Publication record · 18.cifr/2005.hindmarsh.sundials-ode

SUNDIALS: Suite of Nonlinear and Differential/Algebraic Equation Solvers

v1.0.0

Alan C. Hindmarsh (Lawrence Livermore National Laboratory), Peter N. Brown (Lawrence Livermore National Laboratory), Keith E. Grant (Lawrence Livermore National Laboratory), Steven L. Lee (Lawrence Livermore National Laboratory), Radu Serban (Lawrence Livermore National Laboratory), Dan E. Shumaker (Lawrence Livermore National Laboratory), Carol S. Woodward (Lawrence Livermore National Laboratory)

RAI18.cifr/2005.hindmarsh.sundials-ode

ACM Transactions on Mathematical Software· 2005· doi:10.1145/1089014.1089020

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.

ODE solversDAE solversBDF methodssensitivity analysisNewton-Krylovstiff systems

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Large-scale stiff ODE, DAE, and nonlinear systems from chemical kinetics, CFD, and multiphysics were previously solved by fragmented Fortran 77 codes lacking parallelism and sensitivity analysis. SUNDIALS provides a portable C suite for serial and MPI-parallel environments with consistent interfaces and adjoint capability.

Novelty

SUNDIALS unifies KINSOL, CVODE, and IDA solvers under a single C-based framework with clean parallel interfaces, replacing fragmented Fortran 77 codes. The key novelty is a highly modular design decoupling nonlinear solver, linear solver, and preconditioner. First-order forward and adjoint sensitivity analysis was added to all three solvers in a unified manner not previously available in a single open-source suite.

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