Introductory textbook for a two-semester course on PDEs that integrates the use of Mathematica throughout its presentation of basic concepts and methods. Provides numerous ...

In this article I introduce some commands and methods to solve some problems in calculus, like finding function domain and some analysis of functions algebraically, using ...

Computing the values of the capacitances for an equivalent circuit model of a PCB is a very CPU-intensive task. The time taken for this is dominated by the time taken to ...

Abstract Intervals have been considered by mathematicians for a while, in the study of numerical functions and numerical analysis, But only in the 1960s Moore had the Idea ...

The first-exit problem of strongly nonlinear oscillators with multi-degrees-of-freedom (MDOF) is studied theoretically in this paper. The excitations are modelled as ...

The "Regular Polytopes" notebook constructs all sixteen regular polytopes in four-dimensional space, as well as eleven semi-regular 4-polytopes. It also provides ...

A root-solving approach has been designed to solve the two- point nonlinear boundary value problems by the use of all embedded functions in Mathematica. Without attributing ...

Models of the long-distance behavior of QCD can be used to make predictions for the twist-two piece of the current correlation function appearing in deep-inelastic ...

Eight new algorithms for reaction path following are presented, ranging from third order to sixth order. Like the second-order algorithm [J. Chem. Phys. 90, 21254 (1989)] ...

Laplace's equation can be solved numerically and very conveniently with Mathematica by the use of symbolic interpolation. Here we solve Laplace's equation in two dimensions ...