PUBLICATIELIJST
- 1.
- K. HEYDE and G. VANDEN BERGHE
Unified-model calculations for 139Ce.
Nucl. Phys. A126, 1969, 381-391
- 2.
- G. VANDEN BERGHE and K. HEYDE
Penetration effects on internal conversion for l-forbidden M1
transitions in a unified model.
Nucl. Phys.A144 , 1970 , 558-576
- 3.
- G. VANDEN BERGHE and K. HEYDE
Level schemes and properties of the odd-mass Sb isotopes.
Phys. Lett. 32B, 1970, 173-176
- 4.
- G. VANDEN BERGHE and K. HEYDE
Structure and electromagnetic properties of the odd-A
antimony isotopes in a unified-model calculation.
Nucl. Phys. A163, 1971, 478-512
- 5.
- G. VANDEN BERGHE, K. HEYDE and M. WAROQUIER
Unified model calculations for the N=83 nuclei.
Nucl. Phys. A165 ,1971, 662-672
- 6.
- K. HEYDE, M. WAROQUIER and G. VANDEN BERGHE
On the nature of the isomeric state in the doubly-even N=82
nuclei.
Phys. Lett. 35B , 1971, 211-213
- 7.
- G. VANDEN BERGHE
Theoretical interpretation of the nuclear structure of the
N=83 nuclei.
Contributions of the Conference on Nuclear Structure Study
with Neutrons,
Boedapest Hongarije , 1972, p. 126--127
- 8.
- G. VANDEN BERGHE and K. HEYDE
Penetration effects in K-conversion coefficients for
l-forbidden M1-transitions.
In: "Radioactivity in Nuclear Spectroscopy" (J. Hamilton and
J. Manthuruthil, Eds.) (Gordon and Breach, Science Publ.
New York - London - Paris ), 1972, 1411-1418
- 9.
- G. VANDEN BERGHE, K. HEYDE and M. WAROQUIER
Isobaric analog resonance properties in a unified model
calculation.
Phys. Lett. 38B , 1972, 467-470
- 10.
- G. VANDEN BERGHE and M. WAROQUIER
On the coexistence of quadrupole and octupole vibrations in
145Sm.
Nucl. Phys. A196 , 1972, 303-311
- 11.
- M. WAROQUIER and G. VANDEN BERGHE
The J=11/2-(1)- isomeric state in the odd-proton N=82
nuclei.
Phys. Lett. 41B , 1972, 267-270
- 12.
- G. VANDEN BERGHE
The two-particle-one-hole states in the antimony isotopes.
Proceedings of the Conference on Nuclear and High-Energy
Physics,
Liverpool Engeland , 1973.
- 13.
- G. VANDEN BERGHE, M. WAROQUIER and K. HEYDE
On the perturbation approach to the particle-vibration
coupling model.
Ann. of Phys. 78 , 1973, 467-495
- 14.
- K. HEYDE, M. WAROQUIER, G. VANDEN BERGHE, P.J. BRUSSAARD
Generalized neutron particle-hole states in an extended
unified-model description.
Phys. Lett. 43B , 1973, 1-5
- 15.
- G. VANDEN BERGHE and E. DEGRIECK
The two-particle-one-hole states in the odd-A antimony
isotopes.
Z. Phys. 262 , 1973, 25-37
- 16.
- G. VANDEN BERGHE, K. HEYDE and M. WAROQUIER
Core polarization corrections to magnetic dipole moments and
transitions.
Z. Phys. 259 , 1973, 37-44
- 17.
- E. DEGRIECK and G. VANDEN BERGHE
On the nature of the isomeric 6+ state in the heavy doubly-
even Te isotopes.
Z. Phys. 265 , 1973, 393-400
- 18.
- G. VANDEN BERGHE and E. DEGRIECK
The two-particle core coupling model applied to the doubly-
even Te and N=84 nuclei.
Proceedings of the International Conference on Nuclear
Structure and Spectroscopy,
Amsterdam (1971) vol. 1 (P.H.
Blok and A. Dieperinck Publ. Scholar's Press, Amsterdam,
1974, p. 52
- 19.
- G. VANDEN BERGHE
On the coexistence of three-particle clustering and collective core vibrations in 129I.
Z. Phys. 266 , 1974, 139-148
- 20.
- E. DEGRIECK and G. VANDEN BERGHE
Structure and electromagnetic properties of the doubly-even
Te isotopes.
Nucl. Phys. A231 , 1974, 141-158
- 21.
- G. VANDEN BERGHE
A theoretical interpretation of the nuclear structure of the
doubly-even N=84 nuclei.
Z. Phys. A272 , 1975, 245-256
- 22.
- G. VANDEN BERGHE
Comment on Witchel's operator method for the calculation of
Gaunt's coefficients.
J. Phys. A : Math. Gen. 8 , 1975, 1193-1195
- 23.
- G. VANDEN BERGHE
The three-particle cluster core coupling model.
Mededelingen van de Koninklijke Acacdemie voor Wetenschappen,
Letteren en Schone Kunsten van België, Jrg 36, 1974, nr. 10, 64 p.
- 24.
- G. VANDEN BERGHE
Nuclear structure calculations for the 2p-1f nuclei: 56Fe,
57Fe,58Ni,59Ni.
Fizika 7 , suppl. 2 , 1975, 42-48
- 25.
- G. VANDEN BERGHE
The two-particle core coupling model applied to the N=84
nuclei.
Fizika 7, suppl. 2 , 1975, 72-75
- 26.
- G. VANDEN BERGHE
Interplay of valence-shell clusters and the vibrational field
in 58Ni.
Z. Phys. A274 , 1975, 51-57
- 27.
- G. VANDEN BERGHE and H. DE MEYER
Comment on "An interesting relation involving 3-j symbols".
J. Phys. A : Math. Gen.9 , 1976, L5-L7
- 28.
- J. KRÜGER, H. DE MEYER and G. VANDEN BERGHE
Derivation of a model for symmetrized electromagnetism from a
space-time with torsion.
J. Phys. A : Math. Gen. 9 , 1976, 1323-1329
- 29.
- G. VANDEN BERGHE
Semimicroscopic description for the negative parity states of
67Zn.
Nucl. Phys. A265 , 1976, 479-492
- 30.
- G. VANDEN BERGHE
A semi-microscopic calculation for the (2p-1f) nuclei 59Ni,
56Fe and 57Fe.
Z. Phys. A279 , 1976, 223-232
- 31.
- G. VANDEN BERGHE
High-spin states in 205Pb and the Alaga model.
Proceedings of the International Conference on Nuclear
Structure,
Tokyo-Japan , 1977.
- 32.
- G. VANDEN BERGHE
Some special relations between 6-j and 9-j symbols.
J. Phys. A : Math. Gen. 10, 1977, L29-L32
- 33.
- J. BRON, W.H.A. HESSELINK, H. BEDET, H. VERHEUL, and G. VANDEN BERGHE
High-spin states in 115Sb.
Nucl. Phys. A279 , 1977, 365-384
- 34.
- G. VANDEN BERGHE
Interplay of valence-shell clusters and the vibrational field
in 205Pb and 206Pb.
Z. Phys. A281 , 1977, 355-364
- 35.
- H.E. DE MEYER and G. VANDEN BERGHE
Traces of products of angular momentum operators in the
spherical basis.
J. Phys. A : Math. Gen. 11 , 1978, 485-500
- 36.
- H.E. DE MEYER and G. VANDEN BERGHE
A general set of relations involving 3-j symbols.
J. Phys. A : Math. Gen. 11 , 1978, 697-707
- 37.
- H.E. DE MEYER and G. VANDEN BERGHE
Recursion relations for traces of products of angular
momentum operators in the spherical basis.
J. Phys. A : Math. Gen. 11, 1978, 1295-1301
- 38.
- G. VANDEN BERGHE and H. DE MEYER
On the existence of intelligent states associated with the
non-compact group SU(1,1).
J. Phys. A : Math. Gen. 11 , 1978, 1569-1578
- 39.
- G. VANDEN BERGHE and H.E. DE MEYER
A relation between products of vectors whose components
satisfy three-parameter Lie-algebras.
Lett. al Nuovo Cimento 24 , 1979, 417-419
- 40.
- G. VANDEN BERGHE and H.E. DE MEYER
A practical method for constructing N-quadrupole- and N-
octupole-phonon states.
Nucl. Phys. A323, 1979, 302-316
- 41.
- G. VANDEN BERGHE and H.E. DE MEYER
Exact derivation of fifth-label values for quadrupole-phonon
states.
Lett. al Nuovo Cimento 26, 1979, 637-640
- 42.
- H.E. DE MEYER and G. VANDEN BERGHE
Generalized Bogoliubov transformation coefficients for para-
Bose states.
J. Phys. A : Math. Gen. 13, 1980, 161-171
- 43.
- G. VANDEN BERGHE and V. PAAR
The 142Ce(d,p)143Ce reaction and a quasi-f7/2 pattern in
143Ce in the cluster-vibration model.
Z. Phys. A294, 1980, 183-189
- 44.
- V.PAAR and G.VANDEN BERGHE
Theoretical interpretation of the 142Ce(d,p) 143Ce
reaction. Fizika 11 S1 (1979) 19.
- 45.
- H.E. DE MEYER and G. VANDEN BERGHE
A set of commuting operators and R(3) scalars for the
complete classification of quadrupole phonon-states.
J. Math. Phys. 21, 1980, 486-492
- 46.
- G. VANDEN BERGHE and H.E. DE MEYER
Properties and eigenvalues of a fifth label generating
operator for quadrupole-phonon states.
J. Math. Phys. A : Math. Gen. 13, 1980, 1543-1556
- 47.
- G.VANDEN BERGHE and H.E. DE MEYER
Shift operator techniques for the classification of
multipole-phonon states. I. Properties of shift operators in
the R(5) group.
J. Math. Phys. 21, 1980, 1902-1905
- 48.
- H.E. DE MEYER and G. VANDEN BERGHE
Shift operator techniques for the classification of
multipole-phonon states. II. Eigenvalues of the quadrupole
shift operator Ol0.
J. Math. Phys. 21, 1980, 1906-1912
- 49.
- H.E. DE MEYER and G. VANDEN BERGHE
Shift operator techniques for the classification of
multipole-phononstates. III. The quadrupole-phonon eigen-
states of Ol0.
J. Math. Phys. 21, 1980, 1913-1917
- 50.
- G. VANDEN BERGHE and H.E. DE MEYER
Shift operator techniques for the classification of
multipole-phonon states. IV. Properties of shift operators in
the G2 group.
J. Math. Phys. 21, 1980, 1967-1972
- 51.
- H.E. DE MEYER and G. VANDEN BERGHE
Shift operator techniques for the classification of
multipole-phonon states. V. Properties of shift operators in
the R(7) group.
J. Math. Phys. 21, 1980, 1973-1976
- 52.
- G. VANDEN BERGHE and H.E. DE MEYER
Shift operator techniques for the classification of
multipole-phonon states. VI. Properties of nonscalar R(3)
product operators in the R(2+1) groups.
J. Math. Phys. 21, 1980, 2632-2634
- 53.
- H.E. DE MEYER and G. VANDEN BERGHE
Shift operator techniques for the classification of
multipole-phonon states. VII. Self-consistent single step
algorithm for R(5) Ol0 eigenstate and eigenvalue determination.
J. Math. Phys. 21, 1980, 2635-2639
- 54.
- V. PAAR, G. VANDEN BERGHE, C. GARRETT, J.R. LEIGH and G. DRACOULIS
Experimental and theoretical investigation of a quasi-f7/2
multiplet pattern in 147Sm.
Nucl. Phys. A350, 1980, 139-148
- 55.
-
V.PAAR, C.GARRETT, J.R.LEIGH, G.D.DRACOULIS and G.VANDEN BERGHE
The study
of Coulomb excitation in 147Sm. Fizika 11 S1 (1979) 28.
- 56.
- H.E. DE MEYER and G. VANDEN BERGHE
An alternative derivation of transition amplitudes for time-
dependent harmonic oscillators.
J. Math. Phys. 22, 1981, 1423-1424
- 57.
- G. VANDEN BERGHE and H.E. DE MEYER
Shift operator techniques for the classification of
multipole-phonon states. VIII.R(5)-> SU(2) X SU(2)
reduction for
obtaining quadrupole Ol0 eigenvalues.
J. Math. Phys. 22, 1981, 2326-2331
- 58.
- G. VANDEN BERGHE, H. DE MEYER and J. VAN DER JEUGT
Shift operator techniques for the classification of
multipole-phonon states. IX : Properties of non-scalar R(3)
product operators in the G2 group.
J. Math. Phys. 22, 1981, 2332-2337
- 59.
- H. DE MEYER, G. VANDEN BERGHE and J.W.B. HUGHES
Non-scalar extension of shift operator techniques for SU(3)
in an O(3) basis. I. Theory.
J. Math. Phys. 22, 1981, 2360-2365
- 60.
- H. DE MEYER, G. VANDEN BERGHE and J.W.B. HUGHES
Non-scalar extension of shift operator techniques for SU(3)
in an O(3) basis. II. Applications.
J. Math. Phys. 22, 1981, 2366-2371
- 61.
- G. VANDEN BERGHE, H.E. DE MEYER and J. VAN DER JEUGT
A special property of the relations connecting quadratic
products of R(3) shift operators.
Nuovo Cimento Letters 33, 1982, 120-122
- 62.
- H. DE MEYER, G. VANDEN BERGHE and J. VAN DER JEUGT
Shift operator techniques for the classification of
multipole-phonon states. X. Pl0 eigenstate and eigenvalue
determination in G2.
J. Math. Phys. 23, 1982, 1223-1227
- 63.
- H. DE MEYER, P. DE WILDE and G. VANDEN BERGHE
SO(2n+1) in an SO(2n-3) x SU(2) x SU(2) basis. I. Reduction of
the symmetric representations.
J. Phys. A : Math. Gen. 15, 1982, 2665-2676
- 64.
- G. VANDEN BERGHE, H. DE MEYER and P. DE WILDE
SO(2n+1) in an SO(2n-3) x SU(2) x SU(2) basis. II. Detailed
study of the symmetric representations of the SO(7) group.
J. Phys. A : Math. Gen. 15, 1982, 2677-2686
- 65.
- G. VANDEN BERGHE
Contribution to the construction and classification of
multipole-phonon states by means of purely algebraic and
group-theoretical methods.
Academiae Analecta (Klasse der Wetenschappen) Jrg.44, nr.1 ,
1982, 73-87
- 66.
- G. VANDEN BERGHE, H. DE MEYER and J. VAN DER JEUGT
Shift operator properties in the groups G2 and R(7).
Physica 114A, 1982, 282-284
- 67.
- G. VANDEN BERGHE and H. DE MEYER
R(5) -> SU(2) x SU(2)
and the quadrupole phonon state labelling
problem.
Physica 114A, 1982, 285-288
- 68.
- H. DE MEYER, G. VANDEN BERGHE and J.W.B. HUGHES
SU(3) in an O(3) basis : the use of non-scalar shift operator
products. Physica 114A, 1982, 294-296
- 69.
- J. VAN DER JEUGT, G. VANDEN BERGHE and H.E. DE MEYER
Boson realisation of the Lie algebra F4 and non-trivial zeros
of 6j-symbols.
J. Phys. A : Math. Gen. 16, 1983, 1377-1382
- 70.
- H. DE MEYER, G. VANDEN BERGHE and P. DE WILDE
SO(2n+1) in an [SU(2)]n basis : Symmetric representations.
Lecture Notes in Physics 180 (Springer Verlag) 1983, 448-449
- 71.
- G. VANDEN BERGHE, H. DE MEYER and J. VAN DER JEUGT
SU(3) in an O(3) basis : Eigenvalue spectrum of the Ql0 and
Ol0 operators.
Lecture Notes in Physics 180 (Springer Verlag) 1983, 452-453
- 72.
- J. VAN DER JEUGT, G. VANDEN BERGHE and H. DE MEYER
SU(4) in an SO(4) basis : shift operator technique.
Lecture Notes in Physics 180 (Springer Verlag) 1983, 454-455
- 73.
- J. VAN DER JEUGT, H. DE MEYER and G. VANDEN BERGHE
Non-scalar extension of shift operator techniques for SU(3)
in an O(3) basis. III. Shift operators of second degree in
the tensor components.
J. Math. Phys. 24, 1983, 1025-1031
- 74.
- J. VAN DER JEUGT, H. DE MEYER and G. VANDEN BERGHE
Shift operator techniques for the classification of
multipole-phonon states. XI. Properties of mixed type
quadratic product operators in R(7).
J. Math. Phys. 24, 1983, 1339-1344
- 75.
- J. VAN DER JEUGT, G. VANDEN BERGHE and H. DE MEYER
Shift operator techniques for the classification of
multipole-phonon states. XII. R(7) Ol0 eigenvalue and eigenvector
determination.
J. Math. Phys. 24, 1983, 1345-1349
- 76.
- J. VAN DER JEUGT, H. DE MEYER and G. VANDEN BERGHE
Shift operator approach of the spin-isospin supermultiplet
state labelling problem : Eigenvalue determination of the and labelling operators.
Annals of Physics 147, 1983, 85-139
- 77.
- P. DE WILDE, H. DE MEYER and G. VANDEN BERGHE
The SO(7) polynomial basis for symmetric representations.
J. Math. Phys. 24, 1983, 2263-2265
- 78.
- H. DE MEYER, G. VANDEN BERGHE and J. VAN DER JEUGT
Realizations of F4 in SO(3) x SO(3) bases and structural zeros
of the 6j-symbol.
J. Math. Phys. 25, 1984, 751-754
- 79.
- G. VANDEN BERGHE and H. DE MEYER
On Lie algebras built from SO(3) tensor operators.
J. Math. Phys. 25, 1984, 772-773
- 80.
- P. DE WILDE, H. DE MEYER, J. VAN DER JEUGT and G. VANDEN BERGHE
On a class of spinor representations of SO(7).
J. Math. Phys. 25, 1984, 1195-1198
- 81.
- J. VAN DER JEUGT, H. DE MEYER, G. VANDEN BERGHE and P. DE WILDE
Tensor operator realizations of the classical Lie algebras
and non-trivial zeros of the 6j-symbol.
Lecture Notes in Physics 201 (Springer Verlag) 1984, 101-105
- 82.
- P. DE WILDE, J. VAN DER JEUGT, H. DE MEYER and G. VANDEN BERGHE
Recent developments on shift operators.
Lecture Notes in Physics 201 (springer Verlag) 1984, 33-35
- 83.
- G. VANDEN BERGHE, H. DE MEYER and J. VAN DER JEUGT
Tensor operator realizations of E6 and structural zeros of
the 6j-symbol.
J. Math. Phys. 25, 1984, 2585-2588
- 84.
- H. DE MEYER and G. VANDEN BERGHE
A general approach to the systematic derivation of SO(3)
shift operator relations. I. Theory.
J. Math. Phys. 26 , 1985, 128-132
- 85.
- G. VANDEN BERGHE and H.E. DE MEYER
A general approach to the systematic derivation of SO(3)
shift operator relations. II. Applications.
J. Math. Phys. 26, 1985, 133-138
- 86.
- H. DE MEYER, V. FACK and G. VANDEN BERGHE
Dynamical group approach to the exponential cosine screened
Coulomb potential.
J. Phys. A : Math. Gen. 18, 1985 L849-L851
- 87.
- G. VANDEN BERGHE, H.E. DE MEYER and P. VAN ISACKER
Symmetry-conserving higher-order interaction terms in the
interacting boson model.
Phys. Rev. C 32, 1985, 1049-1056
- 88.
- H.E. DE MEYER, G. VANDEN BERGHE and J. VAN DER JEUGT
On the spectra of SO(3) scalars in the eveloping algebra of SU(3)
J. Math. Phys. 26, 1985, 3109 - 3111
- 89.
- H. DE MEYER, G. VANDEN BERGHE, J. VAN DER JEUGT and P. DE WILDE
A set of commuting missing label operators for SO(5)->
SO(3).
J. Math. Phys. 26, 1985, 2124-2126
- 90.
- V. FACK and G. VANDEN BERGHE
A finite difference approach for the calculation of perturbed
oscillator energies.
J. Phys. A : Math. Gen. 18, 1985, 3355-3363
- 91.
- V. FACK and G. VANDEN BERGHE
A program for the calculation of energy eigenvalues and
eigenstates of a Schrödinger equation.
Comp. Phys. Comm. 39, 1986, 187-196
- 92.
- V. FACK, H. DE MEYER and G. VANDEN BERGHE
Dynamic-group approach to the potential.
J. Math. Phys. 27, 1986, 1340-1343
- 93.
- G. VANDEN BERGHE and H.E. DE MEYER
Symmetry-conserving higher-order interaction terms in the
interacting boson model (SU(3)-limit).
Proceedings of the 14th ICGTMP. Ed. Y.M. Cho
World Scientific Publishing Co., Singapore, 1986, p.346-349
- 94.
- H. DE MEYER, J. VAN DER JEUGT, G. VANDEN BERGHE and V.K.B. KOTA
Classification of the dynamical symmetries in the extended
interaction boson model.
J. Phys. A : Math. Gen. 19, 1986, L565-L568
- 95.
- V. FACK, H. DE MEYER and G. VANDEN BERGHE
The exponential cosine screened Coulomb potential in the
framework of algebraic perturbation theory.
J. Phys. A : Math. Gen. 19, 1986, L709-L713
- 96.
- H. DE MEYER, J. VAN DER JEUGT, G. VANDEN BERGHE and J. VANTHOURNOUT
Symmetry preserving higher order interactions in the IBA-model.
In : "Nuclear structure, reactions and symmetries, vol. 2"
Ed. R.A. Meyer and V. Paar, World Scientific Publ. Co.,
1986, 1024-1029
- 97.
- H. DE MEYER, G. VANDEN BERGHE and P. DE WILDE
Two programs to perform certain symbolic calculations in the
enveloping algebra of a Lie algebra.
Computer Physics Communications 44, 1987, 197-208
- 98.
- H. DE MEYER, G. VANDEN BERGHE and V. FACK
Dynamical group approach to certain anharmonic oscillator and
perturbed Coulomb potentials.
XVth ICGTMP-proceedings, Ed. R.Gilmore, World Scientific
Publishing Co, Singapore, 1987, 294-298
- 99.
- G. VANDEN BERGHE, J. VANTHOURNOUT, J. VAN DER JEUGT and H. DE MEYER
Symmetry-conserving higher-order interaction terms in the
IBA-model : the O(6)-limit.
XVth ICGTMP-proceedings, Ed. R.Gilmore, World Scientific
Publishing Co, Singapore, 1987, 299-303
- 100.
- V. FACK, G. VANDEN BERGHE and H. DE MEYER
Some finite difference methods for computing eigenvalues and
eigenvectors of special two-point boundary value problems.
J. Comp. Appl. Math. 20, 1987, 211-217
- 101.
- V.K.B. KOTA, J. VAN DER JEUGT, H. DE MEYER and G. VANDEN BERGHE
Group-theoretical aspects of the extended interacting boson-model.
J. Math. Phys. 28, 1987, 2529-2539
- 102.
- V. FACK and G. VANDEN BERGHE
(Extended) Numerov method for computing eigenvalues of
specific Schrödinger equations.
J. Phys A. : Math. Gen. 20, 1987, 4153-4160
- 103.
- J. VANTHOURNOUT, J. VAN DER JEUGT, H. DE MEYER and G. VANDEN BERGHE
Totally symmetric irreducible representations of the group
SO(6) in the principal SO(3) subgroup basis.
J. Math. Phys. 28, 1987, 2529-2539
- 104.
- J. VANTHOURNOUT, J. VAN DER JEUGT, H. DE MEYER and G. VANDEN BERGHE
On the spectrum of a third-order SO(3) scalar in the
enveloping algebra of SO(6)
J. Math. Phys. 29, 1988, 802-805
- 105.
- J. VANTHOURNOUT, H. DE MEYER and G VANDEN BERGHE
Symmetry-preserving higher-order terms in the O(6) limit of
the interacting boson model.
Phys. Rev. C 38, 1988, 414-418
- 106.
- J. VANTHOURNOUT, J. VAN DER JEUGT, G. VANDEN BERGHE and H. DE MEYER
Extension of the interacting boson model : Higher order
interactions preserving the dynamical symmetry (the O(6)
limit).
Proceedings of the XVI International Colloquim on Group
Theoretical Methods in Physics, Varna Bulgarije, Eds H.
Doebner, J. Hennig and T. Palev, Springer Verlag, 1988, 429-433.
- 107.
- J. VANTHOURNOUT, H. DE MEYER and G.VANDEN BERGHE
On the symmetric representations of SU(5). Matrix elements
of the generators in the subgroup bases SU(2) x SU(2) x
U(1) and
SU(2) x SU(2).
J.Math.Phys. 29, 1988, 1958-1963
- 108.
- J.VANTHOURNOUT,H.DE MEYER and G. VANDEN BERGHE
On the symmetric representations of SU(5). Matrix elements
of the generators in the SO(3) basis.
J.Math. Phys. 30, 1989, 943-948
- 109.
- G.VANDEN BERGHE and H. DE MEYER
Pairs of analytical eigenfunctions for the
interaction.
J.Phys.A : Math.Gen. 22, 1989,1705-1710
- 110.
- G. VANDEN BERGHE, V. FACK and H. DE MEYER
Numerical Methods for solving radial Schrödinger equations.
J.Comp. Appl. Math. 28, 1989, 391-401
- 111.
- G. VANDEN BERGHE, H.DE MEYER and J.VANTHOURNOUT
A modified Numerov integration method for second order
periodic initial-value problems.
Intern. J. Computer Math. 32, 1990, 233-242
- 112.
- H. DE MEYER, J. VANTHOURNOUT and G. VANDEN BERGHE
On a new type of mixed interpolation.
J. Comp. Appl. Math. 30, 1990, 55-69
- 113.
- H. DE MEYER and G. VANDEN BERGHE
Exact bound state solutions of the potential . J. Phys. A : Math. Gen. 23, 1990, 1323-1328
- 114.
- G. VANDEN BERGHE, H. DE MEYER and J. VANTHOURNOUT
On a class of modified Newton-Cotes quadrature formulae based
upon mixed-type interpolation.
J. Comp. Appl. Math. 31, 1990, 331-349
- 115.
- J. VANTHOURNOUT, G. VANDEN BERGHE and H. DE MEYER
Families of backward differentiation methods based on a new
type of mixed interpolation.
Computer Math. Applic. 20, 1990, 19-30
- 116.
- G. VANDEN BERGHE and H. DE MEYER
A modified Numerov method for higher Sturm-Liouville
eigenvalues.
Intern. J. Computer Math. 37, 1990, 63-77
- 117.
- H. DE MEYER, J. VANTHOURNOUT, G. VANDEN BERGHE and A. VANDERBAUWHEDE
On the error estimation for a mixed type of interpolation.
J. Comp. Appl. Math. 32, 1990, 407-415
- 118.
- H. DE MEYER, G. VANDEN BERGHE and J. VANTHOURNOUT
Modified backward differentiation methods of the Adams-type
based on exponential interpolation.
Computers Math. Applic. 21, 1991, 171-179
- 119.
- H. DE MEYER, G. VANDEN BERGHE and J. VANTHOURNOUT
Numerical quadrature based on a exponential type of interpolation.
Intern. J. Computer Math. 38 , 1991 , 193-209
- 120.
- G. VANDEN BERGHE and H. DE MEYER
Accurate computation of higher Sturm-Liouville eigenvalues.
Numer. Math. 59, 1991, 243-254
- 121.
- M. VAN DAELE, H. DE MEYER and G. VANDEN BERGHE
A modified Numerov integration method for general second order initial value
problems.
Intern. J. Computer Math. 40, 1991, 117-127
- 122.
- G. VANDEN BERGHE and H. DE MEYER
On a correction of Numerov-like eigenvalue approximations for Sturm-Liouville
problems.
J. Comp. & Appl. Math. 37, 1991, 179-186
- 123.
- K. SRINIVASA RAO, J. VAN DER JEUGT and G. VANDEN BERGHE
On the algebra of coupled SO(3) tensors
J. Math. Phys. 33, 1992, 15-18
- 124.
- M. VAN DAELE, H. DE MEYER and G. VANDEN BERGHE
Modified Newton-Cotes formulae for numerical quadrature
of oscillatory integrals with two independent
variable frequencies.
Int. J. Computer Math. 42, 1992, 83-97
- 125.
- G. VANDEN BERGHE, H. DE MEYER and M. VAN DAELE
A parallel approach to the modified Numerov-like eigenvalue determination
for Sturm-Liouville problems.
Computers Math. Appl. 23, 1992, 69-74
- 126.
- G. VANDEN BERGHE, M. VAN DAELE and H. DE MEYER
A five-diagonal finite difference method based on mixed-type
interpolation for computing eigenvalues of fourth-order
two-point boundary-value problems.
J. Comput. & Appl. Math. 41, 1992, 359-72
- 127.
- J. VANTHOURNOUT , H. DE MEYER and G. VANDEN BERGHE
Multistep methods for ordinary differential equations based on algebraic
and first order trigonometric polynomials.
in : Proceedings of the IMA-conference on
Computational Ordinary Differential Equations, Ed.J. R. Cash, Oxford
Univ. Press, 1992, pp8.
- 128.
- M. VAN DAELE, G. VANDEN BERGHE and H. DE MEYER
Five-diagonal finite difference methods based on mixed-type interpolation
for a certain fourth-order two-point boundary-value problem.
Computers Math. Appl. 24, 1992, 55-76
- 129.
- H. DE MEYER, C. NIYOKINDI and G. VANDEN BERGHE
The implementation of parallel Gram-Schmidt orthogonalisation algorithms
on a ring of transputers.
Computers Math. Appl. 25, 1993 , 65-72
- 130.
- H. DE MEYER, M. VAN DAELE and G. VANDEN BERGHE
On the implementation of iterated parallel Runge-Kutta methods.
APNUM 13, 1993, 155 - 163
- 131.
- G. VANDEN BERGHE, P. BOCHER and H. DE MEYER
Numerical solution of Fredholm equations based on mixed interpolation
APNUM 13, 1993, 15 - 22
- 132.
- K. SRINIVASA RAO and G. VANDEN BERGHE
Processor farm technique for the parallel computation of angular momentum
coefficients and eigenvalues of regular Sturm-Liouville problems.
Proceedings of the First Conference of Indian Transputer User Group, ITUG'93,
published as Supercomputing using transputers, eds. Vijay P. Bhatkar, Jairam
Hebbar, Sharad C. Purohit and Ashok Kaushal, Narosa Publ. House (1994)
56--57
- 133.
- G. VANDEN BERGHE
Structural zeros of Racah coefficients and exceptional Lie algebras.
J.Math.Phys. 35, 1994, 508-516
- 134.
- P. BOCHER, H. DE MEYER and G. VANDEN BERGHE
Numerical solution of Volterra equations based on mixed interpolation.
Computers Math. Appl. 27, 1994, 1-11
- 135.
- M. VAN DAELE, G. VANDEN BERGHE and H. DE MEYER
Numerical integration based on mixed-type interpolation for a fourth-order
boundary-value problem
Computers Math. Appl. 27, 1994, 55-65
- 136.
- P. BOCHER, H. DE MEYER and G. VANDEN BERGHE
Modified Gregory formulae based on mixed interpolation
Int. J. Computer Math. 52, 1994, 109-122
- 137.
- P. BOCHER, H. DE MEYER and G. VANDEN BERGHE
On Gregory and modified Gregory type corrections to
Newton-Cotes quadrature rules
J. Comp. and Appl. Math. 50, 1994, 145 - 158
- 138.
- G. VANDEN BERGHE, M. VAN DEALE, H. DE MEYER
Accurate high-lying eigenvalues of Schrödinger and
Sturm-Liouville problems
Phys. Lett. A 193, 1994, 341 - 347
- 139.
- M. VAN DAELE, G. VANDEN BERGHE and H. DE MEYER
A smooth approximation for the solution of a fourth order boundary value
problem based on non-polynomial splines.
J. Comput. and Appl. Math. 51, 1994, 383 - 394
- 140.
- G. VANDEN BERGHE and H. DE MEYER
A finite element estimate with trigonometric hat functions for Sturm-Liouville
eigenvalues.
J. Comp. and Appl. Math. 53, 1994, 389 - 396
- 141.
- P. BOCHER, H. DE MEYER, V. FACK and G. VANDEN BERGHE
A parallel iterated correction algorithm for the numerical solution of Volterra
equations.
APNUM 17, 1995, 19 - 32
- 142.
- G. VANDEN BERGHE, M. VAN DAELE and H. DE MEYER
A modified difference scheme for periodic and semiperiodic Sturm-Liuoville
problems.
APNUM 18, 1995, 69 - 78
- 143.
- G. VANDEN BERGHE, H. DE MEYER and M. VAN DAELE
Exact solutions for radial Schrödinger equations
International Journal of Theoretical Physics 34, 1995,1931 -1937
- 144.
- M. VAN DAELE, G. VANDEN BERGHE and H. DE MEYER
Properties and implementation of r-Adams Methods Based on Mixed-Type
Interpolation
Computers Math. Applic. 30, 1995, 37 - 54
- 145.
- M. VAN DAELE, G. VANDEN BERGHE and H. DE MEYER
A general theory of stabilized extended one-step methods for ODE's
Intern. J. Computer Math., 60, 1996, 253-263
- 146.
- H. DE MEYER, P. BOCHER, V. FACK and G.VANDEN BERGHE
A parallel fifth order algorithm for the numerical solution of Volterra
equations
J. Comput. & Appl. Math., 71, 1996, 115-124
- 147.
- L. IXARU, H. DE MEYER, G. VANDENBERGHE and M. VAN DAELE
A regularization procedure for
fi(zj)xi=g(zj)
Numerical Linear Algebra with Applications, 3 , 1996,81-90
- 148.
- H. DE MEYER, T VAN HECKE, G.VANDEN BERGHE and M. VAN DAELE
Multistride L-stable fourth-order methods for the numerical solution of ODE's
Computers Math. Applic., 32, 1996, 1-8
- 149.
- T. VAN HECKE, G. VANDEN BERGHE, M. VAN DAELE and H. DE MEYER
A variable-step variable-order algorithm for systems of stiff ODE's
Intern. J. Computer Math. 63, 1997, 149-157
- 150.
- L. IXARU, G. VANDEN BERGHE, H. DE MEYER and M. VAN DAELE
Four-step exponential-fitted methods for nonlinear physical problems
Computer Physics Comm. 100, 1997, 56-70
- 151.
- L. IXARU, H. DE MEYER, G. VANDEN BERGHE and M. VAN DAELE
EXPFIT4 - A Fortran program for the numerical solution of systems of nonlinear
second-order initial value problems
Computer Physics Comm. 100, 1997, 71 - 80
- 152.
- T. VAN HECKE, M. VAN DAELE, G. VANDEN BERGHE and H. DE MEYER
A mono-implicit Runge-Kutta-Nyström Modification of the Numerov method
J. Comput. & Appl. Math., 78, 1997, 161 - 178
- 153.
- M. VAN DAELE, G. VANDEN BERGHE and H. DE MEYER
Explicit Fifth Order Runge-Kutta Methods with Five Stages for Quadratic ODE's
Lecture Notes in Computer Science 1196, Proceedings of the First International
Workshop WNAA'96, Rousse, Bulgaria, (1997), 528 - 535
- 154.
- T. VAN HECKE, M. VAN DAELE, G. VANDEN BERGHE and H. DE MEYER
P-stable Mono-implicit Runge-Kutta-Nyström Modifications of the Numerov method
Lecture Notes in Computer Science 1196, Proceedings of the First International
Workshop WNAA'96, Rousse, Bulgaria, (1997), 536 - 545
- 155.
- H. DE MEYER, G. VANDEN BERGHE, T. VAN HECKE and M. VAN DAELE
On the generation of mono-implicit Runge-Kutta-Nyström methods by
mono-implicit Runge-Kutta methods.
J. Comput. & Appl. Math., 87, 1997, 147 - 167
- 156.
- L. IXARU, H. DE MEYER and G. VANDEN BERGHE
CP methods for the Schrödinger equation revisited,
J. Comput. & Appl. Math. 88, 1997, 289 - 314
- 157.
- K. SRINIVASA RAO, R.JAGANNATHAN, G. VANDEN BERGHE and J. VAN DER JEUGT
Special Functions and Differential Equations, Proceedings of a Workshop
held at IMSC Madras, India, (Allied Publ. New Delhi 1998)
- 158.
- G. VANDEN BERGHE, T. VAN HECKE, M. VAN DAELE and H. DE MEYER
Mono-implicit Runge-Kutta-(Nyström) methods for the numerical integration of
first- and second-order ODEs, in Special Functions and Differential Equations, Proceedings of a Workshop
held at IMSC Madras,India, eds. K.S. Rao, R Jagannathan, G. Vanden Berghe
and J. Van der Jeugt (Allied Publ. New Delhi 1998) 379 - 402
- 159.
- M. VAN DAELE, G. VANDEN BERGHE, H. DEMEYER and L. IXARU
Exponential-fitted four-step methods for y''=
f(x,y),
Intern. J. Computer Math. 66, 1998, 299 - 309
- 160.
- M. VAN DAELE, T. VAN HECKE, G. VANDEN BERGHE and H. DE MEYER
On a class of P-stable mono-implicit Runge-Kutta-Nyström methods,
APNUM 27, 1998, 69 - 82
- 161.
- G. VANDEN BERGHE
Simon Stevin (1548-1620), Brugse wiskundige in dienst van Oranje, Vlaamse
Stam 34, 1998, 323--328
- 162.
- M. DE REU, G. VANDEN BERGHE, G. VAN HOOYDONK
Simon Stevin - 1548-1620,
Schatten van de Universiteitsbibliotheek 9,
(Gent, Universiteitsbibliotheek D/1998/376/2)
- 163.
- T. VAN HECKE, G. VANDEN BERGHE, M. VAN DAELE, H. DE MEYER
Comment on: a two-stage fourth-order "almost" P-stable method for oscillatory
functions,
J. Comput. & Appl. Math. 103, 1999, 297 - 300
- 164.
- L. Gr. IXARU, H. DE MEYER and G. VANDEN BERGHE
SLCPM12 - A program for solving regular Sturm-Liouville problems,
Computer Physics Communications 118, 1999, 259 -277
- 165.
- M. VAN DAELE, T. VAN HECKE, G. VANDEN BERGHE and H. DE MEYER
Deferred Correction with mono-implicit Runge-Kutta methods for first order
IVPs,
Proceedings of the 2nd meeting on Numerical Methods for Differential
Equations (University of Coimbra, Portugal, 25-27 February 1998), 1999,
37-46
- 166.
- G. VANDEN BERGHE, H. DE MEYER, M. VAN DAELE and T. VAN HECKE
Exponentially-fitted explicit Runge-Kutta methods, Computer Physics
Communications 123, 1999, 7-15
- 167.
- M. VAN DAELE, T. VAN HECKE, G. VANDEN BERGHE and H. DE MEYER
Deferred Correction with mono-implicit Runge-Kutta methods for first order
IVPs,
J. Comput. & Appl. Math. 111, 1999, 37-47
- 168.
- G. VANDEN BERGHE
Laudatio Eric Van Schoonenberghe
Sartoniana 12 , 1999, 89--91.
- 169.
- L. Gr. IXARU, H. DE MEYER and G. VANDEN BERGHE
Highly accurate eigenvalues for the distorted Coulomb potential,
Phys. Rev. E 61, 2000, 3151-3159
- 170.
- C. BAKER, G. MONEGATO, J. PRYCE and G. VANDEN BERGHE (eds.),
Numerical Analysis 2000 in the 20th Century, Volume VI: Ordinary
Differential and Integral Equations
J. Comput. and Appl. Math. 125, 2000, 540pp.
- 171.
- G. VANDEN BERGHE, H. DE MEYER, M. VAN DAELE and T. VAN HECKE,
Exponentially fitted Runge-Kutta methods,
J. Comput. and Appl. Math. 125, 2000, 107-115
- 172.
- L. G. IXARU, M. RIZEA, G. VANDEN BERGHE, H. DE MEYER,
Weights of the exponential fitting multistep algorithms for first order ODEs
J. Comput. and Appl. Math. 132 , 2001, 83 -- 93
- 173.
- G. VANDEN BERGHE, L. Gr. IXARU and H. DE MEYER,
Frequency determination and step-length control for exponentially-fitted
Runge-Kutta methods,
J. Comput. and Appl. Math. 132 , 2001, 95 -- 105
- 174.
- C. BAKER, G. MONEGATO, J. PRYCE and G. VANDEN BERGHE (eds.),
Numerical Analysis 2000 in the 20th Century, Volume VI: Ordinary
Differential and Integral Equations , ISBN 0 -444- 50600-4, 2001, 558pp.
- 175.
-
G. VANDEN BERGHE, L. Gr IXARU and M. VAN DAELE,
Optimal implicit exponentially-fitted Runge-Kutta methods,
Computer Physics Communications 140, 2001, 346 -- 357
- 176.
-
J.T. DEVREESE and G. VANDEN BERGHE,
Simon Stevin (1548-1620), Vlaamse leermeester van een Nederlandse Prins,
Vlaanderen, jrg. 51, 2002, 18 - 20
- 177.
- L. Gr. IXARU, G. VANDEN BERGHE and H. DE MEYER,
Frequency evaluation in exponential fitting multistep algorithms for ODEs,
J. Comput. and Appl. Math. 140, 2002, 423 -- 434
- 178.
- J. DEVREESE and G. VANDEN BERGHE
Simon Stevin, Flemish Tutor to a Dutch Prince,
The Low Countries 10, 2002, 252 -- 256.
- 179.
- L. Gr. IXARU, G. VANDEN BERGHE and H. DE MEYER,
Exponentially fitted variable two-step BDF algorithm for first order
ODEs,
Comp. Phys. Commun. 150, 2003, 116 -- 128.
- 180.
- J. T. DEVREESE and G. VANDEN BERGHE
'Wonder en is gheen wonder', De geniale wereld van Simon Stevin (1548 -
1620),
Davidsfonds/Leuven, 2003, 344p., ISBN 90 5826174 3
- 181.
- G. VANDEN BERGHE, M. VAN DAELE and H. VANDE VYVER,
Exponential-fitted Runge-Kutta methods of collocation type: fixed or
variable knot points, J. Comp. Appl. Math. 159, 2003, 217--239
- 182.
- G. VANDEN BERGHE and H. DE MEYER,
A special identity between three 2F1(a,b;c;4)
hypergeometric series,
J. Comp. Appl. Math. 160, 2003, 315--321.
- 183.
- R. JAGANNATHAN, S. KANEMITSU, G. VANDEN BERGHE and W. VAN ASSCHE,eds.,
Proceedings of the International conference on special functions and their
applications (ICSF2002), J. Comp. Appl. Math. 160, 2003, pp.387.
- 184.
- W. VAN ASSCHE, G. VANDEN BERGHE and J. VAN DER JEUGT,
K. Srinivasa Rao and his work, J. Comp. Appl. Math. 160, 2003,1--8.
- 185.
- G. VANDEN BERGHE and M. VAN DAELE,
Exponentially-fitted extended one-step methods,
JCMSE, Journal of Computational Methods in Sciences and Engineering
3, 2003, 489--497.
- 186.
- K. SRINIVASA RAO and G. VANDEN BERGHE,
Gauss, Ramanujan and Hypergeometric Series Revisited, Historia Scientiarum
13, 2004, 123--133.
- 187.
- G. VANDEN BERGHE, M. VAN DAELE and H. VANDE VYVER,
Exponential fitted methods: fixed or
variable knot points?, Applied Numerical Analysis and Computational
Mathematics (ANACM), Extended abstracts ,2004, 24--27 (ISBN 3-527-40462-7)
- 188.
- G. VANDEN BERGHE, M. VAN DAELE and H. VANDE VYVER,
Exponential fitted methods: fixed or
variable knot points?, Applied Numerical Analysis and Computational
Mathematics (ANACM) 1, 2004, 49--65.
- 189.
- L. Gr. IXARU and G. VANDEN BERGHE,
Exponential fitting
Kluwer Academic Publishers (2004)
- 190.
- G. VANDEN BERGHE and L. Gr. IXARU,
Exponential fitting
Kluwer Academic Publishers (2004) (ISBN
1-4020-2100-3, EBook)
- 191.
- A. CHAKRABARTI and G. VANDEN BERGHE,
Approximate solution of singular integral equations,
Appl. Math. Letters Applied Mathematics Letters,17, 2004, 553-559.
- 192.
- V. LEDOUX, M. VAN DAELE and G. VANDEN BERGHE,
CP methods of higher order for Sturm-Liouville and Schrödinger
equations,
Comp. Phys. Commun. 162, 2004, 151-165.
- 193.
- G. VANDEN BERGHE
Simon Stevin, een leven in de schaduw van de macht, in Simon Stevin
1548-1620, De geboorte van de nieuwe wetenschap, Koninklijke Bibliotheek
van België (Brepols Publishers Turnhout), 2004, 19--25.
- 194.
- G. VANDEN BERGHE
Exponential fitting: Applications for ODE-solvers, Extended abstracts of
ICNAAM, International Conference on Numerical Analysis and Applied
Mathematics 2004, 2004, 427--431.
- 195.
- G. VANDEN BERGHE
Simon Stevin, une vie à l'ombre du pouvoir, in Simon Stevin 1548-1620,
L'émergence de la nouvelle science, Bibliothèque royal de Belgique
(Brepols Publishers Turnhout), 2004, 19 -25.
- 196.
- K. SRINIVASA RAO, G. VANDEN BERGHE and C. KRATTENTHALER
An entry of Ramanujan on hypergeometric series in his notebooks,
J. Comp. Appl. Math. 173, 2005 239--246.
- 197.
- K. SRINIVASA RAO and G. VANDEN BERGHE,
On an Entry of Ramanujan in his Notebooks, a nested roots expansion, J.
Comp. Appl. Math., Letters Section 173, 2005, 371--378.
- 198.
- M. VAN DAELE and G. VANDEN BERGHE,
Extended one-step methods: an exponential fitting approach,Applied Numerical
Analysis and Computational Mathematics (ANACM) 1 (2004) 353--362
- 199.
- M. VAN DAELE, G. VANDEN BERGHE and H. VAN DE VYVER,
Exponentially fitted quadrature rules of Gauss type for oscillatory
integrands, Applied Numerical Mathematics 53, 2005, 509--526.
- 200.
- G. VANDEN BERGHE,
Exponential fitting: General Approach and applications for ODE-solvers
Proceedings of International Conference on Mathematics and its
applications (ICMA 2004), april 5-7 2004, State of Kuwait, p.75--91
- 201.
- V. LEDOUX, M. VAN DAELE and G. VANDEN BERGHE,
CP methods and the evaluation of negative energy Coulomb Whittaker
functions, J. Comp. Appl. Math. 183, (2005) 168--176.
- 202.
- G. VANDEN BERGHE and M. VAN DAELE
Exponentially-fitted geometric numerical integration,
Extended abstracts of ICNAAM 2005, 31--34.
- 203.
- V. LEDOUX, M. VAN DAELE and G. VANDEN BERGHE,
High order CP methods for the numerical solution of Schrödinger
problems,
Extended abstracts of ICNAAM 2005,858--861.
- 204.
- V. LEDOUX, M. VAN DAELE and G. VANDEN BERGHE,
Matslise: A Matlab package for the Numerical Solution of Sturm-Liouville
and
Schrödinger equations, ACM Transactions on Mathematical Software
31, 2005, 532 - 554.
- 205.
- V. LEDOUX, M. VAN DAELE and G. VANDEN BERGHE,
CPM{P,N} methods extended for the solution of coupled channel
Schrödinger equations, Computer Physics Communications 174,
2006, 357--370
- 206.
- V. LEDOUX, M. VAN DAELE and G. VANDEN BERGHE,
Piecewise Constant Perturbation Methods for the Multichannel
Schrödinger Equation,
Extended abstract of ICCS, Lecture Notes in Computer Science 3994
(2006), 716--723.
- 207.
- V. LEDOUX, M. RIZEA, L. IXARU, G. VANDEN BERGHE and M. VAN DAELE,
Solution of the Schrödinger equation by a high order perturbation
method based on a linear reference potential
Computer Physics Communications 175, 2006, 424--439.
- 208.
- G. VANDEN BERGHE and M. VAN DAELE
Exponentially-fitted Obrechkoff methods for second-order differential
equations,Extended abstracts of ICNAAM 2006, 11--14
- 209.
- V. LEDOUX, M. VAN DAELE and G. VANDEN BERGHE
Some Improvements to the MATSLISE package
Extended abstracts of ICNAAM 2006, 187-190.
- 210.
- V. LEDOUX. L. IXARU, M. RIZEA, M. VAN DAELE and G. VANDEN BERGHE
Solution of the Schrödinger equation over an infinite integration
interval by perturbation methods, revisited, Computer Physics
Communications 175, 2006, 612--619.
- 211.
- G. VANDEN BERGHE
Brain drain, Nil nove sub sole, A historical approach, Sartoniana
19,
(2006), 245-283.
- 212.
- G. VANDEN BERGHE and M. VAN DAELE,
Exponentially-fitted Störmer/Verlet methods,
Journal of Numerical Analysis, Industrial and Applied Mathematics (JNAIAM)
1, 2006, 237-251.
- 213.
- K. SRINIVASA RAO and G. VANDEN BERGHE,
Revisiting a Chapter from the Notebooks of Ramanujan on Hypergeometric
Series,
Ganita Bharati 28, 2006, 7--38.
- 214.
- G. VANDEN BERGHE and M. VAN DAELE,
Exponentially-fitted Numerov methods,
J. Comp. Appl. Math. 200, 2007, 140--153.
- 215.
- V. LEDOUX, M. VAN DAELE and G. VANDEN BERGHE,
A numerical procedure to solve the multichannel Schrödinger eigenvalue
problem.
Computer Physcis Communications 176, 2007, 191--199.
- 216.
- M. VAN DAELE and G. VANDEN BERGHE,
Geometric numerical integration by means of exponentially fitted methods,
APNUM 57, 2007, 415--435
- 217.
- M. VAN DAELE and G. VANDEN BERGHE,
P-stable Obrechkoff methods of arbitrary order for second-order
differential equations, Numerical Algorithms 44, 2007, 115-131
- 218.
- G. VANDEN BERGHE and M. VAN DAELE
Tuned methods for fourth order boundary problems,Extended abstracts of
ICNAAM 2007, AIP Conference Proceeding 936, 2007, 3--6
- 219.
- J. T. DEVREESE and G. VANDEN BERGHE
Magic is no magic, The Wonderful World of Simon Stevin, WIT-Press (2007),
ISBN 978-1-84564-092-7,
- 220.
- M. VAN DAELE and G. VANDEN BERGHE,
P-stable exponentially-fitted Obrechkoff methods of arbitrary order for
second-order differential equations, Numerical Algorithms 46, 2007,
333--350
- 221.
- J.T. DEVREESE and G. VANDEN BERGHE,
Simon, Stevin, Flemish Tutor of a Dutch Prince,
The Biographical Encyclopedia of Astronomers, Springer New York,
Thomas Hockey (editor-in-chief) (2007)(ISBN 978-0-387-31022-0) part 19, p.
1086-1087
- 222.
- J. BOUCKAERT and G. VANDEN BERGHE
Brain Drain, Themaphila 193,194 , 2008, 36--52.
- 223.
- G. VANDEN BERGHE
Preface in Ishango, 22000 and 50 years later: the craddle of mathematics?
Contactformum, Koninklijke Vlaamse Academie van Belgie voor Wetenschappen
en Kunsten, 2008 , 11-12.
- 224.
- G. VANDEN BERGHE
Numerical solutions of Ordinary Differential Equations. The exponential
fitting approach: an actual status.
Proceedings of the 2008 Intenrational Conference on Computational and
Mathematical Methods in Science and Engineering, Editor J. Vigo-Aguiar,
ISBN 978-84-612-1982-7, (2008) 663-666.
- 225.
- V. LEDOUX, M. VAN DAELE and G. VANDEN BERGHE,
Using a (higher-order) Magnus method to solve
the Sturm-Liouville problem
Extended abstract of ICCS, Lecture Notes in Computer Science vol. 5101
(2008) 1032-1041
- 226.
- M. RIZEA , V. LEDOUX, M. VAN DAELE , G. VANDEN BERGHE and
N. CARJAN,
Finite difference approach for the two-dimensional Schrödinger
equation with application to scission-neutron emission,
Computer Physcis Communication 179 (2008) 466--478.
- 227.
- D. HOLLEVOET, M. VAN DAELE and G. VANDEN BERGHE
On the leading error term of exponentially fitted Numerov methods
Extended abstracts of ICNAAM 2008, AIP Conference Proceedings 1048 (2008)
884--887.
- 228.
- M. VAN DAELE, D. HOLLEVOET and G. VANDEN BERGHE
Exponentially-fitted methods applied to fourth-order boundary value
problems,
Extended abstracts of ICNAAM 2008, AIP Conference Proceedings 1048 (2008)
900-903.
- 229.
- G. VANDEN BERGHE and M. VAN DAELE,
Trigonometric polynomial or exponential fitting approach?,
Extended abstracts of ICNAAM 2008, AIP Conference Proceedings 1048 (2008)
1002--1005.
- 230.
- J. T. DEVREESE and G. VANDEN BERGHE
Magic is no magic, The Wonderful World of Simon Stevin, WIT-Press (2008),
paperback, ISBN 978-1-84564-391-1
- 231.
- G. VANDEN BERGHE and M. VAN DAELE,
Exponentially-fitted Obrechkoff methods for second-order differential
equations, APNUM 59 (2009) 815--829
- 232.
- V. LEDOUX, M. VAN DAELE and G. VANDEN BERGHE,
Efficient computation of high index
Sturm-Liouville eigenvalues for problems in
physics, CPC 180 (2009) 241-250
- 233.
- V. LEDOUX, M. RIZEA, M. VAN DAELE, G. VANDEN BERGHE, I.
SILISTEANU
Eigenvalue problem for a coupled channel Schrödinger equation
with application to the description of deformed nuclear systems,
JCAM 228 (2009) 197--211
- 234.
- D. HOLLEVOET, M. VAN DAELE and G. VANDEN BERGHE
The optimal exponentially-fitted Numerov
method for solving two-point boundary value
problems, JCAM 230 (2009) 260--269
- 235.
- G. VANDEN BERGHE
Simon Stevin , een BBB-er avant la lettre,
Brugge die Scone 30 (2009) 17--19
- 236.
- M.V. BULATOV and G. VANDEN BERGHE
Two-step fourth order methods for
linear ODEs of the second order, Numerical Algorithms 51 (2009)
449--460
- 237.
- M. VAN DAELE, D. HOLLEVOET and G. VANDEN BERGHE
Multiparameter exponentially-fitted methods applied to second-order
boundary value problems
Extended abstracts of ICNAAM 2009, AIP Conference Proceedings 1168(2009)
750--753.
- 238.
- G. VANDEN BERGHE and M. VAN DAELE
Trigonometric polynomial or exponential fitting approach?, JCAM
233 (2009) 969--979
- 239.
- J.T. DEVREESE and G. VANDEN BERGHE
Magic is no magic (Japanese version), Ashakura Publishing Company
(2009) ISBN 978-4-254-10642-8.C3340 (496 pages).
- 240.
- G. VANDEN BERGHE and M. VAN DAELE
Exponentially-fitted open Newton-Cotes differential methods as
multilayer symplectic integrators, Journal of Chemical Physics
132(2010) 204107-1 204107-8.
- 241.
- G. VANDEN BERGHE and M. VAN DAELE
Symplectic exponentially-fitted modified Runge-Kutta Gauss methods,
Proceedings of the 10th International Conference
on Computational and Mathematical Methods
in Science and Engineering, CMMSE 2010, 2010, 945-960
- 242.
- V. LEDOUX, M. VAN DAELE and G. VANDEN BERGHE
Efficient numerical solution of the 1D Schrödinger eigenvalue
problem
using Magnus integrators, IMA Journal of Numerical Analysis 30
2010, 751--776.
- 243.
- M. VAN DAELE, D. HOLLEVOET and G. VANDEN BERGHE
Three-stage two-parameter symplectic, symmetric exponentially-fitted
Runge-Kutta methods of Gauss type,
Extended abstracts of ICNAAM 2010, AIP Conference Proceedings 1281 (2010)
251--254.
- 244.
- D. HOLLEVOET, M. VAN DAELE and G. VANDEN BERGHE
The use of Exponentially Fitted Methods in a Deferred Correction
Framework,
Extended abstracts of ICNAAM 2010, AIP Conference Proceedings 1281 (2010)
223--226.
- 245.
- G. VANDEN BERGHE and M. VAN DAELE
Fourth-order symplectic exponentially-fitted modified
Runge-Kutta methods of the Gauss type: a review, Monografías de la Real
Academia de Ciencias de Zaragoza 30 (2010) 55--70.
(pdf-versie)
- 246.
- G. VANDEN BERGHE and J.T. DEVREESE
Simon Stevin and the Art of War, in Boeken van krijgshistorie (Nederlandse
Defensie Academie 2010) edt Louis Ph. Sloos, 91-118.
word-file
- 247.
- J. VIGO-AGUIAR and G. VANDEN BERGHE, edts
Advances in computational and mathematical methods in science and
engineering, Journal of Computational and Applied Mathematics
235,(2011)pp. 1745-1884 .
- 248.
- G. VANDEN BERGHE and M. VAN DAELE
Symplectic exponentially-fitted modified Runge-Kutta methods of the
Gauss type: revisited
Recent Advances in Computational and Applied Mathematics , Chapter 13,
Springer Sciences, DOI
10.1007/978-90-481-9981-5_13 (2011)289--306
- 249.
- G. VANDEN BERGHE and M. VAN DAELE
Symplectic exponentially-fitted four-stage Runge-Kutta methods of the
Gauss type, Numerical Algorithms 56(2011) 591--608.
- 250.
- D. HOLLEVOET, M. VAN DAELE and G. VANDEN BERGHE
Exponentially-fitted methods applied to
fourth-order boundary value problems, JCAM 235 (2011) 5380--5393.
- 251.
- M.V. BULATOV, T.V. AMOCOVA and G. VANDEN BERGHE
Non classic difference schemes for ordinary differential equations of
the second order (initial value problems), Proceedings of the Middle Volga
Mathematical Society 13 (2011) 22--28.
- 252.
- G. VANDEN BERGHE, M. VAN DAELE and D. HOLLEVOET
Exponentially-fitted methods - Searching the frequency -
Extended abstracts of ICNAAM 2011, AIP Conference Proceedings 1389 (2011)
20-23.
- 253.
- D. HOLLEVOET, M. VAN DAELE and G. VANDEN BERGHE
The use of exponentially fitted methods in a deferred correction
framework, Applied Numerical Mathematics (in press) (pdf-versie)
Guido Vanden Berghe
1/10/2011