-
1
-
-
34648831966
-
Fractional-order anisotropic diffusion for image denoising
-
Bai J., Feng X. Fractional-order anisotropic diffusion for image denoising. IEEE Trans. Image Proc. 2007, 16:2492-2502.
-
(2007)
IEEE Trans. Image Proc.
, vol.16
, pp. 2492-2502
-
-
Bai, J.1
Feng, X.2
-
4
-
-
41449095257
-
Numerical solutions for fractional reaction-diffusion equations
-
Beumer B., Kovács M., Meerschaert M.M. Numerical solutions for fractional reaction-diffusion equations. Comput. Math. Appl. 2008, 55:2212-2226.
-
(2008)
Comput. Math. Appl.
, vol.55
, pp. 2212-2226
-
-
Beumer, B.1
Kovács, M.2
Meerschaert, M.M.3
-
6
-
-
0035679868
-
Anomalous diffusion and exit time distribution of particle tracers in plasma turbulence model
-
Carreras B.A., Lynch V.E., Zaslavsky G.M. Anomalous diffusion and exit time distribution of particle tracers in plasma turbulence model. Phys. Plasma 2001, 8:5096-5103.
-
(2001)
Phys. Plasma
, vol.8
, pp. 5096-5103
-
-
Carreras, B.A.1
Lynch, V.E.2
Zaslavsky, G.M.3
-
7
-
-
0001234212
-
Multigrid method for ill-conditioned symmetric Toeplitz systems
-
Chan R., Chang Q., Sun H. Multigrid method for ill-conditioned symmetric Toeplitz systems. SIAM J. Sci. Comput. 1998, 19:516-529.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 516-529
-
-
Chan, R.1
Chang, Q.2
Sun, H.3
-
9
-
-
0030246195
-
Conjugate gradient methods for Toeplitz systems
-
Chan R., Ng M. Conjugate gradient methods for Toeplitz systems. SIAM Rev. 1996, 38:427-482.
-
(1996)
SIAM Rev.
, vol.38
, pp. 427-482
-
-
Chan, R.1
Ng, M.2
-
10
-
-
69049086472
-
Compact finite difference method for the fractional diffusion equation
-
Cui M. Compact finite difference method for the fractional diffusion equation. J. Comput. Phys. 2009, 228:7792-7804.
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 7792-7804
-
-
Cui, M.1
-
11
-
-
59349113701
-
Finite element method for the space and time fractional Fokker-Planck equation
-
Deng W. Finite element method for the space and time fractional Fokker-Planck equation. SIAM J. Numer. Anal. 2008, 47:204-226.
-
(2008)
SIAM J. Numer. Anal.
, vol.47
, pp. 204-226
-
-
Deng, W.1
-
12
-
-
42649109055
-
Numerical approximation of a time dependent, nonlinear, space-fractional diffusion equation
-
Ervin V.J., Heuer N., Roop J.P. Numerical approximation of a time dependent, nonlinear, space-fractional diffusion equation. SIAM J. Numer. Anal. 2007, 45:572-591.
-
(2007)
SIAM J. Numer. Anal.
, vol.45
, pp. 572-591
-
-
Ervin, V.J.1
Heuer, N.2
Roop, J.P.3
-
13
-
-
51249172268
-
Multigrid methods for Toeplitz matrices
-
Fiorentino G., Serra S. Multigrid methods for Toeplitz matrices. Calcolo 1991, 28:283-305.
-
(1991)
Calcolo
, vol.28
, pp. 283-305
-
-
Fiorentino, G.1
Serra, S.2
-
14
-
-
0141971047
-
Multigrid precodnitioning and Toeplitz matrices
-
Huckle T., Staudacher J. Multigrid precodnitioning and Toeplitz matrices. ETNA 2002, 13:81-105.
-
(2002)
ETNA
, vol.13
, pp. 81-105
-
-
Huckle, T.1
Staudacher, J.2
-
15
-
-
17144427014
-
The accuracy and stability of an implicit solution method for the fractional diffusion equation
-
Langlands T.A.M., Henry B.I. The accuracy and stability of an implicit solution method for the fractional diffusion equation. J. Comput. Phys. 2005, 205:719-736.
-
(2005)
J. Comput. Phys.
, vol.205
, pp. 719-736
-
-
Langlands, T.A.M.1
Henry, B.I.2
-
16
-
-
34547548712
-
Finite difference/spectral approximations for the time-fractional diffusion equation
-
Lin Y., Xu C. Finite difference/spectral approximations for the time-fractional diffusion equation. J. Comput. Phys. 2007, 225:1533-1552.
-
(2007)
J. Comput. Phys.
, vol.225
, pp. 1533-1552
-
-
Lin, Y.1
Xu, C.2
-
17
-
-
1542425102
-
Numerical solution of the space fractional Fokker-Planck equation
-
Liu F., Anh V., Turner I. Numerical solution of the space fractional Fokker-Planck equation. J. Comput. Appl. Math. 2004, 166:209-219.
-
(2004)
J. Comput. Appl. Math.
, vol.166
, pp. 209-219
-
-
Liu, F.1
Anh, V.2
Turner, I.3
-
19
-
-
25444463578
-
Finite difference methods for two-dimensional fractional dispersion equation
-
Meerschaert M.M., Scheffler H.P., Tadjeran C. Finite difference methods for two-dimensional fractional dispersion equation. J. Comput. Phys. 2006, 211:249-261.
-
(2006)
J. Comput. Phys.
, vol.211
, pp. 249-261
-
-
Meerschaert, M.M.1
Scheffler, H.P.2
Tadjeran, C.3
-
20
-
-
4444368867
-
Finite difference approximations for fractional advection-dispersion flow equations
-
Meerschaert M.M., Tadjeran C. Finite difference approximations for fractional advection-dispersion flow equations. J. Comput. Appl. Math. 2004, 172:65-77.
-
(2004)
J. Comput. Appl. Math.
, vol.172
, pp. 65-77
-
-
Meerschaert, M.M.1
Tadjeran, C.2
-
21
-
-
28044468843
-
Finite difference approximations for two-sided space-fractional partial differential equations
-
Meerschaert M.M., Tadjeran C. Finite difference approximations for two-sided space-fractional partial differential equations. Appl. Numer. Math. 2006, 56:80-90.
-
(2006)
Appl. Numer. Math.
, vol.56
, pp. 80-90
-
-
Meerschaert, M.M.1
Tadjeran, C.2
-
22
-
-
46049119633
-
Implicit finite difference approximation for time fractional diffusion equations
-
Murio D.A. Implicit finite difference approximation for time fractional diffusion equations. Comput. Math. Appl. 2008, 56:1138-1145.
-
(2008)
Comput. Math. Appl.
, vol.56
, pp. 1138-1145
-
-
Murio, D.A.1
-
24
-
-
0036949980
-
Waiting-times and returns in high-frequency financial data: an empirical study
-
Raberto M., Scalas E., Mainardi F. Waiting-times and returns in high-frequency financial data: an empirical study. Phys. A 2002, 314:749-755.
-
(2002)
Phys. A
, vol.314
, pp. 749-755
-
-
Raberto, M.1
Scalas, E.2
Mainardi, F.3
-
25
-
-
0001885411
-
Algebraic Multigrid
-
SIAM, Philadephia
-
Ruge J., Stuben K. Algebraic Multigrid. Multigrid Methods 1987, vol. 4. SIAM, Philadephia.
-
(1987)
Multigrid Methods
, vol.4
-
-
Ruge, J.1
Stuben, K.2
-
27
-
-
0000885234
-
Lévy dynamics of enhanced diffusion: application to turbulence
-
Shlesinger M.F., West B.J., Klafter J. Lévy dynamics of enhanced diffusion: application to turbulence. Phys. Rev. Lett. 1987, 58:1100-1103.
-
(1987)
Phys. Rev. Lett.
, vol.58
, pp. 1100-1103
-
-
Shlesinger, M.F.1
West, B.J.2
Klafter, J.3
-
29
-
-
64049113904
-
Finite difference approximates for a fractional advection diffusion problem
-
Sousa E. Finite difference approximates for a fractional advection diffusion problem. J. Comput. Phys. 2009, 228:4038-4054.
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 4038-4054
-
-
Sousa, E.1
-
30
-
-
74249113616
-
Finite difference approximations for the fractional advection-diffusion equation
-
Su L., Wang W., Yang Z. Finite difference approximations for the fractional advection-diffusion equation. Phys. Lett. A 2009, 373:4405-4408.
-
(2009)
Phys. Lett. A
, vol.373
, pp. 4405-4408
-
-
Su, L.1
Wang, W.2
Yang, Z.3
-
31
-
-
0031189412
-
A note on the convergence of the two-grid method for Toeplitz systems
-
Sun H., Chan R., Chang Q. A note on the convergence of the two-grid method for Toeplitz systems. Comput. Math. Appl. 1997, 34:11-18.
-
(1997)
Comput. Math. Appl.
, vol.34
, pp. 11-18
-
-
Sun, H.1
Chan, R.2
Chang, Q.3
-
32
-
-
0141936364
-
Convergence of the multigrid method for ill-conditioned block Toeplitz systems
-
Sun H., Jin X., Chang Q. Convergence of the multigrid method for ill-conditioned block Toeplitz systems. BIT 2001, 41:179-190.
-
(2001)
BIT
, vol.41
, pp. 179-190
-
-
Sun, H.1
Jin, X.2
Chang, Q.3
-
33
-
-
31744438550
-
A second-order accurate numerical approximation for the fractional diffusion equation
-
Tadjeran C., Meerschaert M.M., Scheffler H.P. A second-order accurate numerical approximation for the fractional diffusion equation. J. Comput. Phys. 2006, 213:205-213.
-
(2006)
J. Comput. Phys.
, vol.213
, pp. 205-213
-
-
Tadjeran, C.1
Meerschaert, M.M.2
Scheffler, H.P.3
-
35
-
-
77955927812
-
2N) finite difference method for fractional diffusion equations
-
2N) finite difference method for fractional diffusion equations. J. Comput. Phys. 2010, 229:8095-8104.
-
(2010)
J. Comput. Phys.
, vol.229
, pp. 8095-8104
-
-
Wang, H.1
Wang, K.2
Sircar, T.3
-
36
-
-
79957886188
-
A fast characteristic finite difference method for fractional advection-diffusion equations
-
Wang K., Wang H. A fast characteristic finite difference method for fractional advection-diffusion equations. Adv. Water Resour. 2011, 34:810-816.
-
(2011)
Adv. Water Resour.
, vol.34
, pp. 810-816
-
-
Wang, K.1
Wang, H.2
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