The classical Gauss-Laguerre quadrature rule for the semi-infinite integration interval (10, variation) is modified and applied to the case of the weight function exp(-x)/x ...

This paper applies the finite element least-square extrapolation and smoothing technique to demonstrate its advantages in the evaluation of interfacial stress distributions ...

Designed for students in a self-paced or laboratory setting. Presents problems and explorations in calculus that can be completed with Mathematica in such areas as polynomial ...

SystemModeler 4 vastly expands support for modeling libraries, adds standardized deployment of models to other simulation tools, and deepens integration with Mathematica. ...

The parallel version of the multidimensional numerical integration package Cuba is presented and achievable speed-ups discussed. The parallelization is based on the fork/wait ...

This Mathematica code defines a function FortranDef that takes a Mathematica expression, writes a corresponding, optimized Fortran program, compiles it, and defines a ...

Examples of simple zone fire models are analyzed. These models illustrate the nature of the numerical problems commonly encountered in zone models of enclosure fires. Often ...

Previously, we developed a classical solid angle function that is valid only when the light is traveling within a homogeneous medium. As soon as the light path contains a ...

MathOptimizer is a Mathematica application package that provides tools for solving a very general class of global and local optimization problems. It is particularly suited ...

We use the cylindrical algebraic decomposition algorithms implemented in Mathematica to produce procedures to analytically compute integrals over polynomially defined regions ...