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Publicaties

 

1
M. VAN DAELE, H. DE MEYER, G. VANDEN BERGHE
A modified Numerov integration method for general second order initial value problems.

Int. J. Computer Math. 40, 1991, 117--127.

 

2
M. VAN DAELE, H. DE MEYER, 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.

 

3
G. VANDEN BERGHE, H. DE MEYER, M. VAN DAELE
A parallell approach to the modified Numerov--like eigenvalue determination for Sturm--Liouville problems.

Computers & Math. with Appl. 23, 1992, 69--74.

 

4
G. VANDEN BERGHE, M. VAN DAELE, 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.

 

5
M. VAN DAELE, G. VANDEN BERGHE, 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. with Appl. 24, 1992, 55--76.

 

6
H. DE MEYER, M. VAN DAELE, G. VANDEN BERGHE
On the implementation of parallel iterated Runge-Kutta methods on a transputer network.

Applied Numerical Mathematics 13, 1993, 155--163.

 

7
M. VAN DAELE, G. VANDEN BERGHE, H. DE MEYER
Numerical integration based on mixed-type interpolation for a fourth-order boundary-value problem.

Computers & Math. with Appl. 27, 1994, 55-65.

 

8
G. VANDEN BERGHE, M. VAN DAELE, H. DE MEYER
Accurate high-lying eigenvalues of Schrödinger and Sturm-Liouville problems.

Physics Letters A 193, 1994, 341 -- 347.

 

9
M. VAN DAELE, G. VANDEN BERGHE, H. DE MEYER
A smooth approximation for the solution of a fourth order boundary value problem based on non--polynomial splines.

J. Comput. & Appl. Math. 51, 1994, 383--394.

 

10
G. VANDEN BERGHE, M. VAN DAELE, H. DE MEYER
A modified difference scheme for periodic and semiperiodic Sturm-Liouville problems.

Applied Numerical Mathematics 18, 1995, 69--78.

 

 
11
M. VAN DAELE, G. VANDEN BERGHE, H. DE MEYER
Properties and implementation of r-Adams methods based on mixed-type interpolation.

Computers & Math. with Applic. 30, 1995, 37-54.

 

12
G. VANDEN BERGHE, H. DE MEYER, M. VAN DAELE
Exact solutions for radial Schrödinger equations.

Intern. J. of Theor. Phys. 34, 1995, 1931-1937.

 

13
L. IXARU, H. DE MEYER, G. VANDEN BERGHE, M. VAN DAELE
A regularization procedure for

Numerical Linear Algebra with Applications, 3, 1996, 81-90.

 

14
M. VAN DAELE, G. VANDEN BERGHE, H. DE MEYER
A general theory of stabilized extended one-step methods for ODEs.

Int. J. Computer Math. 60, 1996, 253--263.

 

15
H. DE MEYER, T. VAN HECKE, G. VANDEN BERGHE en M. VAN DAELE
Multistride L-stable fourth-order methods for the numerical solution of ODEs.

Computers Math. Applic. 32, 1996, 1--8.

 

16
T. VAN HECKE, G. VANDEN BERGHE, M. VAN DAELE en H. DE MEYER
A variable-step variable-order algorithm for systems of stiff ODEs.

Intern. J. Computer Math. 63, 1997, 149--157.

 

17
L. IXARU, G. VANDEN BERGHE, H. DE MEYER, M. VAN DAELE
Four-step exponential-fitted methods for nonlinear physical problems.

Computer Physics Comm. 100, 1997, 56--70.

 

18
L. IXARU, H. DE MEYER, G. VANDEN BERGHE, 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.

 

19
T. VAN HECKE, M. VAN DAELE, G. VANDEN BERGHE en H. DE MEYER
A mono-implicit Runge-Kutta-Nystrom modification of the Numerov method.

J. Comp. & Appl. Math. 78, 1997, 161--178.

 

20
M. VAN DAELE, G. VANDEN BERGHE en H. DE MEYER
Explicit fifth order Runge-Kutta methods with five stages for quadratic ODEs. in : Numerical Analysis and Its Applications; First International Workshop, proceedings WNAA'96, Rousse, Bulgaria 1996; Ed L. Vulkov, J. Wasniewski and P. Yalamov, (Springer, Berlin);

Lecture notes in Computer Science, 1196, 1997, 528--535.

 

21
T. VAN HECKE, M. VAN DAELE, G. VANDEN BERGHE en H. DE MEYER
P-stable mono-implicit Runge-Kutta-Nyström modifications of the Numerov method. in : Numerical Analysis and Its Applications; First International Workshop, proceedings WNAA'96, Rousse, Bulgaria 1996; Ed L. Vulkov, J. Wasniewski and P. Yalamov, (Springer, Berlin);

Lecture notes in Computer Science, 1196, 1997, 536--545.