We present a discussion and description of a collection of FORTRAN routines designed to aid in the assessment of initial value methods for ordinary differential equations. Although the overall designâ€¦ (More)

Validated methods for initial value problems for ordinary diierential equations produce bounds that are guaranteed to contain the true solution of a problem. When computing such bounds, these methodsâ€¦ (More)

This paper is one of a series underpinning the authorsâ€™ DAETS code for solving DAE initial value problems by Taylor series expansion. First, building on the second authorâ€™s structural analysis ofâ€¦ (More)

The authors have developed a Taylor series method for solving numerically an initial-value problem differential algebraic equation (DAE) that can be of high index, high order, nonlinear, and fullyâ€¦ (More)

This article presents the first extended set of results from EliAD, a source-transformation implementation of the vertex-elimination Automatic Differentiation approach to calculating the Jacobians ofâ€¦ (More)

daesa, <u>D</u>ifferential-<u>A</u>lgebraic <u>E</u>quations <u>S</u>tructural <u>A</u>nalyzer, is a Matlab tool for structural analysis of differential-algebraic equations (DAEs). It allowsâ€¦ (More)

The author and colleagues have produced a collection of 60 test problems which offer a realistic performance test of the currently available automatic codes for eigenvalues of the classicalâ€¦ (More)

DAESA, Differential-Algebraic Equations Structural Analyzer, is a Matlab tool for structural analysis of differential-algebraic equations (DAEs). It allows convenient translation of a DAE system intoâ€¦ (More)