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 SensitivityEnabled ODE Solver in SUNDIALS, Proceedings of IDETC/CIE 2005, ASME, Sept. 2428, 2005, Long Beach, Ca, USA.
Also available as Lawrence Livermore National Laboratory Technical Report UCRLPROC210300, 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. 363396.
Also available as Lawrence Livermore National Laboratory Technical
Report UCRLJP200037 [PDF].
Peter N. Brown, Dana E. Shumaker, and Carol S. Woodward, "Fully Implicit Solution of LargeScale NonEquilibrium Radiation Diffusion with High Order Time Integration," to appear in Journal on Computational Physics. Also available as Lawrence Livermore National Laboratory Technical Report UCRLJRNL203809 [PDF].
2004
Milller, D.S. and C.S. Woodward, "Exploring Nonlinear Couplings in Radiation Diffusion Problems," Proceedings of the NECDC 2004. UCRLCONF155727.
Walker, Homer, and Carol S. Woodward, "Application Scientists Join Algorithm Designers at Workshop on LargeScale Nonlinear Problems," SIAM News, March 2004, 37 (2).
2003
Steven L.
Lee, Carol S. Woodward, and Frank Graziani, "Analyzing
Radiation Diffusion using TimeDependent SensitivityBased
Techniques,"Journal of Computational
Physics, 192, (1), (2003), pp. 211230,. Also available as Lawrence Livermore National
Laboratory Technical Report UCRLJC152392 [PDF].
Peter N. Brown, Panayot Vassilevski, and Carol S. Woodward, "On MeshIndependent Convergence of an Inexact NewtonMultigrid Algorithm," SIAM Journal on Scientific Computing, 25, (2) 2003, pp. 570590. Also available as Lawrence Livermore National Laboratory Technical Report UCRLJC148376 [PDF].
Jones, J.E., P.S. Vassilevski, and C.S. Woodward, "Nonlinear SchwarzFAS Methods for Unstructured Finite Element Problems," proceedings of Second M.I.T. Conference on Computational Fluid and Solid Mechanics, Cambridge, MA, June 1720, 2003. Also Available as LLNL Technical Report UCRLJC150427.
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
UCRLJC150513 [PDF].
Jim E. Jones,
Panayot S. Vassilevski, and Carol S. Woodward, "Nonlinear
SchwarzFAS Methods for Unstructured Finite Element Problems," submitted to Second M.I.T. Conference on Computational
Fluid and Solid Mechanics, Cambridge, MA, June 1720,
2003. Also available as Lawrence Livermore National Laboratory
Technical Report UCRLJC150427. [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 UCRLJC150513.
Hindmarsh, Alan C. and Serban, Radu, "User Documentation
for CVODES, An ODE Solver with Sensitivity Analysis Capabilities,"
Lawrence Livermore National Laboratory Technical Report UCRLMA148813,
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. 7380. Available
as LLNL Technical Report UCRLJC146976. [PDF].
2001
Brown, Peter
N., Keith E. Grant, and Carol S. Woodward, "On the Calculation
of Uncertainties for 3D TimeDependent Neutral Particle Transport,"
submitted to Journal of Computational Physics, 2001.
Also available as Lawrence Livermore National Laboratory Technical Report UCRLJC146186, November 2001 [PDF].
Alan C. Hindmarsh, "The PVODE Trio: PVODE, KINSOL, and
IDA," UCRLJC145579, October 2001; presented at the ACTS
Toolkit Workshop, Berkeley, October 2001 [PDF].
Jones, Jim E., and Carol S. Woodward, "NewtonKrylovMultigrid
Solvers for LargeScale, Highly Heterogeneous, Variably Saturated
Flow Problems,"
Advances in Water Resources , 24, July 2001,
763774. Also available as LLNL Technical Report UCRLJC138618
[PDF].
Brown, Peter N., and Carol S. Woodward, "Preconditioning
Strategies for Fully Implicit Radiation Diffusion With MaterialEnergy
Transfer," SIAM Journal on Scientific Computing,
23 May 2001, 499516. Also available as LLNL Technical Report UCRLJC139087 [PDF].
Hovland, Paul, Steven Lee, Lois McInnes, Boyana Norris, and
Barry Smith, "Challenges and Opportunities in Using Automatic
Differentiation with ObjectOriented Toolkits for Scientific
Computing," Lawrence Livermore National Laboratory Technical Report UCRLJC143410, April 2001.
Walker, Homer and Carol S. Woodward, "Solution Methods
for LargeScale Nonlinear Problems: An Evolving Research Area,"
in SIAM News, April 2001, page 16. Also available as
LLNL Technical Report UCRLMI141913.
Brown,
Peter N., Frank Graziani, Ivan Otero, and Carol S. Woodward,
"Implicit Solution of LargeScale Radiation Diffusion Problems,"
Nuclear Explosives Code Developers' Collaborations, Oakland,
CA, October 2327, 2001. Also available as Lawrence Livermore
National Laboratory Technical Report UCRLJC141881, January
2001 [PDF].
Brown, P.N., K. E. Grant, and C. S. Woodward, "On the Calculation of Uncertainties for 3D TimeDependent Neutral Particle Transport," (2001). Available as LLNL Technical Report UCRLJC146186.
2000
Hindmarsh,
Alan C., "The PVODE and IDA Algorithms," Lawrence Livermore
National Laboratory Technical Report UCRLID141558, December
2000 [PDF].
Alan C. Hindmarsh and Mark D. Rotter, "Using an ODE Solver
for a Class of IntegroDifferential Systems," J. Comput.
Phys. 168 (2001), pp. 267285. Also available as Lawrence
Livermore National Laboratory Technical Report UCRLJC138647,
April 2000 [PDF].
Jones, Jim E., and Carol S. Woodward, "Preconditioning NewtonKrylov
Methods for Variably Saturated Flow," Proc. VIII Int. Conf.
Comput. Meth. Water Resources, Calgary, Alberta, Canada, June
2529, 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. 101106. Also available
as Lawrence Livermore National Laboratory Technical Report UCRLJC137011,
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 UCRLMA140211, 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 1923,
2000. SpringerVerlag, 2001, Ch. 26. p. 217. Also available
as Lawrence Livermore National Laboratory Technical Report UCRLJC137728,
September 2000.
Rognlien, T. D., X. Q. Xu, and A. C. Hindmarsh, "Application
of Parallel Implicit Methods to EdgePlasma Numerical Simulations,"
J. Comput. Phys., to appear. Also available as Lawrence
Livermore National Laboratory Technical Report UCRLJC138518,
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. 701724. Also available
as Lawrence Livermore National Laboratory Technical Report UCRLJC125567.
1999
Brown, Peter
N., Britton Chang, Frank Graziani, and Carol S. Woodward, "Implicit
Solution of LargeScale RadiationMaterial 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. 342356. Also
available as Lawrence Livermore National Laboratory Technical Report UCRLJC132831, 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. 354365. Also available as Lawrence Livermore
National Laboratory Technical Report UCRLJC132361 Rev. 1,
May 1999 [PDF].
Hindmarsh, Alan C., and A. G. Taylor, "User Documentation
for IDA, a DifferentialAlgebraic Equation Solver for Sequential
and Parallel Computers," Lawrence Livermore National Laboratory
technical manual UCRLMA136910, December 1999 [PDF].
1998
Brown, P. N., A. C. Hindmarsh,
and L. R. Petzold, "Consistent Initial Condition Calculation
for DifferentialAlgebraic Systems," SIAM J. Sci. Comput.,
19, (1998), pp. 14951512. Also available as Lawrence Livermore
National Laboratory Technical Report UCRLJC122175 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 UCRLID130884, May 1998
[PDF].
Dawson, C. N., M. F. Wheeler, and C. S. Woodward, "A TwoGrid
Finite Difference Scheme for Nonlinear Parabolic Equations"
SIAM J. Numer. Anal., 35, (2), (1998), pp. 435452. Also
available as Lawrence Livermore National Laboratory Technical Report UCRLJC125599, 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 UCRLID129739,
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 UCRLID131185,
July 1998 [PDF].
Woodward, C. S., "A NewtonKrylovMultigrid Solver for Variably
Saturated Flow Problems," Proc. XII Int. Conf. Comput. Meth.
Water Resources, Crete, Greece, June 1519, 1998. Computational
Mechanics Publications, Southampton, UK, Vol. 2, pp. 606616.
Also available as Lawrence Livermore National Laboratory Technical Report UCRLJC129371, June 1998.
1997
Dawson, C. N., H. Klie, M. F.
Wheeler, and C. S. Woodward, "A Parallel, Implicit, CellCentered
Method for TwoPhase Flow With a Preconditioned NewtonKrylov
Solver," J. Comput. Geosci., 1, (1997), pp. 215249.
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. 138143. Also
available as Lawrence Livermore National Laboratory Technical Report UCRLJC121014 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. 271285.
Wittman, Michael R., "Testing of PVODE, a Parallel ODE Solver,"
Lawrence Livermore National Laboratory Technical Report UCRLID125562,
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.
791796.
Hindmarsh, A. C., "Avoiding BDF Stability Barriers in the
MOL Solution of AdvectionDominated Problems," Appl.
Numer. Math., 17, (1995), pp. 311318. Also available as
Lawrence Livermore National Laboratory Technical Report UCRLJC116618
Rev. 1, April 1994 [PDF].
Hindmarsh, A. C., and L. R. Petzold, "Algorithms and Software
for Ordinary Differential Equations and DifferentialAlgebraic
Equations," Computers in Physics, 9, (1995), pp.
3441 and 148155. Also available as Lawrence Livermore National
Lab Technical Report UCRLJC116619, April 1994 [PDF].
1994
Brown, P. N., A. C. Hindmarsh,
and L. R. Petzold, "Using Krylov Methods in the Solution
of LargeScale DifferentialAlgebraic Systems," SIAM
J. Sci. Comput., 15, (1994), pp. 14671488. Also available
as Lawrence Livermore National Laboratory Technical Report UCRLJC113507,
March 1993 [PDF].
Cohen, S. D., and A. C. Hindmarsh, "CVODE User Guide,"
Lawrence Livermore National Laboratory Technical Report UCRLMA118618,
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 UCRLID113855, 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. 231342. NASA Conference Publications, CP3224.
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. 8796. Also UCRL101197,
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. 4091. Also UCRL95088
Rev.1, June 1987 [PDF].
1988
A. C. Hindmarsh and S. P. Norsett,
"KRYSI, An ODE Solver Combining a SemiImplicit RungeKutta
Method and a Preconditioned Krylov Method," LLNL Report
UCID21422, May 1988. Also Norges Tekniske Hogskole Mathematics
of Computation Report, August 1987, Trondheim, Norway [PDF].
1987
Hindmarsh, A. C., and P. N. Brown,
"ReducedStorage Techniques in the Numerical Method of Lines."
Also available as Lawrence Livermore National Laboratory Technical Report UCRL96261, 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. 162. Also available as
Lawrence Livermore National Laboratory Technical Report UCRL94297,
March 1986. [PDF].
Brown, P. N., and A. C. Hindmarsh,
"MatrixFree Methods for Stiff Systems of ODE's," SIAM
Journal on Numerical Analysis, 23 (1986), 610638. Also
available as Lawrence Livermore National Laboratory Technical Report UCRL90770 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., NorthHolland,
Amsterdam, 1983, pp. 5564. Also UCRL88007, August 1982 [PDF].
Alan C. Hindmarsh, "Solution
of BlockTridiagonal Systems of Linear Algebraic Equations,"
LLNL report UCID30150, February 1977 [PDF].
A. C. Hindmarsh, "Preliminary
Documentation of GEARBI: Solution of ODE Systems with BlockIterative
Treatment of the Jacobian," LLNL report UCID30149, December
1976 [PDF].
