Publications

  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.