In this article, a new fractional order one–country game model (OCGM) with distinct incidence is explored. We propose a mathematical system to model this situation. All the feasible equilibria of the system are obtained and the conditions for the existence of the interior equilibrium are determined. The basic reproduction numbers R0 = β (α+1)(γ+μ) and R∗ 0 = E rv are found. It is shown that the...

We present an analysis for a simple two-component harmonic oscillator that compares the use of position-Verlet to velocity-Verlet for multiple-time step integration. The numerical stability analysis based on the impulse-Verlet splitting shows that position-Verlet has enhanced stability, in terms of the largest allowable time step, for cases where an ample separation of time scales exists. Numer...

Graphene and related two-dimensional crystals and hybrid systems showcase several key properties that can address emerging energy needs, in particular for the ever growing market of portable and wearable energy conversion and storage devices. Graphene's flexibility, large surface area, and chemical stability, combined with its excellent electrical and thermal conductivity, make it promising as ...

In this paper, we derive non-dissipative stable and entropy satisfying finite volume schemes for scalar PDEs. It is based on the previous analysis of [20], which deals with general reconstruction schemes. More precisely, we develop discontinuous-in-cell reconstruction schemes, based on a discontinuous reconstruction of the solution in each cell of the mesh at each time step. The intend is to ha...

We present the full one-loop corrections to charged and CP-even neutral Higgs boson decays into sfermions including also the crossed channels. The calculation was carried out in the minimal supersymmetric extension of the Standard Model and we use the on-shell renormalization scheme. For the down-type sfermions, we use DR running fermion masses and the trilinear coupling Af as input. Furthermor...

We present a fast and numerically stable algorithm for computing the eigendecom-position of a symmetric block diagonal plus semiseparable matrix. We report numerical experiments that indicate that our algorithm is signiicantly faster than the standard method which treats the given matrix as a general symmetric dense matrix.

This paper concerns stability analysis and controller design for repetitive control. First, a two-dimensional (2D) continuous-discrete hybrid model of a repetitive control system is established. Next, new criteria for the asymptotic stability of the system are presented based on the model. Then, these criteria are extended to calculate lower bounds on stability margins to design a suitable cont...

In this article the numerical approximation of solutions of Itô stochastic differential equations is considered, in particular for equations with a small parameter 2 in the noise coefficient. We construct stochastic linear multi-step methods and develop the fundamental numerical analysis concerning their mean-square consistency, numerical stability in the mean-square sense and mean-square conve...

Working papers of the Federal Reserve Bank of Cleveland are preliminary materials circulated to stimulate discussion and critical comment on research in progress. They may not have been subject to the formal editorial review accorded official Federal Reserve Bank of Cleveland publications. The views stated herein are those of the authors and are not necessarily those of the Federal Reserve Bank...

Classification based on Fisher’s Linear Discriminant Analysis (FLDA) is challenging when the number of variables largely exceeds the number of given samples: The original FLDA needs to be carefully modified and with high dimensionality implementational issues like reduction of storage costs are of crucial importance. In this paper we first review popular methods for the high dimension/small sam...