This article presents a fairly up to date survey of the research literature relating to differential-
algebraic equations (DA Es) and their numerical solution In contrast to ordinary differential …

A significant role can be played by the systems engineering community in the optimization of
the production process for silicon solar cells. Many of the techniques utilized for cell …

OpenSMOKE++ is a general framework for numerical simulations of reacting systems with
detailed kinetic mechanisms, including thousands of chemical species and reactions. The …

In this paper we present the R package deSolve to solve initial value problems (IVP) written
as ordinary differential equations (ODE), differential algebraic equations (DAE) of index 0 or …

In recent years, the SUite of Nonlinear and DIfferential/ALgebraic equation Solvers
(SUNDIALS) has been redesigned to better enable the use of application-specific and third …

This book on iterative methods for linear and nonlinear equations can be used as a tutorial
and a reference by anyone who needs to solve nonlinear systems of equations or large …

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 …

In the last decade the use of differential-algebraic equations (DAE's) has become standard
modeling practice in many applications, such as constrained mechanics and chemical …

This small book on Newton's method is a user-oriented guide to algorithms and
implementation. Its purpose is to show, via algorithms in pseudocode, in MATLAB®, and …

A concise introduction to numerical methodsand the mathematical framework neededto
understand their performance Numerical Solution of Ordinary Differential Equations …