March 2001 - 010302
Recent papers on numerical methods of Fractional Calculus by K. Diethelm

Priv.-Doz. Dr. Kai Diethelm
Institut für Angewandte Mathematik
Technische Universität Braunschweig
Pockelsstraße 14
38106 Braunschweig
Tel. +49 531 391-7541 Fax +49 531 391-8206
E-mail: K.Diethelm@tu-bs.de            www-public.tu-bs.de:8080/~diethelm/

32. (with Yu. Luchko)
Numerical solution of linear multi-term differential equations of fractional order.
Berichte der Mathematischen Institute der Technischen Universitaet Braunschweig 2000/18

31. (with N. J. Ford)
Numerical solution of the Bagley-Torwik equation. Berichte der Mathematischen Institute der Technischen Universitaet Braunschweig 2000/14

30. (with N. J. Ford)
Analysis of fractional differential equations.
J. Math. Anal. Appl., to appear.

25. Estimation of Quadrature Errors in Terms of Caputo-Type Fractional Derivatives.
Fract. Calc. Appl. Anal. 2 (1999), 313-327.

23 (with A. D. Freed)
The FracPECE Subroutine for the Numerical Solution of Differential Equations of Fractional Order.
In S. Heinzel, T. Plesser (eds.): Forschung und wissenschaftliches Rechnen: Beitraege zum Heinz-Billing-Preis 1998. Gesellschaft fuer wissenschaftliche Datenverarbeitung, Göttingen (1999), 57-71

21. (with A. D. Freed)
On the Solution of Nonlinear Fractional-Order Differential Equations Used in the Modeling of Viscoplasticity.
In F. Keil, W. Mackens, H. Voss, J. Werther (eds.): Scientific Computing in Chemical Engineering II. Computational Fluid Dynamics, Reaction Engineering, and Molecular Properties. Springer-Verlag, Heidelberg (1999), 217-224.

17. (with G. Walz)
Numerical Solution of Fractional Order Differential Equations by Extrapolation Numer.
Algorithms 16 (1997), 231-253.

12. An Algorithm for the Numerical Solution of Differential Equations of Fractional Order.
Elec. Transact. Numer. Anal. 5 (1997), 1-6.