Integral transform methods in goodness-of-fit testing, I: the gamma distributions
Sign Up to like & getrecommendations! Published in 2019 at "Metrika"
DOI: 10.1007/s00184-019-00749-y
Abstract: We apply the method of Hankel transforms to develop goodness-of-fit tests for gamma distributions with given shape parameters and unknown rate parameters. We derive the limiting null distribution of the test statistic as an integrated… read more here.
Keywords: goodness fit; integral transform; test statistic; transform methods ... See more keywords
Improving the precision of discrete numerical solutions using the generalized integral transform technique
Sign Up to like & getrecommendations! Published in 2020 at "Journal of the Brazilian Society of Mechanical Sciences and Engineering"
DOI: 10.1007/s40430-020-02346-x
Abstract: Most spatial discretizations applied by finite difference and volume methods to advective/convective terms introduce significant diffusive and dispersive numerical errors, where the former is often required to improve the numerical stability to the resulting scheme.… read more here.
Keywords: numerical solutions; discrete numerical; transform technique; integral transform ... See more keywords
Application of an exact integral transform formulation for temperature estimation in solid-state electronics
Sign Up to like & getrecommendations! Published in 2021 at "Journal of The Brazilian Society of Mechanical Sciences and Engineering"
DOI: 10.1007/s40430-021-02912-x
Abstract: This work presents an application of an exact analytical approach to estimate the temperature field of solid-state electronics (SSE). A partial lumped approach in the chip’s height was performed, obtaining a two-dimensional mathematical model. The… read more here.
Keywords: formulation; state electronics; application exact; solid state ... See more keywords
Integral transform analysis of microchannel fluid flow: Irregular geometry estimation using velocimetry data
Sign Up to like & getrecommendations! Published in 2021 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2020.09.035
Abstract: Abstract A hybrid numerical-analytical solution to fluid flow in irregularly-shaped microchannels has been developed. The solution is based on the Generalized Integral Transform Technique (GITT) applied to a trapezoid-like duct to account for fabrication imperfections,… read more here.
Keywords: irregular geometry; integral transform; fluid flow; geometry ... See more keywords
Integral transform solution of micropolar magnetohydrodynamic oscillatory flow with heat and mass transfer over a plate in a porous medium subjected to chemical reactions
Sign Up to like & getrecommendations! Published in 2019 at "Journal of King Saud University - Science"
DOI: 10.1016/j.jksus.2017.07.002
Abstract: Abstract The main goal of the present work is to show the procedure, application and main features of the hybrid numerical-analytical approach known as GITT (Generalized Integral Transform Technique) by solving an unsteady, one-dimensional magnetohydrodynamic… read more here.
Keywords: field; heat mass; oscillatory flow; integral transform ... See more keywords
Neumann-Weber integral transform for complex indices
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5049525
Abstract: Diffusion and heat equations are commonly investigated in mathematical physics and are solvable for potentials in polar coordinates with a separation into a radial and an angular equation. While the angular equation can be solved… read more here.
Keywords: transform complex; integral transform; physics; weber integral ... See more keywords
An Analytical Solution for Moving Bed Heat Exchangers via Integral Transform Methods
Sign Up to like & getrecommendations! Published in 2019 at "Heat Transfer Engineering"
DOI: 10.1080/01457632.2019.1699290
Abstract: Abstract A number of analytical solutions for moving bed heat exchangers (MBHEs) have been recently obtained by means of Laplace transforms. In this work, an alternative method for obtaining the analytical solution for a co-current… read more here.
Keywords: bed heat; integral transform; moving bed; heat exchangers ... See more keywords
An integral transform related to series involving alternating harmonic numbers
Sign Up to like & getrecommendations! Published in 2017 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2017.1318874
Abstract: ABSTRACT We introduce an integral transform which may be used to construct new closed-form formulas for series involving alternating harmonic numbers, such as the Ramanujan-like formula introduced in this article which elegantly relates Catalan's constant… read more here.
Keywords: involving alternating; series involving; harmonic numbers; integral transform ... See more keywords
Spectral-density estimation with the Gaussian integral transform
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DOI: 10.1103/physreva.102.022409
Abstract: The spectral density operator $\hat{\rho}(\omega)=\delta(\omega-\hat{H})$ plays a central role in linear response theory as its expectation value, the dynamical response function, can be used to compute scattering cross-sections. In this work, we describe a near… read more here.
Keywords: log left; spectral density; density; gaussian integral ... See more keywords
Analytical Bending Solutions of Orthotropic Rectangular Thin Plates with Two Adjacent Edges Free and the Others Clamped or Simply Supported Using Finite Integral Transform Method
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Civil Engineering"
DOI: 10.1155/2020/8848879
Abstract: For the first time, the finite integral transform method is introduced to explore the accurate bending analysis of orthotropic rectangular thin plates with two adjacent edges free and the others clamped or simply supported. Previous… read more here.
Keywords: integral transform; method; simply supported; finite integral ... See more keywords