-
1
-
-
0021477067
-
Product integration methods for second-kind Abel integral equations
-
R.F. Cameron and S. McKee, Product integration methods for second-kind Abel integral equations, J. Comput. Appl. Math. 11 (1984), pp. 1-10.
-
(1984)
J. Comput. Appl. Math.
, vol.11
, pp. 1-10
-
-
Cameron, R.F.1
McKee, S.2
-
2
-
-
84966251516
-
Asymptotic expansions for product integration
-
F. de Hoog and R.Weiss, Asymptotic expansions for product integration, Math. Comp. 27 (1973), pp. 295-306.
-
(1973)
Math. Comp.
, vol.27
, pp. 295-306
-
-
De Hoog, F.1
Weiss, R.2
-
3
-
-
0348158242
-
Efficient solution of multi-term fractional differential equations using P(EC)mE methods
-
K. Diethelm, Efficient solution of multi-term fractional differential equations using P(EC)mE methods, Computing 71 (2003), pp. 305-319.
-
(2003)
Computing
, vol.71
, pp. 305-319
-
-
Diethelm, K.1
-
4
-
-
0037081673
-
Analysis of fractional differential equations
-
K. Diethelm and N.J. Ford, Analysis of fractional differential equations, J. Math.Anal.Appl. 265 (2002), pp. 229-248.
-
(2002)
J. Math.Anal.Appl.
, vol.265
, pp. 229-248
-
-
Diethelm, K.1
Ford, N.J.2
-
5
-
-
0010186169
-
The FracPECE subroutine for the numerical solution of differential equations of fractional order
-
eds. S. Heinzel, and T. Plesser, Gessellschaft für wissenschaftliche Datenverarbeitung, Göttingen
-
K. Diethelm, and A.D. Freed, The FracPECE subroutine for the numerical solution of differential equations of fractional order, in Forschung und Wissenschaftliches Rechnen 1998, eds. S. Heinzel, and T. Plesser, Gessellschaft für wissenschaftliche Datenverarbeitung, Göttingen, 1999, pp. 57-71.
-
(1999)
Forschung und Wissenschaftliches Rechnen 1998
, pp. 57-71
-
-
Diethelm, K.1
Freed, A.D.2
-
6
-
-
0043044718
-
Numerical solution of fractional order differential equations by extrapolation
-
K. Diethelm and G. Walz, Numerical solution of fractional order differential equations by extrapolation, Numer. Algorithms 16 (1997), pp. 231-253.
-
(1997)
Numer. Algorithms
, vol.16
, pp. 231-253
-
-
Diethelm, K.1
Walz, G.2
-
7
-
-
0036650479
-
A predictor-corrector approach for the numerical solution of fractional differential equations
-
K. Diethelm, N.J. Ford, and A.D. Freed, A predictor-corrector approach for the numerical solution of fractional differential equations, Nonlinear Dynam. 29 (2002), pp. 3-22.
-
(2002)
Nonlinear Dynam.
, vol.29
, pp. 3-22
-
-
Diethelm, K.1
Ford, N.J.2
Freed, A.D.3
-
8
-
-
4043121080
-
Detailed error analysis for a fractional Adams method
-
K. Diethelm, N.J. Ford, and A.D. Freed, Detailed error analysis for a fractional Adams method, Numer. Algorithms 36 (2004), pp. 31-52.
-
(2004)
Numer. Algorithms
, vol.36
, pp. 31-52
-
-
Diethelm, K.1
Ford, N.J.2
Freed, A.D.3
-
9
-
-
0003504382
-
-
2nd ed., UndergraduateTexts in Mathematics, Springer-Verlag, NewYork
-
S.N. Elaydi, An Introduction to Difference Equations, 2nd ed., UndergraduateTexts in Mathematics, Springer-Verlag, NewYork, 1999.
-
(1999)
An Introduction to Difference Equations
-
-
Elaydi, S.N.1
-
10
-
-
56949091229
-
Fractional adams-moulton methods
-
L. Galeone and R. Garrappa, Fractional Adams-Moulton methods, Math. Comput. Simulat. 79 (2008), pp. 1358- 1367.
-
(2008)
Math. Comput. Simulat.
, vol.79
, pp. 1358-1367
-
-
Galeone, L.1
Garrappa, R.2
-
11
-
-
67349208958
-
On some explicit Adams multistep methods for fractional differential equations
-
R. Garrappa, On some explicit Adams multistep methods for fractional differential equations, J. Comput. Appl. Math. 229 (2009), pp. 392-399.
-
(2009)
J. Comput. Appl. Math.
, vol.229
, pp. 392-399
-
-
Garrappa, R.1
-
12
-
-
0001287486
-
Fast numerical solution of nonlinear Volterra convolution equations
-
E. Hairer, C. Lubich, and M. Schlichte, Fast numerical solution of nonlinear Volterra convolution equations, SIAM J. Sci. Statist. Comput. 6 (1985), pp. 532-541.
-
(1985)
SIAM J. Sci. Statist. Comput.
, vol.6
, pp. 532-541
-
-
Hairer, E.1
Lubich, C.2
Schlichte, M.3
-
13
-
-
0008444945
-
Fast numerical solution of weakly singular Volterra integral equations
-
E. Hairer, C. Lubich, and M. Schlichte, Fast numerical solution of weakly singular Volterra integral equations, J. Comput. Appl. Math. 23 (1988), pp. 87-98.
-
(1988)
J. Comput. Appl. Math.
, vol.23
, pp. 87-98
-
-
Hairer, E.1
Lubich, C.2
Schlichte, M.3
-
14
-
-
77956684069
-
Theory and applications of fractional differential equations
-
Elsevier Science B.V., Amsterdam
-
A.A. Kilbas, H.M. Srivastava, and J.J. Trujillo, Theory and Applications of Fractional Differential Equations, North- Holland Mathematics Studies, 204, Elsevier Science B.V., Amsterdam, 2006.
-
(2006)
North- Holland Mathematics Studies
, pp. 204
-
-
Kilbas, A.A.1
Srivastava, H.M.2
Trujillo, J.J.3
-
15
-
-
84962571892
-
Runge-Kutta theory forVolterra and Abel integral equations of the second kind
-
C. Lubich, Runge-Kutta theory forVolterra and Abel integral equations of the second kind,Math. Comput. 41 (1983), pp. 87-102.
-
(1983)
Math. Comput.
, vol.41
, pp. 87-102
-
-
Lubich, C.1
-
16
-
-
0000717432
-
Discretized fractional calculus
-
C. Lubich, Discretized fractional calculus, SIAM J. Math. Anal. 17 (1986), pp. 704-719.
-
(1986)
SIAM J. Math. Anal.
, vol.17
, pp. 704-719
-
-
Lubich, C.1
-
17
-
-
0041938913
-
A stability analysis of convolution quadratures for Abel-Volterra integral equations
-
C. Lubich, A stability analysis of convolution quadratures for Abel-Volterra integral equations, IMAJ. Numer. Anal. 6 (1986), pp. 87-101.
-
(1986)
IMAJ. Numer. Anal.
, vol.6
, pp. 87-101
-
-
Lubich, C.1
-
18
-
-
84968513661
-
Numerical quadrature and asymptotic expansions
-
J.N. Lyness and B.W. Ninham, Numerical quadrature and asymptotic expansions, Math. Comput. 21 (1967), pp. 162-178.
-
(1967)
Math. Comput.
, vol.21
, pp. 162-178
-
-
Lyness, J.N.1
Ninham, B.W.2
-
19
-
-
0003797958
-
-
Academic Press Inc., San Diego, CA
-
I. Podlubny, Fractional Differential Equations, Mathematics in Science and Engineering, vol. 198, Academic Press Inc., San Diego, CA, 1999.
-
(1999)
Fractional Differential Equations, Mathematics in Science and Engineering
, vol.198
-
-
Podlubny, I.1
-
20
-
-
11344274511
-
The application of approximate product integration to the numerical solution of integral equations
-
A.Young, The application of approximate product integration to the numerical solution of integral equations, Proc. R. Soc. Lond. Ser. A 224 (1954), pp. 561-573.
-
(1954)
Proc. R. Soc. Lond. Ser. A
, vol.224
, pp. 561-573
-
-
Young, A.1
|