-
1
-
-
0035014974
-
Subordinated advection-dispersion equation for contaminant transport
-
DOI 10.1029/2000WR900409
-
B. Baeumer, M.M. Meerschaert, D.A. Benson, and S.W. Wheatcraft Subordinated advection-dispersion equation for contaminant transport Water Resour. Res. 37 2001 1543 1550 (Pubitemid 32480655)
-
(2001)
Water Resources Research
, vol.37
, Issue.6
, pp. 1543-1550
-
-
Baeumer, B.1
Benson, D.A.2
Meerschaert, M.M.3
Wheatcraft, S.W.4
-
2
-
-
0034113992
-
The fractional-order governing equation of Levy motion
-
DOI 10.1029/2000WR900032
-
D. Benson, S.W. Wheatcraft, and M.M. Meerschaert The fractional-order governing equation of Lévy motion Water Resour. Res. 36 2000 1413 1423 (Pubitemid 30334242)
-
(2000)
Water Resources Research
, vol.36
, Issue.6
, pp. 1413-1423
-
-
Benson, D.A.1
Wheatcraft, S.W.2
Meerschaert, M.M.3
-
5
-
-
51749116733
-
Finite difference approximations for the fractional Fokker-Planck equation
-
S. Chen, F. Liu, P. Zhuang, and V. Anh Finite difference approximations for the fractional Fokker-Planck equation Appl. Math. Modelling 33 2009 256 273
-
(2009)
Appl. Math. Modelling
, vol.33
, pp. 256-273
-
-
Chen, S.1
Liu, F.2
Zhuang, P.3
Anh, V.4
-
7
-
-
59349113701
-
Finite element method for the space and time fractional Fokker-Planck equation
-
W. Deng Finite element method for the space and time fractional Fokker-Planck equation SIAM J. Numer. Anal. 47 2008 204 226
-
(2008)
SIAM J. Numer. Anal.
, vol.47
, pp. 204-226
-
-
Deng, W.1
-
8
-
-
0001235787
-
Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures
-
J. Douglas, and T.F. Russell Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures SIAM J. Numer. Anal. 19 1982 871 885
-
(1982)
SIAM J. Numer. Anal.
, vol.19
, pp. 871-885
-
-
Douglas, J.1
Russell, T.F.2
-
9
-
-
42649109055
-
Numerical approximation of a time dependent, nonlinear, space-fractional diffusion equation
-
DOI 10.1137/050642757
-
V.J. Ervin, N. Heuer, and J.P. Roop Numerical approximation of a time dependent, nonlinear, space-fractional diffusion equation SIAM J. Numer. Anal. 45 2007 572 591 (Pubitemid 351599168)
-
(2007)
SIAM Journal on Numerical Analysis
, vol.45
, Issue.2
, pp. 572-591
-
-
Ervin, V.J.1
Heuer, N.2
Roop, J.P.3
-
12
-
-
34547548712
-
Finite difference/spectral approximations for the time-fractional diffusion equation
-
Y. Lin, and C. Xu Finite difference/spectral approximations for the time-fractional diffusion equation J. Comput. Phys. 225 2007 1533 1552
-
(2007)
J. Comput. Phys.
, vol.225
, pp. 1533-1552
-
-
Lin, Y.1
Xu, C.2
-
13
-
-
1542425102
-
Numerical solution of the space fractional Fokker-Planck equation
-
DOI 10.1016/j.cam.2003.09.028, PII S0377042703008616
-
F. Liu, V. Anh, and I. Turner Numerical solution of the space fractional Fokker-Planck equation J. Comput. Appl. Math. 166 2004 209 219 (Pubitemid 38342127)
-
(2004)
Journal of Computational and Applied Mathematics
, vol.166
, Issue.1
, pp. 209-219
-
-
Liu, F.1
Anh, V.2
Turner, I.3
-
14
-
-
0000717432
-
Discretized fractional calculus
-
C. Lubich Discretized fractional calculus SIAM J. Math. Anal. 17 1986 704 719
-
(1986)
SIAM J. Math. Anal.
, vol.17
, pp. 704-719
-
-
Lubich, C.1
-
16
-
-
28044468843
-
Finite difference approximations for two-sided space-fractional partial differential equations
-
DOI 10.1016/j.apnum.2005.02.008, PII S0168927405000590
-
M.M. Meerschaert, and C. Tadjeran Finite difference approximations for two-sided space-fractional partial differential equations Appl. Numer. Math. 56 2006 80 90 (Pubitemid 41690768)
-
(2006)
Applied Numerical Mathematics
, vol.56
, Issue.1
, pp. 80-90
-
-
Meerschaert, M.M.1
Tadjeran, C.2
-
17
-
-
25444463578
-
Finite difference methods for two-dimensional fractional dispersion equation
-
DOI 10.1016/j.jcp.2005.05.017, PII S0021999105002731
-
M.M. Meerschaert, H.P. Scheffler, and C. Tadjeran Finite difference methods for two-dimensional fractional dispersion equation J. Comput. Phys. 211 2006 249 261 (Pubitemid 41363984)
-
(2006)
Journal of Computational Physics
, vol.211
, Issue.1
, pp. 249-261
-
-
Meerschaert, M.M.1
Scheffler, H.-P.2
Tadjeran, C.3
-
20
-
-
61349186917
-
Matrix approach to discrete fractional calculus II: Partial fractional differential equations
-
I. Podlubny, A. Chechkin, T. Skovranek, Y. Chen, and B.M. Vinagre Jara Matrix approach to discrete fractional calculus II: partial fractional differential equations J. Comput. Phys. 228 2009 3137 3153
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 3137-3153
-
-
Podlubny, I.1
Chechkin, A.2
Skovranek, T.3
Chen, Y.4
Vinagre Jara, B.M.5
-
21
-
-
0036949980
-
Waiting-times and returns in high-frequency financial data: An empirical study
-
M. Raberto, E. Scalas, and F. Mainardi Waiting-times and returns in high-frequency financial data: an empirical study Phys. 314 2002 749 755
-
(2002)
Phys.
, vol.314
, pp. 749-755
-
-
Raberto, M.1
Scalas, E.2
Mainardi, F.3
-
22
-
-
0042808444
-
Waiting time distributions in financial markets
-
L. Sabatelli, S. Keating, J. Dudley, and P. Richmond Waiting time distributions in financial markets Eur. Phys. J. B 27 2002 273 275 (Pubitemid 135695362)
-
(2002)
European Physical Journal B
, vol.27
, Issue.2
, pp. 273-275
-
-
Sabatelli, L.1
Keating, S.2
Dudley, J.3
Richmond, P.4
-
23
-
-
64049113904
-
Finite difference approximates for a fractional advection diffusion problem
-
E. Sousa Finite difference approximates for a fractional advection diffusion problem J. Comput. Phys. 228 2009 4038 4054
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 4038-4054
-
-
Sousa, E.1
-
24
-
-
74249113616
-
Finite difference approximations for the fractional advection-diffusion equation
-
L. Su, W. Wang, and Z. Yang Finite difference approximations for the fractional advection-diffusion equation Phys. Lett. A 373 2009 4405 4408
-
(2009)
Phys. Lett. A
, vol.373
, pp. 4405-4408
-
-
Su, L.1
Wang, W.2
Yang, Z.3
-
25
-
-
78649918171
-
Finite difference methods for fractional dispersion equations
-
L. Su, W. Wang, and Q. Xu Finite difference methods for fractional dispersion equations Appl. Math. Comput. 216 2010 3329 3334
-
(2010)
Appl. Math. Comput.
, vol.216
, pp. 3329-3334
-
-
Su, L.1
Wang, W.2
Xu, Q.3
-
26
-
-
33845628108
-
A second-order accurate numerical method for the two-dimensional fractional diffusion equation
-
DOI 10.1016/j.jcp.2006.05.030, PII S0021999106002610
-
C. Tadjeran, and M.M. Meerschaert A second-order accurate numerical method for the two-dimensional fractional diffusion equation J. Comput. Phys. 220 2007 813 823 (Pubitemid 44942995)
-
(2007)
Journal of Computational Physics
, vol.220
, Issue.2
, pp. 813-823
-
-
Tadjeran, C.1
Meerschaert, M.M.2
-
27
-
-
31744438550
-
A second-order accurate numerical approximation for the fractional diffusion equation
-
DOI 10.1016/j.jcp.2005.08.008, PII S0021999105003773
-
C. Tadjeran, M.M. Meerschaert, and H.P. Scheffler A second-order accurate numerical approximation for the fractional diffusion equation J. Comput. Phys. 213 2006 205 213 (Pubitemid 43174872)
-
(2006)
Journal of Computational Physics
, vol.213
, Issue.1
, pp. 205-213
-
-
Tadjeran, C.1
Meerschaert, M.M.2
Scheffler, H.-P.3
-
28
-
-
0002885705
-
A lower bounded for the smallest singular value of a matrix
-
J.M. Varah A lower bounded for the smallest singular value of a matrix Lin. Alg. Appl. 11 1975 3 5
-
(1975)
Lin. Alg. Appl.
, vol.11
, pp. 3-5
-
-
Varah, J.M.1
-
30
-
-
69249214155
-
Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
-
Q. Yang, F. Liu, and I. Turner Numerical methods for fractional partial differential equations with Riesz space fractional derivatives Appl. Math. Modelling 34 1 2010 200 218
-
(2010)
Appl. Math. Modelling
, vol.34
, Issue.1
, pp. 200-218
-
-
Yang, Q.1
Liu, F.2
Turner, I.3
-
31
-
-
84907893973
-
Numerical methods for the variable-order fractional advection-diffusion with a nonlinear source term
-
P. Zhuang, F. Liu, V. Anh, and I. Turner Numerical methods for the variable-order fractional advection-diffusion with a nonlinear source term SIAM J. Numer. Anal. 47 3 2009 1760 1781
-
(2009)
SIAM J. Numer. Anal.
, vol.47
, Issue.3
, pp. 1760-1781
-
-
Zhuang, P.1
Liu, F.2
Anh, V.3
Turner, I.4
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