2007 | 2005 | 2004 | 2003 | 2002
| 2001 | 2000 | 1999
| 1998 | 1997 | 1996
| 1995 | 1994 | 1993
| 1992 | 1989 | 1988
| 1987 | 1986 | 1985
| 1983 | 1977 | 1976
2007
Alan C. Hindmarsh and Radu Serban (2007),
"SUNDIALS Equation Solvers," Scholarpedia, p.10676.
[
article].
2005
Radu Serban and Alan C. Hindmarsh, "CVODES: the Sensitivity-Enabled ODE Solver in SUNDIALS, Proceedings of IDETC/CIE 2005, ASME, Sept. 24-28, 2005, Long Beach, Ca, USA.
Also available as Lawrence Livermore National Laboratory Technical Report UCRL-PROC-210300, March 2005
[PDF].
Alan C. Hindmarsh, Peter N. Brown,
Keith E. Grant, Steven L. Lee, Radu Serban, Dan E. Shumaker, and Carol S. Woodward, "
SUNDIALS: Suite of Nonlinear and Differential/Algebraic Equation Solvers,"
ACM Transactions on Mathematical Software, 31 (3), Sept. 2005, pp. 363-396.
Also available as Lawrence Livermore National Laboratory Technical
Report UCRL-JP-200037 [PDF].
Peter N. Brown, Dana E. Shumaker, and Carol S. Woodward, "Fully Implicit Solution of Large-Scale Non-Equilibrium Radiation Diffusion with High Order Time Integration," to appear in Journal on Computational Physics. Also available as Lawrence Livermore National Laboratory Technical Report UCRL-JRNL-203809 [PDF].
2004
Milller, D.S. and C.S. Woodward, "Exploring Nonlinear Couplings in Radiation Diffusion Problems," Proceedings of the NECDC 2004. UCRL-CONF-155727.
Walker, Homer, and Carol S. Woodward, "Application Scientists Join Algorithm Designers at Workshop on Large-Scale Nonlinear Problems," SIAM News, March 2004, 37 (2).
2003
Steven L.
Lee, Carol S. Woodward, and Frank Graziani, "Analyzing
Radiation Diffusion using Time-Dependent Sensitivity-Based
Techniques,"Journal of Computational
Physics, 192, (1), (2003), pp. 211-230,. Also available as Lawrence Livermore National
Laboratory Technical Report UCRL-JC-152392 [PDF].
Peter N. Brown, Panayot Vassilevski, and Carol S. Woodward, "On Mesh-Independent Convergence of an Inexact Newton-Multigrid Algorithm," SIAM Journal on Scientific Computing, 25, (2) 2003, pp. 570-590. Also available as Lawrence Livermore National Laboratory Technical Report UCRL-JC-148376 [PDF].
Jones, J.E., P.S. Vassilevski, and C.S. Woodward, "Nonlinear Schwarz-FAS Methods for Unstructured Finite Element Problems," proceedings of Second M.I.T. Conference on Computational Fluid and Solid Mechanics, Cambridge, MA, June 17-20, 2003. Also Available as LLNL Technical Report UCRL-JC-150427.
2002
Dumett, M.,
P. Vassilevski, and C. S. Woodward, "A Multigrid Method
for Nonlinear Unstructured Finite Element Elliptic Equations,"
submitted, (2002). Also available as LLNL Technical Report
UCRL-JC-150513 [PDF].
Jim E. Jones,
Panayot S. Vassilevski, and Carol S. Woodward, "Nonlinear
Schwarz-FAS Methods for Unstructured Finite Element Problems," submitted to Second M.I.T. Conference on Computational
Fluid and Solid Mechanics, Cambridge, MA, June 17-20,
2003. Also available as Lawrence Livermore National Laboratory
Technical Report UCRL-JC-150427. [PDF].
Dumett, M., P. Vassilevski, and C. S. Woodward, "A Multigrid Method for Nonlinear Unstructured Finite Element Elliptic Equations," (2002). Available as LLNL Technical Report UCRL-JC-150513.
Hindmarsh, Alan C. and Serban, Radu, "User Documentation
for CVODES, An ODE Solver with Sensitivity Analysis Capabilities,"
Lawrence Livermore National Laboratory Technical Report UCRL-MA-148813,
July 2002. [PDF].
Woodward, Carol S., Keith E. Grant, and Reed Maxwell, "Applications
of Sensitivity Analysis to Uncertainty Quantification for Variably
Saturated Flow," S. M. Hassanizadeh, R. J. Schotting, W.
G. Gray, and G. F. Pinder, Eds., Computational Methods in Water
Resources, Vol. 1, Elsevier, Amsterdam, 2002, pp. 73-80. Available
as LLNL Technical Report UCRL-JC-146976. [PDF].
2001
Brown, Peter
N., Keith E. Grant, and Carol S. Woodward, "On the Calculation
of Uncertainties for 3-D Time-Dependent Neutral Particle Transport,"
submitted to Journal of Computational Physics, 2001.
Also available as Lawrence Livermore National Laboratory Technical Report UCRL-JC-146186, November 2001 [PDF].
Alan C. Hindmarsh, "The PVODE Trio: PVODE, KINSOL, and
IDA," UCRL-JC-145579, October 2001; presented at the ACTS
Toolkit Workshop, Berkeley, October 2001 [PDF].
Jones, Jim E., and Carol S. Woodward, "Newton-Krylov-Multigrid
Solvers for Large-Scale, Highly Heterogeneous, Variably Saturated
Flow Problems,"
Advances in Water Resources , 24, July 2001,
763-774. Also available as LLNL Technical Report UCRL-JC-138618
[PDF].
Brown, Peter N., and Carol S. Woodward, "Preconditioning
Strategies for Fully Implicit Radiation Diffusion With Material-Energy
Transfer," SIAM Journal on Scientific Computing,
23 May 2001, 499-516. Also available as LLNL Technical Report UCRL-JC-139087 [PDF].
Hovland, Paul, Steven Lee, Lois McInnes, Boyana Norris, and
Barry Smith, "Challenges and Opportunities in Using Automatic
Differentiation with Object-Oriented Toolkits for Scientific
Computing," Lawrence Livermore National Laboratory Technical Report UCRL-JC-143410, April 2001.
Walker, Homer and Carol S. Woodward, "Solution Methods
for Large-Scale Nonlinear Problems: An Evolving Research Area,"
in SIAM News, April 2001, page 16. Also available as
LLNL Technical Report UCRL-MI-141913.
Brown,
Peter N., Frank Graziani, Ivan Otero, and Carol S. Woodward,
"Implicit Solution of Large-Scale Radiation Diffusion Problems,"
Nuclear Explosives Code Developers' Collaborations, Oakland,
CA, October 23-27, 2001. Also available as Lawrence Livermore
National Laboratory Technical Report UCRL-JC-141881, January
2001 [PDF].
Brown, P.N., K. E. Grant, and C. S. Woodward, "On the Calculation of Uncertainties for 3D Time-Dependent Neutral Particle Transport," (2001). Available as LLNL Technical Report UCRL-JC-146186.
2000
Hindmarsh,
Alan C., "The PVODE and IDA Algorithms," Lawrence Livermore
National Laboratory Technical Report UCRL-ID-141558, December
2000 [PDF].
Alan C. Hindmarsh and Mark D. Rotter, "Using an ODE Solver
for a Class of Integro-Differential Systems," J. Comput.
Phys. 168 (2001), pp. 267-285. Also available as Lawrence
Livermore National Laboratory Technical Report UCRL-JC-138647,
April 2000 [PDF].
Jones, Jim E., and Carol S. Woodward, "Preconditioning Newton-Krylov
Methods for Variably Saturated Flow," Proc. VIII Int. Conf.
Comput. Meth. Water Resources, Calgary, Alberta, Canada, June
25-29, 2000. L. R. Bentley, J. F. Sykes, C. Brebbia, W. Gray,
G. F. Pinder, Eds., Computational Methods in Water Resources,
Balkema, Rotterdam, 2000. Vol. 1, pp. 101-106. Also available
as Lawrence Livermore National Laboratory Technical Report UCRL-JC-137011,
June 2000 [PDF].
Lee, Steven L., Alan C. Hindmarsh, and Peter N. Brown, "User
Documentation for SensPVODE, a Variant of PVODE for Sensitivity
Analysis," Lawrence Livermore National Laboratory Technical Report UCRL-MA-140211, August 2000 [PDF].
Lee, Steven L., and Paul D. Hovland, "Sensitivity Analysis
Using Parallel ODE Solvers and Automatic Differentiation in
C: SensPVODE and ADIC," to appear in Proc. Automatic
Differentiation: From Simulation to Optimization, June 19-23,
2000. Springer-Verlag, 2001, Ch. 26. p. 217. Also available
as Lawrence Livermore National Laboratory Technical Report UCRL-JC-137728,
September 2000.
Rognlien, T. D., X. Q. Xu, and A. C. Hindmarsh, "Application
of Parallel Implicit Methods to Edge-Plasma Numerical Simulations,"
J. Comput. Phys., to appear. Also available as Lawrence
Livermore National Laboratory Technical Report UCRL-JC-138518,
April 2000 [PDF].
Woodward, C. S., and C. N. Dawson, "Analysis of Expanded
Mixed Finite Element Methods for a Nonlinear Parabolic Equation
Modeling Flow into Variably Saturated Porous Media," SIAM
J. Numer. Anal., 37, (2000), pp. 701-724. Also available
as Lawrence Livermore National Laboratory Technical Report UCRL-JC-125567.
1999
Brown, Peter
N., Britton Chang, Frank Graziani, and Carol S. Woodward, "Implicit
Solution of Large-Scale Radiation-Material Energy Transfer Problems,"
Iterative Meth. Sci. Comput. IV, Volume 5 of Series in
Computational and Applied Mathematics, IMACS, New Brunswick,
NJ, D. R. Kincaid, A. C. Elster, Eds., 1999. pp. 342-356. Also
available as Lawrence Livermore National Laboratory Technical Report UCRL-JC-132831, January 1999.
Byrne, George D., and Alan C. Hindmarsh, "PVODE, An ODE Solver
for Parallel Computers," Int. J. High Perf. Comput. Apps.,
13, (4), (1999), pp. 354-365. Also available as Lawrence Livermore
National Laboratory Technical Report UCRL-JC-132361 Rev. 1,
May 1999 [PDF].
Hindmarsh, Alan C., and A. G. Taylor, "User Documentation
for IDA, a Differential-Algebraic Equation Solver for Sequential
and Parallel Computers," Lawrence Livermore National Laboratory
technical manual UCRL-MA-136910, December 1999 [PDF].
1998
Brown, P. N., A. C. Hindmarsh,
and L. R. Petzold, "Consistent Initial Condition Calculation
for Differential-Algebraic Systems," SIAM J. Sci. Comput.,
19, (1998), pp. 1495-1512. Also available as Lawrence Livermore
National Laboratory Technical Report UCRL-JC-122175 Rev. 1,
June 1996 [PDF].
Byrne, G. D., and A. C. Hindmarsh, "User Documentation for
PVODE, An ODE Solver for Parallel Computers," Lawrence Livermore
National Laboratory Technical Report UCRL-ID-130884, May 1998
[PDF].
Dawson, C. N., M. F. Wheeler, and C. S. Woodward, "A Two-Grid
Finite Difference Scheme for Nonlinear Parabolic Equations"
SIAM J. Numer. Anal., 35, (2), (1998), pp. 435-452. Also
available as Lawrence Livermore National Laboratory Technical Report UCRL-JC-125599, October 1996 [PDF].
Hindmarsh, A. C., and A. G. Taylor, "PVODE and KINSOL: Parallel
Software for Differential and Nonlinear Systems," Lawrence
Livermore National Laboratory Technical Report UCRL-ID-129739,
February 1998 [PDF]].
Taylor, Allan G., and Alan C. Hindmarsh, "User Documentation
for KINSOL, A Nonlinear Solver for Sequential and Parallel Computers,"
Lawrence Livermore National Laboratory Technical Report UCRL-ID-131185,
July 1998 [PDF].
Woodward, C. S., "A Newton-Krylov-Multigrid Solver for Variably
Saturated Flow Problems," Proc. XII Int. Conf. Comput. Meth.
Water Resources, Crete, Greece, June 15-19, 1998. Computational
Mechanics Publications, Southampton, UK, Vol. 2, pp. 606-616.
Also available as Lawrence Livermore National Laboratory Technical Report UCRL-JC-129371, June 1998.
1997
Dawson, C. N., H. Klie, M. F.
Wheeler, and C. S. Woodward, "A Parallel, Implicit, Cell-Centered
Method for Two-Phase Flow With a Preconditioned Newton-Krylov
Solver," J. Comput. Geosci., 1, (1997), pp. 215-249.
1996
Cohen, S. D., and A. C. Hindmarsh,
"CVODE, A Stiff/Nonstiff ODE Solver in C," Computers
in Physics, 10, (2), (March April 1996), pp. 138-143. Also
available as Lawrence Livermore National Laboratory Technical Report UCRL-JC-121014 Rev. 1, August 1995 [PDF].
Henson, Van Emden, and A. W. Shaker, "Theory and Numerics
for a Semilinear Elliptic PDE, With an Application in the Theory
of Pseudoplastic Fluids," Applicable Analysis, 63,
(1996), pp. 271-285.
Wittman, Michael R., "Testing of PVODE, a Parallel ODE Solver,"
Lawrence Livermore National Laboratory Technical Report UCRL-ID-125562,
August 1996 [PDF].
1995
Henson, Van
Emden, and A. Shaker, "Multigrid Solution of a Singular Nonlinear
BVP in Fluid Theory," 1st Asian Comput. Fluid. Dynam. Conf.,
Hong Kong University of Science and Technology, 1995. 2, pp.
791-796.
Hindmarsh, A. C., "Avoiding BDF Stability Barriers in the
MOL Solution of Advection-Dominated Problems," Appl.
Numer. Math., 17, (1995), pp. 311-318. Also available as
Lawrence Livermore National Laboratory Technical Report UCRL-JC-116618
Rev. 1, April 1994 [PDF].
Hindmarsh, A. C., and L. R. Petzold, "Algorithms and Software
for Ordinary Differential Equations and Differential-Algebraic
Equations," Computers in Physics, 9, (1995), pp.
34-41 and 148-155. Also available as Lawrence Livermore National
Lab Technical Report UCRL-JC-116619, April 1994 [PDF].
1994
Brown, P. N., A. C. Hindmarsh,
and L. R. Petzold, "Using Krylov Methods in the Solution
of Large-Scale Differential-Algebraic Systems," SIAM
J. Sci. Comput., 15, (1994), pp. 1467-1488. Also available
as Lawrence Livermore National Laboratory Technical Report UCRL-JC-113507,
March 1993 [PDF].
Cohen, S. D., and A. C. Hindmarsh, "CVODE User Guide,"
Lawrence Livermore National Laboratory Technical Report UCRL-MA-118618,
September 1994 [PDF].
1993
Radhakrishnan, Krishnan, and
Alan C. Hindmarsh, "Description and Use of LSODE, the Livermore
Solver for Ordinary Differential Equations," NASA reference
publication 1327. Also available as Lawrence Livermore National
Laboratory Technical Report UCRL-ID-113855, 1993 [PDF].
Henson, Van Emden, and A. Shaker, "Multigrid Methods for
a Semilinear PDE in the Theory of Pseudoplastic Fluids,"
Proc. Copper Mt. Conf. Multigrid Meth., Copper Mountain, CO,
1993. pp. 231-342. NASA Conference Publications, CP-3224.
1992
A. C. Hindmarsh, "Detecting
Stability Barriers in BDF Solvers," in Computational
Ordinary Differential Equations, J. R. Cash and I. Gladwell
(eds.), Carendon Press, Oxford, 1992, pp. 87-96. Also UCRL-101197,
June 1989 [PDF].
1989
P. N. Brown and A. C. Hindmarsh,
"Reduced Storage Matrix Methods in Stiff ODE Systems,"
J. Appl. Math. & Comput. 31 (1989), pp. 40-91. Also UCRL-95088
Rev.1, June 1987 [PDF].
1988
A. C. Hindmarsh and S. P. Norsett,
"KRYSI, An ODE Solver Combining a Semi-Implicit Runge-Kutta
Method and a Preconditioned Krylov Method," LLNL Report
UCID-21422, May 1988. Also Norges Tekniske Hogskole Mathematics
of Computation Report, August 1987, Trondheim, Norway [PDF].
1987
Hindmarsh, A. C., and P. N. Brown,
"Reduced-Storage Techniques in the Numerical Method of Lines."
Also available as Lawrence Livermore National Laboratory Technical Report UCRL-96261, February 1987 [PDF].
1986
Byrne, G.D., and A. C. Hindmarsh,
"Stiff ODE Solvers: A Review of Current and Coming Attractions,"
J. Comp. Phys. 70 (1987), pp. 1-62. Also available as
Lawrence Livermore National Laboratory Technical Report UCRL-94297,
March 1986. [PDF].
Brown, P. N., and A. C. Hindmarsh,
"Matrix-Free Methods for Stiff Systems of ODE's," SIAM
Journal on Numerical Analysis, 23 (1986), 610-638. Also
available as Lawrence Livermore National Laboratory Technical Report UCRL-90770 Rev.1, May 1985 [PDF].
1983
Alan C. Hindmarsh, "ODEPACK,
A Systematized Collection of ODE Solvers," in Scientific
Computing, R. S. Stepleman et al., eds., North-Holland,
Amsterdam, 1983, pp. 55-64. Also UCRL-88007, August 1982 [PDF].
Alan C. Hindmarsh, "Solution
of Block-Tridiagonal Systems of Linear Algebraic Equations,"
LLNL report UCID-30150, February 1977 [PDF].
A. C. Hindmarsh, "Preliminary
Documentation of GEARBI: Solution of ODE Systems with Block-Iterative
Treatment of the Jacobian," LLNL report UCID-30149, December
1976 [PDF].
|