Stochastic simulators are ubiquitous in many fields of applied sciences and engineering. In the context uncertainty quantification optimization, a large number simulations is usually necessary, which becomes intractable for high-fidelity models. Thus surrogate models stochastic have been intensively investigated last decade. this paper, we present novel approach to surrogating response distribu...

In this paper, we focus on fractional programming problems that minimize the ratio of two indefinite quadratic functions subject to two quadratic constraints. Utilizing the relationship between fractional programming and parametric programming, we transform the original problem into a univariate nonlinear equation. To evaluate the function in the equation, we need to solve a problem of minimizi...

Cryptography is the science of information and communication security. Up to now, for efficiency reasons cryptographic algorithm has been written in an imperative language. But to get acquaintance with a functional programming language a question arises: functional programming offers some new for secure communication or not? This article investigates this question giving an overview on some cry...

We prove the existence of multiple positive BV-solutions Neumann problem $$ \begin{cases} \displaystyle -\left(\frac{u'}{\sqrt{1+u'^2}}\right)'=a(x)f(u)\quad&\mbox{in }(0,1), u'(0)=u'(1)=0,& {cases} where $a(x) > 0$ and $f$ belongs to a class nonlinear functions whose prototype example is given by $f(u) = -\lambda u + u^p$, for $\lambda $p 1$. In particular, $f(0)=0$ has unique zero, denoted $u...