-
1
-
-
0027069042
-
Field study of dispersion in a heterogeneous aquifer: 2. Spatial moment analysis
-
E. E. ADAMS AND L. GELHAR, Field study of dispersion in a heterogeneous aquifer: 2. Spatial moment analysis, Water Resources Res., 28 (1992), pp. 3293-3307.
-
(1992)
Water Resources Res.
, vol.28
, pp. 3293-3307
-
-
Adams, E.E.1
Gelhar, L.2
-
2
-
-
0003280095
-
Elements of the theory of elliptic functions
-
AMS, Providence, RI
-
N. I. AKHIEZER, Elements of the Theory of Elliptic Functions, Transl. Math. Monogr. 79, AMS, Providence, RI, 1990.
-
(1990)
Transl. Math. Monogr.
, vol.79
-
-
Akhiezer, N.I.1
-
3
-
-
47349087551
-
A nonlocal p-Laplacian evolution equation with Neumann boundary conditions
-
F. ANDREU, J. M. MAZÓN, J. D. ROSSI, AND J. TOLEDO, A nonlocal p-Laplacian evolution equation with Neumann boundary conditions, J. Math. Pures Appl., 90 (2008), pp. 201-227.
-
(2008)
J. Math. Pures Appl.
, vol.90
, pp. 201-227
-
-
Andreu, F.1
Mazón, J.M.2
Rossi, J.D.3
Toledo, J.4
-
4
-
-
70350120054
-
A nonlocal p-Laplacian evolution equation with nonhomogeneous Dirichlet boundary conditions
-
F. ANDREU, J. M. MAZÓN, J. D. ROSSI, AND J. TOLEDO, A nonlocal p-Laplacian evolution equation with nonhomogeneous Dirichlet boundary conditions, SIAM J. Math. Anal., 40 (2009), pp. 1815-1851.
-
(2009)
SIAM J. Math. Anal.
, vol.40
, pp. 1815-1851
-
-
Andreu, F.1
Mazón, J.M.2
Rossi, J.D.3
Toledo, J.4
-
5
-
-
0001350531
-
An iterative method for the Helmholtz equation
-
A. BAYLISS, C. I. GOLDSTEIN, AND E. TURKEL, An iterative method for the Helmholtz equation, J. Comput. Phys., 49 (1983), pp. 443-457.
-
(1983)
J. Comput. Phys.
, vol.49
, pp. 443-457
-
-
Bayliss, A.1
Goldstein, C.I.2
Turkel, E.3
-
6
-
-
3242750610
-
Limit theorem for continuous time random walks with two time scales
-
P. BECKER-KERN, M. M. MEERSCHAERT, AND H. P. SCHEFFLER, Limit theorem for continuous time random walks with two time scales, J. Appl. Probab., 41 (2004), pp. 455-466.
-
(2004)
J. Appl. Probab.
, vol.41
, pp. 455-466
-
-
Becker-Kern, P.1
Meerschaert, M.M.2
Scheffler, H.P.3
-
7
-
-
84861194052
-
Superlinear convergence of the rational Arnoldi method
-
B. BECKERMANN AND S. GÜTTEL, Superlinear convergence of the rational Arnoldi method, Numer. Math., 121 (2012), pp. 205-236.
-
(2012)
Numer. Math.
, vol.121
, pp. 205-236
-
-
Beckermann, B.1
Güttel, S.2
-
8
-
-
84904192266
-
Error estimates and evaluation of matrix functions via the Fa bertrans form
-
B. BECKERMANN AND L. REICHEL, Error estimates and evaluation of matrix functions via the Fa bertrans form, SIAM J. Numer. Anal., 47 (2009), pp. 3849-3883.
-
(2009)
SIAM J. Numer. Anal.
, vol.47
, pp. 3849-3883
-
-
Beckermann, B.1
Reichel, L.2
-
9
-
-
0034032484
-
Application of a fractional advection-dispersion equation
-
D. A. BENSON, S. W. WHEATCRAFT, AND M. M. MEERSCHAERT, Application of a fractional advection-dispersion equation, Water Resources Res., 36 (2000), pp. 1403-1412.
-
(2000)
Water Resources Res.
, vol.36
, pp. 1403-1412
-
-
Benson, D.A.1
Wheatcraft, S.W.2
Meerschaert, M.M.3
-
10
-
-
0040307478
-
Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications
-
J. P. BOUCHAUD AND A. GEORGES, Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications, Phys. Rep., 195 (1990), pp. 127-293.
-
(1990)
Phys. Rep.
, vol.195
, pp. 127-293
-
-
Bouchaud, J.P.1
Georges, A.2
-
11
-
-
84866396034
-
Classical, nonlocal, and fractional diffusion equations on bounded domains
-
to appear
-
N. BURCH AND R. LEHOUCQ, Classical, nonlocal, and fractional diffusion equations on bounded domains, Internat. J. Multiscale Comp. Eng., to appear.
-
Internat. J. Multiscale Comp. Eng.
-
-
Burch, N.1
Lehoucq, R.2
-
12
-
-
40849115179
-
Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation
-
C. CHEN, F. LIU, AND K. BURRAGE, Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation, Appl. Math. Comput., 198 (2008), pp. 754-769.
-
(2008)
Appl. Math. Comput.
, vol.198
, pp. 754-769
-
-
Chen, C.1
Liu, F.2
Burrage, K.3
-
13
-
-
36149001420
-
Fourier method for the fractional diffusion equation describing sub-diffusion
-
C. CHEN, F. LIU, I. TURNER, AND V. ANH, Fourier method for the fractional diffusion equation describing sub-diffusion, J. Comput. Phys., 227 (2007), pp. 886-897.
-
(2007)
J. Comput. Phys.
, vol.227
, pp. 886-897
-
-
Chen, C.1
Liu, F.2
Turner, I.3
Anh, V.4
-
15
-
-
0032377092
-
Extended Krylov subspaces: Approximation of the matrix square root and related functions
-
V. DRUSKIN AND L. KNIZHNERMAN, Extended Krylov subspaces: Approximation of the matrix square root and related functions, SIAM J. Matrix Anal. Appl., 19 (1998), pp. 755-771.
-
(1998)
SIAM J. Matrix Anal. Appl.
, vol.19
, pp. 755-771
-
-
Druskin, V.1
Knizhnerman, L.2
-
16
-
-
78649500561
-
Mathematical and numerical analysis of linear peridynamic models with nonlocal boundary conditions
-
Q. DU AND K. ZHOU, Mathematical and numerical analysis of linear peridynamic models with nonlocal boundary conditions, SIAM J. Numer. Anal., 48 (2010), pp. 1759-1780.
-
(2010)
SIAM J. Numer. Anal.
, vol.48
, pp. 1759-1780
-
-
Du, Q.1
Zhou, K.2
-
17
-
-
80755129700
-
On the speed of spread for fractional reaction-diffusion equations
-
H. ENGLER, On the speed of spread for fractional reaction-diffusion equations, Int. J. Difference Equ. (2010), 31542.
-
(2010)
Int. J. Difference Equ.
, pp. 31542
-
-
Engler, H.1
-
18
-
-
33644865436
-
Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation
-
Y. A. ERLANGGA, C. W. OOSTERLEE, AND C. VUIK, Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation, Appl. Numer. Math., 56 (2006), pp. 648-666.
-
(2006)
Appl. Numer. Math.
, vol.56
, pp. 648-666
-
-
Erlangga, Y.A.1
Oosterlee, C.W.2
Vuik, C.3
-
19
-
-
3142611583
-
On a class of preconditioners for the Helmholtz equation
-
Y. A. ERLANGGA, C. VUIK, AND C. W. OOSTERLEE, On a class of preconditioners for the Helmholtz equation, Appl. Numer. Math., 20 (2005), pp. 409-425.
-
(2005)
Appl. Numer. Math.
, vol.20
, pp. 409-425
-
-
Erlangga, Y.A.1
Vuik, C.2
Oosterlee, C.W.3
-
20
-
-
46349085492
-
Spectral analysis of the discrete Helmholtz operator preconditioned with a shifted Laplacian
-
M. B. VAN GIJZEN, Y. A. ERLANGGA, AND C. VUIK, Spectral analysis of the discrete Helmholtz operator preconditioned with a shifted Laplacian, SIAM J. Sci. Comput., 29 (2007), pp. 1942-1958.
-
(2007)
SIAM J. Sci. Comput.
, vol.29
, pp. 1942-1958
-
-
Van Gijzen, M.B.1
Erlangga, Y.A.2
Vuik, C.3
-
21
-
-
33746232313
-
Boundary problems for fractional Laplacians
-
Q. Y. GUAN AND Z. M. MA, Boundary problems for fractional Laplacians, Stoch. Dyn., 5 (2005), pp. 385-424.
-
(2005)
Stoch. Dyn.
, vol.5
, pp. 385-424
-
-
Guan, Q.Y.1
Ma, Z.M.2
-
22
-
-
78649502736
-
A nonlocal vector calculus with application to nonlocal boundary value problems
-
M. GUNZBURGER AND R. B. LEHOUCQ, A nonlocal vector calculus with application to nonlocal boundary value problems, Multiscale Model. Simul., 8 (2010), pp. 1581-1598.
-
(2010)
Multiscale Model. Simul.
, vol.8
, pp. 1581-1598
-
-
Gunzburger, M.1
Lehoucq, R.B.2
-
23
-
-
79959696795
-
-
Ph.D. thesis, TU Bergakademie Freiberg, Freiberg, Germany
-
S. GÜTTEL, Rational Krylov Methods for Operator Functions, Ph.D. thesis, TU Bergakademie Freiberg, Freiberg, Germany, 2010.
-
(2010)
Rational Krylov Methods for Operator Functions
-
-
Güttel, S.1
-
24
-
-
55349149715
-
α,log(A), and related matrix functions by contour integrals
-
α,log(A), and related matrix functions by contour integrals, SIAM J. Numer. Anal., 46 (2008), pp. 2505-2523.
-
(2008)
SIAM J. Numer. Anal.
, vol.46
, pp. 2505-2523
-
-
Hale, N.1
Higham, N.J.2
Trefethen, L.N.3
-
27
-
-
64249135201
-
Numerical approximation of a fractional-in-space diffusion equation, I
-
M. ILIĆ, F. LIU, I. TURNER, AND V. ANH, Numerical approximation of a fractional-in-space diffusion equation, I, Frac. Calc. and App. Anal., 8 (2005), pp. 323-341.
-
(2005)
Frac. Calc. And App. Anal.
, vol.8
, pp. 323-341
-
-
Ilić, M.1
Liu, F.2
Turner, I.3
Anh, V.4
-
28
-
-
64249104309
-
Numerical approximation of a fractional-in-space diffusion equation (II) - With nonhomogeneous boundary conditions
-
M. ILIĆ, F. LIU, I. TURNER, AND V. ANH, Numerical approximation of a fractional-in-space diffusion equation (II) - with nonhomogeneous boundary conditions, Fract. Calc. Appl. Anal., 9 (2006), pp. 333-349.
-
(2006)
Fract. Calc. Appl. Anal.
, vol.9
, pp. 333-349
-
-
Ilić, M.1
Liu, F.2
Turner, I.3
Anh, V.4
-
29
-
-
77953127197
-
Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium
-
M. ILIĆ, I. TURNER, F. LIU, AND V. ANH, Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium, Appl. Math. Comput., 216 (2010), pp. 2248-2262.
-
(2010)
Appl. Math. Comput.
, vol.216
, pp. 2248-2262
-
-
Ilić, M.1
Turner, I.2
Liu, F.3
Anh, V.4
-
31
-
-
64249158296
-
A numerical solution using an adaptively preconditioned Lanczos method for a class of linear systems related with the fractional Poisson equation
-
M. ILIĆ, I. W. TURNER, AND V. ANH, A numerical solution using an adaptively preconditioned Lanczos method for a class of linear systems related with the fractional Poisson equation, J. Appl. Math. Stoch. Anal. (2008), 104525.
-
(2008)
J. Appl. Math. Stoch. Anal.
, pp. 104525
-
-
Ilić, M.1
Turner, I.W.2
Anh, V.3
-
32
-
-
29144470271
-
A multigrid finite element solver for the Cahn-Hilliard equation
-
D. KAY AND R. WELFORD, A multigrid finite element solver for the Cahn-Hilliard equation, J. Comput. Phys., 212 (2006), pp. 288-304.
-
(2006)
J. Comput. Phys.
, vol.212
, pp. 288-304
-
-
Kay, D.1
Welford, R.2
-
33
-
-
77954843781
-
A new investigation of the extended Krylov subspace method for matrix function evaluations
-
L. KNIZHNERMAN AND V. SIMONCINI, A new investigation of the extended Krylov subspace method for matrix function evaluations, Linear Algebra Appl., 17 (2010), pp. 615-638.
-
(2010)
Linear Algebra Appl.
, vol.17
, pp. 615-638
-
-
Knizhnerman, L.1
Simoncini, V.2
-
34
-
-
84866396035
-
Preconditioning harmonic unsteady potential flow calculations
-
University of Oxford, Oxford, UK
-
A. L. LAIRD AND M. B. GILES, Preconditioning Harmonic Unsteady Potential Flow Calculations, Technical report 02/12, Mathematical Institute, University of Oxford, Oxford, UK, 2002.
-
(2002)
Technical Report 02/12, Mathematical Institute
-
-
Laird, A.L.1
Giles, M.B.2
-
35
-
-
17144427014
-
The accuracy and stability of an implicit solution method for the fractional diffusion equation
-
T. A. M. LANGLANDS AND B. HENRY, The accuracy and stability of an implicit solution method for the fractional diffusion equation, J. Comput. Phys., 205 (2005), pp. 719-736.
-
(2005)
J. Comput. Phys.
, vol.205
, pp. 719-736
-
-
Langlands, T.A.M.1
Henry, B.2
-
36
-
-
21344498933
-
Optimal ray sequences of rational functions connected with the Zolotarev problem
-
A. LEVIN AND E. SAFF, Optimal ray sequences of rational functions connected with the Zolotarev problem, Constr. Approx., 10 (1994), pp. 235-273.
-
(1994)
Constr. Approx.
, vol.10
, pp. 235-273
-
-
Levin, A.1
Saff, E.2
-
37
-
-
77954143774
-
Existence and uniqueness of the weak solution of the space-time fractional diffusion equation and a spectral method approximation
-
X. LI AND C. XU, Existence and uniqueness of the weak solution of the space-time fractional diffusion equation and a spectral method approximation, Commun. Comput. Phys., 8 (2010), pp. 1016-1051.
-
(2010)
Commun. Comput. Phys.
, vol.8
, pp. 1016-1051
-
-
Li, X.1
Xu, C.2
-
38
-
-
34547548712
-
Finite difference/spectral approximations for the time-fractional diffusion equation
-
Y. LIN AND C. XUE, Finite difference/spectral approximations for the time-fractional diffusion equation, J. Comput. Phys., 225 (2007), pp. 15333-1552.
-
(2007)
J. Comput. Phys.
, vol.225
, pp. 15333-11552
-
-
Lin, Y.1
Xue, C.2
-
39
-
-
1542425102
-
Numerical solution of the space fractional Fokker-Planck equation
-
F. LIU, V. ANH, AND I. TURNER, Numerical solution of the space fractional Fokker-Planck equation, J. Comput. Appl. Math., 166 (2004), pp. 209-219.
-
(2004)
J. Comput. Appl. Math.
, vol.166
, pp. 209-219
-
-
Liu, F.1
Anh, V.2
Turner, I.3
-
42
-
-
34547673244
-
Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
-
F. LIU, P. ZHUANG, V. ANH, I. TURNER, AND K. BURRAGE, Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation, Appl. Math. Comput., 191 (2007), pp. 12-20.
-
(2007)
Appl. Math. Comput.
, vol.191
, pp. 12-20
-
-
Liu, F.1
Zhuang, P.2
Anh, V.3
Turner, I.4
Burrage, K.5
-
43
-
-
38349041965
-
Anomalous diffusion expressed through fractional order differential operators in the Bloch-Torrey equation
-
R. L. MAGIN, O. ABDULLAH, D. BALEANU, AND X. J. ZHOU, Anomalous diffusion expressed through fractional order differential operators in the Bloch-Torrey equation, J. Mag. Res., 190 (2008), pp. 255-270.
-
(2008)
J. Mag. Res.
, vol.190
, pp. 255-270
-
-
Magin, R.L.1
Abdullah, O.2
Baleanu, D.3
Zhou, X.J.4
-
44
-
-
0035014974
-
Subordinated advection-dispersion equation for contaminant transport
-
M. M. MEERSCHAERT, D. A. BENSON, AND S. W. WHEATCRAFT, Subordinated advection-dispersion equation for contaminant transport, Water Resource Res., 37 (2001), pp. 1543-1550.
-
(2001)
Water Resource Res.
, vol.37
, pp. 1543-1550
-
-
Meerschaert, M.M.1
Benson, D.A.2
Wheatcraft, S.W.3
-
45
-
-
33747807970
-
Fractional vector calculus for fractional advection-dispersion
-
M. M. MEERSCHAERT, J. MORTENSEN, AND S. W. WHEATCRAFT, Fractional vector calculus for fractional advection-dispersion, Phys. A, 367 (2006), pp. 181-190.
-
(2006)
Phys. A
, vol.367
, pp. 181-190
-
-
Meerschaert, M.M.1
Mortensen, J.2
Wheatcraft, S.W.3
-
46
-
-
28044468843
-
Finite difference approximations for two-sided space-fractional partial differential equations
-
M. M. MEERSCHAERT AND C. TADJERAN, Finite difference approximations for two-sided space-fractional partial differential equations, Appl. Numer. Math, 56 (2006), pp. 80-90.
-
(2006)
Appl. Numer. Math
, vol.56
, pp. 80-90
-
-
Meerschaert, M.M.1
Tadjeran, C.2
-
47
-
-
0002641421
-
The random walk's guide to anomalous diffusion: A fractional dynamics approach
-
R. METZLER AND J. KLAFTER, The random walk's guide to anomalous diffusion: A fractional dynamics approach, Phys. Rep., 339 (2000), pp. 1-77.
-
(2000)
Phys. Rep.
, vol.339
, pp. 1-77
-
-
Metzler, R.1
Klafter, J.2
-
48
-
-
0012089844
-
Newton interpolation at Leja points
-
L. REICHEL, Newton interpolation at Leja points, BIT, 30 (1990), pp. 332-346.
-
(1990)
BIT
, vol.30
, pp. 332-346
-
-
Reichel, L.1
-
49
-
-
34250592431
-
L'intégrale de Rieman-Liouville et le problème de Cauchy
-
M. RIESZ, L'intégrale de Rieman-Liouville et le problème de Cauchy, Acta Math., 81 (1949), pp. 1-223.
-
(1949)
Acta Math.
, vol.81
, pp. 1-223
-
-
Riesz, M.1
-
51
-
-
0001422598
-
Rational Krylov sequences for eigenvalue computations
-
A. RUHE, Rational Krylov sequences for eigenvalue computations, Linear Algebra Appl, 58 (1984), pp. 391-405.
-
(1984)
Linear Algebra Appl
, vol.58
, pp. 391-405
-
-
Ruhe, A.1
-
52
-
-
0000630785
-
Rational Krylov: A practical algorithm for large sparse nonsymmetric matrix pencils
-
A. RUHE, Rational Krylov: A practical algorithm for large sparse nonsymmetric matrix pencils, SIAM J. Sci. Comput., 19 (1998), pp. 1535-1551.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 1535-1551
-
-
Ruhe, A.1
-
53
-
-
0002598644
-
Preconditioning techniques for non symmetric and indefinite linear system
-
Y. SAAD, Preconditioning techniques for non symmetric and indefinite linear system, J. Comput. Appl. Math., 24 (1988), pp. 89-105.
-
(1988)
J. Comput. Appl. Math.
, vol.24
, pp. 89-105
-
-
Saad, Y.1
-
54
-
-
0034805503
-
Anomalous subdiffusion in fluorescence photobleaching recovery: A Monte Carlo study
-
M. SAXTON, Anomalous subdiffusion in fluorescence photobleaching recovery: A Monte Carlo study, J. Biophys., 81 (2001), pp. 2226-2240.
-
(2001)
J. Biophys.
, vol.81
, pp. 2226-2240
-
-
Saxton, M.1
-
55
-
-
0034275979
-
Fractional calculus and continuous time finance
-
E. SCALAS, R. GORENFLO, AND F. MAINARDI, Fractional calculus and continuous time finance, Phys. A, 284 (2000), pp. 376-384.
-
(2000)
Phys. A
, vol.284
, pp. 376-384
-
-
Scalas, E.1
Gorenflo, R.2
Mainardi, F.3
-
56
-
-
1542436807
-
Fractal mobile/immobile solute transport
-
R. SCHUMER, D. A. BENSON, M. M. MEERSCHAERT, AND B. BAEUMER, Fractal mobile/immobile solute transport, Water Res., 39 (2003), pp. 1296-1307.
-
(2003)
Water Res.
, vol.39
, pp. 1296-1307
-
-
Schumer, R.1
Benson, D.A.2
Meerschaert, M.M.3
Baeumer, B.4
-
57
-
-
44649084929
-
A new iterative method for solving large-scale Lyapunov matrix equations
-
V. SIMONCINI, A new iterative method for solving large-scale Lyapunov matrix equations, SIAM J. Sci. Comput., 29 (2007), pp. 1268-1288.
-
(2007)
SIAM J. Sci. Comput.
, vol.29
, pp. 1268-1288
-
-
Simoncini, V.1
-
59
-
-
30744474991
-
A fully discrete difference scheme for a diffusion-wave system
-
Z. SUN AND X. WU, A fully discrete difference scheme for a diffusion-wave system, Appl. Numer. Math., 56 (2006), pp. 193-209.
-
(2006)
Appl. Numer. Math.
, vol.56
, pp. 193-209
-
-
Sun, Z.1
Wu, X.2
-
60
-
-
84866367035
-
The use of fractional-in-space diffusion equations for describing microscale diffusion in porous media
-
Magdeburg, Germany
-
I. TURNER, M. ILIĆ, AND P. PERR, The use of fractional-in-space diffusion equations for describing microscale diffusion in porous media, in Proceedings of the 11th International Drying Conference, Magdeburg, Germany, 2010.
-
(2010)
Proceedings of the 11th International Drying Conference
-
-
Turner, I.1
Ilić, M.2
Perr, P.3
-
61
-
-
0001646445
-
An iterative solution method for solving f(A)x = b, using Krylov subspace information obtained for the symmetric positive definite matrix A
-
H. A. VAN DER VORST, An iterative solution method for solving f(A)x = b, using Krylov subspace information obtained for the symmetric positive definite matrix A, J. Comput. Appl. Math., 18 (1987), pp. 249-263.
-
(1987)
J. Comput. Appl. Math.
, vol.18
, pp. 249-263
-
-
Van Der Vorst, H.A.1
-
62
-
-
0000005482
-
Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for solution of nonsymmetric linear systems
-
H. A. VAN DER VORST, Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for solution of nonsymmetric linear systems, SIAM J. Sci. Stat. Comput., 13 (1992), pp. 631-644.
-
(1992)
SIAM J. Sci. Stat. Comput.
, vol.13
, pp. 631-644
-
-
Van Der Vorst, H.A.1
-
63
-
-
0000021772
-
Realistic eigenvalue bounds for the Galerkin mass matrix
-
A. J. WATHEN, Realistic eigenvalue bounds for the Galerkin mass matrix, IMA J. Numer. Anal., 7 (1987), pp. 449-457.
-
(1987)
IMA J. Numer. Anal.
, vol.7
, pp. 449-457
-
-
Wathen, A.J.1
-
64
-
-
0023033970
-
Flow in porous media I: A theoretical derivation of Darcy's law
-
S. WHITAKER, Flow in porous media I: A theoretical derivation of Darcy's law, Transp. Porous Media, 1 (1986), pp. 3-25.
-
(1986)
Transp. Porous Media
, vol.1
, pp. 3-25
-
-
Whitaker, S.1
-
66
-
-
79960431454
-
Novel numerical methods for solving the timespace fractional diffusion equation in two dimensions
-
Q. YANG, I. TURNER, F. LIU, AND M. ILIĆ, Novel numerical methods for solving the timespace fractional diffusion equation in two dimensions, SIAM J. Sci. Comput., 33 (2011), pp. 1159-1180.
-
(2011)
SIAM J. Sci. Comput.
, vol.33
, pp. 1159-1180
-
-
Yang, Q.1
Turner, I.2
Liu, F.3
Ilić, M.4
-
67
-
-
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. Model., 34 (2010), pp. 200-218.
-
(2010)
Appl. Math. Model.
, vol.34
, pp. 200-218
-
-
Yang, Q.1
Liu, F.2
Turner, I.3
-
68
-
-
25444472344
-
An explicit finite difference method and a new von Neumanntype stability analysis for fractional diffusion equations
-
S. B. YUSTE AND L. ACEDO, An explicit finite difference method and a new von Neumanntype stability analysis for fractional diffusion equations, SIAM J. Numer. Anal., 42 (2005), pp. 1862-1874.
-
(2005)
SIAM J. Numer. Anal.
, vol.42
, pp. 1862-1874
-
-
Yuste, S.B.1
Acedo, L.2
-
69
-
-
42749099017
-
Reaction front in an A + B - C reaction-subdiffusion process
-
S. B. YUSTE, L. ACEDO, AND K. LINDENBERG, Reaction front in an A + B - C reaction-subdiffusion process, Phys. Rev. E, 69 (2004), 036126.
-
(2004)
Phys. Rev. E
, vol.69
, pp. 036126
-
-
Yuste, S.B.1
Acedo, L.2
Lindenberg, K.3
-
70
-
-
62349097511
-
Time and space nonlocalities underlying fractional-derivative models: Distinction and literature review of field applications
-
Y. ZHANG, D. A. BENSON, AND D. M. REEVES, Time and space nonlocalities underlying fractional-derivative models: Distinction and literature review of field applications, Adv. Water Res., 32 (2009), pp. 561-581.
-
(2009)
Adv. Water Res.
, vol.32
, pp. 561-581
-
-
Zhang, Y.1
Benson, D.A.2
Reeves, D.M.3
-
71
-
-
84907893973
-
Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term
-
P. ZHUANG, F. LIU, V. ANH, AND I. TURNER, Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term, SIAM J. Numer. Anal., 47 (2009), pp. 1760-1781.
-
(2009)
SIAM J. Numer. Anal.
, vol.47
, pp. 1760-1781
-
-
Zhuang, P.1
Liu, F.2
Anh, V.3
Turner, I.4
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