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SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers
TLDR
The current capabilities of the codes, along with some of the algorithms and heuristics used to achieve efficiency and robustness, are described.
VODE: a variable-coefficient ODE solver
TLDR
VODE is a new initial value ODE solver for stiff and nonstiff systems that uses variable-coefficient Adams-Moulton and Backward Differentiation Formula methods in Nordsieck form, treating the Jacobian as full or banded.
CVODE, a stiff/nonstiff ODE solver in C
CVODE is a package written in C for solving initial value problems for ordinary di erential equations. It provides the capabilities of two older Fortran packages, VODE and VODPK. CVODE solves both
Description and use of LSODE, the Livermore Solver for Ordinary Differential Equations
LSODE, the Livermore Solver for Ordinary Differential Equations, is a package of FORTRAN subroutines designed for the numerical solution of the initial value problem for a system of ordinary
Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems
In this paper, a new algorithm for the solution of large-scale systems of differential-algebraic equations is described. It is based on the integration methods in the solver DASSL, but instead of a
LSODE and LSODI, two new initial value ordinary differential equation solvers
Two new packages are available for the numerical solution of the initial value problem for stiff and nonstiff systems of ordinary differential equations (ODE's). LSODE solves explicitly given ODE
A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations
TLDR
Two variable-order, varlable-step size methods for the numerical solution of the initial value problem for ordinary differential equations are presented and some numerical results are given.
Reduced storage matrix methods in stiff ODE systems
TLDR
In the context of general nonlinear algebraic systems, this work provides some theoretical foundation for the combined Newton-Krylov method by giving convergence results that include errors due to the difference quotient approximation to the linear operator.
User Documentation for CVODES: An ODE Solver with Sensitivity Analysis Capabilities
TLDR
1,2-FUSED FIVE-MEMBERED or SIX-Membered 1,3-DINITROGEN-HETEROCYCLIC COMPOUNDS, USFUL as anti-corrosion agents, are prepared by splitting a five- or six-member group by splitting the side chains.
CVODES: The Sensitivity-Enabled ODE Solver in SUNDIALS
TLDR
The current capabilities of CVODES, its design principles, and its user interface are described, and an example problem is provided to illustrate the performance ofCVODES.
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