Results 11 to 20 of about 545,451 (275)

Low-Rank Approximations for Parametric Non-Symmetric Elliptic Problems

open access: yesFrontiers in Physics, 2022
In this study, we obtained low-rank approximations for the solution of parametric non-symmetric elliptic partial differential equations. We proved the existence of optimal approximation subspaces that minimize the error between the solution and an ...
Tomás Chacón Rebollo   +2 more
doaj   +1 more source

Computing the eigenvalues of fourth order Sturm-Liouville problems with Lie Group method [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2017
‎In this paper, we formulate the fourth order Sturm-Liouville problem (FSLP) as a Lie group matrix differential equation. By solving this ma- trix differential equation by Lie group Magnus expansion, we compute the eigenvalues of the FSLP.
hanif mirzaei
doaj   +1 more source

A Numerical Examination of an Unsteady Nonlinear MHD Flow in the Presence of Thermal Radiation and Heat Generation

open access: yesInternational Journal of Applied Mechanics and Engineering, 2021
In this study, the spectral perturbation method and the spectral relaxation method are used to solve the nonlinear differential equations of an unsteady nonlinear MHD flow in the presence of thermal radiation and heat generation.
T.M. Agbaje, P.G.L. Leach
doaj   +1 more source

Solutions of the Schrödinger equation with Hulthén-screened Kratzer potential: Application to Diatomic Molecules

open access: yesEast European Journal of Physics, 2022
In this study, the Schrödinger equation with the Hulthén plus screened Kratzer potentials (HSKP) are solved via the Nikiforov-Uvarov (NU) and the series expansion methods.
Etido Inyang   +4 more
doaj   +1 more source

Approximation of functions of several variables by multidimensional $S$-fractions with independent variables

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
The paper deals with the problem of approximation of functions of several variables by branched continued fractions. We study the correspondence between formal multiple power series and the so-called "multidimensional $S$-fraction with independent ...
R.I. Dmytryshyn, S.V. Sharyn
doaj   +1 more source

Estimation of the order of the matrix method approximation of numerical integration of boundary-value problems for the second order inhomogeneous linear ordinary differential equations

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
Using the first three terms of Taylor expansion of the required function in the approximate derivative by finite differences leads to the second order approximation of the traditional numerical quadrature method of boundary value problems for linear ...
Vladimir N Maklakov
doaj   +1 more source

Williams Expansion Terms and their Importance for Accurate Stress Field Description in Specimens with a Crack [PDF]

open access: yesTransactions of the VŠB-Technical University of Ostrava, Mechanical Series, 2013
The paper deals with an analysis of the stress and displacement fields in various cracked specimens (loaded in mode I as well as in mode II). The main goal is to determine an accurate approximation of the near-crack-tip fields which can be subsequently
Lucie MALÍKOVÁ, Václav VESELÝ
doaj   +1 more source

Approximation of the Nonlinear B-H Curve by Complex Exponential Series

open access: yesIEEE Access, 2020
The paper presents an accurate and simple method for the approximation of the nonlinear B-H curves using expansion into complex exponential series. The least-squares fit of the model is obtained by the application of the Moore-Penrose pseudoinverse.
Martin Dadic   +2 more
doaj   +1 more source

Series Expansions and Approximations of the Nakagami-m Sum Probability Density Function

open access: yesIEEE Wireless Communications Letters, 2022
The numerical evaluation of the pdf of a sum of Nakagami-m random variables is considered in this letter. Different methods are proposed to obtain this approximation: i) a power series expansion based on elementary properties of unilateral convolution of power signals; ii) a Laplace approximation stemming from Laplace’s method for asymptotic integral ...
openaire   +2 more sources

Double expansion in asymptotically free theories [PDF]

open access: yes, 1995
I propose an approximation scheme for asymptotically free field theories combining both weak coupling and strong coupling series. The weak coupling expansion is used to integrate the high frequency modes and the resulting low energy effective theory is ...
Rosenstein, B.
core   +3 more sources

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