Results 11 to 20 of about 17,453 (264)
The quantum-mechanical Coulomb propagator in an L2 function representation
Scientific Reports, 2021 The quantum-mechanical Coulomb propagator is represented in a square-integrable basis of Sturmian functions. Herein, the Stieltjes integral containing the Coulomb spectral function as a weight is evaluated.
Rolf Gersbacher, John T. Broad
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Bayesian contour integration [PDF]
Perception & Psychophysics, 2001 The process by which the human visual system parses an image into contours, surfaces, and objects--perceptual grouping--has proven difficult to capture in a rigorous and general theory. A natural candidate for such a theory is Bayesian probability theory, which provides optimal interpretations of data under conditions of uncertainty.
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Cauchy Principal Value Contour Integral with Applications
Entropy, 2017 Cauchy principal value is a standard method applied in mathematical applications by which an improper, and possibly divergent, integral is measured in a balanced way around singularities or at infinity.
Matilde Legua, Luis M. Sánchez-Ruiz
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The heat equation on time scales [PDF]
Opuscula Mathematica, 2023 We present the use of a Fourier transform on time scales to solve a dynamic heat IVP. This is done by inverting a certain exponential function via contour integral. We include some specific examples and directions for further study.
Tom Cuchta, Rui A.C. Ferreira
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Resultants and contour integrals [PDF]
Functional Analysis and Its Applications, 2012 9 ...
Morozov, A., Shakirov, Sh.
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Tribology Online, 2017 Euler’s belt formula for a fixed circular drum is well known and is an important formula for mechanical engineers. However, there is little book in which belt equation for a drum of any contour is discussed precisely.
Keiji Imado, Takefumi Otsu
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Ural Mathematical Journal, 2022 With a possible connection to integrals used in General Relativity, we used our contour integral method to write a closed form solution for a quadruple integral involving exponential functions and logarithm of quotient radicals.
Robert Reynolds, Allan Stauffer
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Mathematics, 2020 In this article, we propose a localized transform based meshless method for approximating the solution of the 2D multi-term partial integro-differential equation involving the time fractional derivative in Caputo’s sense with a weakly singular kernel ...
Kamran Kamran +3 more
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High-precision numerical estimates of the Mellin-Barnes integrals for the structure functions based on the stationary phase contour [PDF]
EPJ Web of Conferences, 2019 We present a recipe for constructing the effcient contour which allows one to calculate with high accuracy the Mellin-Barnes integrals, in particular, for the F3 structure function written in terms of its Mellin moments.
Sidorov Alexander +2 more
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Numerical contour integration for loop integrals [PDF]
Computer Physics Communications, 2006 A fully numerical method to calculate loop integrals, a numerical contour-integration method, is proposed. Loop integrals can be interpreted as a contour integral in a complex plane for an integrand with multi-poles in the plane. Stable and efficient numerical integrations an along appropriate contour can be performed for tensor integrals as well as ...
Kurihara, Y., Kaneko, T.
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