We present a numerical method for two-phase incompressible Navier-Stokes equation with jump discontinuity in the normal component of stress tensor and material properties. Although proposed is only first-order accurate, it does capture sharply, not neglecting nor omitting any condition. Discontinuities velocity gradient pressure are expressed using linear combination singular force tangential d...

We present a meshfree generalized finite difference method for solving Poisson's equation with diffusion coefficient that contains jump discontinuities up to several orders of magnitude. To discretize the operator, we formulate strong form uses smearing discontinuity; and conservative formulation based on locally computed Voronoi cells. Additionally, propose novel enforcing Neumann boundary con...

The elapsed time model has been widely studied in the context of mathematical neuroscience with many open questions left. consists an age-structured equation that describes dynamics interacting neurons structured by since their last discharge. Our interest lies highly connected networks leading to strong nonlinearities where perturbation methods do not apply. To deal this problem, we choose a p...

In this work, a numerical model for the simulation of two-phase electrohydrodynamic (EHD) problems is proposed. It characterized by physically consistent treatment surface tension as well jump in electric material properties. The formulation based on finite element method enriched with special shape functions, capable accurate capturing discontinuities both fluid pressure and gradient potential...

Let f be an orientation preserving homeomorphism on the circle with several break points, that is, its derivative Df has jump discontinuities at these points. We study Rauzy-Veech renormalizations of piecewise smooth homeomorphisms by considering such maps as generalized interval exchange genus one. Suppose is absolutely continuous each continuity and \(D\ln {Df}\in {\mathbb {L}}_{p}\) for some...

background: physical exercises can influence some anthropometric and fitness components differently. the aim of present study was to evaluate how a relatively long‑term training program in 11‑14‑year‑old male iranian students affects their anthropometric and motor performance measures. methods: measurements were conducted on the anthropometric and fitness components of participants (n = 28) pri...

The Switch Point Algorithm is a new approach for solving optimal control problems whose solutions are either singular or bang-bang both and bang-bang, which possess finite number of jump discontinuities in an at the points time where solution structure changes. Problems this class can often be reduced to optimization over switching points. Formulas derived derivative objective with respect swit...

We consider the problem of exact reconstruction of univariate functions with jump discontinuities at unknown positions from their moments. These functions are assumed to satisfy an a priori unknown linear homogeneous differential equation with polynomial coefficients on each continuity interval. Therefore, they may be specified by a finite amount of information. This reconstruction problem has ...

Conservation laws are first order systems of quasilinear partial differential equations in divergence form; they express the balance laws of continuum physics for media with "elastic" response, in which internal dissipation is neglected. The absence of internal dissipation is manifested in the emergence of solutions with jump discontinuities across manifolds of codimension one, representing, in...