Formulation and Numerical Solution of a Set of Dynamical Equations for the Regge Pole Parameters

1963 ◽  
Vol 132 (4) ◽  
pp. 1854-1866 ◽  
Author(s):  
Hung Cheng ◽  
David Sharp
Keyword(s):  
Numerical Solution ◽  
Regge Pole ◽  
Dynamical Equations

Study of tilted cylindrical quark star

2020 ◽  
Vol 35 (14) ◽  
pp. 2050110
Author(s):  
M. Sharif ◽  
Sumaira Nazir
Keyword(s):  
Numerical Solution ◽  
Energy Conditions ◽  
Fluid Distribution ◽  
Quark Star ◽  
Field Equations ◽  
Dynamical Equations ◽  
Stellar Matter ◽  
Mit Bag Model ◽  
Pressure Anisotropy ◽  
Physical Features

In this paper, we study perfect, anisotropic and anisotropic dissipative cylindrical quark star for the tilted observer. To this end, the field equations and dynamical equations are formulated and assume MIT bag model to find a numerical solution of the field equations. The behavior of resulting model is investigated by plotting density, pressure, anisotropy and energy conditions. We check viability of the solutions through physical features related to stellar matter configuration. Finally, we discuss stability for all the cases of fluid distribution.

scholarly journals The tides in oceans on a rotating globe. Part III

1929 ◽  
Vol 126 (800) ◽  
pp. 1-15 ◽  
Keyword(s):  
Atlantic Ocean ◽  
Southern Ocean ◽  
Numerical Solution ◽  
The Other ◽  
Diurnal Tide ◽  
Considerable Importance ◽  
Dynamical Equations ◽  
Tidal Component

In Part I of this series of papers a method was described by which solutions of the general dynamical equations of the tides could be obtained which were appropriate to an ocean on a rotating globe bounded by vertical cliffs along two meridians of longitude. The method was applied in that paper to a specially chosen ocean which had a law of depth that introduced a simplification into the calculations. It is of considerable importance to apply the same method to an ocean of uniform depth. The present paper therefore gives the results for an ocean bounded by two meridians 60° apart, and having a uniform depth of 12,700 feet. Such an ocean would fairly represent the Atlantic Ocean if it were completely land-locked instead of being quite open to the Southern Ocean at one end and partially open at the other. The particular tide considered in this paper is the lunar semi-diurnal tide (M 2 ). The numerical solution is fairly complete and from the results it is possible to ascertain the character of the co-tidal lines and the values of the tide ranges corresponding to this tidal component in an ideal ocean of the form chosen.

scholarly journals EXACT SOLUTION FOR FLAT SCALE-INVARIANT COSMOLOGY

2019 ◽  
Vol 55 (1) ◽  
pp. 17-19 ◽  
Author(s):  
J. F. Jesus
Keyword(s):  
Exact Solution ◽  
Numerical Solution ◽  
Dynamical Equations ◽  
Scale Invariant ◽  
Cosmological Constraints

An exact solution for the spatially flat scale-invariant cosmology, recently proposed by Maeder (2017a) is deduced. No deviation from the numerical solution was detected. The exact solution yields transparency for the dynamical equations, and faster cosmological constraints may be performed.

Application of Modified Bloch Waves to Image Analysis of Extended Linear Defects

1974 ◽  
Vol 32 ◽  
pp. 402-403
Author(s):  
S. Nakahara ◽  
D. M. Maher
Keyword(s):  
Image Analysis ◽  
Computational Approach ◽  
Dislocation Loops ◽  
Plane Wave Expansion ◽  
Dynamical Equations ◽  
Bloch Waves ◽  
Linear Defects ◽  
Imperfect Crystal ◽  
Localized Defects ◽  
Defective Crystals

Since Head first demonstrated the advantages of computer displayed theoretical intensities from defective crystals, computer display techniques have become important in image analysis. However the computational methods employed resort largely to numerical integration of the dynamical equations of electron diffraction. As a consequence, the interpretation of the results in terms of the defect displacement field and diffracting variables is difficult to follow in detail. In contrast to this type of computational approach which is based on a plane-wave expansion of the excited waves within the crystal (i.e. Darwin representation ), Wilkens assumed scattering of modified Bloch waves by an imperfect crystal. For localized defects, the wave amplitudes can be described analytically and this formulation has been used successfully to predict the black-white symmetry of images arising from small dislocation loops.

Backscattering Analysis of Cylinder Shaped Scatterer in Vegetation Medium: Comparison Between Theories

2020 ◽  
Vol 2 (1) ◽  
pp. 15-18
Author(s):  
Syabeela Syahali ◽  
Ewe Hong Tat ◽  
Gobi Vetharatnam ◽  
Li-Jun Jiang ◽  
Hamsalekha A Kumaresan
Keyword(s):  
Numerical Solution ◽  
Cross Section ◽  
Traditional Method ◽  
Microwave Remote Sensing ◽  
Solution Model ◽  
Complex Nature ◽  
Good Match ◽  
Equivalent Source ◽  
Backscattering Cross Section ◽  
Method Model

This paper analyses the backscattering cross section of a cylinder both using traditional method model and a new numerical solution model, namely Relaxed Hierarchical Equivalent Source Algorithm (RHESA). The purpose of this study is to investigate the prospect of incorporating numerical solution model into volume scattering calculation, to be applied into microwave remote sensing in vegetation area. Results show a good match, suggesting that RHESA may be suitable to be used to model the more complex nature of vegetation medium.

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