SUNDIALS: Suite of Nonlinear/Differential/Algebraic Equation Solvers

Hindmarsh, A C

doi:10.1145/1089014.1089020

SUNDIALS: Suite of Nonlinear/Differential/Algebraic Equation Solvers

Conference · Thu Aug 01 04:00:00 EDT 2002

DOI:https://doi.org/10.1145/1089014.1089020· OSTI ID:15002968

Hindmarsh, A C

No abstract prepared.

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Research Organization:: Lawrence Livermore National Lab., CA (US)

Sponsoring Organization:: US Department of Energy (US)

DOE Contract Number:: W-7405-ENG-48

OSTI ID:: 15002968

Report Number(s):: UCRL-JC-149711

Country of Publication:: United States

Language:: English

References (29)

Application of Parallel Implicit Methods to Edge-Plasma Numerical Simulations Rognlien, T. D.; Xu, X. Q.; Hindmarsh, A. C. Journal of Computational Physics, Vol. 175, Issue 1 https://doi.org/10.1006/jcph.2001.6944	journal	January 2002
Reduced storage matrix methods in stiff ODE systems Brown, Peter N.; Hindmarsh, Alan C. Applied Mathematics and Computation, Vol. 31 https://doi.org/10.1016/0096-3003(89)90110-0	journal	May 1989
Avoiding BDF stability barriers in the MOL solution of advection-dominated problems Hindmarsh, Alan C. Applied Numerical Mathematics, Vol. 17, Issue 3 https://doi.org/10.1016/0168-9274(95)00036-T	journal	July 1995
Numerical methods and software for sensitivity analysis of differential-algebraic systems Maly, Timothy; Petzold, Linda R. Applied Numerical Mathematics, Vol. 20, Issue 1-2 https://doi.org/10.1016/0168-9274(95)00117-4	journal	February 1996
Applications of sensitivity analysis to uncertainty quantification in variably saturated flow Woodward, C.; Grant, K.; Maxwell, R. Computational Methods in Water Resources, Proceedings of the XIVth International Conference on Computational Methods in Water Resources (CMWR XIV), p. 73-80 https://doi.org/10.1016/S0167-5648(02)80047-8	book	January 2002
Efficient sensitivity analysis of large-scale differential-algebraic systems Feehery, William F.; Tolsma, John E.; Barton, Paul I. Applied Numerical Mathematics, Vol. 25, Issue 1 https://doi.org/10.1016/S0168-9274(97)00050-0	journal	October 1997
Newton–Krylov-multigrid solvers for large-scale, highly heterogeneous, variably saturated flow problems Jones, Jim E.; Woodward, Carol S. Advances in Water Resources, Vol. 24, Issue 7 https://doi.org/10.1016/S0309-1708(00)00075-0	journal	July 2001
Analyzing radiation diffusion using time-dependent sensitivity-based techniques Lee, Steven L.; Woodward, Carol S.; Graziani, Frank Journal of Computational Physics, Vol. 192, Issue 1 https://doi.org/10.1016/j.jcp.2003.07.031	journal	November 2003
CVODE, A Stiff/Nonstiff ODE Solver in C Cohen, Scott D.; Hindmarsh, Alan C.; Dubois, Paul F. Computers in Physics, Vol. 10, Issue 2 https://doi.org/10.1063/1.4822377	journal	January 1996
On the Estimation of Sparse Jacobian Matrices Curtis, A. R.; Powell, M. J. D.; Reid, J. K. IMA Journal of Applied Mathematics, Vol. 13, Issue 1 https://doi.org/10.1093/imamat/13.1.117	journal	February 1974
Inexact Newton Methods Dembo, Ron S.; Eisenstat, Stanley C.; Steihaug, Trond SIAM Journal on Numerical Analysis, Vol. 19, Issue 2 https://doi.org/10.1137/0719025	journal	April 1982
A Local Convergence Theory for Combined Inexact-Newton/Finite-Difference Projection Methods Brown, Peter N. SIAM Journal on Numerical Analysis, Vol. 24, Issue 2 https://doi.org/10.1137/0724031	journal	April 1987
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems Saad, Youcef; Schultz, Martin H. SIAM Journal on Scientific and Statistical Computing, Vol. 7, Issue 3 https://doi.org/10.1137/0907058	journal	July 1986
VODE: A Variable-Coefficient ODE Solver Brown, Peter N.; Byrne, George D.; Hindmarsh, Alan C. SIAM Journal on Scientific and Statistical Computing, Vol. 10, Issue 5 https://doi.org/10.1137/0910062	journal	September 1989
Hybrid Krylov Methods for Nonlinear Systems of Equations Brown, Peter N.; Saad, Youcef SIAM Journal on Scientific and Statistical Computing, Vol. 11, Issue 3 https://doi.org/10.1137/0911026	journal	May 1990
Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems Brown, Peter N.; Hindmarsh, Alan C.; Petzold, Linda R. SIAM Journal on Scientific Computing, Vol. 15, Issue 6 https://doi.org/10.1137/0915088	journal	November 1994
Choosing the Forcing Terms in an Inexact Newton Method Eisenstat, Stanley C.; Walker, Homer F. SIAM Journal on Scientific Computing, Vol. 17, Issue 1 https://doi.org/10.1137/0917003	journal	January 1996
Iterative Methods for Linear and Nonlinear Equations Kelley, C. T. Frontiers in Applied Mathematics https://doi.org/10.1137/1.9781611970944	book	January 1995
Numerical Methods for Unconstrained Optimization and Nonlinear Equations Dennis, J. E.; Schnabel, Robert B. Classics in Applied Mathematics https://doi.org/10.1137/1.9781611971200	book	January 1996
Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations Brenan, K. E.; Campbell, S. L.; Petzold, L. R. Classics in Applied Mathematics https://doi.org/10.1137/1.9781611971224	book	January 1995
Preconditioning Strategies for Fully Implicit Radiation Diffusion with Material-Energy Transfer Brown, Peter N.; Woodward, Carol S. SIAM Journal on Scientific Computing, Vol. 23, Issue 2 https://doi.org/10.1137/S106482750037295X	journal	January 2001
Adjoint Sensitivity Analysis for Differential-Algebraic Equations: The Adjoint DAE System and Its Numerical Solution Cao, Yang; Li, Shengtai; Petzold, Linda SIAM Journal on Scientific Computing, Vol. 24, Issue 3 https://doi.org/10.1137/S1064827501380630	journal	January 2003
Consistent Initial Condition Calculation for Differential-Algebraic Systems Brown, Peter N.; Hindmarsh, Alan C.; Petzold, Linda R. SIAM Journal on Scientific Computing, Vol. 19, Issue 5 https://doi.org/10.1137/S1064827595289996	journal	September 1998
A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations Byrne, G. D.; Hindmarsh, A. C. ACM Transactions on Mathematical Software, Vol. 1, Issue 1 https://doi.org/10.1145/355626.355636	journal	March 1975
An Alternative Implementation of Variable Step-Size Multistep Formulas for Stiff ODEs Jackson, K. R.; Sacks-Davis, R. ACM Transactions on Mathematical Software, Vol. 6, Issue 3 https://doi.org/10.1145/355900.355903	journal	September 1980
PVODE, an ODE Solver for Parallel Computers Byrne, George D.; Hindmarsh, Alan C. The International Journal of High Performance Computing Applications, Vol. 13, Issue 4 https://doi.org/10.1177/109434209901300405	journal	November 1999
Description and use of LSODE, the Livemore Solver for Ordinary Differential Equations Radhakrishnan, K.; Hindmarsh, A. C. https://doi.org/10.2172/15013302	report	December 1993
User documentation for PVODE, an ODE solver for parallel computers Hindmarsh, A. C. https://doi.org/10.2172/310920 UCRL-ID--130884	report	May 1998
The PVODE and IDA Algorithms Hindmarsh, A. C. https://doi.org/10.2172/802599 UCRL-ID-141558	report	December 2000

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ALGEBRA
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SUNDIALS: Suite of Nonlinear/Differential/Algebraic Equation Solvers

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