We detail the automatic construction of R matrices corresponding to (the tensor products of) the (0|alpha) families of highest-weight representations of the quantum ...

In this paper, we seek the periodic solutions of the Hénon-Heiles nonintegrable Hamiltonian system. We apply the Lindstedt-Poincare method, in order, first to enumerate the ...

The relationship between college students' preferred mode of processing mathematical information - visual or nonvisual - and their performance in calculus classes with and ...

This paper presents a systematic computation algorithm for the analysis of one-dimensional, constrained distributed parameter systems. The methodology is based on the ...

First principle modeling of chemical processes very often leads to a mixed system of partial differential equations (PDEs) and differential algebraic equations (DAEs) which ...

We present the design and implementation of ObjectMath, a language and environment for high-level equation-based modeling and analysis in scientific computing. The ObjectMath ...

These notebooks were developed to produce materials that would provide strong visual reinforcement of important concepts to students undertaking a first course in 3 ...

This paper presents a hybrid system for automatic generation of numerical codes using a symbolic approach, with emphasis on finite element formulations where straightforward ...

A recursion procedure for the analytical generation of hyperspherical harmonics for tetraatomic systems, in terms of row-orthonormal hyperspherical coordinates, is presented. ...

We consider a parallel algorithm for stability investigation of the schemes of the finite difference method or the finite volume method approximating the two-dimensional ...