-
1
-
-
0004003433
-
-
SIAM Press, Philadelphia, PA
-
BRENAN, K. E., CAMPBELL, S. L., AND PETZOLD, L. R. 1996. Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations. SIAM Press, Philadelphia, PA.
-
(1996)
Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations
-
-
Brenan, K.E.1
Campbell, S.L.2
Petzold, L.R.3
-
2
-
-
0023329240
-
A local convergence theory for combined inexact-Newton/finite difference projection methods
-
BROWN, P. N. 1987. A local convergence theory for combined inexact-Newton/finite difference projection methods. SIAM J. Numer. Anal. 24, 2, 407-434.
-
(1987)
SIAM J. Numer. Anal.
, vol.24
, Issue.2
, pp. 407-434
-
-
Brown, P.N.1
-
3
-
-
0000152484
-
VODE, a variable-coefficient ODE solver
-
BROWN, P. N., BYRNE, G. D., AND HINDMARSH, A. C. 1989. VODE, a variable-coefficient ODE solver. SIAM J. Sci. Stat. Comput. 10, 1038-1051.
-
(1989)
SIAM J. Sci. Stat. Comput.
, vol.10
, pp. 1038-1051
-
-
Brown, P.N.1
Byrne, G.D.2
Hindmarsh, A.C.3
-
4
-
-
33750393487
-
Reduced storage matrix methods in stiff ODE systems
-
BROWN, P. N. AND HINDMARSH, A. C. 1989. Reduced storage matrix methods in stiff ODE systems. J. Appl. Math. Comp. 31, 49-91.
-
(1989)
J. Appl. Math. Comp.
, vol.31
, pp. 49-91
-
-
Brown, P.N.1
Hindmarsh, A.C.2
-
5
-
-
0000286812
-
Using Krylov methods in the solution of large-scale differential- algebraic systems
-
BROWN, P. N., HINDMARSH, A. C., AND PETZOLD, L. R. 1994. Using Krylov methods in the solution of large-scale differential-algebraic systems. SIAM J. Sci. Comput. 15, 1467-1488.
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 1467-1488
-
-
Brown, P.N.1
Hindmarsh, A.C.2
Petzold, L.R.3
-
6
-
-
0000615467
-
Consistent initial condition calculation for differential-algebraic systems
-
BROWN, P. N., HINDMARSH, A. C., AND PETZOLD, L. R. 1998. Consistent initial condition calculation for differential-algebraic systems. SIAM J. Sci. Comput. 19, 1495-1512.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 1495-1512
-
-
Brown, P.N.1
Hindmarsh, A.C.2
Petzold, L.R.3
-
7
-
-
0000977352
-
Hybrid Krylov methods for nonlinear systems of equations
-
BROWN, P. N. AND SAAD, Y. 1990. Hybrid Krylov methods for nonlinear systems of equations. SIAM J. Sci. Stat. Comput. 11, 450-481.
-
(1990)
SIAM J. Sci. Stat. Comput.
, vol.11
, pp. 450-481
-
-
Brown, P.N.1
And Saad, Y.2
-
8
-
-
0036231313
-
Preconditioning strategies for fully implicit radiation diffusion with material-energy transfer
-
BROWN, P. N. AND WOODWARD, C. S. 2001. Preconditioning strategies for fully implicit radiation diffusion with material-energy transfer. SIAM J. Sci. Comput. 23, 2, 499-516.
-
(2001)
SIAM J. Sci. Comput.
, vol.23
, Issue.2
, pp. 499-516
-
-
Brown, P.N.1
And Woodward, C.S.2
-
9
-
-
0002961497
-
Pragmatic experiments with Krylov methods in the stiff ODE setting
-
J. Cash and I. Gladwell, Eds. Oxford University Press, Oxford, U.K.
-
BYRNE, G. D. 1992. Pragmatic experiments with Krylov methods in the stiff ODE setting. In Computational Ordinary Differential Equations, J. Cash and I. Gladwell, Eds. Oxford University Press, Oxford, U.K., 323-356.
-
(1992)
Computational Ordinary Differential Equations
, pp. 323-356
-
-
Byrne, G.D.1
-
10
-
-
84976767398
-
A polyalgorithm for the numerical solution of ordinary differential equations
-
BYRNE, G. D. AND HINDMARSH, A. C. 1975. A polyalgorithm for the numerical solution of ordinary differential equations. ACM Trans. Math. Softw. 1, 71-96.
-
(1975)
ACM Trans. Math. Softw.
, vol.1
, pp. 71-96
-
-
Byrne, G.D.1
Hindmarsh, A.C.2
-
11
-
-
0343894069
-
User documentation for PVODE, an ODE solver for parallel computers
-
Lawrence Livermore National Laboratory, Livermore, CA
-
BYRNE, G. D. AND HINDMARSH, A. C. 1998. User documentation for PVODE, an ODE solver for parallel computers. Tech. rep. UCRL-ID-130884. Lawrence Livermore National Laboratory, Livermore, CA.
-
(1998)
Tech. Rep.
, vol.UCRL-ID-130884
-
-
Byrne, G.D.1
And Hindmarsh, A.C.2
-
12
-
-
0033353517
-
PVODE, an ODE solver for parallel computers
-
BYRNE, G. D. AND HINDMARSH, A. C. 1999. PVODE, an ODE solver for parallel computers. Intl. J. High Perf. Comput. Apps. 13, 4, 254-365.
-
(1999)
Intl. J. High Perf. Comput. Apps.
, vol.13
, Issue.4
, pp. 254-365
-
-
Byrne, G.D.1
And Hindmarsh, A.C.2
-
13
-
-
0038070188
-
Adjoint sensitivity analysis for differential- Algebraic equations: The adjoint DAE system and its numerical solution
-
CAO, Y., LI, S., PETZOLD, L. R., AND SERBAN, R. 2003. Adjoint sensitivity analysis for differential- algebraic equations: The adjoint DAE system and its numerical solution. SIAM J. Sci. Comput. 24, 3, 1076-1089.
-
(2003)
SIAM J. Sci. Comput.
, vol.24
, Issue.3
, pp. 1076-1089
-
-
Cao, Y.1
Li, S.2
Petzold, L.R.3
Serban, R.4
-
14
-
-
0003846567
-
CVODE user guide
-
Lawrence Livermore National Laboratory, Livermore, CA
-
COHEN, S. D. AND HINDMARSH, A. C. 1994. CVODE user guide. Tech. rep. UCRL-MA-118618. Lawrence Livermore National Laboratory, Livermore, CA.
-
(1994)
Tech. Rep.
, vol.UCRL-MA-118618
-
-
Cohen, S.D.1
Hindmarsh, A.C.2
-
15
-
-
0030105583
-
-
COHEN, S. D. AND HINDMAESH, A. C. 1996. CVODE, a stiff/nonstiff ODE solver in C. Comput. Phys. 10, 2, 138-143.
-
(1996)
CVODE, A Stiff/nonstiff ODE Solver in C. Comput. Phys.
, vol.10
, Issue.2
, pp. 138-143
-
-
Cohen, S.D.1
Hindmaesh, A.C.2
-
16
-
-
33745214786
-
User documentation for KINSOL v2.2.1
-
Lawrence Livermore National Laboratory, Livermore, CA
-
COLLIER, A. M., HINDMARSH, A. C., SERBAN, R., AND WOODWARD, C. S. 2004. User documentation for KINSOL v2.2.1. LLNL Tech. rep. UCRL-SM-208116. Lawrence Livermore National Laboratory, Livermore, CA.
-
(2004)
LLNL Tech. Rep.
, vol.UCRL-SM-208116
-
-
Collier, A.M.1
Hindmarsh, A.C.2
Serban, R.3
Woodward, C.S.4
-
17
-
-
84952419741
-
On the estimation of sparse Jacobian matrices
-
CURTIS, A. R., POWELL, M. J. D., AND REID, J. K. 1974. On the estimation of sparse Jacobian matrices. J. Inst. Math. Applic. 13, 117-119.
-
(1974)
J. Inst. Math. Applic.
, vol.13
, pp. 117-119
-
-
Curtis, A.R.1
Powell, M.J.D.2
Reid, J.K.3
-
18
-
-
0000746005
-
Inexact Newton methods
-
DEMBO, R. S., EISENSTAT, S. C., AND STEIHAUG, T. 1982. Inexact Newton methods. SIAM J. Numer. Anal. 19, 400-408.
-
(1982)
SIAM J. Numer. Anal.
, vol.19
, pp. 400-408
-
-
Dembo, R.S.1
Eisenstat, S.C.2
Steihaug, T.3
-
19
-
-
0004041275
-
-
SIAM, Press, Philadelphia, PA
-
DENNIS, J. E. AND SCHNABEL, R. B. 1996. Numerical Methods for unconstrained Optimization and Nonlinear Equations. SIAM, Press, Philadelphia, PA.
-
(1996)
Numerical Methods for Unconstrained Optimization and Nonlinear Equations
-
-
Dennis, J.E.1
Schnabel, R.B.2
-
20
-
-
0003176174
-
Choosing the forcing terms in an inexact Newton method
-
EISENSTAT, S. C. AND WALKER, H. F. 1996. Choosing the forcing terms in an inexact Newton method. SIAM J. Sci. Comput. 17, 16-32.
-
(1996)
SIAM J. Sci. Comput.
, vol.17
, pp. 16-32
-
-
Eisenstat, S.C.1
Walker, H.F.2
-
21
-
-
0031257067
-
Efficient sensitivity analysis of large-scale differential-algebraic systems
-
FEEHERY, W. F., TOLSMA, J. E., AND BARTON, P. I. 1997. Efficient sensitivity analysis of large-scale differential-algebraic systems. Appl. Num. Math. 25, 1, 41-54.
-
(1997)
Appl. Num. Math.
, vol.25
, Issue.1
, pp. 41-54
-
-
Feehery, W.F.1
Tolsma, J.E.2
Barton, P.I.3
-
22
-
-
0003589989
-
-
Springer-Verlag, Berlin, Germany
-
HAIRER, E. AND WANNER, G. 1991. Solving Ordinary Differential Equations II, Stiff and Differential-Algebraic Problems. Springer-Verlag, Berlin, Germany.
-
(1991)
Solving Ordinary Differential Equations II, Stiff and Differential-Algebraic Problems
-
-
Hairer, E.1
Wanner, G.2
-
23
-
-
33646303129
-
Implicitly defined output points for solutions of ODEs
-
Sandia National Laboratories, Albuquerque, NM
-
HIEBERT, K. L. AND SHAMPINE, L. F. 1980. Implicitly defined output points for solutions of ODEs. Tech. rep. SAND80-0180. Sandia National Laboratories, Albuquerque, NM.
-
(1980)
Tech. Rep.
, vol.SAND80-0180
-
-
Hiebert, K.L.1
Shampine, L.F.2
-
24
-
-
1542797920
-
Detecting stability barriers in BDF solvers
-
J. Cash and I. Gladwell, Eds. Oxford University Press, Oxford, U.K.
-
HINDMARSH, A. C. 1992. Detecting stability barriers in BDF solvers. In Computational Ordinary Differential Equations, J. Cash and I. Gladwell, Eds. Oxford University Press, Oxford, U.K., 87-96.
-
(1992)
Computational Ordinary Differential Equations
, pp. 87-96
-
-
Hindmarsh, A.C.1
-
25
-
-
0000351432
-
Avoiding BDF stability barriers in the MOL solution of advection-dominated problems
-
HINDMARSH, A. C. 1995. Avoiding BDF stability barriers in the MOL solution of advection-dominated problems. Appl. Num. Math. 17, 311-318.
-
(1995)
Appl. Num. Math.
, vol.17
, pp. 311-318
-
-
Hindmarsh, A.C.1
-
26
-
-
33745209552
-
The PVODE and IDA algorithms
-
Lawrence Livermore National Laboratory, Livermore, CA
-
HINDMARSH, A. C. 2000. The PVODE and IDA algorithms. Tech. rep. UCRL-ID-141558. Lawrence Livermore National Laboratory, Livermore, CA.
-
(2000)
Tech. Rep.
, vol.UCRL-ID-141558
-
-
Hindmarsh, A.C.1
-
27
-
-
33745201735
-
User documentation for CVODE v2.2.1
-
Lawrence Livermore National Laboratory, Livermore, CA
-
HINDMARSH, A. C. AND SERBAN, R. 2004a. User documentation for CVODE v2.2.1. LLNL Tech. rep. UCRL-SM-208108. Lawrence Livermore National Laboratory, Livermore, CA.
-
(2004)
LLNL Tech. Rep.
, vol.UCRL-SM-208108
-
-
Hindmarsh, A.C.1
Serban, R.2
-
28
-
-
33745201735
-
User documentation for CVODES v2.2.1
-
Lawrence Livermore National Laboratory, Livermore, CA
-
HINDMARSH, A. C. AND SERBAN, R. 2004b. User documentation for CVODES v2.2.1. LLNL Tech. rep. UCRL-SM-208111. Lawrence Livermore National Laboratory, Livermore, CA.
-
(2004)
LLNL Tech. Rep.
, vol.UCRL-SM-208111
-
-
Hindmarsh, A.C.1
Serban, R.2
-
29
-
-
33745201735
-
User documentation for IDA v2.2.1
-
Lawrence Livermore National Laboratory, Livermore, CA
-
HINDMARSH, A. C. AND SERBAN, R. 2004c. User documentation for IDA v2.2.1. LLNL Tech. rep. UCRL-SM-208112. Lawrence Livermore National Laboratory, Livermore, CA.
-
(2004)
LLNL Tech. Rep.
, vol.UCRL-SM-208112
-
-
Hindmarsh, A.C.1
Serban, R.2
-
30
-
-
0019053947
-
An alternative implementation of variable step-size multistep formulas for stiff ODEs
-
JACKSON, K. R. AND SACKS-DAVIS, R. 1980. An alternative implementation of variable step-size multistep formulas for stiff ODEs. ACM Trans. Math. Softw. 6, 295-318.
-
(1980)
ACM Trans. Math. Softw.
, vol.6
, pp. 295-318
-
-
Jackson, K.R.1
Sacks-Davis, R.2
-
31
-
-
0035398643
-
Newton-Krylov-multigrid solvers for large-scale, highly heterogeneous, variably saturated flow problems
-
JONES, J. E. AND WOODWARD, C. S. 2001. Newton-Krylov-multigrid solvers for large-scale, highly heterogeneous, variably saturated flow problems. Adv. Water Resourc. 24, 763-774.
-
(2001)
Adv. Water Resourc.
, vol.24
, pp. 763-774
-
-
Jones, J.E.1
Woodward, C.S.2
-
33
-
-
0242718351
-
User documentation for SensPVODE, a variant of PVODE for sensitivity analysis
-
Lawrence Livermore National Laboratory, Livermore, CA
-
LEE, S. L., HINDMARSH, A. C., AND BROWN, P. N. 2000. User documentation for SensPVODE, a variant of PVODE for sensitivity analysis. Tech. Rep. UCRL-MA-140211. Lawrence Livermore National Laboratory, Livermore, CA.
-
(2000)
Tech. Rep.
, vol.UCRL-MA-140211
-
-
Lee, S.L.1
Hindmarsh, A.C.2
Brown, P.N.3
-
34
-
-
0242511122
-
Analyzing radiation diffusion using time-dependent sensitivity-based techniques
-
LEE, S. L., WOODWARD, C. S., AND GRAZIANI, F. 2003. Analyzing radiation diffusion using time-dependent sensitivity-based techniques. J. Comp. Phys. 192, 1, 211-230.
-
(2003)
J. Comp. Phys.
, vol.192
, Issue.1
, pp. 211-230
-
-
Lee, S.L.1
Woodward, C.S.2
Graziani, F.3
-
35
-
-
0030083833
-
Numerical methods and software for sensitivity analysis of differential-algebraic systems
-
MALY, T. AND PETZOLD, L. R. 1996. Numerical methods and software for sensitivity analysis of differential-algebraic systems. Appl. Num. Math. 20, 57-79.
-
(1996)
Appl. Num. Math.
, vol.20
, pp. 57-79
-
-
Maly, T.1
Petzold, L.R.2
-
36
-
-
0003588772
-
Description and use of LSODE, the livermore solver for ordinary differential equations
-
Lawrence Livermore National Laboratory, Livermore, CA
-
RADHAKRISHNAN, K. AND HINDMARSH, A. C. 1993. Description and use of LSODE, the Livermore solver for ordinary differential equations. Tech. rep. UCRL-ID-113855. Lawrence Livermore National Laboratory, Livermore, CA.
-
(1993)
Tech. Rep.
, vol.UCRL-ID-113855
-
-
Radhakrishnan, K.1
Hindmarsh, A.C.2
-
37
-
-
0036163166
-
Application of parallel implicit methods to edge-plasma numerical simulations
-
ROGNLIEN, T. D., XU, X. Q., AND HINDMARSH, A. C. 2002. Application of parallel implicit methods to edge-plasma numerical simulations. J. Comp. Phys. 175, 249-268.
-
(2002)
J. Comp. Phys.
, vol.175
, pp. 249-268
-
-
Rognlien, T.D.1
Xu, X.Q.2
Hindmarsh, A.C.3
-
38
-
-
0000048673
-
Gmres: A generalized minimal residual algorithm for solving nonsymmetric linear systems
-
SAAD, Y. AND SCHULTZ, M. H. 1986. GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comp. 7, 856-869.
-
(1986)
SIAM J. Sci. Stat. Comp.
, vol.7
, pp. 856-869
-
-
Saad, Y.1
Schultz, M.H.2
-
39
-
-
33244498093
-
CVODES, the sensitivity-enabled ODE solver in SUNDIALS
-
(Long Beach, CA, Sep. 24-28). Also published as 2005 LLNL Tech. rep. UCRL-PROC-21030, Lawrence Livermore National Laboratory, Livermore, CA
-
SERBAN, R. AND HINDMAHSH, A. C. 2005. CVODES, the Sensitivity-enabled ODE solver in SUNDIALS. In Proceedings of the 2005 ASME International Design Engineering Technical Conference (Long Beach, CA, Sep. 24-28). Also published as 2005 LLNL Tech. rep. UCRL-PROC-21030, Lawrence Livermore National Laboratory, Livermore, CA.
-
(2005)
Proceedings of the 2005 ASME International Design Engineering Technical Conference
-
-
Serban, R.1
Hindmahsh, A.C.2
-
40
-
-
0031654361
-
A newton-krylov-multigrid solver for variably saturated flow problems
-
Computational Mechanics Publications, Southampton, U.K.
-
WOODWARD, C. S. 1998. A Newton-Krylov-multigrid solver for variably saturated flow problems. In Proceedings of the Twelfth International Conference on Computational Methods in Water Resources, vol. 2. Computational Mechanics Publications, Southampton, U.K., 609-616.
-
(1998)
Proceedings of the Twelfth International Conference on Computational Methods in Water Resources
, vol.2
, pp. 609-616
-
-
Woodward, C.S.1
-
41
-
-
77956970902
-
Applications of sensitivity analysis to uncertainty quantification for variably saturated flow
-
S. M. Hassanizadeh, R. J. Schotting, W. G. Gray, and G. P. Pinder, Eds. Elsevier, Amsterdam, The Netherlands
-
WOODWARD, C. S., GRANT, K. E., AND MAXWELL, R. 2002. Applications of sensitivity analysis to uncertainty quantification for variably saturated flow. In Computational Methods in Water Resources, S. M. Hassanizadeh, R. J. Schotting, W. G. Gray, and G. P. Pinder, Eds. Elsevier, Amsterdam, The Netherlands, 73-80.
-
(2002)
Computational Methods in Water Resources
, pp. 73-80
-
-
Woodward, C.S.1
Grant, K.E.2
Maxwell, R.3
|