An Entropic Fourier Method for the Boltzmann Equation [PDF]
SIAM Journal on Scientific Computing, 2017 We propose an entropic Fourier method for the numerical discretization of the Boltzmann collision operator.
Zhenning Cai, Yuwei Fan, Lexing Ying
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Mathematics, 2022 Inhomogeneous elliptical inclusions with partial differential equations have aroused appreciable concern in many disciplines. In this paper, a pseudo-spectral collocation method, based on Fourier basis functions, is proposed for the numerical solutions ...
Xiao Wang +3 more
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Fourier-Spectral Method for the Phase-Field Equations
Mathematics, 2020 In this paper, we review the Fourier-spectral method for some phase-field models: Allen–Cahn (AC), Cahn–Hilliard (CH), Swift–Hohenberg (SH), phase-field crystal (PFC), and molecular beam epitaxy (MBE) growth.
Sungha Yoon +6 more
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End-to-End Optimization of Coherent Optical Communications Over the Split-Step Fourier Method Guided by the Nonlinear Fourier Transform Theory [PDF]
Journal of Lightwave Technology, 2020 Optimizing modulation and detection strategies for a given channel is critical to maximizing the throughput of a communication system. Such an optimization can be easily carried out analytically for channels that admit closed-form analytical models ...
S. Gaiarin +3 more
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Mathematical modeling of the electric field in anisotropic semiconductors during Hall measurements [PDF]
Известия Саратовского университета. Новая серия: Физика, 2023 Background and Objectives: Modern discrete functional semiconductor devices and structural elements of micro- and nanoelectronics use materials with anisotropy of electrical properties.
Filippov, Vladimir Vladimirovich +1 more
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Fourier Methods in Imaging [PDF]
Journal of Electronic Imaging, 2011 Series Editor s Preface. Preface. 1 Introduction. 1.1 Signals, Operators, and Imaging Systems. 1.2 The Three Imaging Tasks. 1.3 Examples of Optical Imaging. 1.4 ImagingTasks inMedical Imaging. 2 Operators and Functions. 2.1 Classes of Imaging Operators. 2.2 Continuous and Discrete Functions. Problems.
Roger L. Easton Jr., Paul J. Kane
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Задача с начальными данными для уравнения, связанного с перидинамической моделью в двумерной области
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2021 В настоящей работе доказывается единственность и существование решения задачи Коши для интегро-дифференциального уравнения, связанного с перидинамической моделью механики твёрдого тела с двумя пространственными переменными.
Юлдашева, А.В.
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Mixed Problem for a Homogeneous Wave Equation with a Nonzero Initial Velocity and a Summable Potential [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 For a mixed problem defined by a wave equation with a summable potential equal-order boundary conditions with a derivative and a zero initial position, the properties of the formal solution by the Fourier method are investigated depending on the ...
Kurdyumov, Vitalii Pavlovich +2 more
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Об одной нелокальной краевой задаче для уравнения четвертого порядка в частных производных
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2021 В данной статье изучается нелокальная задача для уравнения четвертого порядка в которой доказывается существование и единственность решения этой задачи. Решение построено явно в виде ряда Фурье, обоснованы абсолютная и равномерная сходимость полученного ...
Киличов, О.Ш.
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Classic and generalized solutions of the mixed problem for wave equation with a summable potential. Part I. Classic solution of the mixed problem [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 The resolvent approach and the using of the idea of A. N. Krylov on the acceleration of convergence of Fourier series, the properties of a formal solution of a mixed problem for a homogeneous wave equation with a summable potential and a zero initial ...
Kurdyumov, Vitalii Pavlovich
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