Elastic effects of an insoluble surfactant on the onset of two-dimensional Faraday waves: a numerical experiment

2005 ◽  
Vol 524 ◽  
pp. 305-329 ◽  
Author(s):  
SEBASTIÁN UBAL ◽  
MARÍA D. GIAVEDONI ◽  
FERNANDO A. SAITA
Keyword(s):  
Numerical Experiment ◽  
Two Dimensional ◽  
Faraday Waves ◽  
Insoluble Surfactant

A numerical study on two dimensional faraday waves

2001 ◽  
pp. 1000-1003 ◽  
Author(s):  
S. Ubal ◽  
C.M. Corvalán ◽  
M.D. Giavedoni ◽  
F.A. Saita
Keyword(s):  
Numerical Study ◽  
Two Dimensional ◽  
Faraday Waves

scholarly journals Application of two-dimensional fast Fourier transform algorithm, analog of the Cooley-Tukey algorithm, for 4k fixed format digital image of satellite data in frequency domain processing

2020 ◽  
Vol 149 ◽  
pp. 02010 ◽  
Author(s):  
Mikhail Noskov ◽  
Valeriy Tutatchikov
Keyword(s):  
Fourier Transform ◽  
Numerical Experiment ◽  
Fast Fourier Transform ◽  
Frequency Domain ◽  
Discrete Fourier Transform ◽  
Satellite Data ◽  
Digital Image ◽  
Digital Images ◽  
Two Dimensional ◽  
Fast Fourier Transform Algorithm

Currently, digital images in the format Full HD (1920 * 1080 pixels) and 4K (4096 * 3072) are widespread. This article will consider the option of processing a similar image in the frequency domain. As an example, take a snapshot of the earth's surface. The discrete Fourier transform will be computed using a two-dimensional analogue of the Cooley-Tukey algorithm and in a standard way by rows and columns. Let us compare the required number of operations and the results of a numerical experiment. Consider the examples of image filtering.

Third-Harmonic Resonance in Two-Dimensional Faraday Waves

2000 ◽  
Vol 69 (8) ◽  
pp. 2468-2478 ◽  
Author(s):  
Katsunori Yoshimatsu ◽  
Mitsuaki Funakoshi
Keyword(s):  
Two Dimensional ◽  
Faraday Waves ◽  
Third Harmonic ◽  
Harmonic Resonance

scholarly journals A numerical analysis of the influence of the liquid depth on two-dimensional Faraday waves

2003 ◽  
Vol 15 (10) ◽  
pp. 3099 ◽  
Author(s):  
S. Ubal ◽  
M. D. Giavedoni ◽  
F. A. Saita
Keyword(s):  
Numerical Analysis ◽  
Two Dimensional ◽  
Faraday Waves ◽  
Liquid Depth

Faraday waves on a two-dimensional periodic substrate

2014 ◽  
Vol 136 (4) ◽  
pp. 2256-2256
Author(s):  
C. T. Maki ◽  
Peter Rodriguez ◽  
Purity Dele-Oni ◽  
Pei-Chuan Fu ◽  
R. Glynn Holt
Keyword(s):  
Two Dimensional ◽  
Faraday Waves

A mollification method with Dirichlet kernel to solve Cauchy problem for two-dimensional Helmholtz equation

2019 ◽  
Vol 17 (05) ◽  
pp. 1950029 ◽  
Author(s):  
Shangqin He ◽  
Xiufang Feng
Keyword(s):  
Cauchy Problem ◽  
Exact Solution ◽  
Numerical Experiment ◽  
Helmholtz Equation ◽  
Regularization Method ◽  
Dirichlet Kernel ◽  
Two Dimensional ◽  
Strip Domain ◽  
Ill Posed ◽  
Mollification Method

In this paper, the ill-posed Cauchy problem for the Helmholtz equation is investigated in a strip domain. To obtain stable numerical solution, a mollification regularization method with Dirichlet kernel is proposed. Error estimate between the exact solution and its approximation is given. A numerical experiment of interest shows that our procedure is effective and stable with respect to perturbations of noise in the data.

scholarly journals The Hyperspherical Functions of a Derivative

2010 ◽  
Vol 2010 ◽  
pp. 1-17
Author(s):  
Nenad Cakic ◽  
Duško Letic ◽  
Branko Davidovic
Keyword(s):  
Numerical Experiment ◽  
Degrees Of Freedom ◽  
Recurrent Relation ◽  
Theoretical Research ◽  
Two Dimensional ◽  
The Third ◽  
Graphical Presentation

We present the results of theoretical research of the generalized hypersherical function (HS) by generalizing two known functions related to the sphere hypersurface and hypervolume and the recurrent relation between them. By introducing two-dimensional degrees of freedomkandn(and the third, radiusr), we develop the derivative functions for all three arguments and the possibilities of their use. The symbolical evolution, numerical experiment, and graphical presentation of functions are realized using the Mathcad Professional and Mathematica softwares.

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