Results 41 to 50 of about 121,135,969 (308)

A new mixed discontinuous Galerkin method for the electrostatic field

open access: yesAdvances in Difference Equations, 2019
We introduce and analyze a new mixed discontinuous Galerkin method for approximation of an electric field. We carry out its error analysis and prove an error estimate that is optimal in the mesh size.
Abdelhamid Zaghdani, Mohamed Ezzat
doaj   +1 more source

Existence and uniqueness of global strong solutions for a class of non-Newtonian fluids with small initial energy and vacuum

open access: yesComptes Rendus. Mécanique, 2021
In this article, we investigate an initial and boundary value problem for a class of compressible non-Newtonian fluids, provided the initial energy is small and the initial density containing the vacuum state is allowed.
Xu, Jianjun, Yuan, Hongjun
doaj   +1 more source

A Priori Estimate of Solutions of a Mixed Problem for the Vlasov–Poisson System with a Homogeneous External Magnetic Field

open access: yes, 2022
We consider the first mixed problem for the Vlasov–Poisson system with a homogeneous external magnetic field in an infinite cylinder. For solutions with supports of the distribution density functions of charged particles lying strictly in the inner ...
Skubachevskii A.L., A. L. Skubachevskii
core   +1 more source

Existence and Uniqueness Theorem for a Solution to a Class of a Third-Order Nonlinear Differential Equation in the Domain of Analyticity

open access: yesAxioms, 2022
The paper considers the specifics of nonlinear differential equations that have applications in different areas. Earlier, the authors proved the existence and uniqueness theorem for a solution to a class of non-linear differential equations in a ...
Victor Orlov, Magomedyusuf Gasanov
doaj   +1 more source

Numerical method for solving an initial-boundary value problem for a multidimensional loaded parabolic equation of a general form with conditions of the third kind [PDF]

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022
An initial-boundary value problem is studied for a multidimensional loaded parabolic equation of general form with boundary conditions of the third kind. For a numerical solution, a locally one-dimensional difference scheme by A.A.Samarskii with order of
Zaryana Beshtokova
doaj   +1 more source

Quasi-A Priori Truncation Error Estimation in the DGSEM [PDF]

open access: yesJournal of Scientific Computing, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rubio Calzado, Gonzalo   +3 more
openaire   +3 more sources

The Surrogate Matrix Methodology: A Priori Error Estimation [PDF]

open access: yesSIAM Journal on Scientific Computing, 2019
We give the first mathematically rigorous analysis of an emerging approach to finite element analysis (see, e.g., Bauer et al. [ Appl. Numer. Math., 122 (2017), pp. 14--38]), which we hereby refer to as the surrogate matrix methodology. This methodology is based on the piecewise smooth approximation of the matrices involved in a standard finite element
Drzisga, Daniel   +2 more
openaire   +3 more sources

On subordination conditions for systems of minimal di erential operators

open access: yesСовременная математика: Фундаментальные направления
In this paper, we provide a review of results on apriori estimates for systems of minimal differential operators in the scale of spaces \(L^p(\Omega),\) where \(p\in[1,\infty].\) We present results on the characterization of elliptic and \(l ...
D. V. Limanskii, M. M. Malamud
doaj   +1 more source

Dependence of the Analytical Approximate Solution to the Van der Pol Equation on the Perturbation of a Moving Singular Point in the Complex Domain

open access: yesAxioms, 2023
This paper considers a theoretical substantiation of the influence of a perturbation of a moving singular point on the analytical approximate solution to the Van der Pol equation obtained earlier by the author.
Victor Orlov
doaj   +1 more source

Supplementary materials [code] to: The inaccuracy of sample-based confidence intervals to estimate a priori ones

open access: yes, 2020
Supplementary materials [code] to: Trafimow, D., & Uhalt, J. (2020). The inaccuracy of sample-based confidence intervals to estimate a priori ones. Methodology, 16(2), 112-126.
Trafimow, David, Uhalt, Joshua
core   +1 more source

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