Using the Wick theorem for Hubbard operators, we generate the linked-cluster expansion around the atomic limit of the Hubbard model and use it to calculate the free energy, ...

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

Mathematica rules that produce explicit closed-form formulas for a large class of shape functions are presented. Since the results differ from the ones recently published by ...

Entry-level tests of the accuracy of statistical software, such as Wilkinson's Statistics Quiz, have long been available, but more advanced collections of tests have not. ...

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 ...

It is shown that even a complicated 50-degree-of-freedom laminated plate element can be dealt with analytically without numerical integration. In addition to saving computer ...

This article describes a method of obtaining a numerical solution of the two-sector general equilibrium model, an economic system having two commodities and two production ...

In this paper, we propose a new method to analyze fuzzy consecutive-k-out-of-n:F system reliability using fuzzy GERT. The triangular fuzzy numbers are used to fuzzify ...

Methods for the computation of invariants and symmetries of nonlinear evolution, wave, and lattice equations are presented. The algorithms are based on dimensional analysis, ...

The strategy of using expansions in spherical harmonics of displaced Slater-type orbitals for the evaluation of multicenter molecular integrals is reviewed and projected. Our ...