We propose a novel high resolution conservative advection scheme that is suitable for thin, embedded moving solid structures. The scheme works by coupling together a high order flux-based method with a conservative semi-Lagrangian solver that is similar in spirit to that of [26], but modified to treat the cut cells and partial volumes that arise near a thin solid structure. The conservative sem...

Objective(S): In this work, paclitaxel (PX), a promising anticancer drug, was loaded in the basil seed mucilage (BSM) aerogels by implementation of supercritical carbon dioxide (SC-CO2) technology. Then, the effects of operating conditions were studied on the PX mean particle size (MPS), particle size distribution (PSD) and drug loading efficiency (DLE). <stron...

in this paper, a class of semi-implicit two-stage stochastic runge-kutta methods (srks) of strong global order one, with minimum principal error constants are given. these methods are applied to solve itô stochastic differential equations (sdes) with a wiener process. the efficiency of this method with respect to explicit two-stage itô runge-kutta methods (irks), it method, milstien method, sem...

An efficient adaptive moving mesh method for investigation of the semi-classical limit of the focusing nonlinear Schrödinger equation is presented. The method employs a dynamic mesh to resolve the sea of solitons observed for small dispersion parameters. A second order semi-implicit discretization is used in conjunction with a dynamic mesh generator to achieve a cost-efficient, accurate, and st...

We analyze the interaction of explicit and implicit contracts in a model with selfish and fair principals. Fair principals are willing to honor implicit agreements, whereas selfish principals are not. Principals are privately informed about their types. We investigate a separating equilibrium in which principals reveal their type through the contract offer to the agent. If this equilibrium is p...

in a finite or infinite interval ri<x<r2. Recently [2] the theory of semigroups of transformations was used to formulate the integration problem and to define the notion of lateral conditions. It will now be shown that the semi-groups constructed in [2 ] permit us to describe the totality of all stochastic processes connected with (1.1). To each there corresponds a forward, or Fokker-Planck, eq...

−i~α · ∇w + aβw +M(x)w = f(x, |w|)w for x ∈ R3, where M(x) denotes the scaler field V (x) or V (x)β, and f describes the self-interaction which is either subcritical: W (x)|w|p−2, or critical: W1(x)|w| +W2(x)|w|, with p ∈ (2, 3). We prove multiplicity results with the number of solutions obtained depending on the ratio of minV and lim inf |x|→∞ V (x), as well as maxW and lim sup|x|→∞W (x) for t...