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Vanden Berghe, Guido

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Author ID: vanden-berghe.guido Recent zbMATH articles by "Vanden Berghe, Guido"
Published as: Vanden Berghe, G.; Vanden Berghe, Guido; vanden Berghe, G.; Van den Berghe, G.; Berghe, Guido Vanden
External Links: Wikidata · GND
Documents Indexed: 154 Publications since 1976, including 5 Books
Reviewing Activity: 37 Reviews

Publications by Year

Citations contained in zbMATH Open

128 Publications have been cited 1,484 times in 592 Documents Cited by Year
Frequency evaluation in exponential fitting multistep algorithms for ODEs. Zbl 0996.65075
Ixaru, L. Gr.; Vanden Berghe, G.; De Meyer, H.
90
2002
Exponentially-fitted explicit Runge-Kutta methods. Zbl 0948.65066
Vanden Berghe, G.; De Meyer, H.; Van Daele, M.; Van Hecke, T.
88
1999
Exponential fitting. With CD-ROM. Zbl 1105.65082
Ixaru, Liviu Gr.; Vanden Berghe, Guido
72
2004
Exponentially fitted Runge-Kutta methods. Zbl 0999.65065
Vanden Berghe, G.; De Meyer, H.; Van Daele, M.; Van Hecke, T.
63
2000
On a new type of mixed interpolation. Zbl 0693.41003
De Meyer, H.; Vanthournout, J.; Vanden Berghe, G.
40
1990
Weights of the exponential fitting multistep algorithms for first-order ODEs. Zbl 0991.65061
Ixaru, L. Gr.; Rizea, M.; Vanden Berghe, G.; De Meyer, H.
37
2001
Exponentially fitted variable two-step BDF algorithm for first order ODEs. Zbl 1196.65110
Ixaru, L. Gr.; Vanden Berghe, Guido; De Meyer, Hans
37
2003
P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations. Zbl 1134.65043
Van Daele, M.; Vanden Berghe, G.
36
2007
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
33
2005
The optimal exponentially-fitted Numerov method for solving two-point boundary value problems. Zbl 1167.65406
Hollevoet, D.; Van Daele, M.; Vanden Berghe, G.
33
2009
On the error estimation for a mixed type of interpolation. Zbl 0725.41002
De Meyer, H.; Vanthournout, J.; Van den Berghe, G.
31
1990
Frequency determination and step-length control for exponentially-fitted Runge-Kutta methods. Zbl 0991.65062
Vanden Berghe, G.; Ixaru, L. Gr.; De Meyer, H.
30
2001
Four-step exponential-fitted methods for nonlinear physical problems. Zbl 0927.65100
Ixaru, L. Gr.; Vanden Berghe, G.; De Meyer, H.; Van Daele, M.
29
1997
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.
28
2003
Exponentially-fitted Obrechkoff methods for second-order differential equations. Zbl 1166.65352
Vanden Berghe, G.; Van Daele, M.
28
2009
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.
27
1997
\(P\)-stable Obrechkoff methods of arbitrary order for second-order differential equations. Zbl 1123.65070
Van Daele, Marnix; Vanden Berghe, Guido
27
2007
Optimal implicit exponentially-fitted Runge-Kutta methods. Zbl 0990.65080
Vanden Berghe, G.; Ixaru, L. Gr.; Van Daele, M.
25
2001
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.
24
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.
24
1995
A modified Numerov integration method for second order periodic initial- value problems. Zbl 0752.65059
Vanden Berghe, G.; De Meyer, H.; Vanthournout, J.
22
1990
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.
22
2008
On a class of modified Newton-Cotes quadrature formulae based upon mixed- type interpolation. Zbl 0729.41032
Vanden Berghe, G.; De Meyer, H.; Vanthournout, J.
21
1990
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.
19
1994
A finite difference approach for the calculation of perturbed oscillator energies. Zbl 0584.65055
Fack, V.; Vanden Berghe, G.
19
1985
Numerical methods for solving radial Schrödinger equations. Zbl 0694.65033
Vanden Berghe, G.; Fack, V.; De Meyer, H. E.
17
1989
Families of backward differentiation methods based on a new type of mixed interpolation. Zbl 0752.65060
Vanthournout, Jan; Vanden Berghe, Guido; De Meyer, Hans
17
1990
Exponentially-fitted Störmer/Verlet methods. Zbl 1127.65050
Vanden Berghe, G.; Van Daele, M.
17
2006
CP methods for the Schrödinger equation revisited. Zbl 0909.65045
Ixaru, L. Gr.; De Meyer, H.; Vanden Berghe, G.
14
1998
Accurate computation of higher Sturm-Liouville eigenvalues. Zbl 0716.65079
Vanden Berghe, G.; De Meyer, H.
14
1991
A modified Numerov method for higher Sturm-Liouville eigenvalues. Zbl 0726.65100
Vanden Berghe, G.; de Meyer, H.
14
1990
Exponentially-fitted Numerov methods. Zbl 1110.65071
Vanden Berghe, G.; Van Daele, M.
13
2007
Geometric numerical integration by means of exponentially-fitted methods. Zbl 1116.65125
Van Daele, M.; Vanden Berghe, G.
13
2007
A combinatorial Benders’ decomposition for the lock scheduling problem. Zbl 1348.90318
Verstichel, J.; Kinable, J.; De Causmaecker, P.; Vanden Berghe, G.
13
2015
SLCPM12 – a program for solving regular Sturm-Liouville problems. Zbl 1008.34016
Ixaru, L. Gr.; De Meyer, H.; Vanden Berghe, G.
12
1999
On a correction of Numerov-like eigenvalue approximations for Sturm- Liouville problems. Zbl 0753.65071
Vanden Berghe, G.; de Meyer, H.
11
1991
(Extended) Numerov method for computing eigenvalues of specific Schrödinger equations. Zbl 0626.65079
Fack, V.; Vanden Berghe, G.
11
1987
Some finite difference methods for computing eigenvalues and eigenvectors of special two-point boundary value problems. Zbl 0635.65101
Fack, V.; Vanden Berghe, G.; De Meyer, H. E.
11
1987
Approximate solution of singular integral equations. Zbl 1061.65141
Chakrabarti, A.; Vanden Berghe, G.
10
2004
CP methods of higher order for Sturm-Liouville and Schrödinger equations. Zbl 1196.65131
Ledoux, V.; Van Daele, M.; Vanden Berghe, Guido
10
2004
Shift-operator techniques for the classification of multipole-phonon states. I: Properties of shift operators in the \(R(5)\) group. Zbl 0444.22009
Vanden Berghe, G.; De Meyer, H. E.
9
1980
Dynamic-group approach to the \(x^ 2+\lambda x^ 2/(1+gx^ 2)\) potential. Zbl 0603.22007
Fack, V.; de Meyer, H.; Vanden Berghe, G.
9
1986
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.
9
1992
Extended one-step methods: An exponential fitting approach. Zbl 1063.65063
Van Daele, M.; Vanden Berghe, G.
8
2004
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 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.
8
1998
Shift-operator techniques for the classification of multipole-phonon states. II: Eigenvalues of the quadrupole shift operator \(O^0\). Zbl 0444.22010
De Meyer, H. E.; Vanden Berghe, G.
8
1980
Exponentially-fitted algorithms: fixed or frequency dependent knot points? Zbl 1070.65020
Vanden Berghe, G.; Van Daele, M.; Vande Vyver, H.
8
2004
Exponentially fitted quadrature rules of Gauss type for oscillatory integrands. Zbl 1069.65022
Van Daele, M.; Vanden Berghe, G.; Vande Vyver, H.
8
2005
Nonscalar extension of shift operator techniques for \(SU(3)\) in an \(O(3)\) basis. I. Theory. Zbl 0495.22015
De Meyer, H. E.; Vanden Berghe, G.; Hughes, J. W. B.
8
1981
Boson realization of the Lie algebra \(F_ 4\) and non-trivial zeros of \(6j\) symbols. Zbl 0537.22019
Van der Jeugt, Joris; Vanden Berghe, G.; De Meyer, H.
8
1983
Multistep methods for ordinary differential equations based on algebraic and first order trigonometric polynomials. Zbl 0768.65044
Vanthournout, J.; De Meyer, H.; Vanden Berghe, G.
8
1992
Efficient computation of high index Sturm-Liouville eigenvalues for problems in physics. Zbl 1198.65124
Ledoux, V.; Van Daele, M.; Vanden Berghe, Guido
8
2009
Symplectic exponentially-fitted four-stage Runge-Kutta methods of the Gauss type. Zbl 1215.65130
Vanden Berghe, Guido; Van Daele, Marnix
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
Shift operator techniques for the classification of multipole-phonon states. III: The quadrupole-phonon eigenstates of \(O^0\). Zbl 0444.22011
De Meyer, H. E.; Vanden Berghe, G.
7
1980
On Gregory-and modified Gregory-type corrections to Newton-Cotes quadrature. Zbl 0808.41020
Bocher, P.; de Meyer, H.; vanden Berghe, G.
7
1994
Realizations of \(F_ 4\) in \(\text{SO}(3)\otimes\text{SO}(3)\) bases and structural zeros of the \(6j\)-symbol. Zbl 0551.22008
De Meyer, Hans; Vanden Berghe, G.; Van der Jeugt, Joris
7
1984
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.
7
2006
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
Exponentially fitted methods applied to fourth-order boundary value problems. Zbl 1225.65075
Hollevoet, D.; Van Daele, M.; Vanden Berghe, G.
7
2011
An entry of Ramanujan on hypergeometric series in his Notebooks. Zbl 1068.33010
Srinivasa Rao, K.; Vanden Berghe, G.; Krattenthaler, C.
6
2005
A modified difference scheme for periodic and semiperiodic Sturm- Liouville problems. Zbl 0834.65075
Vanden Berghe, G.; Van Daele, M.; De Meyer, H.
6
1995
Shift operator techniques for the classification of multipole-phonon states. IV: Properties of shift operators in the \(G_2\) group. Zbl 0444.22012
Vanden Berghe, G.; De Meyer, H. E.
6
1980
Shift operator techniques for the classification of multipole-phonon states. VI: Properties of nonscalar \(R(3)\) product operators in the \(R(2\lambda +1)\) groups. Zbl 0444.22014
Vanden Berghe, G.; De Meyer, H. E.
6
1980
A finite-element estimate with trigonometric hat functions for Sturm- Liouville eigenvalues. Zbl 0815.65099
vanden Berghe, G.; de Meyer, H.
6
1994
Exponential fitting: applications for ODE-solvers. Zbl 1060.65622
Vanden Berghe, G.
6
2004
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
Nonscalar extension of shift operator techniques for \(SU(3)\) in an \(O(3)\) basis. II. Applications. Zbl 0495.22016
De Meyer, H. E.; Vanden Berghe, G.; Hughes, J. W. B.
6
1981
\(SO(2n+1)\) in an \(SO(2n-3)\times SU(2)\times SU(2)\) basis. II: Detailed study of the symmetric representations of the \(SO(7)\) group. Zbl 0502.22011
Vanden Berghe, G.; de Meyer, H.; de Wilde, P.
6
1982
Nonscalar extension of shift operator techniques for \(\text{SU}(3)\) in an \(\text{O}(3)\) basis. III: Shift operators of second degree in the tensor components. Zbl 0517.22021
Van der Jeugt, Joris; De Meyer, H. E.; Vanden Berghe, G.
6
1983
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.
6
2006
Modified Gregory formulae based on mixed interpolation. Zbl 1306.41010
Bocher, P.; De Meyer, H.; Vanden Berghe, G.
6
1994
Trigonometric polynomial or exponential fitting approach? Zbl 1177.65040
Vanden Berghe, G.; Van Daele, M.
5
2009
Shift operator techniques for the classification of multipole-phonon states. V: Properties of shift operators in the \(R(7)\) group. Zbl 0444.22013
De Meyer, H. E.; Vanden Berghe, G.
5
1980
Numerical solution of Volterra equations based on mixed interpolation. Zbl 0805.65142
Bocher, P.; De Meyer, H.; Vanden Berghe, G.
5
1994
On the spectra of \(\text{SO}(3)\) scalars in the enveloping algebra of \(\text{SU}(3)\). Zbl 0591.22012
De Meyer, Hans; Vanden Berghe, G.; Van der Jeugt, Joris
5
1985
Tensor operator realizations of \(E_ 6\) and structural zeros of the \(6j\)-symbol. Zbl 0558.17009
Vanden Berghe, G.; De Meyer, Hans; Van der Jeugt, Joris
5
1984
Special issue: Advances in computational and mathematical methods in science and engineering (CMMSE 2009). Selected papers based on the presentations at the conference, Gijón, Spain, June 26–July 1, 2009. Zbl 1213.65013
Vigo-Aguiar, Jesus (ed.); Vanden Berghe, Guido (ed.)
5
2011
Accurate high-lying eigenvalues of Schrödinger and Sturm-Liouville problems. Zbl 0959.65500
Vanden Berghe, G.; Van Daele, M.; De Meyer, H.
4
1994
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.
4
1996
Shift operator techniques for the classification of multipole-phonon states. VII: Self-consistent single step algorithm for R(5) \(O^0\) eigenstate and eigenvalue determination. Zbl 0444.22015
De Meyer, H. E.; Vanden Berghe, G.
4
1980
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
Numerical solution of Fredholm equations based on mixed interpolation. Zbl 0786.65126
Vanden Berghe, G.; Bocher, P.; De Meyer, H.
4
1993
\(SO(2n+1)\) in an \(SO(2n-3)\times SU(2)\times SU(2)\) basis. I: Reduction of the symmetric representations. Zbl 0498.22021
de Meyer, H.; de Wilde, P.; Vanden Berghe, G.
4
1982
Shift operator approach of the spin-isospin supermultiplet state labelling problem: Eigenvalue determination of the \(\Omega\) and \(\Phi\) labelling operators. Zbl 0538.22014
Van der Jeugt, Joris; De Meyer, H. E.; Vanden Berghe, G.
4
1983
On Lie algebras built from SO(3) tensor operators. Zbl 0546.22018
Vanden Berghe, G.; de Meyer, H.
4
1984
Modified backward differentiation methods of the Adams-type based on exponential interpolation. Zbl 0729.65054
De Meyer, H.; Vanden Berghe, G.; Vanthournout, J.
4
1991
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
Pairs of analytical eigenfunctions for the \(x^ 2+\lambda x^ 2/(1+gx^ 2)\) interaction. Zbl 0679.34016
Vanden Berghe, G.; De Meyer, H. E.
4
1989
Two-step fourth order methods for linear ODEs of the second order. Zbl 1170.65058
Bulatov, Mikhail V.; Vanden Berghe, Guido
3
2009
A parallel iterated correction algorithm for the numerical solution of Volterra equations. Zbl 0823.65141
Bocher, P.; De Meyer, H.; Fack, V.; Vanden Berghe, G.
3
1995
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.
3
1997
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
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.
3
1992
Numerical quadrature based on an exponential type of interpolation. Zbl 0728.65018
de Meyer, H.; Vanden Berghe, G.; Vanthournout, J.
3
1991
The implementation of parallel Gram-Schmidt orthogonalisation algorithms on a ring of transputers. Zbl 0848.68040
De Meyer, H.; Niyokindi, C.; Vanden Berghe, G.
3
1993
A numerical procedure to solve the multichannel Schrödinger eigenvalue problem. Zbl 1196.81108
Ledoux, V.; Van Daele, M.; Vanden Berghe, G.
3
2007
The concrete delivery problem. Zbl 1348.90104
Kinable, J.; Wauters, T.; Vanden Berghe, G.
3
2014
Totally symmetric irreducible representations of the group \(\text{SO}(6)\) in the principal \(\text{SO}(3)\) subgroup basis. Zbl 0636.22016
Vanthournout, Jan; Van der Jeugt, Joris; De Meyer, Hans; Vanden Berghe, Guido
3
1987
A combinatorial Benders’ decomposition for the lock scheduling problem. Zbl 1348.90318
Verstichel, J.; Kinable, J.; De Causmaecker, P.; Vanden Berghe, G.
13
2015
The concrete delivery problem. Zbl 1348.90104
Kinable, J.; Wauters, T.; Vanden Berghe, G.
3
2014
Symplectic exponentially-fitted four-stage Runge-Kutta methods of the Gauss type. Zbl 1215.65130
Vanden Berghe, Guido; Van Daele, Marnix
8
2011
Exponentially fitted methods applied to fourth-order boundary value problems. Zbl 1225.65075
Hollevoet, D.; Van Daele, M.; Vanden Berghe, G.
7
2011
Special issue: Advances in computational and mathematical methods in science and engineering (CMMSE 2009). Selected papers based on the presentations at the conference, Gijón, Spain, June 26–July 1, 2009. Zbl 1213.65013
Vigo-Aguiar, Jesus; Vanden Berghe, Guido
5
2011
Symplectic exponentiality-fitted modified Runge-Kutta methods of the Gauss type: Revisited. Zbl 1216.65092
Vanden Berghe, G.; Van Daele, M.
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
The optimal exponentially-fitted Numerov method for solving two-point boundary value problems. Zbl 1167.65406
Hollevoet, D.; Van Daele, M.; Vanden Berghe, G.
33
2009
Exponentially-fitted Obrechkoff methods for second-order differential equations. Zbl 1166.65352
Vanden Berghe, G.; Van Daele, M.
28
2009
Efficient computation of high index Sturm-Liouville eigenvalues for problems in physics. Zbl 1198.65124
Ledoux, V.; Van Daele, M.; Vanden Berghe, Guido
8
2009
Trigonometric polynomial or exponential fitting approach? Zbl 1177.65040
Vanden Berghe, G.; Van Daele, M.
5
2009
Two-step fourth order methods for linear ODEs of the second order. Zbl 1170.65058
Bulatov, Mikhail V.; Vanden Berghe, Guido
3
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
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.
22
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.
36
2007
\(P\)-stable Obrechkoff methods of arbitrary order for second-order differential equations. Zbl 1123.65070
Van Daele, Marnix; Vanden Berghe, Guido
27
2007
Exponentially-fitted Numerov methods. Zbl 1110.65071
Vanden Berghe, G.; Van Daele, M.
13
2007
Geometric numerical integration by means of exponentially-fitted methods. Zbl 1116.65125
Van Daele, M.; Vanden Berghe, G.
13
2007
A numerical procedure to solve the multichannel Schrödinger eigenvalue problem. Zbl 1196.81108
Ledoux, V.; Van Daele, M.; Vanden Berghe, G.
3
2007
Exponentially-fitted Störmer/Verlet methods. Zbl 1127.65050
Vanden Berghe, G.; Van Daele, M.
17
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.
7
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.
6
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.
2
2006
Revisiting a chapter from the notebooks of Ramanujan on hypergeometric series. Zbl 1197.01043
Rao, K. Srinivasa; Vanden Berghe, G.
2
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
33
2005
Exponentially fitted quadrature rules of Gauss type for oscillatory integrands. Zbl 1069.65022
Van Daele, M.; Vanden Berghe, G.; Vande Vyver, H.
8
2005
An entry of Ramanujan on hypergeometric series in his Notebooks. Zbl 1068.33010
Srinivasa Rao, K.; Vanden Berghe, G.; Krattenthaler, C.
6
2005
Exponential fittings: general approach and applications for ODE-solvers. Zbl 1074.65073
Vanden Berghe, Guido
2
2005
CP methods and the evaluation of negative energy Coulomb Whittaker functions. Zbl 1074.65077
Ledoux, V.; Van Daele, M.; Vanden Berghe, G.
1
2005
Exponentially-fitted geometric numerical integration. Zbl 1088.65557
Vanden Berghe, G.; Van Daele, M.
1
2005
Exponential fitting. With CD-ROM. Zbl 1105.65082
Ixaru, Liviu Gr.; Vanden Berghe, Guido
72
2004
Approximate solution of singular integral equations. Zbl 1061.65141
Chakrabarti, A.; Vanden Berghe, G.
10
2004
CP methods of higher order for Sturm-Liouville and Schrödinger equations. Zbl 1196.65131
Ledoux, V.; Van Daele, M.; Vanden Berghe, Guido
10
2004
Extended one-step methods: An exponential fitting approach. Zbl 1063.65063
Van Daele, M.; Vanden Berghe, G.
8
2004
Exponentially-fitted algorithms: fixed or frequency dependent knot points? Zbl 1070.65020
Vanden Berghe, G.; Van Daele, M.; Vande Vyver, H.
8
2004
Exponential fitting: applications for ODE-solvers. Zbl 1060.65622
Vanden Berghe, G.
6
2004
Exponentially fitted variable two-step BDF algorithm for first order ODEs. Zbl 1196.65110
Ixaru, L. Gr.; Vanden Berghe, Guido; De Meyer, Hans
37
2003
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.
28
2003
A special identity between three \(_{2} F_{1}(a,b;c;4)\) hypergeometric series. Zbl 1031.33003
Vanden Berghe, G.; De Meyer, H.
1
2003
Frequency evaluation in exponential fitting multistep algorithms for ODEs. Zbl 0996.65075
Ixaru, L. Gr.; Vanden Berghe, G.; De Meyer, H.
90
2002
Weights of the exponential fitting multistep algorithms for first-order ODEs. Zbl 0991.65061
Ixaru, L. Gr.; Rizea, M.; Vanden Berghe, G.; De Meyer, H.
37
2001
Frequency determination and step-length control for exponentially-fitted Runge-Kutta methods. Zbl 0991.65062
Vanden Berghe, G.; Ixaru, L. Gr.; De Meyer, H.
30
2001
Optimal implicit exponentially-fitted Runge-Kutta methods. Zbl 0990.65080
Vanden Berghe, G.; Ixaru, L. Gr.; Van Daele, M.
25
2001
Exponentially fitted Runge-Kutta methods. Zbl 0999.65065
Vanden Berghe, G.; De Meyer, H.; Van Daele, M.; Van Hecke, T.
63
2000
Exponentially-fitted explicit Runge-Kutta methods. Zbl 0948.65066
Vanden Berghe, G.; De Meyer, H.; Van Daele, M.; Van Hecke, T.
88
1999
SLCPM12 – a program for solving regular Sturm-Liouville problems. Zbl 1008.34016
Ixaru, L. Gr.; De Meyer, H.; Vanden Berghe, G.
12
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.
24
1998
CP methods for the Schrödinger equation revisited. Zbl 0909.65045
Ixaru, L. Gr.; De Meyer, H.; Vanden Berghe, G.
14
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.
8
1998
Special functions and differential equations. Proceedings of a workshop, WSSF ’97, Madras, India, January 13–24, 1997. Zbl 0914.00063
Srinivasa Rao, K.; Jagannathan, R.; Vanden Berghe, G.; Van der Jeugt, J.
2
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.
29
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.
27
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 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 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.
3
1997
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 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.
4
1996
A parallel fifth-order algorithm for the numerical solution of Volterra equations. Zbl 0855.65139
De Meyer, H.; Bocher, P.; Fack, V.; Vanden Berghe, G.
2
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.
24
1995
A modified difference scheme for periodic and semiperiodic Sturm- Liouville problems. Zbl 0834.65075
Vanden Berghe, G.; Van Daele, M.; De Meyer, H.
6
1995
A parallel iterated correction algorithm for the numerical solution of Volterra equations. Zbl 0823.65141
Bocher, P.; De Meyer, H.; Fack, V.; Vanden Berghe, G.
3
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.
19
1994
On Gregory-and modified Gregory-type corrections to Newton-Cotes quadrature. Zbl 0808.41020
Bocher, P.; de Meyer, H.; vanden Berghe, G.
7
1994
A finite-element estimate with trigonometric hat functions for Sturm- Liouville eigenvalues. Zbl 0815.65099
vanden Berghe, G.; de Meyer, H.
6
1994
Modified Gregory formulae based on mixed interpolation. Zbl 1306.41010
Bocher, P.; De Meyer, H.; Vanden Berghe, G.
6
1994
Numerical solution of Volterra equations based on mixed interpolation. Zbl 0805.65142
Bocher, P.; De Meyer, H.; Vanden Berghe, G.
5
1994
Accurate high-lying eigenvalues of Schrödinger and Sturm-Liouville problems. Zbl 0959.65500
Vanden Berghe, G.; Van Daele, M.; De Meyer, H.
4
1994
Structural zeros of Racah coefficients and exceptional Lie algebras. Zbl 0818.17003
Vanden Berghe, G.
2
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
Numerical solution of Fredholm equations based on mixed interpolation. Zbl 0786.65126
Vanden Berghe, G.; Bocher, P.; De Meyer, H.
4
1993
The implementation of parallel Gram-Schmidt orthogonalisation algorithms on a ring of transputers. Zbl 0848.68040
De Meyer, H.; Niyokindi, C.; Vanden Berghe, G.
3
1993
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.
9
1992
Multistep methods for ordinary differential equations based on algebraic and first order trigonometric polynomials. Zbl 0768.65044
Vanthournout, J.; De Meyer, H.; Vanden Berghe, G.
8
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
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.
3
1992
On the algebra of coupled SO(3) tensors. Zbl 0749.17005
Srinivasa Rao, K.; Van der Jeugt, Joris; Vanden Berghe, G.
2
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
Accurate computation of higher Sturm-Liouville eigenvalues. Zbl 0716.65079
Vanden Berghe, G.; De Meyer, H.
14
1991
On a correction of Numerov-like eigenvalue approximations for Sturm- Liouville problems. Zbl 0753.65071
Vanden Berghe, G.; de Meyer, H.
11
1991
Modified backward differentiation methods of the Adams-type based on exponential interpolation. Zbl 0729.65054
De Meyer, H.; Vanden Berghe, G.; Vanthournout, J.
4
1991
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
Numerical quadrature based on an exponential type of interpolation. Zbl 0728.65018
de Meyer, H.; Vanden Berghe, G.; Vanthournout, J.
3
1991
On a new type of mixed interpolation. Zbl 0693.41003
De Meyer, H.; Vanthournout, J.; Vanden Berghe, G.
40
1990
On the error estimation for a mixed type of interpolation. Zbl 0725.41002
De Meyer, H.; Vanthournout, J.; Van den Berghe, G.
31
1990
A modified Numerov integration method for second order periodic initial- value problems. Zbl 0752.65059
Vanden Berghe, G.; De Meyer, H.; Vanthournout, J.
22
1990
On a class of modified Newton-Cotes quadrature formulae based upon mixed- type interpolation. Zbl 0729.41032
Vanden Berghe, G.; De Meyer, H.; Vanthournout, J.
21
1990
Families of backward differentiation methods based on a new type of mixed interpolation. Zbl 0752.65060
Vanthournout, Jan; Vanden Berghe, Guido; De Meyer, Hans
17
1990
A modified Numerov method for higher Sturm-Liouville eigenvalues. Zbl 0726.65100
Vanden Berghe, G.; de Meyer, H.
14
1990
Exact bound-state solutions of the potential \(V(r)=-Ze^ 2/(r+\beta)\). Zbl 0721.34101
De Meyer, H.; Vanden Berghe, G.
2
1990
Numerical methods for solving radial Schrödinger equations. Zbl 0694.65033
Vanden Berghe, G.; Fack, V.; De Meyer, H. E.
17
1989
Pairs of analytical eigenfunctions for the \(x^ 2+\lambda x^ 2/(1+gx^ 2)\) interaction. Zbl 0679.34016
Vanden Berghe, G.; De Meyer, H. E.
4
1989
On the symmetric representations of SU(5). Matrix elements of the generators in the SO(3) basis. Zbl 0681.22023
Vanthournout, J.; De Meyer, H.; Vanden Berghe, G.
2
1989
On the symmetric representations of \(\text{SU}(5)\). Matrix elements of the generators in the subgroup bases \(\text{SU}(2)\times\text{SU}(2)\times\text{U}(1)\) and \(\text{SU}(2)\times\text{SU}(2)\). Zbl 0653.22013
Vanthournout, Jan; De Meyer, Hans; Vanden Berghe, Guido
1
1988
(Extended) Numerov method for computing eigenvalues of specific Schrödinger equations. Zbl 0626.65079
Fack, V.; Vanden Berghe, G.
11
1987
...and 28 more Documents
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Cited by 459 Authors

85 Vanden Berghe, Guido
84 Simos, Theodore E.
65 De Meyer, Hans E.
46 Van Daele, Marnix
27 Fang, Yonglei
27 Paternoster, Beatrice
24 You, Xiong
21 Ixaru, Liviu Gr.
18 Van der Jeugt, Joris
17 Van de Vyver, Hans
17 Vigo-Aguiar, Jesus
17 Wu, Xinyuan
16 Franco, J. Méndez
13 Rández, Luis
11 Anastassi, Zacharias A.
11 Jator, Samuel N.
11 Kalogiratou, Zacharoula
10 D’Ambrosio, Raffaele
10 Ledoux, Veerle
10 Martín-Vaquero, Jesús
10 Van Hecke, Tanja
9 Vanthournout, Jan
8 Lin, Chialiang
8 Monovasilis, Theodoros
8 Montijano, Juan Ignacio
8 Ramos, Higinio
7 Bocher, Philippe
7 Conte, Dajana
7 Ghelardoni, Paolo
7 Li, Jiyong
7 Li, Qinghong
6 Calvo, Manuel
6 Cardone, Angelamaria
6 Chen, Zhaoxia
6 Magherini, Cecilia
6 Vlachos, D. S.
6 Yang, Yanping
5 Hamsapriye
5 Kim, Kyung Joong
5 Ming, Qinghe
5 Ngwane, Fidele F.
5 Witwit, M. R. M.
5 Zheng, Juan
4 Akram, Ghazala
4 Dewilde, Patrick M.
4 Ehigie, Julius Osato
4 El-Daou, Mohamed K.
4 Fack, Veerle
4 Hughes, J. W. B.
4 Kravchenko, Vladislav V.
4 Liu, Shiwei
4 Medvedev, Maxim A.
4 Ozawa, Kazufumi
4 Torba, Sergii M.
4 Tsitouras, Charalampos
4 Zahra, Waheed K.
4 Zhang, Ruqiang
3 Aceto, Lidia
3 Amodio, Pierluigi
3 Brugnano, Luigi
3 Çelik, İbrahim
3 Chen, Bingzhen
3 Cong, Nguyen Huu
3 Deng, Shuo
3 El-Danaf, Talaat S. Aly
3 Erdoğan, Utku
3 Esposito, Elena
3 García-Alonso, Fernando
3 Garcia-Rubio, Raquel
3 García, Amelia
3 Hollevoet, D.
3 Jalilian, Reza
3 Khalsaraei, Mohammad Mehdizadeh
3 Konguetsof, Avrilia
3 Louck, James D.
3 Martin, Pablo
3 Ramadan, Mohamed Abdel-Latif
3 Reyes, José Antonio
3 Siddiqi, Shahid Saeed
3 Sidje, Roger B.
3 Siraj-ul-Islam
3 Tang, Chen
3 Taşeli, Hasan
3 Tian, Hongjiong
3 Tirmizi, Ikram A.
3 Wang, Zenggui
3 Yan, Haiqing
3 Yang, Hongli
3 Znojil, Miloslav
2 Alici, Haydar
2 Ališauskas, Sigitas
2 Aminikhah, Hossein
2 Andrew, Alan L.
2 Avdelas, George
2 Bockmann, Christine
2 Brunner, Hermann
2 Chen, Zhanqing
2 Coleman, John P.
2 Cools, Ronald
2 Dehghan Takht Fooladi, Mehdi
...and 359 more Authors
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Cited in 95 Serials

125 Journal of Computational and Applied Mathematics
61 Journal of Mathematical Chemistry
60 Applied Mathematics and Computation
48 Journal of Mathematical Physics
40 Computer Physics Communications
38 Applied Numerical Mathematics
24 Numerical Algorithms
23 International Journal of Computer Mathematics
17 Computers & Mathematics with Applications
9 Journal of Computational Physics
6 Physics Letters. A
6 Applied Mathematics Letters
6 Mathematical and Computer Modelling
6 Journal of Applied Mathematics
5 BIT
5 Numerische Mathematik
5 Journal of Scientific Computing
4 Japan Journal of Industrial and Applied Mathematics
4 Communications in Nonlinear Science and Numerical Simulation
4 International Journal of Modern Physics C
3 Mathematical Problems in Engineering
3 Abstract and Applied Analysis
3 Afrika Matematika
2 International Journal of Modern Physics A
2 Molecular Simulation
2 Mathematics and Computers in Simulation
2 Acta Applicandae Mathematicae
2 Computational and Applied Mathematics
2 Advances in Computational Mathematics
2 Mathematical Communications
2 Discrete Dynamics in Nature and Society
2 Journal of Numerical Mathematics
2 Advances in Difference Equations
2 International Journal of Differential Equations
2 Mathematical Sciences
2 International Journal of Applied and Computational Mathematics
2 Cogent Mathematics
1 Modern Physics Letters A
1 Modern Physics Letters B
1 Applicable Analysis
1 International Journal of Theoretical Physics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Biology
1 Letters in Mathematical Physics
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Moscow University Mechanics Bulletin
1 Nuclear Physics. B
1 Physics Reports
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 ACM Transactions on Mathematical Software
1 Computing
1 Fasciculi Mathematici
1 International Journal of Mathematics and Mathematical Sciences
1 International Journal for Numerical Methods in Engineering
1 Journal of Number Theory
1 Journal of Soviet Mathematics
1 Kyungpook Mathematical Journal
1 SIAM Journal on Numerical Analysis
1 Applied Mathematics and Mechanics. (English Edition)
1 Numerical Methods for Partial Differential Equations
1 Journal of Integral Equations and Applications
1 Science in China. Series A
1 Annals of Physics
1 Applied Mathematical Modelling
1 Linear Algebra and its Applications
1 Advances in Engineering Software
1 Cybernetics and Systems Analysis
1 Communications in Numerical Methods in Engineering
1 Numerical Linear Algebra with Applications
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Turkish Journal of Mathematics
1 Journal of Inverse and Ill-Posed Problems
1 Parallel Algorithms and Applications
1 Nonlinear Dynamics
1 Mathematical Physics, Analysis and Geometry
1 Statistical Inference for Stochastic Processes
1 Czechoslovak Journal of Physics
1 Discrete and Continuous Dynamical Systems. Series B
1 ANACM. Applied Numerical Analysis and Computational Mathematics
1 Mediterranean Journal of Mathematics
1 Applications and Applied Mathematics
1 Computational & Mathematical Methods in Medicine
1 Journal of Physics A: Mathematical and Theoretical
1 Advances in High Energy Physics
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Spectral Theory
1 Iranian Journal of Mathematical Chemistry
1 Analysis and Mathematical Physics
1 Numerical Algebra, Control and Optimization
1 Journal of Linear and Topological Algebra
1 Bollettino dell’Unione Matematica Italiana
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Cited in 37 Fields

467 Numerical analysis (65-XX)
249 Ordinary differential equations (34-XX)
116 Quantum theory (81-XX)
39 Topological groups, Lie groups (22-XX)
35 Partial differential equations (35-XX)
29 Approximations and expansions (41-XX)
25 Dynamical systems and ergodic theory (37-XX)
22 Integral equations (45-XX)
18 Special functions (33-XX)
17 Nonassociative rings and algebras (17-XX)
10 Mechanics of particles and systems (70-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Operator theory (47-XX)
6 Biology and other natural sciences (92-XX)
5 General and overarching topics; collections (00-XX)
5 Number theory (11-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Mechanics of deformable solids (74-XX)
4 Group theory and generalizations (20-XX)
3 Algebraic geometry (14-XX)
3 Difference and functional equations (39-XX)
3 Fluid mechanics (76-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Functional analysis (46-XX)
2 Statistics (62-XX)
2 Computer science (68-XX)
2 Optics, electromagnetic theory (78-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Measure and integration (28-XX)
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1 Geometry (51-XX)
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1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Geophysics (86-XX)
1 Information and communication theory, circuits (94-XX)

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