-
1
-
-
26444438049
-
Pitfalls in fast numerical solvers for fractional differential equations
-
Diethelm K., Ford J.M., Ford N.J., and Weilbeer M. Pitfalls in fast numerical solvers for fractional differential equations. J. Comput. Appl. Math. 186 2 (2006) 482-503
-
(2006)
J. Comput. Appl. Math.
, vol.186
, Issue.2
, pp. 482-503
-
-
Diethelm, K.1
Ford, J.M.2
Ford, N.J.3
Weilbeer, M.4
-
2
-
-
0037081673
-
Analysis of fractional differential equations
-
Diethelm K., and Ford N.J. Analysis of fractional differential equations. J. Math. Anal. Appl. 265 2 (2002) 229-248
-
(2002)
J. Math. Anal. Appl.
, vol.265
, Issue.2
, pp. 229-248
-
-
Diethelm, K.1
Ford, N.J.2
-
3
-
-
0036650479
-
A predictor-corrector approach for the numerical solution of fractional differential equations
-
Fractional order calculus and its applications
-
Diethelm K., Ford N.J., and Freed A.D. A predictor-corrector approach for the numerical solution of fractional differential equations. Nonlinear Dynam. 29 1-4 (2002) 3-22 Fractional order calculus and its applications
-
(2002)
Nonlinear Dynam.
, vol.29
, Issue.1-4
, pp. 3-22
-
-
Diethelm, K.1
Ford, N.J.2
Freed, A.D.3
-
4
-
-
4043121080
-
Detailed error analysis for a fractional Adams method
-
Diethelm K., Ford N.J., and Freed A.D. Detailed error analysis for a fractional Adams method. Numer. Algorithms 36 1 (2004) 31-52
-
(2004)
Numer. Algorithms
, vol.36
, Issue.1
, pp. 31-52
-
-
Diethelm, K.1
Ford, N.J.2
Freed, A.D.3
-
5
-
-
10644238068
-
Algorithms for the fractional calculus: A selection of numerical methods
-
Diethelm K., Ford N.J., Freed A.D., and Luchko Y. Algorithms for the fractional calculus: A selection of numerical methods. Comput. Methods Appl. Mech. Engrg. 194 6-8 (2005) 743-773
-
(2005)
Comput. Methods Appl. Mech. Engrg.
, vol.194
, Issue.6-8
, pp. 743-773
-
-
Diethelm, K.1
Ford, N.J.2
Freed, A.D.3
Luchko, Y.4
-
6
-
-
33646341532
-
Comparison of numerical methods for fractional differential equations
-
Ford N.J., and Connolly J.A. Comparison of numerical methods for fractional differential equations. Commun. Pure Appl. Anal. 5 2 (2006) 289-306
-
(2006)
Commun. Pure Appl. Anal.
, vol.5
, Issue.2
, pp. 289-306
-
-
Ford, N.J.1
Connolly, J.A.2
-
7
-
-
33751534763
-
On multistep methods for differential equations of fractional order
-
Galeone L., and Garrappa R. On multistep methods for differential equations of fractional order. Mediterr. J. Math. 3 3-4 (2006) 565-580
-
(2006)
Mediterr. J. Math.
, vol.3
, Issue.3-4
, pp. 565-580
-
-
Galeone, L.1
Garrappa, R.2
-
8
-
-
56949091229
-
Fractional Adams-Moulton methods
-
in press doi:10.1016/j.matcom.2008.03.008
-
L. Galeone, R. Garrappa, Fractional Adams-Moulton methods. Math. Comput. Simul. (2008), in press (doi:10.1016/j.matcom.2008.03.008)
-
(2008)
Math. Comput. Simul
-
-
Galeone, L.1
Garrappa, R.2
-
9
-
-
64549112216
-
Explicit methods for fractional differential equations and their stability properties
-
in press doi:10.1016/j.cam.2008.03.025
-
L. Galeone, R. Garrappa, Explicit methods for fractional differential equations and their stability properties. J. Comput. Appl. Math. (2008), in press (doi:10.1016/j.cam.2008.03.025)
-
(2008)
J. Comput. Appl. Math
-
-
Galeone, L.1
Garrappa, R.2
-
10
-
-
0002847893
-
Fractional calculus: Integral and differential equations of fractional order
-
Fractals and Fractional Calculus in Continuum Mechanics (Udine, 1996), Springer, Vienna
-
Gorenflo R., and Mainardi F. Fractional calculus: Integral and differential equations of fractional order. Fractals and Fractional Calculus in Continuum Mechanics (Udine, 1996). CISM Courses and Lectures vol. 378 (1997), Springer, Vienna 223-276
-
(1997)
CISM Courses and Lectures
, vol.378
, pp. 223-276
-
-
Gorenflo, R.1
Mainardi, F.2
-
11
-
-
0002847893
-
Fractional calculus: Some numerical methods
-
Fractals and Fractional Calculus in Continuum Mechanics (Udine, 1996), Springer, Vienna
-
Gorenflo R. Fractional calculus: Some numerical methods. Fractals and Fractional Calculus in Continuum Mechanics (Udine, 1996). CISM Courses and Lectures vol. 378 (1997), Springer, Vienna 277-290
-
(1997)
CISM Courses and Lectures
, vol.378
, pp. 277-290
-
-
Gorenflo, R.1
-
12
-
-
0009173868
-
Automatic computations with power series
-
Henrici P. Automatic computations with power series. J. Assoc. Comput. Mach. 3 (1956) 10-15
-
(1956)
J. Assoc. Comput. Mach.
, vol.3
, pp. 10-15
-
-
Henrici, P.1
-
14
-
-
0000449295
-
On the stability of linear multistep methods for Volterra convolution equations
-
Lubich C. On the stability of linear multistep methods for Volterra convolution equations. IMA J. Numer. Anal. 3 4 (1983) 439-465
-
(1983)
IMA J. Numer. Anal.
, vol.3
, Issue.4
, pp. 439-465
-
-
Lubich, C.1
-
15
-
-
84962571892
-
Runge-Kutta theory for Volterra and Abel integral equations of the second kind
-
Lubich C. Runge-Kutta theory for Volterra and Abel integral equations of the second kind. Math. Comp. 41 163 (1983) 87-102
-
(1983)
Math. Comp.
, vol.41
, Issue.163
, pp. 87-102
-
-
Lubich, C.1
-
16
-
-
84966227123
-
Fractional linear multistep methods for Abel-Volterra integral equations of the second kind
-
Lubich C. Fractional linear multistep methods for Abel-Volterra integral equations of the second kind. Math. Comp. 45 172 (1985) 463-469
-
(1985)
Math. Comp.
, vol.45
, Issue.172
, pp. 463-469
-
-
Lubich, C.1
-
17
-
-
0000717432
-
Discretized fractional calculus
-
Lubich C. Discretized fractional calculus. SIAM J. Math. Anal. 17 3 (1986) 704-719
-
(1986)
SIAM J. Math. Anal.
, vol.17
, Issue.3
, pp. 704-719
-
-
Lubich, C.1
-
18
-
-
0041938913
-
A stability analysis of convolution quadratures for Abel-Volterra integral equations
-
Lubich C. A stability analysis of convolution quadratures for Abel-Volterra integral equations. IMA J. Numer. Anal. 6 1 (1986) 87-101
-
(1986)
IMA J. Numer. Anal.
, vol.6
, Issue.1
, pp. 87-101
-
-
Lubich, C.1
-
21
-
-
0008302291
-
The fractional calculus
-
Theory and Applications of Differentiation and Integration to Arbitrary Order, With an Annotated Chronological Bibliography by Bertram Ross, Academic Press, New York, London
-
Oldham K.B., and Spanier J. The fractional calculus. Theory and Applications of Differentiation and Integration to Arbitrary Order, With an Annotated Chronological Bibliography by Bertram Ross. Mathematics in Science and Engineering vol. 111 (1974), Academic Press, New York, London
-
(1974)
Mathematics in Science and Engineering
, vol.111
-
-
Oldham, K.B.1
Spanier, J.2
-
24
-
-
0007851839
-
The construction of reducible quadrature rules for Volterra integral and integro-differential equations
-
Wolkenfelt P.H.M. The construction of reducible quadrature rules for Volterra integral and integro-differential equations. IMA J. Numer. Anal. 2 2 (1982) 131-152
-
(1982)
IMA J. Numer. Anal.
, vol.2
, Issue.2
, pp. 131-152
-
-
Wolkenfelt, P.H.M.1
|