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Author ID: van-daele.marnix Recent zbMATH articles by "Van Daele, Marnix"
Published as: Van Daele, M.; Van Daele, Marnix; van Daele, M.; van Daele, Marnix

Publications by Year

Citations contained in zbMATH Open

75 Publications have been cited 1,193 times in 526 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.
106
1999
Exponentially fitted Runge-Kutta methods. Zbl 0999.65065
Vanden Berghe, G.; De Meyer, H.; Van Daele, M.; Van Hecke, T.
78
2000
P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations. Zbl 1134.65043
Van Daele, M.; Vanden Berghe, G.
63
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.
61
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.
55
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.
53
1997
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
53
2005
Exponentially-fitted Obrechkoff methods for second-order differential equations. Zbl 1166.65352
Vanden Berghe, G.; Van Daele, M.
51
2009
\(P\)-stable Obrechkoff methods of arbitrary order for second-order differential equations. Zbl 1123.65070
Van Daele, Marnix; Vanden Berghe, Guido
49
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.
47
1998
Properties and implementation of \(r\)-Adams methods based on mixed-type interpolation. Zbl 0837.65079
Van Daele, M.; Vanden Berghe, G.; De Meyer, H.
46
1995
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.
46
2008
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.
25
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.
22
1994
Discrete spline methods for solving two point fractional Bagley-Torvik equation. Zbl 1411.65098
Zahra, W. K.; Van Daele, M.
20
2017
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
CP methods of higher order for Sturm-Liouville and Schrödinger equations. Zbl 1196.65131
Ledoux, V.; Van Daele, M.; Vanden Berghe, Guido
18
2004
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
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
Symplectic exponentially-fitted four-stage Runge-Kutta methods of the Gauss type. Zbl 1215.65130
Vanden Berghe, Guido; Van Daele, Marnix
11
2011
Exponentially-fitted algorithms: fixed or frequency dependent knot points? Zbl 1070.65020
Vanden Berghe, G.; Van Daele, M.; Vande Vyver, H.
10
2004
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
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
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
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
Positivity of exponential Runge-Kutta methods. Zbl 1125.65068
Ostermann, Alexander; van Daele, Marnix
8
2007
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
On the derivation of explicit two-step peer methods. Zbl 1215.65120
Calvo, M.; Montijano, J. I.; Rández, L.; Van Daele, M.
8
2011
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
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
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
Exponentially-fitted methods and their stability functions. Zbl 1246.65113
Hollevoet, D.; Van Daele, M.
6
2012
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
Interpolatory quadrature rules for oscillatory integrals. Zbl 1259.65223
Ledoux, Veerle; Van Daele, Marnix
6
2012
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
Trigonometric polynomial or exponential fitting approach? Zbl 1177.65040
Vanden Berghe, G.; Van Daele, M.
5
2009
Solving Sturm-Liouville problems by piecewise perturbation methods, revisited. Zbl 1219.65075
Ledoux, V.; Van Daele, M.
5
2010
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
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
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
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
The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian. Zbl 1348.35212
Ledoux, V.; Van Daele, M.
4
2014
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
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
CP methods and the evaluation of negative energy Coulomb Whittaker functions. Zbl 1074.65077
Ledoux, V.; Van Daele, M.; Vanden Berghe, G.
2
2005
Exact solutions for radial Schrödinger equations. Zbl 0835.34002
Vanden Berghe, G.; De Meyer, H.; van Daele, M.
2
1995
Symplectic exponentiality-fitted modified Runge-Kutta methods of the Gauss type: Revisited. Zbl 1216.65092
Vanden Berghe, G.; Van Daele, M.
2
2011
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
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
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
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
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
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
Exponentially-fitted geometric numerical integration. Zbl 1088.65557
Vanden Berghe, G.; Van Daele, M.
1
2005
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
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.
1
2018
Multiparameter exponentially-fitted methods applied to second-order boundary value problems. Zbl 1182.65125
Van Daele, M.; Hollevoet, D.; Vanden Berghe, G.
1
2009
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
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.
1
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
Exponentially-fitted methods and their stability functions. Zbl 1246.65113
Hollevoet, D.; Van Daele, M.
6
2012
Interpolatory quadrature rules for oscillatory integrals. Zbl 1259.65223
Ledoux, Veerle; Van Daele, Marnix
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.
61
2009
Exponentially-fitted Obrechkoff methods for second-order differential equations. Zbl 1166.65352
Vanden Berghe, G.; Van Daele, M.
51
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.
46
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.
63
2007
\(P\)-stable Obrechkoff methods of arbitrary order for second-order differential equations. Zbl 1123.65070
Van Daele, Marnix; Vanden Berghe, Guido
49
2007
Exponentially-fitted Numerov methods. Zbl 1110.65071
Vanden Berghe, G.; Van Daele, M.
25
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
53
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
Exponentially-fitted algorithms: fixed or frequency dependent knot points? Zbl 1070.65020
Vanden Berghe, G.; Van Daele, M.; Vande Vyver, H.
10
2004
Extended one-step methods: An exponential fitting approach. Zbl 1063.65063
Van Daele, M.; Vanden Berghe, G.
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.
78
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.
106
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.
47
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.
55
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.
53
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
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.
46
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.
22
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
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Cited by 484 Authors

86 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 Wu, Xinyuan
19 De Meyer, Hans E.
18 Lin, Chialiang
16 Franco, J. Méndez
16 Rández, Luis
14 D’Ambrosio, Raffaele
14 Van de Vyver, Hans
13 Ledoux, Veerle
12 Conte, Dajana
10 Anastassi, Zacharias A.
10 Jator, Samuel N.
10 Kravchenko, Vladislav Viktorovich
10 Montijano, Juan Ignacio
10 Van Hecke, Tanja
9 Calvo, Manuel
9 Medvedeva, Marina A.
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 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 Sun, Bin
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 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 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
2 Deaño, Alfredo
2 Deng, Shuo
...and 384 more Authors
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Cited in 100 Serials

82 Journal of Computational and Applied Mathematics
77 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
11 Mathematical Methods in the Applied Sciences
9 Computers & Mathematics with Applications
7 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 Mathematical and Computer Modelling
4 Mathematical Problems in Engineering
4 International Journal of Applied and Computational Mathematics
3 Applied Mathematics Letters
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 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 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 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
1 Applied Mathematics and Nonlinear Sciences
1 AIMS Mathematics
1 Pure and Applied Analysis

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