Speaker: Carol S. Woodward
Affiliation: Center for Applied Scientific Computing, Lawrence Livermore National Laboratory
Abstract:
SUNDIALS is a suite of advanced computational codes for
solving large-scale problems that can be modeled as a system of
nonlinear algebraic equations, or as initial-value problems in ordinary
differential or differential-algebraic equations. The basic versions of
these codes are called KINSOL, CVODE, and IDA, respectively. The codes
are written in ANSI standard C and are suitable for either serial or
parallel machine environments. Common and notable features of these
codes include: inexact Newton-Krylov methods for solving large-scale
nonlinear systems; linear multistep methods for time-dependent problems;
a highly modular structure to allow incorporation of different
preconditioning and/or linear solver methods; and clear interfaces
allowing for users to provide their own data structures underneath the
solvers. We describe the current capabilities of the codes, along with
some of the algorithms and heuristics used to achieve efficiency and
robustness. We also describe how the codes stem from previous and
widely used Fortran solvers, and how the codes have been augmented with
forward and adjoint methods for carrying out first-order sensitivity
analysis with respect to model parameters or initial conditions. The
SUNDIALS suite is developed and maintained in collaboration with Alan
Hindmarsh, Peter Brown, Keith Grant, Steven Lee, Radu Serban, and Dan
Shumaker