In this paper, the cell-centered finite volume method (CC-FVM) has been presented to simulate the axisymmetric radial flow toward a pumping well. The model is applied to the unstructured triangular grids which allows to simulate inhomogeneous and complex-shaped domains. Due to the non-orthogonality of the irregular grids, the multipoint flux approximation (MPFA) methods are used to discretize t...

This paper addresses an approximation-based anti-windup (AW) control strategy for suppressing the windup effect caused by actuator saturation nonlinearity in proportional–integral–derivative (PID) controlled systems. The effect of actuator constraint is firstly regarded as a disturbance imported to the PID controller. The external disturbance can then be modeled by a linear differential equatio...

We present new polynomial-time approximation schemes (PTAS) for several basic minimum-cost multi-connectivity problems in geometrical graphs. We focus on low connectivity requirements. Each of our schemes either significantly improves the previously known upper time-bound or is the first PTAS for the considered problem. We provide a randomized approximation scheme for finding a biconnected grap...

Numerical schemes using locally discontinuous polynomial approximation are very popular for high order approximation of conservation laws. While the most widely used numerical schemes under this paradigm appears to be the Discontinuous Galerkin method, the Spectral Difference scheme has often been found attractive as well, because of its simplicity in formulation and implementation. Linear stab...

We study linear-response time-dependent density-functional theory (DFT) based on the singledeterminant range-separated hybrid (RSH) scheme, i.e. combining a long-range Hartree-Fock exchange kernel with a short-range DFT exchange-correlation kernel, for calculating electronic excitation energies of molecular systems. It is an alternative to the more common long-range correction (LC) scheme which...

In this paper we study a start-up shear flow of recently proposed model shear-thinning fluid that mimics the response class viscoplastic materials, namely between parallel plates, one which is fixed and other started impulsively. simple flows while generalized viscosity blows up, stress yet finite thus able to mimic fluids. The analytical solution velocity profile obtained using semi-inverse ap...

We present a two level nite di erence scheme for the approximation of nonlinear parabolic equations. Discrete inner products and the lowest order Raviart-Thomas approximating space are used in the expanded mixed method in order to develop the nite di erence scheme. Analysis of the scheme is given assuming an implicit time discretization. In this two level scheme, the full nonlinear problem is s...

We present a two level nite diierence scheme for the approximation of nonlinear parabolic equations. Discrete inner products and the lowest order Raviart-Thomas approximating space are used in the expanded mixed method in order to develop the nite diierence scheme. Analysis of the scheme is given assuming an implicit time discretization. In this two level scheme, the full nonlinear problem is s...

For any column A:,i the best response vector is 1, so A:,i1 T − A 0 = 2 n − 1 = 2(1 − 1/n) OPTF 1 OPTF 1 = n Boolean l0-rank-1 Theorem 3. (Sublinear) Given A ∈ 0,1 m×n with column adjacency arrays and with row and column sums, we can compute w.h.p. in time O min A 0 +m + n, ψB −1 m + n log(mn) vectors u, v such that A − uv 0 ≤ 1 + O ψB OPTB . Theorem 4. (Exact) Given A ∈ 0,1 m×n with OPTB / A 0...

We have developed an eecient large-stencil nite-diierence scheme of time-dependent Maxwell's curl equations based on the wavelet-Galerkin formulation in time-domain. The proposed scheme enables, for the rst time within a limited computational resource, full-vector analysis of three-dimensional rib waveguides that are typically used in integrated planar optical devices. The formulation takes adv...