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Numerical modelling of double integration with different data spacing: A Python-based approach [PDF]
Mathematics 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
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Some applications of Sigmoid functions [PDF]
Iranian 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
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An enhanced BEM approach applied to potential problems: a comparative study [PDF]
Numerical 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
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Area of the Intersection between a Sphere and a Cylindrical Plane
Mathematical 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
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Semi-explicit Unconditionally Stable Time Integration method based on Generalized-α technique [PDF]
مهندسی 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
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Кібернетика 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
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Identification of Continuous-Discrete Hidden Markov Models with Multiplicative Observation Noise
Mathematics, 2022 The paper aims to identify hidden Markov model parameters. The unobservable state represents a finite-state Markov jump process. The observations contain Wiener noise with state-dependent intensity.
Andrey Borisov, Andrey Gorshenin
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Mathematics, 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
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Enhancing Accuracy of Runge–Kutta-Type Collocation Methods for Solving ODEs
Mathematics, 2021 In this paper, a new class of Runge–Kutta-type collocation methods for the numerical integration of ordinary differential equations (ODEs) is presented. Its derivation is based on the integral form of the differential equation.
Janez Urevc, Miroslav Halilovič
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On some quadrature rules with Gregory end corrections [PDF]
Opuscula Mathematica, 2009 How can one compute the sum of an infinite series \(s := a_1 + a_2 + \ldots\)? If the series converges fast, i.e., if the term \(a_n\) tends to \(0\) fast, then we can use the known bounds on this convergence to estimate the desired sum by a finite sum \(
Bogusław Bożek +2 more
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