A set of programs is presented for automatically generating and calculating Feynman diagrams. Diagrams are generated with FeynArts, then algebraically simplified using a ...

The paper presents a hybrid system for automatic generation of numerical procedures for various finite element environments from the same symbolic description. The system ...

This flexible, readable textbook assumes only a background in high school algebra and enables instructors to follow tailored pathways through the material. It is the first ...

This paper studies center conditions and bifurcation of limit cycles from the equator for a class of polynomial differential system of order seven. By converting real planar ...

In this paper, center conditions and bifurcation of limit cycles from the equator for a class of polynomial system of degree seven are studied. The method is based on ...

Earlier works obtained the semi-analytical solution of the generalized Wiener-Hopf equations that formulate the diffraction of a plane wave by a dielectric wedge at normal ...

Hypergeometric functions (HFs) are usually defined as the solutions of some differential equations and have both, series and integral representations. Recently, one of the ...

Hands-on introduction to Mathematica. Animations, three-dimensional graphics, high-precision number theory computations, and a variety of methods demonstrate the power and ...

We study the integrability properties of the one-parameter family of N = 2 super Boussinesq equations obtained earlier by two of us (E.I. & S.K., Phys. Lett. B 291 (1992) 63) ...

The 1D nonrelativistic Schrodinger equation possessing an irregular singular point is investigated. We apply a general theorem about existence and structure of solutions of ...