Results 31 to 40 of about 520 (46)

Pressure Regularity Criterion for the Three-dimensional Navier-Stokes Equations in Infinite Channel [PDF]

open access: yes, 2007
In this paper we consider the three-dimensional Navier-Stokes equations in an infinite channel. We provide a sufficient condition, in terms of $\partial_z p$, where $p$ is the pressure, for the global existence of the strong solutions to the three ...
Cao, Chongsheng, Titi, Edriss S.
core   +1 more source

A short note on simplified pseudospectral methods for computing ground state and dynamics of spherically symmetric Schrodinger--Poisson--Slater system

open access: yes, 2011
In a recent paper we proposed and compared various approaches to compute the ground state and dynamics of the Schr\"{o}dinger--Poisson--Slater (SPS) system for general external potential and initial condition, concluding that the methods based on sine ...
Dong, Xuanchun
core   +1 more source

Accurate Simulation of Ideal Circular and Elliptic Cylindrical Invisibility Cloaks

open access: yes, 2014
The coordinate transformation offers a remarkable way to design cloaks that can steer electromagnetic fields so as to prevent waves from penetrating into the {\em cloaked region} (denoted by $\Omega_0$, where the objects inside are invisible to observers
Wang, Li-Lian, Yang, Zhiguo
core   +1 more source

Enhancing the accuracy and efficiency of two uniformly convergent numerical solvers for singularly perturbed parabolic convection–diffusion–reaction problems with two small parameters

open access: yesDemonstratio Mathematica
This study is devoted to designing two hybrid computational algorithms to find approximate solutions for a class of singularly perturbed parabolic convection–diffusion–reaction problems with two small parameters.
Ansari Khursheed J.   +2 more
doaj   +1 more source

Second-order mixed-moment model with differentiable ansatz function in slab geometry

open access: yes, 2017
We study differentiable mixed-moment models (full zeroth and first moment, half higher moments) for a Fokker-Planck equation in one space dimension.
Schneider, Florian
core   +1 more source

A fast and well-conditioned spectral method [PDF]

open access: yes, 2012
A novel spectral method is developed for the direct solution of linear ordinary differential equations with variable coefficients. The method leads to matrices which are almost banded, and a numerical solver is presented that takes $O(m^{2}n)$ operations,
Olver, Sheehan, Townsend, Alex
core   +1 more source

Chaotic and quasi-periodic dynamics in nonlinear micro-strain wave systems: Exact symbolic solutions and symmetry-based analysis

open access: yesResults in Engineering
This work presents a systematic theoretical and computational investigation of the micro-strain wave (MSW) model, a fundamental nonlinear evolution equation governing propagation phenomena in media with microscale deformation effects.
Mostafa M.A. Khater
doaj   +1 more source

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