PVODE and KINSOL: Parallel Software for Differential and Nonlinear Systems
نویسندگان
چکیده
In this project, parallel general-purpose software for two classes of mathematical problems has been developed. PVODE is a portable solver for ordinary di erential equation systems, based on robust mathematical algorithms, and targeted at large systems on parallel machines. It is the parallel extension of the earlier sequential solver CVODE. A related solver called KINSOL has been developed for systems of nonlinear algebraic equations. KINSOL was rst developed as a sequential solver, on a design that permitted extending it to a parallel version with fairly minimal additions. Both PVODE and KINSOL are being used within a parallel version of the tokamak edge plasma model UEDGE. KINSOL is also being applied in the ParFlow groundwater ow model to solve a nonlinear pressure equation.
منابع مشابه
Sensitivity Analysis Using Parallel Ode Solvers and Automatic Diierentiation in C: Senspvode and Adic
PVODE is a high-performance ordinary diierential equation solver for the types of initial value problems (IVPs) that arise in large-scale computational simulations. Often, one wants to compute sensitivities with respect to certain parameters in the IVP. We discuss the use of automatic diierentiation (AD) to compute these sensitivities in the context of PVODE. Results on a simple test problem in...
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