Dimensional analysis under linguistic Pythagorean fuzzy set (DA-LPFS) is a technique to handle qualitative (intangible) as well the interactions between criteria, by combining dimensional (DA) and (PFS) with variables. In this paper, novel DA method proposed for LPFSs based in PFS extension, order consider mutual relationship among criteria (fuzzy) quantitative (crisp) information usually invol...

We construct two variable-step linearly implicit Runge–Kutta methods of orders 3 and 4 for the numerical integration of the semidiscrete equations arising after the spatial discretization of advection–reaction–diffusion equations. We study the stability properties of these methods giving the appropriate extension of the concept of L-stability. Numerical results are reported when the methods pre...

A physically-plausible simulation of snow is a challenging task. The method we analyze in this thesis is a Material Point Method (MPM), that has been adjusted to accommodate both the fluid-like and the granular properties of snow. We analyze the simulation in four aspects. One, the noise generated from problems in numerical stability. Two, we analyze the domain in which simulation parameters pe...

In this paper, we study numerically the existence and stability of some special solutions of the nonlinear beam equation: utt +uxxxx +u− |u|p−1u = 0 when p = 3 and p = 5. First we show the existence and the orbital stability of the standing wave solutions: u(x, t) = eφω(x). Next, we study the existence and linear stability of the traveling wave solutions: u(x, t) = φ(x + ct). For both types of ...

We construct curve counting invariants for a Calabi-Yau threefold Y equipped with a dominant birational morphism π : Y → X. Our invariants generalize the stable pair invariants of Pandharipande and Thomas which occur for the case when π : Y → Y is the identity. Our main result is a PT/DT-type formula relating the partition function of our invariants to the Donaldson-Thomas partition function in...

This study is conducted under the domain of Vygotskian Socio-cultural Theory (SCT) of mind and the notion of dynamic assessment to elevate the linguistic accuracy of EFL learners’ writing skill. 40 homogenous intermediate EFL learners from four intact classes were divided into two dynamic assessment (DA) and non-dynamic assessment (NDA) groups. As a pre-test, the participants were given writing...