Diethelm, Kai An efficient parallel algorithm for the numerical solution of fractional differential equations. (English) Zbl 1273.65101 Fract. Calc. Appl. Anal. 14, No. 3, 475-490 (2011). MSC: 65L06 34A08 65R20 45J05 65Y05 68W10 PDFBibTeX XMLCite \textit{K. Diethelm}, Fract. Calc. Appl. Anal. 14, No. 3, 475--490 (2011; Zbl 1273.65101) Full Text: DOI
Diethelm, Kai; Ford, Judith M.; Ford, Neville J.; Weilbeer, Marc Pitfalls in fast numerical solvers for fractional differential equations. (English) Zbl 1078.65550 J. Comput. Appl. Math. 186, No. 2, 482-503 (2006). MSC: 65L05 PDFBibTeX XMLCite \textit{K. Diethelm} et al., J. Comput. Appl. Math. 186, No. 2, 482--503 (2006; Zbl 1078.65550) Full Text: DOI
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu. Algorithms for the fractional calculus: a selection of numerical methods. (English) Zbl 1119.65352 Comput. Methods Appl. Mech. Eng. 194, No. 6-8, 743-773 (2005). MSC: 65L05 26A33 34A34 65D32 65D25 65E05 PDFBibTeX XMLCite \textit{K. Diethelm} et al., Comput. Methods Appl. Mech. Eng. 194, No. 6--8, 743--773 (2005; Zbl 1119.65352) Full Text: DOI Link
Diethelm, Kai; Ford, Neville J. Analysis of fractional differential equations. (English) Zbl 1014.34003 J. Math. Anal. Appl. 265, No. 2, 229-248 (2002). Reviewer: Ismail Taqi Ali (Safat) MSC: 34A25 26A33 34A45 65L05 PDFBibTeX XMLCite \textit{K. Diethelm} and \textit{N. J. Ford}, J. Math. Anal. Appl. 265, No. 2, 229--248 (2002; Zbl 1014.34003)
Diethelm, Kai Error bounds for spline-based quadrature methods for strongly singular integrals. (English) Zbl 0908.41022 J. Comput. Appl. Math. 89, No. 2, 257-261 (1998); erratum ibid. 142, No. 2, 449-450 (2002). Reviewer: L.Gatteschi (Torino) MSC: 41A55 41A80 41A15 PDFBibTeX XMLCite \textit{K. Diethelm}, J. Comput. Appl. Math. 89, No. 2, 257--261 (1998; Zbl 0908.41022) Full Text: DOI