The subject of our research is to solve accurately ODEs, which appear in mathematical models arising from several physical processes. For this purpose we develop a new class of weighted iterative operator splitting methods. We present applications to systems of linear ODEs, which might contain also stiff parameters. The benefit of the proposed method is demonstrated with regard to convergence r...

in this paper we study properties of symbols such that these belong to class of symbols sitting insidesm ρ,φ that we shall introduce as the following. so for because hypoelliptic pseudodifferential operatorsplays a key role in quantum mechanics we will investigate some properties of m−hypoelliptic pseudodifferential operators for which define base on this class of symbols. also we consider maxi...

Just-In-Time (JIT) as a lean manufacturing approach plays a significant role in minimising costs and performances of products and services supplied to the global marketplace. However, there are many potential risks that cause significant disruptions to all supply chain members. This study proposes a genetic approach for optimising a novel mathematical model for simultaneously minimising the tot...

Molodtsov initiated soft set theory that provided a general mathematicalframework for handling with uncertainties in which we encounter the data by affix parameterized factor during the information analysis as differentiated to fuzzy as well as bipolar fuzzy set theory.The main object of this paper is to lay a foundation for providing a new application of bipolar fuzzy soft tool in ...

Commutation rules between the Laplace operator and other basic operators (include the divergence, the curl, and the gradient operator) are established. These rules were seldom noticed in the past. However, it is shown that they lead to an alternative derivation of the electromagnetic fields due to an arbitrary current distribution in a homogeneous environment without referring to the vector pot...

where φb,ξ = (2π)MξT−bDξφ, the modulation operator Mξ, the translation operator T−b and the dilation operator D 1 ξ are defined by (Mξh)(x) = e ixξh(x), (T−bh)(x) = h(x− b), (Dξh)(x) = |ξ|h(ξx), for all x in R and all measurable functions h on R. The Stockwell transform is a versatile tool first introduced in [11]. More recent results on the Stockwell transform in the contexts of applications c...

Decentralized prioritization is a technique to influence job scheduling order in grid fairshare scheduling without centralized control. The technique uses an algorithm that measures individual user distances between quota allocations and historical resource usage (intended and current system state) to establish a semantic for prioritization. In this work we address design and evaluation of prio...

More than 10 years ago physicists gave a theoretic description of the so-called photonic crystal, an optic analog of a semiconductor. In contrast to a semiconductor, the photonic crystal is an artificial material, a composite. The dominant requirement for the photonic crystal is that electromagnetic waves of a certain length cannot propagate in it. It was also predicted that the photonic crysta...

Semi-classical states in homogeneous loop quantum cosmology (LQC) are constructed by two different ways. In the first approach, we firstly construct an exponentiated annihilation operator. Then a kind of semiclassical (coherent) state is obtained by solving the eigen-equation of that operator. Moreover, we use these coherent states to analyze the semiclassical limit of the quantum dynamics. It ...

We extend to a situation involving matrix valued orthogonal polynomials and matrix valued spherical functions on the sphere a result that goes back to work of Claude Shannon in lying the mathematical foundations of information theory and to a remarkable series of papers by D. Slepian, H. Landau and H. Pollak. To our knowledge, this is the first example showing in a non-commutative setup that a ...