-
1
-
-
15944385321
-
Fully implicit solution of large-scale non-equilibrium radiation diffusion with high order time integration
-
P. N. BROWN, D. E. SHUMAKER, and C. S. WOODWARD, "Fully Implicit Solution of Large-Scale Non-Equilibrium Radiation Diffusion with High Order Time Integration," J. Comput. Phys., 204, 760 (2005).
-
(2005)
J. Comput. Phys.
, vol.204
, pp. 760
-
-
Brown, P.N.1
Shumaker, D.E.2
Woodward, C.S.3
-
2
-
-
1842817865
-
A comparison of implicit time integration methods for nonlinear relaxation and diffusion
-
R. B. LOWRIE, "A Comparison of Implicit Time Integration Methods for Nonlinear Relaxation and Diffusion," J. Comput. Phys., 196, 566 (2004).
-
(2004)
J. Comput. Phys.
, vol.196
, pp. 566
-
-
Lowrie, R.B.1
-
3
-
-
1442332730
-
Studies on the accuracy of time integration methods for radiation-diffusion equations
-
C. C. OBER and J. N. SHADID, "Studies on the Accuracy of Time Integration Methods for Radiation-Diffusion Equations," J. Comput. Phys., 195, 743 (2004).
-
(2004)
J. Comput. Phys.
, vol.195
, pp. 743
-
-
Ober, C.C.1
Shadid, J.N.2
-
4
-
-
1442282996
-
Studies of the accuracy of time integration methods for reaction-diffusion equations
-
D. L. ROPP, J. N. SHADID, and C. C. OBER, "Studies of the Accuracy of Time Integration Methods for Reaction-Diffusion Equations," J. Comput. Phys., 194, 544 (2004).
-
(2004)
J. Comput. Phys.
, vol.194
, pp. 544
-
-
Ropp, D.L.1
Shadid, J.N.2
Ober, C.C.3
-
5
-
-
0037336326
-
On balanced approximations for time integration of multiple time scale systems
-
D. A. KNOLL, L. CHACON, L. G. MARGOLIN, and V. A. MOUSSEAU, "On Balanced Approximations for Time Integration of Multiple Time Scale Systems," J. Comput. Phys., 185, 583 (2003).
-
(2003)
J. Comput. Phys.
, vol.185
, pp. 583
-
-
Knoll, D.A.1
Chacon, L.2
Margolin, L.G.3
Mousseau, V.A.4
-
6
-
-
0042858337
-
New physics-based preconditioning of implicit methods for non-equilibrium radiation diffusion
-
V. A. MOUSSEAU and D. A. KNOLL, "New Physics-Based Preconditioning of Implicit Methods for Non-Equilibrium Radiation Diffusion," J. Comput. Phys., 190, 42 (2003).
-
(2003)
J. Comput. Phys.
, vol.190
, pp. 42
-
-
Mousseau, V.A.1
Knoll, D.A.2
-
7
-
-
0000109908
-
Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion
-
V. A. MOUSSEAU, D. A. KNOLL, and W. J. RIDER, "Physics-Based Preconditioning and the Newton-Krylov Method for Non-Equilibrium Radiation Diffusion," J. Comput. Phys., 160, 743 (2000).
-
(2000)
J. Comput. Phys.
, vol.160
, pp. 743
-
-
Mousseau, V.A.1
Knoll, D.A.2
Rider, W.J.3
-
8
-
-
0002404123
-
An efficient nonlinear solution method for non-equilibrium radiation diffusion
-
D. A. KNOLL, W. J. RIDER, and G. L. OLSON, "An Efficient Nonlinear Solution Method for Non-Equilibrium Radiation Diffusion," J. Quant. Spectrosc. Radiat. Transfer, 63, 15 (1999).
-
(1999)
J. Quant. Spectrosc. Radiat. Transfer
, vol.63
, pp. 15
-
-
Knoll, D.A.1
Rider, W.J.2
Olson, G.L.3
-
9
-
-
0026955540
-
Numerical transport and diffusion methods in radiative transfer
-
R. H. SZILARD and G. C. POMRANING, "Numerical Transport and Diffusion Methods in Radiative Transfer," Nucl. Sci. Eng., 112, 256 (1992).
-
(1992)
Nucl. Sci. Eng.
, vol.112
, pp. 256
-
-
Szilard, R.H.1
Pomraning, G.C.2
-
11
-
-
32644442468
-
Transport phenomena in a completely ionized gas
-
L. SPITZER and R. HARM, "Transport Phenomena in a Completely Ionized Gas," Phys. Rev., 89, 977 (1953).
-
(1953)
Phys. Rev.
, vol.89
, pp. 977
-
-
Spitzer, L.1
Harm, R.2
-
13
-
-
0001651643
-
Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms
-
T. F. CHAN and K. R. JACKSON, "Nonlinearly Preconditioned Krylov Subspace Methods for Discrete Newton Algorithms," SIAM J. Sci. Stat. Comput., 5, 533 (1984).
-
(1984)
SIAM J. Sci. Stat. Comput.
, vol.5
, pp. 533
-
-
Chan, T.F.1
Jackson, K.R.2
-
14
-
-
0000977352
-
Hybrid Krylov methods for nonlinear systems of equations
-
P. N. BROWN and Y. SAAD, "Hybrid Krylov Methods for Nonlinear Systems of Equations," SIAM J. Sci. Stat. Cornput., 11, 450 (1990).
-
(1990)
SIAM J. Sci. Stat. Cornput.
, vol.11
, pp. 450
-
-
Brown, P.N.1
Saad, Y.2
-
15
-
-
0348198275
-
Jacobian-free Newton-Krylov methods: A survey of approaches and applications
-
D. A. KNOLL and D. E. KEYES, "Jacobian-Free Newton-Krylov Methods: A Survey of Approaches and Applications," J. Comput. Phys., 193, 357 (2004).
-
(2004)
J. Comput. Phys.
, vol.193
, pp. 357
-
-
Knoll, D.A.1
Keyes, D.E.2
-
16
-
-
0000048673
-
GMRES: A generalized minimal residual algorithm for solving non-symmetric linear systems
-
Y. SAAD and M. H. SCHULTZ, "GMRES: A Generalized Minimal Residual Algorithm for Solving Non-Symmetric Linear Systems," SIAM J. Sci. Stat. Comput., 7, 856 (1986).
-
(1986)
SIAM J. Sci. Stat. Comput.
, vol.7
, pp. 856
-
-
Saad, Y.1
Schultz, M.H.2
-
17
-
-
0000746005
-
Inexact Newton methods
-
R. DEMBO, S. EISENSTAT, and T. STEIHAUG, "Inexact Newton Methods," SIAM J. Numer. Anal., 19, 400 (1982).
-
(1982)
SIAM J. Numer. Anal.
, vol.19
, pp. 400
-
-
Dembo, R.1
Eisenstat, S.2
Steihaug, T.3
-
18
-
-
0022738825
-
Matrix-free methods for stiff systems of ODE's
-
P. N. BROWN and A. C. HINDMARSH, "Matrix-Free Methods for Stiff Systems of ODE's," SIAM J. Numer. Anal., 23, 610 (1986).
-
(1986)
SIAM J. Numer. Anal.
, vol.23
, pp. 610
-
-
Brown, P.N.1
Hindmarsh, A.C.2
-
19
-
-
0000112658
-
A truncated Newton optimization algorithm in meteorology applications with analytic hessian/vector products
-
Z. WANG, I. M. NAVON, X. ZOU, and F. X. LE DIMET, "A Truncated Newton Optimization Algorithm in Meteorology Applications with Analytic Hessian/Vector Products," Cornput. Optimiz. Appl., 4, 241 (1995).
-
(1995)
Cornput. Optimiz. Appl.
, vol.4
, pp. 241
-
-
Wang, Z.1
Navon, I.M.2
Zou, X.3
Le Dimet, F.X.4
-
20
-
-
0001518684
-
On the construction of difference schemes
-
G. STRANG, "On the Construction of Difference Schemes," SIAM J. Numer. Anal., 5, 506 (1968).
-
(1968)
SIAM J. Numer. Anal.
, vol.5
, pp. 506
-
-
Strang, G.1
-
21
-
-
0343773104
-
Nonlinear convergence, accuracy, and time step control in nonequilibrium radiation diffusion
-
D. A. KNOLL, W. J. RIDER, and G. L. OLSON, "Nonlinear Convergence, Accuracy, and Time Step Control in Nonequilibrium Radiation Diffusion," J. Quant. Spectrosc. Radiat. Transfer, 70, 25 (2001).
-
(2001)
J. Quant. Spectrosc. Radiat. Transfer
, vol.70
, pp. 25
-
-
Knoll, D.A.1
Rider, W.J.2
Olson, G.L.3
-
22
-
-
0001481696
-
Time step size selection for radiation diffusion calculations
-
W. J. RIDER and D. A. KNOLL, "Time Step Size Selection for Radiation Diffusion Calculations," J. Comput. Phys., 152, 790 (1999).
-
(1999)
J. Comput. Phys.
, vol.152
, pp. 790
-
-
Rider, W.J.1
Knoll, D.A.2
|