The extended Gaussian quadrature rules are shown to be an efficient tool for numerical integration of wide class of functions with singularities of logarithmic type. The ...

Here we continue to list the differential operators invariant with respect to the 15 exceptional simple Lie superalgebras $\fg$ of polynomial vector fields. A part of the ...

Determining ionic concentrations in buffered solutions usually reduces to solving a set of simultaneous polynomial equations. Mathematica software offers a convenient method ...

An explicit analytic solution for a transient groundwater flow to an auger hole of hemispherical shape is found on the base of ideas and under the same assumptions as in the ...

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

On constructing CPM propagators with an abundant number of terms by Mathematica, we have shown that the CPM[N,Q], where N is the number of polynomial terms by which the ...

In this article, we deal with the problems of characterizing isochronous centers for real planar quasi-cubic homogeneous analytic system. The technique is based on reducing ...

In mathematical physics and introductory quantum mechanics classes I have found that students are puzzled by the formidable-looking partial-wave expansion of plane waves in ...

In analyzing differential equations, computer algebra or symbolic computation is useful when we want to know the relation between the solutions and the parameters at the ...

We present a very fast implementation of the Butler–Portugal algorithm for index canonicalization with respect to permutation symmetries. It is called xPerm, and has been ...