Results 21 to 30 of about 459,748 (156)
Spectrally adapted physics-informed neural networks for solving unbounded domain problems
Machine Learning: Science and Technology, 2023 Solving analytically intractable partial differential equations (PDEs) that involve at least one variable defined on an unbounded domain arises in numerous physical applications.
Mingtao Xia, Lucas Böttcher, Tom Chou
doaj +1 more source
Effectiveness of Floating-Point Precision on the Numerical Approximation by Spectral Methods
Mathematical and Computational Applications, 2021 With the fast advances in computational sciences, there is a need for more accurate computations, especially in large-scale solutions of differential problems and long-term simulations. Amid the many numerical approaches to solving differential problems,
José A. O. Matos, Paulo B. Vasconcelos
doaj +1 more source
Engineering Applications of Computational Fluid Mechanics, 2019 The computational performance and accuracy of a parallel pseudo-spectral solver is assessed, and the solver is validated for direct numerical simulations (DNS) of bypass transition and turbulent boundary layer flows.
S. Bhushan, S. Muthu
doaj +1 more source
Fast and Accurate Computation of Vertical Modes
Journal of Advances in Modeling Earth Systems, 2020 The vertical modes of linearized equations of motion are widely used by the oceanographic community in numerous theoretical and observational contexts.
Jeffrey J. Early +2 more
doaj +1 more source
Nonlinear Engineering, 2019 Herein, three important theorems were stated and proved. The first relates the modified generalized Laguerre expansion coefficients of the derivatives of a function in terms of its original expansion coefficients; and an explicit expression for the ...
Doha E.H., Youssri Y.H.
doaj +1 more source
A Matrix Approach by Convolved Fermat Polynomials for Solving the Fractional Burgers’ Equation
MathematicsThis article employs certain polynomials that generalize standard Fermat polynomials, called convolved Fermat polynomials, to numerically solve the fractional Burgers’ equation.
Waleed Mohamed Abd-Elhameed +4 more
doaj +1 more source
Стандартные образцы, 2019 This paper presents information on the development and certification of reference materials (CRM) for the composition of aqueous aluminium, indium, magnesium, nickel, and titanium solutions.CRMs are represented by aqueous solutions containing aluminium ...
I. I. Ermakova +3 more
doaj +1 more source
Compressive Spectral Renormalization Method
, 2016 In this paper a novel numerical scheme for finding the sparse self-localized states of a nonlinear system of equations with missing spectral data is introduced. As in the Petviashivili's and the spectral renormalization method, the governing equation is transformed into Fourier domain, but the iterations are performed for far fewer number of spectral ...
openaire +4 more sources
Influence of Computed Wave Spectra on Statistical Wave Properties
Journal of Marine Science and Engineering, 2020 The main goal of the paper is to compare the effects of the wave spectrum, computed using the Discrete Interaction Approximation (DIA) and the Webb–Resio–Tracy (WRT) methods, on statistical wave properties such as skewness and kurtosis in the context of ...
Tatjana Kokina, Frederic Dias
doaj +1 more source
MathematicsThis study explores the application of Romanovski–Jacobi polynomials (RJPs) in spectral Galerkin methods (SGMs) for solving differential equations (DEs).
Ramy M. Hafez +2 more
doaj +1 more source