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Numerical integration of celestial bodies equations with taking into account regularization and use osculating elements of major planets

open access: greenVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010
The regular differential equations for a problem of perturbed motion are received. The computing algorithm and the program of numerical integration of the equations of celestial motion by a method of Everhart taking into account regularization and use ...
Dmitriy A Zausaev, Leonid A Solov'ev
doaj   +1 more source

Numerical modelling of double integration with different data spacing: A Python-based approach [PDF]

open access: yesMathematics and Computational Sciences, 2023
In this article, an attempt has been made to model the process of double integration for different data spacing. The trapezoidal rule has been used to perform integration, whereas Newton's divided difference handles the inconsistent data points.
Priyanshi Mishra   +3 more
doaj   +1 more source

Some applications of Sigmoid functions [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2021
In numerical analysis, the process of fitting a function via given data is called interpolation. Interpolation has many applications in engineering and science.
M. A. Jafari, A. Aminataei
doaj   +1 more source

A Modified Radial Point Interpolation Method (M-RPIM) for Free Vibration Analysis of Two-Dimensional Solids

open access: yesMathematics, 2022
The classical radial point interpolation method (RPIM) is a powerful meshfree numerical technique for engineering computation. In the original RPIM, the moving support domain for the quadrature point is usually employed for the field function ...
Tingting Sun   +3 more
doaj   +1 more source

An enhanced BEM approach applied to potential problems: a comparative study [PDF]

open access: yesNumerical Methods in Civil Engineering, 2020
In the present paper, a hybrid analytical/numerical method capable of integrating singular logarithmic functions, as an essential part of the Boundary Element Method (BEM) process, is presented.
Parham Azhir   +3 more
doaj   +1 more source

Area of the Intersection between a Sphere and a Cylindrical Plane

open access: yesMathematical and Computational Applications, 2022
A proper understanding of the porous structure of packed beds of spheres is imperative in the analysis and design of the processes involving fluid flow and heat and mass transfer. The radial variation in porosity is of specific interest.
Charl Gabriël Du Toit
doaj   +1 more source

Semi-explicit Unconditionally Stable Time Integration method based on Generalized-α technique [PDF]

open access: yesمهندسی عمران شریف, 2022
In structural dynamic analysis, various time integration techniques have been proposed. Generally, these algorithms discretize the time domain into a finite number of intervals and approximate the displacements, velocities, and accelerations via ...
A.H namadchi   +2 more
doaj   +1 more source

Optimal Numerical Integration

open access: yesКібернетика та комп'ютерні технології, 2020
Introduction. In many applied problems, such as statistical data processing, digital filtering, computed tomography, pattern recognition, and many others, there is a need for numerical integration, moreover, with a given (often quite high) accuracy ...
V.K. Zadiraka   +2 more
doaj   +1 more source

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