Alan C. Hindmarsh, Radu Serban, Cody J. Balos, David J. Gardner, and Carol S. Woodward, Center for Applied Scientific Computing, LLNL
Daniel R. Reynolds, Department of Mathematics, Southern Methodist University
CVODES is a package for the solution of stiff and nonstiff ordinary differential equation (ODE) systems (initial value problem) given in explicit form
dy/dt = f(t,y,p), y(t0) = y0(p)
with sensitivity analysis capabilities (both forward and adjoint modes). CVODES provides a choice of two variable-order, variable-coefficient multistep methods, Adams-Moulton methods for non-stiff problems or BDF (Backward Differentiation Formula) methods in fixed-leading-coefficient form for stiff problems.
CVODES is part of the SUNDIALS Suite of Nonlinear and Differential/Algebraic equation Solvers which consists of ARKode, CVODE, CVODES, IDA, IDAS and KINSOL. It is written in ANSI standard C and can be used in a variety of computing environments including serial, shared memory, distributed memory, and accelerator-based (e.g., GPU) systems. This flexibility is obtained from a modular design that leverages the shared vector, matrix, linear solver, and nonlinear solver APIs used across SUNDIALS packages.
See the CVODES User Guide and CVODES Examples document for more information about CVODES usage and the provided example programs respectively.
For installation instructions see the INSTALL_GUIDE or the "Installation Procedure" chapter in the CVODES User Guide.
Information on recent changes to CVODES can be found in the "Introduction" chapter of the CVODES User Guide and a complete release history is available in the "SUNDIALS Release History" appendix of the CVODES User Guide.
A. C. Hindmarsh, R. Serban, C. J. Balos, D. J. Gardner, D. R. Reynolds and C. S. Woodward, "User Documentation for CVODES v5.6.1," LLNL technical report UCRL-SM-208111, Dec 2020.
A. C. Hindmarsh and R. Serban, "Example Programs for CVODES v5.6.1," LLNL technical report UCRL-SM-208115, Dec 2020.
R. Serban and A. C. Hindmarsh, "CVODES: the Sensitivity-Enabled ODE solver in SUNDIALS," Proceedings of IDETC/CIE 2005, Sept. 2005, Long Beach, CA.
A. C. Hindmarsh, P. N. Brown, K. E. Grant, S. L. Lee, R. Serban, D. E. Shumaker, and C. S. Woodward, "SUNDIALS, Suite of Nonlinear and Differential/Algebraic Equation Solvers," ACM Trans. Math. Softw., 31(3), pp. 363-396, 2005.
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