Open Access
Description of DASSL: a differential/algebraic system solver
Reads0
Chats0
TLDR
The algorithms and strategies used in DASSL, for the numerical solution of implicit systems of differential/algebraic equations, are outlined, and some of the features of the code are explained.Abstract:
This paper describes a new code DASSL, for the numerical solution of implicit systems of differential/algebraic equations. These equations are written in the form F(t,y,y') = 0, and they can include systems which are substantially more complex than standard form ODE systems y' = f(t,y). Differential/algebraic equations occur in several diverse applications in the physical world. We outline the algorithms and strategies used in DASSL, and explain some of the features of the code. In addition, we outline briefly what needs to be done to solve a problem using DASSL.read more
Citations
More filters
Book
Iterative Methods for Linear and Nonlinear Equations
TL;DR: Preface How to Get the Software How to get the Software Part I.
Book
Iterative Methods for Optimization
TL;DR: Iterative Methods for Optimization does more than cover traditional gradient-based optimization: it is the first book to treat sampling methods, including the Hooke& Jeeves, implicit filtering, MDS, and Nelder& Mead schemes in a unified way.
Posted Content
Enabling New Flexibility in the SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers.
TL;DR: The SUNDIALS suite of nonlinear and DIfferential/ALgebraic equation solvers (SUNDIALs) as mentioned in this paper has been redesigned to better enable the use of application-specific and third-party algebraic solvers and data structures.
Journal ArticleDOI
VODE: a variable-coefficient ODE solver
TL;DR: 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.