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Garito and co-workers have suggested a mechanism to dramatically increase the second hyperpolarizability, gamma, in linear pi-electron-conjugated molecules. Polarization is introduced that leads to a ...
We extend a one-dimensional central-scheme first introduced by Liu and Tadmor, to the rather general framework of two-dimensional systems of conservation laws. This scheme is based on a two-dimensiona...
The characterization of the nutrients nitrogen, phosphorus and carbon (NPC) export to streams during storms is an integral part of understanding processes affecting water quality. Despite the fact tha...
The paper proposes and implements a third-order accurate direct Eulerian gen-eralized Riemann problem (GRP) scheme for one- and two-dimensional (1D & 2D) Euler equations in gas dynamics. It is an ext...
The paper analytically derives a third-order accurate direct Eulerian general-ized Riemann problem (GRP) scheme for one-dimensional special relativistic hydrody-namical equations. In our GRP scheme, t...
Gradient, divergence and Laplace-Beltrami operators over surfaces have played im- portant roles in many 痚lds related to geometry and analysis, such as di甧rential ge- ometry, computational geometry a...
We find two involutions on partitions that lead to partition identities for Ramanujan's third order mock theta functions φ(-q) and ψ(-q). We also give an involution for Fine's partition identity on th...
In this paper, we investigate superintegrable systems which separate in parabolic coordinates and admit a third-order integral of motion. We give the corresponding determining equations and show that ...
Abstract: In this paper the boundary value problem for one class of the operator-differential equations of the third order on a semi-axis, where one of the boundary conditions is perturbed by some lin...
Abstract: We have proceeded the analogy of Einstein tensor and alternative form of Einstein field equations for generic coefficients of eight terms in third order of Lovelock Lagrangian. We have found...
Abstract: We present a new six-parameter family of potentials whose solutions are expressed in terms of the hypergeometric functions 3F2, 2F2 and 1F2. Both the scattering data and the bound states of ...
According to Godunov theorem for numerical calculations of advection equations, there exist no high-er-order schemes with constant positive difference coefficients in a family of polynomial schemes wi...
This paper presents a numerical comparison of third order Lo − stable numerical schemes for the two-dimensional parabolic partial differential equations subject to nonlocal boundary conditions. ...
We compute the mass and the temperature of third order Lovelock black holes with negative Gauss-Bonnet coefficient $\alpha_2<0$ in anti-de Sitter space and perform the stability analysis of topologica...
In this paper, we present the asymptotically flat black hole solutions for arbitrary values of coefficients in third order Lovelock gravity, and then derive gravitational mass, Hawking temperature and...

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