-
1
-
-
30244493399
-
Long memory processes and fractional integration in econometrics
-
Baillie R.T. Long memory processes and fractional integration in econometrics. J. Econometrics 73 (1996) 5-59
-
(1996)
J. Econometrics
, vol.73
, pp. 5-59
-
-
Baillie, R.T.1
-
2
-
-
54249119735
-
Numerical treatment of integral equations, Part A Abel and Volterra Equations
-
Mohamed J.L., and Walsh J.E. (Eds), Clarendon Press
-
Baker C.T.H. Numerical treatment of integral equations, Part A Abel and Volterra Equations. In: Mohamed J.L., and Walsh J.E. (Eds). Numerical Algorithms (1986), Clarendon Press
-
(1986)
Numerical Algorithms
-
-
Baker, C.T.H.1
-
3
-
-
54249165682
-
Stability Barriers to the Construction of {ρ, σ}-reducible and Fractional Quadrature Rules
-
Braß H., and Hämmerlin G. (Eds), Birkhäuser
-
Baker C.T.H., and Derakhshan M.S. Stability Barriers to the Construction of {ρ, σ}-reducible and Fractional Quadrature Rules. In: Braß H., and Hämmerlin G. (Eds). Numerical Integration III (1988), Birkhäuser
-
(1988)
Numerical Integration III
-
-
Baker, C.T.H.1
Derakhshan, M.S.2
-
5
-
-
36348976811
-
Fractional calculus: A mathematical tool from the past for present engineers
-
Cafagna D. Fractional calculus: A mathematical tool from the past for present engineers. IEEE Industrial Electronics Magazine summer (2007) 35-40
-
(2007)
IEEE Industrial Electronics Magazine
, Issue.summer
, pp. 35-40
-
-
Cafagna, D.1
-
6
-
-
22844448620
-
The analysis of product integration methods for Abel's equation using fractional differentiation
-
Cameron R.F., and McKee S. The analysis of product integration methods for Abel's equation using fractional differentiation. IMA J. Numer. Anal. 5 (1985) 339-353
-
(1985)
IMA J. Numer. Anal.
, vol.5
, pp. 339-353
-
-
Cameron, R.F.1
McKee, S.2
-
7
-
-
0001618393
-
An algorithm for numerical solution of differential equations of fractional order
-
Diethelm K. An algorithm for numerical solution of differential equations of fractional order. Elec. Trans. Numer. Anal. 5 (1997) 1-6
-
(1997)
Elec. Trans. Numer. Anal.
, vol.5
, pp. 1-6
-
-
Diethelm, K.1
-
8
-
-
26444438049
-
Pitfall in fast numerical solvers for fractional differential equations
-
Diethelm K., Ford J.M., Ford N.J., and Weilbeer M. Pitfall in fast numerical solvers for fractional differential equations. J. Comput. Appl. Math. 186 (2006) 482-503
-
(2006)
J. Comput. Appl. Math.
, vol.186
, pp. 482-503
-
-
Diethelm, K.1
Ford, J.M.2
Ford, N.J.3
Weilbeer, M.4
-
9
-
-
84968518390
-
Truncation errors in two Chebyshev series approximations
-
Elliott D. Truncation errors in two Chebyshev series approximations. Math. Comput. 19 (1965) 234-248
-
(1965)
Math. Comput.
, vol.19
, pp. 234-248
-
-
Elliott, D.1
-
10
-
-
0031199781
-
On the role of fractional calculus in electromagnetic theory
-
Engheta N. On the role of fractional calculus in electromagnetic theory. IEEE Antennas Propagation Mag. 39 (1997) 35-46
-
(1997)
IEEE Antennas Propagation Mag.
, vol.39
, pp. 35-46
-
-
Engheta, N.1
-
11
-
-
84976798302
-
Implementing Clenshaw-Curtis quadrature II. Computing the cosine transformation
-
Gentleman W.M. Implementing Clenshaw-Curtis quadrature II. Computing the cosine transformation. Comm. ACM 15 (1972) 343-346
-
(1972)
Comm. ACM
, vol.15
, pp. 343-346
-
-
Gentleman, W.M.1
-
12
-
-
0002847893
-
Fractional calculus: Some numerical methods
-
Carpinteri A., and Mainardi F. (Eds), Springer
-
Gorenflo R. Fractional calculus: Some numerical methods. In: Carpinteri A., and Mainardi F. (Eds). Fractals and Fractional Calculus in Continuum Mechanics (1997), Springer 277-290
-
(1997)
Fractals and Fractional Calculus in Continuum Mechanics
, pp. 277-290
-
-
Gorenflo, R.1
-
13
-
-
0031357295
-
Numerical integration of functions with poles near the interval of integration
-
Hasegawa T. Numerical integration of functions with poles near the interval of integration. J. Comput. Appl. Math. 87 (1997) 339-357
-
(1997)
J. Comput. Appl. Math.
, vol.87
, pp. 339-357
-
-
Hasegawa, T.1
-
14
-
-
34247376984
-
Quadrature rule for indefinite integral of algebraic-logarithmic singular integrands
-
Hasegawa T., and Sugiura H. Quadrature rule for indefinite integral of algebraic-logarithmic singular integrands. J. Comp. Appl. Math. 205 (2007) 487-496
-
(2007)
J. Comp. Appl. Math.
, vol.205
, pp. 487-496
-
-
Hasegawa, T.1
Sugiura, H.2
-
15
-
-
38149144319
-
Application of a modified FFT to product type integration
-
Hasegawa T., and Torii T. Application of a modified FFT to product type integration. J. Comp. Appl. Math. 38 (1991) 157-168
-
(1991)
J. Comp. Appl. Math.
, vol.38
, pp. 157-168
-
-
Hasegawa, T.1
Torii, T.2
-
16
-
-
84966226301
-
Generalized Chebyshev interpolation and its application to automatic quadrature
-
Hasegawa T., Torii T., and Ninomiya I. Generalized Chebyshev interpolation and its application to automatic quadrature. Math. Comput. 41 (1983) 537-553
-
(1983)
Math. Comput.
, vol.41
, pp. 537-553
-
-
Hasegawa, T.1
Torii, T.2
Ninomiya, I.3
-
17
-
-
0012680475
-
An algorithm based on the FFT for a generalized Chebyshev interpolation
-
Hasegawa T., Torii T., and Sugiura H. An algorithm based on the FFT for a generalized Chebyshev interpolation. Math. Comput. 54 (1990) 195-210
-
(1990)
Math. Comput.
, vol.54
, pp. 195-210
-
-
Hasegawa, T.1
Torii, T.2
Sugiura, H.3
-
19
-
-
33846180099
-
Mechanical quadrature methods and their extrapolation for solving first kind Abel integral equations
-
Liu Y.-p., and Tao L. Mechanical quadrature methods and their extrapolation for solving first kind Abel integral equations. J. Comp. Appl. Math. 201 (2007) 300-313
-
(2007)
J. Comp. Appl. Math.
, vol.201
, pp. 300-313
-
-
Liu, Y.-p.1
Tao, L.2
-
20
-
-
0030464353
-
Fractional relaxation-oscillation and fractional diffusion-wave phenomena
-
Mainardi F. Fractional relaxation-oscillation and fractional diffusion-wave phenomena. Chaos Solitons Fractals 7 (1996) 1461-1477
-
(1996)
Chaos Solitons Fractals
, vol.7
, pp. 1461-1477
-
-
Mainardi, F.1
-
21
-
-
34247367101
-
Some aspects of fractional diffusion equations of single and distributed order
-
Mainardi F., Pagnini G., and Gorenflo R. Some aspects of fractional diffusion equations of single and distributed order. Appl. Math. Comput. 187 (2007) 295-305
-
(2007)
Appl. Math. Comput.
, vol.187
, pp. 295-305
-
-
Mainardi, F.1
Pagnini, G.2
Gorenflo, R.3
-
23
-
-
18144408075
-
Anomalous diffusion and relaxation close to thermal equilibrium: A fractional Fokker-Planck equation approach
-
Metzler R., Barkai E., and Klafter J. Anomalous diffusion and relaxation close to thermal equilibrium: A fractional Fokker-Planck equation approach. Phys. Rev. Lett. 82 (1999) 3563-3567
-
(1999)
Phys. Rev. Lett.
, vol.82
, pp. 3563-3567
-
-
Metzler, R.1
Barkai, E.2
Klafter, J.3
-
24
-
-
34247341658
-
On the Riemann-Liouville fractional calculus, g-Jacobi functions and F-Gauss functions
-
Mirevski S.P., Boyadjiev L., and Scherer R. On the Riemann-Liouville fractional calculus, g-Jacobi functions and F-Gauss functions. Appl. Math. Comput. 187 (2007) 315-325
-
(2007)
Appl. Math. Comput.
, vol.187
, pp. 315-325
-
-
Mirevski, S.P.1
Boyadjiev, L.2
Scherer, R.3
-
25
-
-
33746208811
-
Approximations of fractional integrals and Caputo fractional derivatives
-
Odibat Z. Approximations of fractional integrals and Caputo fractional derivatives. Appl. Math. Comput. 178 (2006) 527-533
-
(2006)
Appl. Math. Comput.
, vol.178
, pp. 527-533
-
-
Odibat, Z.1
-
26
-
-
0034274840
-
Computing integral transforms and solving integral equations using Chebyshev polynomial approximations
-
Piessens R. Computing integral transforms and solving integral equations using Chebyshev polynomial approximations. J. Comp. Appl. Math. 121 (2000) 113-124
-
(2000)
J. Comp. Appl. Math.
, vol.121
, pp. 113-124
-
-
Piessens, R.1
-
27
-
-
27744566328
-
The accuracy of the Chebyshev differencing method for analytic functions
-
Reddy S.C., and Weideman J.A.C. The accuracy of the Chebyshev differencing method for analytic functions. SIAM J. Numer. Anal. 42 (2005) 2176-2187
-
(2005)
SIAM J. Numer. Anal.
, vol.42
, pp. 2176-2187
-
-
Reddy, S.C.1
Weideman, J.A.C.2
-
29
-
-
40749154941
-
Is Gauss quadrature better than Clenshaw-Curtis?
-
Trefethen L.N. Is Gauss quadrature better than Clenshaw-Curtis?. SIAM Rev. 50 (2008) 67-87
-
(2008)
SIAM Rev.
, vol.50
, pp. 67-87
-
-
Trefethen, L.N.1
-
30
-
-
33645037515
-
Fast construction of the Fejér and Clenshaw-Curtis quadrature rules
-
Waldvogel J. Fast construction of the Fejér and Clenshaw-Curtis quadrature rules. BIT 46 (2006) 195-202
-
(2006)
BIT
, vol.46
, pp. 195-202
-
-
Waldvogel, J.1
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