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

Conference ·

No abstract prepared.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
US Department of Energy (US)
DOE Contract Number:
W-7405-ENG-48
OSTI ID:
15002968
Report Number(s):
UCRL-JC-149711; TRN: US200420%%140
Resource Relation:
Journal Volume: 31; Journal Issue: 3; Conference: ACTS Toolkit Workshop, Berkeley, CA (US), 09/04/2002--09/07/2002; Other Information: PBD: 1 Aug 2002
Country of Publication:
United States
Language:
English

References (26)

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Avoiding BDF stability barriers in the MOL solution of advection-dominated problems journal July 1995
Hybrid Krylov Methods for Nonlinear Systems of Equations journal May 1990
CVODE, A Stiff/Nonstiff ODE Solver in C journal January 1996
A Local Convergence Theory for Combined Inexact-Newton/Finite-Difference Projection Methods journal April 1987
A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations journal March 1975
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
An Alternative Implementation of Variable Step-Size Multistep Formulas for Stiff ODEs journal September 1980
Inexact Newton Methods journal April 1982
Efficient sensitivity analysis of large-scale differential-algebraic systems journal October 1997
On the Estimation of Sparse Jacobian Matrices journal February 1974
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems journal July 1986
Analyzing radiation diffusion using time-dependent sensitivity-based techniques journal November 2003
Application of Parallel Implicit Methods to Edge-Plasma Numerical Simulations journal January 2002
Preconditioning Strategies for Fully Implicit Radiation Diffusion with Material-Energy Transfer journal January 2001
PVODE, an ODE Solver for Parallel Computers journal November 1999
The PVODE and IDA Algorithms report December 2000
Newton–Krylov-multigrid solvers for large-scale, highly heterogeneous, variably saturated flow problems journal July 2001
User documentation for PVODE, an ODE solver for parallel computers report May 1998
Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems journal November 1994
Choosing the Forcing Terms in an Inexact Newton Method journal January 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
Numerical methods and software for sensitivity analysis of differential-algebraic systems journal February 1996
Reduced storage matrix methods in stiff ODE systems journal May 1989
Consistent Initial Condition Calculation for Differential-Algebraic Systems journal September 1998

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99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
S CODES
NONLINEAR PROBLEMS
DIFFERENTIAL EQUATIONS
ALGEBRA
MATHEMATICAL SOLUTIONS