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...

We obtain a general class of time-dependent, asymptotically de Sitter backgrounds which solve the first order bosonic equations that extremize the action for supergravity with gauged non-compact R-symmetry. These backgrounds correspond only to neutral fields with the correct sign of kinetic energy. Within N=2 five-dimensional supergravity with vector-superfields we provide examples of multi-cen...

This paper discusses the control relevant parametric identification of a servo system present in a Compact Disc player. In this application an approximate closed loop identification problem is solved in order to come up with a linear multivariable discrete time model, suitable for control design. This identification problem is handled by a recently introduced two stage method. It yields an expl...

The hierarchical reconstruction (HR) [9, 20] is applied to a piecewise quadratic spectral volume method on two-dimensional unstructured grids as a limiting procedure to prevent spurious oscillations in numerical solutions. The key features of this HR are that the reconstruction on each control volume only uses adjacent control volumes, which forms a compact stencil set, and there is no truncati...

be the set of affine critical values. The set Baff is a subset of B but is not necessarily equal to B. The value c ∈ C is regular at infinity if there exists a disk D centered at c and a compact set K of C2 with a locally trivial fibration f : f−1 (D) \K −→ D. There is only a finite number of non-regular values at infinity: the critical values at infinity collected in B∞. The bifurcation set B ...

The body-centered cubic (BCC) lattice is the optimal three-dimensional sampling lattice. Its optimality stems from the fact that its dual, the face-centered cubic (FCC) lattice, achieves the highest sphere-packing efficiency. In order to approximate a scalar-valued function from samples that reside on a BCC lattice, spline-like compact kernels have been recently proposed. The lattice translates...

A capacitively loaded planar inverted{F antenna (PIFA) is proposed and studied. It is found that the capacitive load reduces the resonance length of the PIFA from =4 to less than =8. A design with a bandwidth of 178MHz centered at 1.8GHz is provided to demonstrate that compact antennas for mobile telephone handsets can be constructed using this approach. The nite diierence time domain method is...

Fix some finite alphabet A and consider the compact space A of two-sided sequences over this alphabet. Here we endow A with the discrete topology and A with the product topology. We want to study repetitions in sequences ω ∈ A that either begin at the origin or are centered at the origin and hence are “pinned.” Moreover, we also want to study how many times arbitrarily long subwords are repeate...

This article presents a time-accurate numerical method using high-order accurate compact finite difference scheme for the incompressible Navier–Stokes equations. The method relies on the artificial compressibility formulation, which endows the governing equations a hyperbolic–parabolic nature. The convective terms are discretized with a third-order upwind compact scheme based on flux-difference...