Results 31 to 40 of about 3,218 (198)
ELEMENTS: A high-order finite element library in C++
SoftwareX, 2019 We discuss the creation and implementation of a generalized library, named ELEMENTS, of mathematical functions for supporting a very broad range of element types including: linear, quadratic, and cubic serendipity elements in 2D and 3D; high-order ...
Jacob L. Moore +2 more
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Open Physics, 2022 The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi +4 more
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Matrix valued Jacobi polynomials
Bulletin des Sciences Mathématiques, 2003 The author finds a matrix valued weight for Jacobi orthogonal polynomials, which satisfy an explicit differential equation of Jabobi type. An application to spherical functions is discussed. The Bochner problem of finding all families of orthogonal polynomials that are eigenfunctions of some second order differential operator is considered.
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A New Inverse Eigenvalue Problem for Jacobi Matrices and Corresponding Mass-Spring System
پژوهشهای ریاضی, 2020 Introduction Many problems in sciences and engineering can be studied by mathematical models. These models are classified as direct problems and inverse problems.
Hanif Mirzaei
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Spectrum of Lyapunov exponents in non-smooth systems evaluated using orthogonal perturbation vectors
MATEC Web of Conferences, 2018 This paper covers application of the novel method of Lyapunov exponents (LEs) spectrum estimation in non smooth mechanical systems. In the presented method, LEs are obtained from a Poincaré map.
Balcerzak Marek +3 more
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Block Jacobi matrices and Titchmarsh-Weyl function [PDF]
Opuscula MathematicaWe collect some results and notions concerning generalizations for block Jacobi matrices of several concepts, which have been important for spectral studies of the simpler and better known scalar Jacobi case.
Marcin Moszyński, Grzegorz Świderski
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The Computational Solution of Generalized Inverse Eigenvalue Problem for Pseudo-Jacobi Matrix
Journal of MathematicsThis paper is concerned with two generalized inverse eigenvalue problems for a kind of pseudo-Jacobi matrix. From a non-Hermite matrix, an r×r Jacobi matrix, two distinct real eigenvalues, and part of the corresponding eigenvectors, an n×n pseudo-Jacobi ...
Fuxia Yi, Enhua Li
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ON MATRIX SUMMABILITY OF JACOBI SERIES
Tamkang Journal of Mathematics, 1999 In this paper a new theorem on Matrix Summability of Jacobi series is established This theorem is a generalization of several known and unknown results.
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Photon‐Sphere Modes in Curved Optical Microcavities: A Black‐Hole Analogue Laser
Advanced Science, EarlyView.An optical analogue of a Schwarzschild black hole is realized using curved microcavities that preserve light‐like geodesics. A new family of laser modes confined around the photon sphere is identified alongside conventional whispering‐gallery modes. Analytical theory, numerical simulations, and experiments reveal curvature‐induced confinement, enabling
Chenni Xu +9 more
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Inversion of a tridiagonal jacobi matrix
Linear Algebra and its Applications, 1994 The author develops a formula for the inverse of a general tridiagonal matrix in terms of principal minors.
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