer, H.	6	1997
A variable-step variable-order algorithm for systems of stiff ODEs. Zbl 0871.65076 Van Hecke, T.; Vanden Berghe, G.; Van Daele, M.; De Meyer, H.	4	1997
P-stable mono-implicit Runge-Kutta-Nyström modifications of the Numerov method. Zbl 1540.65213 Van Hecke, T.; Van Daele, M.; Vanden Berghe, G.; De Meyer, H.	1	1997
A regularization procedure for \(\sum^ n_{i=1} f_ i (z_ j) x_ i= g(z_ j)\), \((j=1,2,\dots,n)\). Zbl 0841.65021 Ixaru, L. Gr.; de Meyer, H.; Vanden Berghe, G.; Van Daele, M.	9	1996
A general theory of stabilized extended one-step methods for ODEs. Zbl 1001.65518 van Daele, M.; vanden Berghe, G.; de Meyer, H.	6	1996
Multistride \(L\)-stable fourth-order methods for the numerical solution of ODEs. Zbl 0866.65052 De Meyer, H.; Van Hecke, T.; Vanden Berghe, G.; Van Daele, M.	2	1996
Properties and implementation of \(r\)-Adams methods based on mixed-type interpolation. Zbl 0837.65079 Van Daele, M.; Vanden Berghe, G.; De Meyer, H.	50	1995
A modified difference scheme for periodic and semiperiodic Sturm- Liouville problems. Zbl 0834.65075 Vanden Berghe, G.; Van Daele, M.; De Meyer, H.	9	1995
Exact solutions for radial Schrödinger equations. Zbl 0835.34002 Vanden Berghe, G.; De Meyer, H.; van Daele, M.	2	1995
A smooth approximation for the solution of a fourth-order boundary value problem based on nonpolynomial splines. Zbl 0810.65079 van Daele, M.; Vanden Berghe, G.; de Meyer, H.	23	1994
Accurate high-lying eigenvalues of Schrödinger and Sturm-Liouville problems. Zbl 0959.65500 Vanden Berghe, G.; Van Daele, M.; De Meyer, H.	5	1994
Numerical integration based on mixed-typ interpolation for a fourth-order boundary-value problem. Zbl 0802.65092 Van Daele, M.; Vanden Berghe, G.; De Meyer, H.	1	1994
On the implementation of parallel iterated Runge-Kutta methods on a transputer network. Zbl 0786.65059 De Meyer, H.; Van Daele, M.; Vanden Berghe, G.	1	1993
A parallel approach to the modified Numerov-like eigenvalue determination for Sturm-Liouville problems. Zbl 0773.65066 Vanden Berghe, G.; De Meyer, H.; Van Daele, M.	11	1992
Modified Newton-Cotes formulae for numerical quadrature of oscillatory integrals with two independent variable frequencies. Zbl 0765.65025 Van Daele, M.; De Meyer, H.; Vanden Berghe, G.	5	1992
Five-diagonal finite difference methods based on mixed-type interpolation for a certain fourth-order two-point boundary-value problem. Zbl 0770.65053 Van Daele, M.; Vanden Berghe, G.; De Meyer, H.	4	1992
A five-diagonal finite-difference method based on mixed-type interpolation for computing eigenvalues of fourth-order two-point boundary-value problems. Zbl 0759.65055 Vanden Berghe, G.; Van Daele, M.; De Meyer, H.	2	1992
A modified Numerov integration method for general second order initial value problems. Zbl 0738.65060 Van Daele, M.; De Meyer, H.; Vanden Berghe, G.	3	1991

all cited Publications top 5 cited Publications

all top 5

Cited by 502 Authors

90	Simos, Theodore E.
48	Van Daele, Marnix
36	Vanden Berghe, Guido
28	Fang, Yonglei
27	Ixaru, Liviu Gr.
26	Paternoster, Beatrice
25	You, Xiong
20	Lin, Chialiang
20	Wu, Xinyuan
19	De Meyer, Hans E.
16	Franco, J. Méndez
16	Rández, Luis
14	D’Ambrosio, Raffaele
14	Van de Vyver, Hans
13	Ledoux, Veerle
12	Conte, Dajana
11	Kravchenko, Vladislav Viktorovich
11	Medvedeva, Marina A.
10	Anastassi, Zacharias A.
10	Jator, Samuel N.
10	Montijano, Juan Ignacio
10	Van Hecke, Tanja
9	Calvo, Manuel
8	Kalogiratou, Zacharoula
8	Magherini, Cecilia
8	Ramos, Higinio
8	Zahra, Waheed K.
7	Li, Jiyong
7	Li, Qinghong
7	Medvedev, Maxim A.
7	Torba, Sergii M.
7	Vigo-Aguiar, Jesus
7	Yang, Yanping
6	Ghelardoni, Paolo
6	Kim, Kyung Joong
6	Vlachos, Dimitrios
6	Wang, Bin
5	Aceto, Lidia
5	Chen, Zhaoxia
5	Ismail, Fudziah Bt.
5	Jalilian, Reza
5	Ming, Qinghe
5	Ngwane, Fidele F.
5	Qian, Xu
5	Song, Songhe
5	Sun, Bin
5	Weiner, Rüdiger
5	Zhang, Hong
5	Zheng, Juan
4	Akram, Ghazala
4	Băleanu, Dumitru I.
4	Chen, Bingzhen
4	Ehigie, Julius Osato
4	El-Daou, Mohamed K.
4	Esposito, Elena
4	Khalsaraei, Mohammad Mehdizadeh
4	Liu, Shiwei
4	Martín-Vaquero, Jesús
4	Monovasilis, Theodoros
4	Okunuga, Solomon A.
4	Rizea, M.
4	Senu, Norazak
4	Tsitouras, Charalampos
4	Yang, Hongli
4	Zhai, Wenjuan
3	Abdulganiy, Ridwanulahi Iyanda
3	Amodio, Pierluigi
3	Baeyens, Toon
3	Brugnano, Luigi
3	Cong, Nguyen Huu
3	El-Danaf, Talaat S. Aly
3	Erdoğan, Utku
3	Frasca-Caccia, Gianluca
3	Hollevoet, D.
3	Konguetsof, Avrilia
3	Liu, Chein-Shan
3	Moccaldi, Martina
3	Pagano, Giovanni
3	Podhaisky, Helmut
3	Ramadan, Mohamed Abdel-Latif
3	Siddiqi, Shahid Saeed
3	Sidje, Roger B.
3	Siraj-ul-Islam
3	Taşeli, Hasan
3	Tirmizi, Ikram A.
3	Wang, Zenggui
3	Zhang, Ruqiang
2	Akinfenwa, Olusheye Aremu Akin
2	Alici, Haydar
2	Andrew, Alan L.
2	Avdonin, Sergeĭ Anatol’evich
2	Aydemir, Kadriye
2	Beck, Steffen
2	Biazar, Jafar
2	Bockmann, Christine
2	Cardone, Angelamaria
2	Cash, Jeff R.
2	Castillo Pérez, Raúl
2	Chen, Zhanqing
2	Cools, Ronald
...and 402 more Authors

all top 5

Cited in 103 Serials

82	Journal of Computational and Applied Mathematics
81	Journal of Mathematical Chemistry
55	Computer Physics Communications
50	Applied Mathematics and Computation
30	Applied Numerical Mathematics
22	Numerical Algorithms
15	International Journal of Computer Mathematics
12	Mathematical Methods in the Applied Sciences
9	Computers & Mathematics with Applications
8	Journal of Computational Physics
7	BIT
7	Mathematics and Computers in Simulation
7	Journal of Scientific Computing
7	Communications in Nonlinear Science and Numerical Simulation
6	Computational and Applied Mathematics
5	Physics Letters. A
5	Journal of Applied Mathematics
4	Applied Mathematics Letters
4	Mathematical and Computer Modelling
4	Mathematical Problems in Engineering
4	International Journal of Applied and Computational Mathematics
3	Nonlinear Dynamics
3	Abstract and Applied Analysis
3	International Journal of Modern Physics C
3	Journal of Applied Mathematics and Computing
3	Advances in Difference Equations
3	Boundary Value Problems
2	Applicable Analysis
2	Chaos, Solitons and Fractals
2	Numerische Mathematik
2	SIAM Journal on Numerical Analysis
2	Japan Journal of Industrial and Applied Mathematics
2	Turkish Journal of Mathematics
2	Advances in Computational Mathematics
2	Mathematical Communications
2	Discrete Dynamics in Nature and Society
2	Mediterranean Journal of Mathematics
2	European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2	International Journal of Differential Equations
2	Afrika Matematika
2	Open Mathematics
1	Computer Methods in Applied Mechanics and Engineering
1	Geophysical and Astrophysical Fluid Dynamics
1	International Journal of Theoretical Physics
1	Journal of Fluid Mechanics
1	Journal of Mathematical Physics
1	Mathematical Biosciences
1	Mathematical Notes
1	Moscow University Mechanics Bulletin
1	Physics Reports
1	ZAMP. Zeitschrift für angewandte Mathematik und Physik
1	Molecular Simulation
1	Mathematics of Computation
1	ACM Transactions on Mathematical Software
1	Calcolo
1	Fasciculi Mathematici
1	International Journal of Mathematics and Mathematical Sciences
1	Journal of Approximation Theory
1	Rendiconti del Circolo Matemàtico di Palermo. Serie II
1	Applied Mathematics and Mechanics. (English Edition)
1	Journal of the Nigerian Mathematical Society
1	Numerical Methods for Partial Differential Equations
1	Computational Mathematics and Modeling
1	Applications of Mathematics
1	Advances in Engineering Software
1	SIAM Journal on Scientific Computing
1	Numerical Linear Algebra with Applications
1	International Journal of Numerical Methods for Heat & Fluid Flow
1	Journal of the Egyptian Mathematical Society
1	Journal of Inverse and Ill-Posed Problems
1	Engineering Analysis with Boundary Elements
1	Discrete and Continuous Dynamical Systems
1	Journal of Inequalities and Applications
1	Fractional Calculus & Applied Analysis
1	Statistical Inference for Stochastic Processes
1	Journal of the European Mathematical Society (JEMS)
1	Communications of the Korean Mathematical Society
1	Qualitative Theory of Dynamical Systems
1	Mathematical Modelling and Analysis
1	Journal of Numerical Mathematics
1	ANACM. Applied Numerical Analysis and Computational Mathematics
1	International Journal of Numerical Analysis and Modeling
1	Computational & Mathematical Methods in Medicine
1	Communications in Computational Physics
1	Inverse Problems and Imaging
1	International Journal for Computational Methods in Engineering Science and Mechanics
1	Asian-European Journal of Mathematics
1	Advances in Mathematical Physics
1	Journal of Spectral Theory
1	Iranian Journal of Mathematical Chemistry
1	Analysis and Mathematical Physics
1	Numerical Algebra, Control and Optimization
1	Mathematical Sciences
1	Mathematics
1	Journal of Linear and Topological Algebra
1	Journal of Function Spaces
1	JAMM. Journal of Advanced Mathematical Modeling
1	Computational Methods for Differential Equations
1	Cogent Mathematics
1	Moroccan Journal of Pure and Applied Analysis
...and 3 more Serials

all top 5

Cited in 34 Fields

479	Numerical analysis (65-XX)
243	Ordinary differential equations (34-XX)
74	Quantum theory (81-XX)
54	Partial differential equations (35-XX)
24	Dynamical systems and ergodic theory (37-XX)
17	Approximations and expansions (41-XX)
13	Harmonic analysis on Euclidean spaces (42-XX)
10	Mechanics of particles and systems (70-XX)
8	Biology and other natural sciences (92-XX)
7	Operator theory (47-XX)
7	Mechanics of deformable solids (74-XX)
6	Real functions (26-XX)
6	Fluid mechanics (76-XX)
5	Special functions (33-XX)
5	Calculus of variations and optimal control; optimization (49-XX)
4	Computer science (68-XX)
4	Classical thermodynamics, heat transfer (80-XX)
4	Statistical mechanics, structure of matter (82-XX)
3	Functional analysis (46-XX)
2	Functions of a complex variable (30-XX)
2	Optics, electromagnetic theory (78-XX)
2	Geophysics (86-XX)
1	Mathematical logic and foundations (03-XX)
1	Combinatorics (05-XX)
1	Linear and multilinear algebra; matrix theory (15-XX)
1	Measure and integration (28-XX)
1	Difference and functional equations (39-XX)
1	Integral transforms, operational calculus (44-XX)
1	Integral equations (45-XX)
1	Probability theory and stochastic processes (60-XX)
1	Statistics (62-XX)
1	Astronomy and astrophysics (85-XX)
1	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1	Information and communication theory, circuits (94-XX)

Van Daele, Marnix

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Publications by Year

Citations contained in zbMATH Open

Cited by 502 Authors

Cited in 103 Serials

Cited in 34 Fields

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