to control the nonlinear numerical instability, throughout the time evolution of the eulerian form of the nonlinear rotating shallow water equations, it is necessary to add numerical diffusion to the solution. it is clear that, this extra numerical diffusion degrades the accuracy of the numerical solution and should be kept as small as possible. in a conventional approach a hyper-diffusion is u...

 In this paper, we aresupposed to introduce the definitions of n-fold commutative, andimplicative hyper K-ideals. These definitions are thegeneralizations of the definitions of commutative, andimplicative hyper K-ideals, respectively, which have been definedin [12]. Then we obtain some related results. In particular wedetermine the relationships between n-fold implicative hyperK-ideal and n-fol...

in this paper, we aresupposed to introduce the definitions of n-fold commutative, andimplicative hyper k-ideals. these definitions are thegeneralizations of the definitions of commutative, andimplicative hyper k-ideals, respectively, which have been definedin [12]. then we obtain some related results. in particular wedetermine the relationships between n-fold implicative hyperk-ideal and n-fold...

1. Abstract Partial Differential Equation (PDE)-constrained optimization requires the solution of large-scale systems of equations at each iteration of the design process. The size of such systems scales with the dimension of the discretized model associated with the PDE and incurs large CPU costs and memory requirements. In the present work, projection-based reduced-order models (ROMs) [1] are...

Correspondence: [email protected] Computing and Mathematics, University of Stirling, FK9 4LA Stirling, UK Abstract Background: Mixed Order Hyper Networks (MOHNs) are a type of neural network in which the interactions between inputs are modelled explicitly by weights that can connect any number of neurons. Such networks have a human readability that networks with hidden units lack. They can be u...

We introduce a new consistency condition for neutral social welfare functions, called hyperstability. A social welfare function α selects a complete weak order from a profile PN of linear orders over any finite set of alternatives, given N individuals. Each linear order P in PN generates a linear order over orders of alternatives,called hyper-preference, by means of a preference extension. Henc...

In this paper, a novel fractional-order hyper-chaotic system is proposed. By drawing the phase trajectory and Lyapunov exponent spectrum, its dynamic characteristics are analyzed. The simulation results show that the fractional-order hyper-chaotic system has hyper-chaotic characteristic. Then, image encryption implementation based on the fractional-order hyper-chaotic system is investigated. An...

in this note first we define the notions of fuzzy positive implicativehyper bck-ideals of types 1,2,3 and 4. then we prove some theorems whichcharacterize the above notions according to the level subsets. also we obtainthe relationships among these notions, fuzzy (strong, weak, reflexive) hyperbck-ideals and fuzzy positive implicative hyper bck-ideals of types 5,6,7and 8. then, we define the no...

an improved mit bag model with hyper central interactions is used to calculate the staticproperties of hadrons containing u, d, s and c quarks. we present a theoretical approach to the internalstructure of three-body hyper central interacting quarks in a hadron, in which we take hadron as a bag.we discuss a few of the results obtained using a six-dimension harmonic oscilator (h.o) potential, ha...