Results 61 to 70 of about 13,240 (282)
Fractal and FractionalIn this paper, the finite-approximate controllability for a class of fractional composite relaxation equations with different nonlocal conditions is discussed.
Yixing Liang, Zhenbin Fan, Gang Li
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Schwarz Methods for Nonlocal Problems
Journal of Peridynamics and Nonlocal ModelingAbstract The first domain decomposition methods for partial differential equations were already developed in 1870 by H. A. Schwarz. Here we consider a nonlocal Dirichlet problem with variable coefficients, where a nonlocal diffusion operator is used.
Matthias Schuster +2 more
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Using density functional theory to describe slowly varying fluctuations at finite temperatures : local magnetic moments in Gd and the ‘not so local’ moments of Ni [PDF]
, 2014 We briefly describe the density functional theory (DFT)-based 'disordered local moment' (DLM) picture for magnetism at finite temperatures. It shows how relatively slowly fluctuating local moments can emerge from the interacting electrons of many ...
Ernst, A. (Arthur) +2 more
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Advanced Intelligent Discovery, EarlyView.Deep learning‐based denoising models are applied to DNA data storage systems to enhance error reduction and data fidelity. By integrating DnCNN with DNA sequence encoding methods, the study demonstrates significant improvements in image quality and correction of substitution errors, revealing a promising path toward robust and efficient DNA‐based ...
Seongjun Seo +5 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 We study the boundary-value problem for a linear system of differential equations written in the form of differential-operator equations $$ aD_t u(t)+bBu(t)=f(t) $$ with nonlocal boundary conditions at $t$.
Dmitriy V Kornienko
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Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition
Nonlinear Analysis, 2021 In this study, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical-type Dirichlet boundary condition and integral-type nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
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ON A DIRICHLET PROBLEM FOR A NONLOCAL POLYHARMONIC EQUATION
Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics", 2021 The paper studies the solvability conditions for one class of boundary value problems for a nonlocal polyharmonic equation in the unit ball with Dirichlet conditions on the boundary generated by a certain orthogonal matrix. The existence and uniqueness of the solution to the posed Dirichlet problem are investigated and the Green's function is ...
B.Kh. Turmetov, V.V. Karachik
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A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
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Mathematical Modelling and Analysis, 2020 In the paper, the stability and convergence of difference schemes approximating semilinear parabolic equation with a nonlocal condition are considered.
Regimantas Čiupaila +2 more
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Spikes for the two-dimensional Gierer-Meinhardt system: The weak coupling case
, 2001 In this paper, we rigorously prove the existence and stability of multiple-peaked patterns for the singularly perturbed Gierer-Meinhardt system in a two dimensional domain which are far from spatial homogeneity.
Winter, M, Wei, J
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