-
1
-
-
0002058827
-
The numerical solution of parabolic and elliptic differential equations
-
D. W. Peaceman and H. H. Rachford Jr., The numerical solution of parabolic and elliptic differential equations, J Soc Ind Appl Math, 3 (1959), 28-41.
-
(1959)
J Soc Ind Appl Math
, vol.3
, pp. 28-41
-
-
Peaceman, D.W.1
Rachford H.H., Jr.2
-
2
-
-
34250949893
-
Alternating direction methods for three space variables
-
J. Douglas Jr., Alternating direction methods for three space variables, Numer Math, 4 (1961), 41-63.
-
(1961)
Numer Math
, vol.4
, pp. 41-63
-
-
Douglas J., Jr.1
-
3
-
-
0001742634
-
A general formulation of alternating direction method: Part I. Parabolic and hyperbolic problems
-
J. Douglas Jr., and J. E. Gunn, A general formulation of alternating direction method: Part I. Parabolic and hyperbolic problems, Numer Math, 6 (1964), 428-453.
-
(1964)
Numer Math
, vol.6
, pp. 428-453
-
-
Douglas J., Jr.1
Gunn, J.E.2
-
4
-
-
0031345517
-
A generalized Peaceman-Rachford ADI scheme for solving two-dimensional parabolic differential equations
-
W. Dai, A generalized Peaceman-Rachford ADI scheme for solving two-dimensional parabolic differential equations, J Sci Comput, 12 (1997), 353-360.
-
(1997)
J Sci Comput
, vol.12
, pp. 353-360
-
-
Dai, W.1
-
5
-
-
0031361065
-
A new ADI scheme for solving three-dimensional parabolic differential equations
-
W. Dai, A new ADI scheme for solving three-dimensional parabolic differential equations, J Sci Comput, 12, 361-369 (1997).
-
(1997)
J Sci Comput
, vol.12
, pp. 361-369
-
-
Dai, W.1
-
6
-
-
0008820821
-
A second-order ADI scheme for three-dimensional parabolic differential equations
-
W. Dai and R. Nassar, A second-order ADI scheme for three-dimensional parabolic differential equations, Numer Meth Part Diff Eq, 14 (1998), 159-168.
-
(1998)
Numer Meth Part Diff Eq
, vol.14
, pp. 159-168
-
-
W Dai, R.1
-
7
-
-
0346226434
-
A new ADI scheme for solving three-dimensional parabolic equations with first-order derivatives and variable coefficients
-
W. Dai and R. Nassar, A new ADI scheme for solving three-dimensional parabolic equations with first-order derivatives and variable coefficients, J Comput Anal Appl, 2 (2000), 293-308.
-
(2000)
J Comput Anal Appl
, vol.2
, pp. 293-308
-
-
Dai, W.1
Nassar, R.2
-
8
-
-
0002371470
-
On some finite element methods for the numerical simulation of incompressible viscous flow
-
M. D. Gunzburger and R. A. Nicolaides, editors, Cambridge University Press, Cambridge
-
J. Dean and R. Glowinski, On some finite element methods for the numerical simulation of incompressible viscous flow, M. D. Gunzburger and R. A. Nicolaides, editors, Incompressible computational fluid dynamics, Cambridge University Press, Cambridge, 1993.
-
(1993)
Incompressible Computational Fluid Dynamics
-
-
Dean, J.1
Glowinski, R.2
-
9
-
-
0003200255
-
Augmented Lagrangian and operator-splitting methods in nonlinear mechanics
-
Philadelphia
-
R. Glowinski, Augmented Lagrangian and operator-splitting methods in nonlinear mechanics, SIAM, Philadelphia, 1985.
-
(1985)
SIAM
-
-
Glowinski, R.1
-
10
-
-
0028516526
-
Stability of the fraction step θ-scheme for the nonstationary Navier-Stokes equations
-
P. Kloucek and F. S. Rys, Stability of the fraction step θ-scheme for the nonstationary Navier-Stokes equations, SIAM J Numer Anal, 31 (1994), 1312-1335.
-
(1994)
SIAM J Numer Anal
, vol.31
, pp. 1312-1335
-
-
Kloucek, P.1
F S, R.2
-
11
-
-
3042710535
-
Splitting and alternating direction methods
-
P. G. Ciarlet and J. L. Lions, editors, North-Holland, New York
-
G. I. Marchuk, Splitting and alternating direction methods, P. G. Ciarlet and J. L. Lions, editors, Handbook of numerical analysis, North-Holland, New York, 1989.
-
(1989)
Handbook of Numerical Analysis
-
-
Marchuk, G.I.1
-
12
-
-
0001518684
-
On the construction and comparison of difference schemes
-
G. Strang, On the construction and comparison of difference schemes, SIAM J Numer Anal, 5 (1968), 506-517.
-
(1968)
SIAM J Numer Anal
, vol.5
, pp. 506-517
-
-
Strang, G.1
-
13
-
-
0001439276
-
An orthogonal spline collocation alternating direction implicit Crank-Nicolson method for linear parabolic problems on rectangles
-
B. Bialeck and R. I. Fernandes, An orthogonal spline collocation alternating direction implicit Crank-Nicolson method for linear parabolic problems on rectangles, SIAM J Numer Anal, 36 (1999), 1414-1434.
-
(1999)
SIAM J Numer Anal
, vol.36
, pp. 1414-1434
-
-
Bialeck, B.1
Fernandes, R.I.2
-
14
-
-
84985400393
-
An analysis of alternating-direction methods for parabolic equations
-
M. A. Celia and G. F. Pinder, An analysis of alternating-direction methods for parabolic equations, Numer Meth Part Diff Eq, 1 (1985), 57-70.
-
(1985)
Numer Meth Part Diff Eq
, vol.1
, pp. 57-70
-
-
Celia, M.A.1
Pinder, G.F.2
-
15
-
-
84985337150
-
Generalized alternating-direction collocation methods for parabolic equations, I. Spatially varying coefficients
-
M. A. Celia and G. F. Pinder, Generalized alternating-direction collocation methods for parabolic equations, I. Spatially varying coefficients, Numer Meth Part Diff Eq, 6 (1990), 193-214.
-
(1990)
Numer Meth Part Diff Eq
, vol.6
, pp. 193-214
-
-
Celia, M.A.1
Pinder, G.F.2
-
16
-
-
84985359611
-
Generalized alternating-direction collocation methods for parabolic equations, II. Transport equations with application to seawater intrusion problems
-
M. A. Celia and G. F. Pinder, Generalized alternating-direction collocation methods for parabolic equations, II. Transport equations with application to seawater intrusion problems, Numer Meth Part Diff Eq, 6 (1990), 215-230.
-
(1990)
Numer Meth Part Diff Eq
, vol.6
, pp. 215-230
-
-
Celia, M.A.1
Pinder, G.F.2
-
17
-
-
84985315751
-
Generalized alternating-direction collocation methods for parabolic equations, III. Nonrectangular domains
-
M. A. Celia and G. F. Pinder, Generalized alternating-direction collocation methods for parabolic equations, III. Nonrectangular domains, Numer Meth Part Diff Eq, 6 (1990), 231-243.
-
(1990)
Numer Meth Part Diff Eq
, vol.6
, pp. 231-243
-
-
Celia, M.A.1
Pinder, G.F.2
-
18
-
-
0027559394
-
Analysis of alternating direction collocation methods for parabolic and hyperbolic problems in two space variables
-
R. I. Fernandes and G. Fairweather, Analysis of alternating direction collocation methods for parabolic and hyperbolic problems in two space variables, Numer Meth Part Diff Eq, 9 (1993), 191-211.
-
(1993)
Numer Meth Part Diff Eq
, vol.9
, pp. 191-211
-
-
Fernandes, R.I.1
Fairweather, G.2
-
19
-
-
0019590418
-
Alternating-direction collocation for rectangular regions
-
L. J. Hayes, G. F. Pinder, and M. A. Celia, Alternating-direction collocation for rectangular regions, Comput Methods Appl Mech Eng, 27 (1981), 265-277.
-
(1981)
Comput Methods Appl Mech Eng
, vol.27
, pp. 265-277
-
-
Hayes, L.J.1
Pinder, G.F.2
Celia, M.A.3
-
20
-
-
0030393419
-
Domain splitting algorithm for mixed finite element approximations to parabolic problems
-
H. Chen and R. D. Lazarov, Domain splitting algorithm for mixed finite element approximations to parabolic problems, East-West J Numer Math, 4 (1996), 121-135.
-
(1996)
East-West J Numer Math
, vol.4
, pp. 121-135
-
-
Chen, H.1
Lazarov, R.D.2
-
21
-
-
84966201010
-
A finite difference domain decomposition algorithm for numerical solution of the heat equation
-
C. Dawson, Q. Du, and T. F. Dupont, A finite difference domain decomposition algorithm for numerical solution of the heat equation, Math Comput, 57 (1991), 63-71.
-
(1991)
Math Comput
, vol.57
, pp. 63-71
-
-
Dawson, C.1
Du, Q.2
Dupont, T.F.3
-
22
-
-
0002013366
-
Finite volume methods for convection-diffusion problems
-
R. D. Lazarov, I. D. Mishev, and P. S. Vassilevski, Finite volume methods for convection-diffusion problems, SIAM J Numer Anal, 33 (1996), 31-55.
-
(1996)
SIAM J Numer Anal
, vol.33
, pp. 31-55
-
-
Lazarov, R.D.1
Mishev, I.D.2
Vassilevski, P.S.3
-
23
-
-
0001162039
-
Domain decomposition operator splittings for the solution of parabolic equations
-
G. I. Mathew, P. L. Polyakov, G. Russo, and J. Wang, Domain decomposition operator splittings for the solution of parabolic equations, SIAM J Sci Comput, 19 (1998), 912-932.
-
(1998)
SIAM J Sci Comput
, vol.19
, pp. 912-932
-
-
Mathew, G.I.1
Polyakov, P.L.2
Russo, G.3
Wang, J.4
-
24
-
-
9144220381
-
Compact finite difference schemes with spectral-like resolution
-
S. K. Lele, Compact finite difference schemes with spectral-like resolution, J Comput Phys, 103 (1992), 16-42.
-
(1992)
J Comput Phys
, vol.103
, pp. 16-42
-
-
Lele, S.K.1
-
25
-
-
0003766476
-
-
Springer-Verlag, New York
-
C. Canuto, M. Y. Hussaini, A. Quarteroni, T. A. Zang, Spectral methods in fluid dynamics, Springer-Verlag, New York, 1987.
-
(1987)
Spectral Methods in Fluid Dynamics
-
-
Canuto, C.1
Hussaini, M.Y.2
Quarteroni, A.3
Zang, T.A.4
-
27
-
-
0001439584
-
The stability of numerical boundary treatments for compact high-order finite-difference schemes
-
M. H. Carpenter, D. Gottlieb and S. Abarbanel, The stability of numerical boundary treatments for compact high-order finite-difference schemes, J Comput Phys, 108 (1993), 272-295.
-
(1993)
J Comput Phys
, vol.108
, pp. 272-295
-
-
Carpenter, M.H.1
Gottlieb, D.2
Abarbanel, S.3
|