In this paper we discuss the application of conditional symmetries for obtaining exact and approximate solutions of the equation utt=(uux)x.. We propose to use the invariance ...

Amplitude and phase lag of temperature oscillations in a slab subjected to a harmonic heat flux are presented, by solving the hyperbolic heat conduction equation. Examples ...

The package BPCG.m provides a set of very basic operations needed to solve more complex problems of computational geometry in the plane. The supplied functions deal with ...

The simple pendulum problem in mechanics can be solved using the Sn Jacobi Elliptic function. In this notebook we make some nice plots of the phase space of the system using ...

Mathematica, has a number of functions for linear and nonlinear optimization, all comes with the standard version. These include unconstrained, constrained optimization and ...

LU Decomposition is applied to a sparse banded matrix (A). We show how fill-ins can make solution by elimination not manageable by computing non-zero elements of U and L such ...

Two criteria for planarity of a Feynman diagram upon its propagators (momentum flows) are presented. Instructive Mathematica programs that solve the problem and examples are ...

This hands-on workshop will give an introduction to many of the symbolic computation capabilities built into Mathematica, including algebraic and differential equation ...

We present an algorithm for ordering trades between players with initial endowments, the Descending Value Serial Dictatorship, solving the Housing Market Problem with ...

Mathematica is unique in its integrated symbolic and numerical solving capacities. Prof. Phil Gregory states "..., the time required to develop and test programs with ...