An approach to inverse finite-element-analysis has been demonstrated using the symbolic computation language Mathematica. The forward calculation of two-dimensional finite ...

The eigenfunction expansion methods is used to obtain numerical Green's functions to solve for deflection of irregular-shaped classical plates. The associated eigenvalus ...

HIP, a set of computer packages for symbolic calculation of Feynman diagrams, is presented. The packages were designed as an aid in calculating tree-level multiparticle ...

Mathematical and numerical analysis are applied to a nonlinear operator equation arising in monetary economics. For the nonlinear operator equation, the contraction property ...

We consider periodically forced, weakly nonlinear systems and perform higher-order averaging analyses. Especially, we describe an algorithm for computing the higher-order ...

We show the combinatorics behind the Wilcoxon-Mann-Whitney two-sample test. This yields new combinatorial proofs of recurrences for its null distribution given recently by ...

We recall a known result (cf. [1]) expressing certain 4F3 hypergeometric functions as products of 2F1 hypergeometric functions. We consider the polynomial case and show how ...

In this paper we address the problem of calculating the free-state wave functions with predefined asymptotic behavior. It is shown that, in a number of cases, usable results ...

A Mathematica application for the production of QuickTime movies and GIF animations (angle to time conversion) to represent collisionally excited target states is presented. ...

In this paper, we propose an efficient recursive computation of the nonlinear computed torque law of flexible manipulators. The algorithm is based on the generalized ...