Zobrazeno 1 - 10
of 228
pro vyhledávání: '"Wang, Xiang‐Sheng"'
In this paper, we study a class of orthogonal polynomials defined by a three-term recurrence relation with periodic coefficients. We derive explicit formulas for the generating function, the associated continued fraction, the orthogonality measure of
Externí odkaz:
http://arxiv.org/abs/2412.08166
In this survey we summarize the current state of known orthogonality relations for the $q$ and $q^{-1}$-symmetric and dual subfamilies of the Askey--Wilson polynomials in the $q$-Askey scheme. These polynomials are the continuous dual $q$ and $q^{-1}
Externí odkaz:
http://arxiv.org/abs/2411.09040
In this paper we propose and analyze new efficient sparse approximate inverse (SPAI) smoothers for solving the two-dimensional (2D) and three-dimensional (3D) Laplacian linear system with geometric multigrid methods. Local Fourier analysis shows that
Externí odkaz:
http://arxiv.org/abs/2206.05543
Publikováno v:
In Journal of Differential Equations 15 January 2025 415:365-382
Fire blight is a bacterial plant disease that affects apple and pear trees. We present a mathematical model for its spread in an orchard during bloom. This is a PDE-ODE coupled system, consisting of two semilinear PDEs for the pathogen, coupled to a
Externí odkaz:
http://arxiv.org/abs/2201.10696
Inverse source problems arise often in real-world applications, such as localizing unknown groundwater contaminant sources. Being different from Tikhonov regularization, the quasi-boundary value method has been proposed and analyzed as an effective w
Externí odkaz:
http://arxiv.org/abs/2201.02687
In this paper, we present explicit and computable error bounds for the asymptotic expansions of the Hermite polynomials with Plancherel--Rotach scale. Three cases, depending on whether the scaled variable lies in the outer or oscillatory interval, or
Externí odkaz:
http://arxiv.org/abs/2109.01054
Autor:
Ghimire, Srijana, Wang, Xiang-Sheng
In this work, we conduct a rigorous analysis on the dynamics of a predator-prey model with cooperative predation. From the root classification of an algebraic equation, we derive existence criteria of the positive equilibria. By Jacobian matrix and c
Externí odkaz:
http://arxiv.org/abs/2108.09565
In this paper, we propose a direct parallel-in-time (PinT) algorithm for time-dependent problems with first- or second-order derivative. We use a second-order boundary value method as the time integrator that leads to a tridiagonal time discretizatio
Externí odkaz:
http://arxiv.org/abs/2108.01716
In this paper, we derive an explicit formula for the bivariate Lagrange basis polynomials of a general set of checkerboard nodes. This formula generalizes existing results of bivariate Lagrange basis polynomials at the Padua nodes, Chebyshev nodes, M
Externí odkaz:
http://arxiv.org/abs/2107.06380