The Mathematica computer algebra system (CAS) is an attractive medium for teaching mathematics. New features in Mathematica 3.0 include editable typeset mathematical ...

We consider the statistical mechanics of a fluctuating string (1D solid-on-solid model) of N columns with a contact energy term displaying a critical wetting transition. For ...

In the construction of numerical methods for solving stochastic differential equations it becomes necessary to calculate the expectation of products of multiple stochastic ...

Chebshev polynomials of the first kind are applied to telescope both the far-field multipole expansions and the near-field Taylor series expansions used in solving large ...

Single and multi-domain spectral collocation methods utilizing Chebyshev polynomials were employed to obtain highly accurate solutions to one-dimensional phase-change ...

The need for combining and making various constraint solvers cooperate is widely recognized. Such an integrated system would allow solving problems that cannot be solved by a ...

In this paper, center conditions and bifurcation of limit cycles at the nilpotent critical point in a class of quintic polynomial differential system are investigated. With ...

A family of nonstandard Gauss-Jacobi-Lobatto quadratures for numerical calculating integrals of the form  1− 1 f(x)(1−x)α dx, α > −1, is derived ...

Mathematica, an interactive software system that does computer algebra and other mathematical computations, is a valuable tool for solving large problems involving symbol ...

Conventional numerical differentiation formulas based on interpolating polynomials, operators and lozenge diagrams can be simplified to one of the finite difference ...