barrel vaults are attractive space structures that cover large area without intermediate supports. in this paper, the charged search system (css) optimization algorithm is employed for optimal design of barrel vaults. this method utilizes the governing laws of coulomb and gauss from electrostatics and the newtonian law of mechanics. the results demonstrate the efficiency of the discrete css alg...

This paper looks at axioms for convexity, and shows how they can be applied to discrete spaces. Two structures for a discrete geometry are considered: oriented matroids, and cell complexes. Oriented matroids are shown to have a structure which naturally satisfies the axioms for being a convex geometry. Cell complexes are shown to give rise to various different notions of convexity, one of which...

Let C(X) be the ring of real continuous functions on a completely regular Hausdorff space. In this paper an almost discrete space is determined by the algebraic structure of C(X). The intersection of essential weak ideal in C(X) is also studied.

The Discrete Space Quantum Systems Solver (DSQSS) is a program package for solving quantum many-body problems defined on lattices. DSQSS based the Monte Carlo method in Feynman's path integral representation and covers broad range of using flexible input files that define arbitrary unit cells dimensions matrix elements representing interactions among an number degrees freedom. Finite temperatur...

The aim of this paper is to study the high order difference scheme for the solution of a fractional partial differential equation (PDE) in the electroanalytical chemistry. The space fractional derivative is described in the Riemann-Liouville sense. In the proposed scheme we discretize the space derivative with a fourth-order compact scheme and use the Grunwald- Letnikov discretization of the Ri...