Results 71 to 80 of about 601 (183)

Inner‐Layer Asymptotics in Partially Perforated Domains: Coupling Across Flat and Oscillating Interfaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 3353-3384, 15 March 2026.
ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
wiley   +1 more source

Weighted Optimal Quadrature Formulas in Sobolev Space and Their Applications

Algorithms
The optimization of computational algorithms is one of the main problems of computational mathematics. This optimization is well demonstrated by the example of the theory of quadrature and cubature formulas.
Kholmat Shadimetov, Khojiakbar Usmanov
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Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley   +1 more source

Carleson–Sobolev measures for weighted Bloch spaces

Journal of Functional Analysis, 2010
Let \(B_n\) denote the unit ball in \( \mathbb C^n.\) The class of all homomorphic functions on \(B_n\) will be denoted by \(H(B_n).\) Let \(f \in H(B_n)\) have the homogeneous expansion \(f(z)=\sum_{k=1}^\infty f_k(z).\) For each non-negative integer \(j\), we define \({\mathcal R}^j f(z)=\sum_{k=1}^\infty k^jf_k(z).\) For each real parameter \(\alpha\
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Breaking Barriers in High‐Order Spectral Methods: The Intrinsic Matrix Approach

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT This paper introduces a unified framework in Hilbert spaces for applying high‐order differential operators in bounded domains using Chebyshev, Legendre, and Fourier spectral methods. By exploiting the banded structure of differentiation matrices and embedding boundary conditions directly into the operator through a scaling law relating ...
Osvaldo Guimarães, José R. C. Piqueira
wiley   +1 more source

Sampling in a weighted Sobolev space

Comptes Rendus. Mathématique, 2012
We show that functions f in some weighted Sobolev space are completely determined by time-frequency samples {f(tn)}n∈Z∪{fˆ(λk)}k∈Z along appropriate slowly increasing sequences {tn}n∈Z and {λn}n∈Z tending to ±∞ as n→±∞.
Acala, Nestor G., Reyes, Noli N.
openaire   +2 more sources

The Existence of Solutions to the Nonhomogeneous A-Harmonic Equations with Variable Exponent

Abstract and Applied Analysis, 2014
We first discuss the existence and uniqueness of weak solution for the obstacle problem of the nonhomogeneous A-harmonic equation with variable exponent, and then we obtain the existence of the solutions of the equation d⋆A(x,dω)=B(x,dω) in the weighted ...
Haiyu Wen
doaj   +1 more source

Ghost effect from Boltzmann theory

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.
Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito, Yan Guo, Rossana Marra, Lei Wu   +3 more
wiley   +1 more source

On multipliers in weighted Sobolev spaces. Part I

Қарағанды университетінің хабаршысы. Математика сериясы, 2016
Let X, Y be Banach spaces whose elements are functions y : Ω → R. We say that a function z : Ω → R is apointwise multiplier on the pair (X, Y ), if T x = zx ∈ Y and the operator T : X → Y is bounded. M(X → Y )denotes the multiplier space on the pair (X,
L. Kussainova, A. Myrzagaliyeva
doaj