Results 91 to 100 of about 3,218 (198)

Approximation of eigenvalues of some unbounded self-adjoint discrete Jacobi matrices by eigenvalues of finite submatrices [PDF]

Opuscula Mathematica, 2007
We investigate the problem of approximation of eigenvalues of some self-adjoint operator in the Hilbert space \(l^2(\mathbb{N})\) by eigenvalues of suitably chosen principal finite submatrices of an infinite Jacobi matrix that defines the operator ...
Maria Malejki
doaj  

A Thermodynamic Framework for Turing‐Type Instabilities in Porous Media: Part I Theory

Geochemistry, Geophysics, Geosystems, Volume 27, Issue 3, March 2026.
Abstract Pattern formation in geological materials is commonly described using analogies to Turing‐type reaction–diffusion systems, yet a unifying thermodynamic explanation remains elusive. Here we develop a multiscale, thermodynamically consistent framework for pattern‐forming instabilities in porous media undergoing coupled thermo–hydro–mechanical ...
Klaus Regenauer‐Lieb, Manman Hu, Qingpei Sun, Chong Liu, Zhennan Zhu, Victor Calo   +5 more
wiley   +1 more source

Combined Matrix of a Tridiagonal Toeplitz Matrix

Axioms
In this work, combined matrices of tridiagonal Toeplitz matrices are studied. The combined matrix is known as the Relative Gain Array in control theory.
Begoña Cantó, Rafael Cantó, Ana Maria Urbano   +2 more
doaj   +1 more source

The Climate Modeling Alliance Atmosphere Dynamical Core: Concepts, Numerics, and Scaling

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 3, March 2026.
Abstract This paper presents the dynamical core of the Climate Modeling Alliance (CliMA) atmosphere model, designed for efficient simulation of a wide range of atmospheric flows across scales. The core uses the nonhydrostatic equations of motion for a deep atmosphere, discretized with a hybrid approach that combines a spectral element method (SEM) in ...
Dennis Yatunin, Simon Byrne, Charles Kawczynski, Sriharsha Kandala, Gabriele Bozzola, Akshay Sridhar, Zhaoyi Shen, Anna Jaruga, Julia Sloan, Jia He, Daniel Zhengyu Huang, Valeria Barra, Ray Chew, Anudhyan Boral, Yi‐fan Chen, Oswald Knoth, Paul Ullrich, Cheikh Mbengue, Tapio Schneider   +18 more
wiley   +1 more source

The Spectrum of a Periodic Complex Jacobi Matrix Revisited

Journal of Approximation Theory, 2000
Let \(G\) be a complex periodic Jacobi matrix of period \(k\), i.e. \[ G=\begin{pmatrix} b^{(0)}&a^{(1)}&0&\cdots\\ a^{(1)}&b^{(1)}&a^{(2)}&\cdots\\ 0&a^{(2)}&b^{(2)}&\cdots\\ \vdots&\vdots&\vdots&\ddots\end{pmatrix}, \] where \(a^{(n)}=a^{(j)}\), \(b^{(n)}=b^{(j)}\) for \(n\equiv j\pmod k\). This matrix defines a bounded linear operator on \(\ell^2\).
openaire   +1 more source

Scattering theory for difference equations with operator coefficients

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher, Luis Silva, Boris Vertman, Monika Winklmeier   +3 more
wiley   +1 more source

Some Algorithms for Solving Third-Order Boundary Value Problems Using Novel Operational Matrices of Generalized Jacobi Polynomials

Abstract and Applied Analysis, 2015
The main aim of this research article is to develop two new algorithms for handling linear and nonlinear third-order boundary value problems. For this purpose, a novel operational matrix of derivatives of certain nonsymmetric generalized Jacobi ...
W. M. Abd-Elhameed
doaj   +1 more source

Moments of the free Jacobi process: A matrix approach

Canadian Mathematical Bulletin
AbstractWe compute the large size limit of the moment formula derived in [14] for the Hermitian Jacobi process at fixed time. Our computations rely on the polynomial division algorithm which allows to obtain cancellations similar to those obtained in [3, Lemma 3].
Nizar Demni, Tarek Hamdi
openaire   +2 more sources

On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
wiley   +1 more source

A study on almost matrix summability of Fourier-Jacobi series [PDF]

Surveys in Mathematics and its Applications, 2011
In this paper, a quite new theorem on almost summability of Fourier-Jacobi series has been established. Our theorem extends and generalizes all previously known results of this line of work.
Hare Krishna Nigam , Ajay Sharma
doaj