The paper presents a mathematical explanation of the phenomenon observed for the Refined Least Squares method. It was found by numerical experiment with Mathematica that for ...

Many computational problems in physics are solved using compiled Fortran and C codes. An attractive alternative, suitable for a wide range of problems, is to use the ...

An automatic code is proposed for the perturbation analysis of strongly non-linear two-degree-of-freedom systems with cubic non-linearities. The recently proposed [1] ...

Group theoretical investigations have a huge potential to simplify calculations in solid state theory. We will discuss the application of group theory to photonic band ...

We present IntU package for Mathematica computer algebra system. The presented package performs a symbolic integration of polynomial functions over the unitary group with ...

Dynamic simulation of a distillation column with 32 stages is performed. We consider that the activity coefficients of the cyclohexane – heptane binary mixture are given ...

A method is presented for reducing general two-loop self-energies to standard scalar integrals in massive gauge theories with special emphasis on the electroweak Standard ...

Many calculus students regard the epsilon delta definition of limits as very intimidating. But this notebook turns learning the topic into a game. The dual goals are to ...

In this paper, we consider linear two-point boundary value problems with constant coefficients.Weintroduce a relatively new algorithm as well as a symbolic implementation of ...

The long standing problem of the relations among the scalar invariants of the Riemann tensor is computationally solved for all 6 · 1023 objects with up to 12 derivatives of ...