Results 71 to 80 of about 180,252 (161)

Rational points on even‐dimensional Fermat cubics

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley   +1 more source

Exceptional Differential Polynomial Systems Formed by Simple Pseudo-Wronskians of Jacobi Polynomials and Their Infinite and Finite X-Orthogonal Reductions

Mathematics
The paper advances a new technique for constructing the exceptional differential polynomial systems (X-DPSs) and their infinite and finite orthogonal subsets.
Gregory Natanson
doaj   +1 more source

Long‐time asymptotics of a full soliton gas for the Camassa–Holm equation

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We investigate the long‐time asymptotics of a full soliton gas for the Camassa–Holm equation. The analysis starts from a pure‐soliton Riemann–Hilbert (RH) problem with 2N$2N$ poles and two distinct types of residue conditions. We prove that, as N→∞$N\rightarrow \infty$, this discrete RH problem converges to a limiting soliton gas RH problem ...
Dedi Yan, Xianguo Geng, Minxin Jia
wiley   +1 more source

Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations

Advances in Mathematical Physics, 2020
This paper is devoted to the numerical scheme for a class of fractional order integrodifferential equations by reproducing kernel interpolation collocation method with reproducing kernel function in the form of Jacobi polynomials.
Zhiyuan Li, Meichun Wang, Yulan Wang, Jing Pang   +3 more
doaj   +1 more source

A Geometric Multigrid Preconditioner for Discontinuous Galerkin Shifted Boundary Method

International Journal for Numerical Methods in Engineering, Volume 127, Issue 21, 15 November 2026.
ABSTRACT I introduce a geometric multigrid preconditioner for the Shifted Boundary Method (SBM) designed to solve PDEs on complex geometries. While the SBM simplifies mesh generation by using a nonconforming background grid, it often results in nonsymmetric linear systems, a complete analysis of which is missing from the literature, especially with ...
Michał Wichrowski
wiley   +1 more source

Fractional-Order Orthogonal Jacobi Function-Based Operational Approach for Multi-Term Diffusion-Wave Equations of Fractional Order

Fractal and Fractional
Solving fractional differential equations using spectral collocation methods based on classical orthogonal polynomials often leads to a reduced convergence rate due to the limited regularity of the solutions.
Amal Alshabanat, Mohamed A. Saker, Hanaa Moussa, Samer S. Ezz-Eldien   +3 more
doaj   +1 more source

Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations

International Journal of Mathematics and Mathematical Sciences, 2011
We extend a collocation method for solving a nonlinear ordinary differential equation (ODE) via Jacobi polynomials. To date, researchers usually use Chebyshev or Legendre collocation method for solving problems in
Ahmad Imani, Azim Aminataei, Ali Imani
doaj   +1 more source

Regularity Estimates for Fully Nonlinear Dead‐Core Problems With a Hamiltonian Term

Mathematische Nachrichten, Volume 299, Issue 11, Page 3243-3265, November 2026.
ABSTRACT In this paper, we present a problem involving fully nonlinear elliptic operators with Hamiltonian, which can present a singularity or degenerate as the gradient approaches the origin. The model studied here, allows the appearance of plateau zones, i.e., unknown regions of the domain in which the non‐negative solutions vanishes.
Rafael R. Costa, Ginaldo S. Sá
wiley   +1 more source

Some Identities on Bernoulli and Hermite Polynomials Associated with Jacobi Polynomials

Discrete Dynamics in Nature and Society, 2012
We investigate some identities on the Bernoulli and the Hermite polynomials arising from the orthogonality of Jacobi polynomials in the inner product space Pn.
Taekyun Kim, Dae San Kim, Dmitry V. Dolgy   +2 more
doaj   +1 more source

Cariñena polynomials are Jacobi polynomials

, 2009
first ...
Vignat, C., Lamberti, P. W.
openaire   +2 more sources