In this article, DAEparser and SQPsolver, new Computer Algebra System packages specialized in Differential-Algebraic Equations for Mathematica are presented. These packages ...

The classical Cauchy-type complex singular integral equation for the general curvilinear crack problem in plane isotropic elasticity is rederived by using an appropriate ...

Paper and accompanying talk presented at SCI 2000 (July 2000, Orlando, Florida) Abstract: Systems of algebraic equations with finitely many solutions arise in many areas of ...

This paper presents a theory of noncommutative functions which results in an algorithm for determining where they are "matrix convex". Of independent interest is a theory of ...

Ricci is a Mathematica package for doing symbolic tensor computations that arise in differential geometry. Some of its capabilities include: manipulation of tensor ...

Computer algebra systems (CAs), such as ABACUS, MACSYMA, REDUCE, SMP, Maple, and Mathematica are designed to perfrom calculus manipulations. For several years, eductors have ...

The focus of this work is a simplified integration of algorithms expressed in Geometric Algebra (GA) into modern high level computer languages, namely C++, OpenCL and CUDA. A ...

This paper describes the first MATHEMATICA implementation of gamma-algebra in arbitrary space-time dimensions according to the 't Hooft-Veltman scheme. It is the only system ...

The non-linear minimal surface equation is expressed as an ideal of differential forms. The isovector fields of the ideal are constructed using its transport property under ...

This paper is devoted to the application of the computer algebra system Mathematica for the inves tigation of a nonlinear system of algebraic equations with parameters that ...