Results 81 to 90 of about 34,271 (206)

One‐level densities in families of Grössencharakters associated to CM elliptic curves

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
wiley   +1 more source

An Optimized Block Hybrid Spectral Simple Iteration Methods for Solving Nonlinear Evolution Equations

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.
ABSTRACT This study presents a new optimized block hybrid method and spectral simple iteration method (OBHM‐SSIM) for solving nonlinear evolution equations. In this method, we employed a combination of the spectral collocation method in space and the optimized block hybrid method in time, along with a simple iteration scheme to linearize the equations.
Salma Ahmedai   +4 more
wiley   +1 more source

A numerical solution of time-fractional coupled Korteweg-de Vries equation by using spectral collection method

open access: yesAin Shams Engineering Journal, 2018
In this paper, we present a numerical method proficient for solving a system of time–fractional partial differential equations. For this sake, we use spectral collection method based on shifted Chebyshev polynomials in space and finite difference method ...
Basim Albuohimad   +2 more
doaj   +1 more source

Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations

open access: yesInternational 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

Fourier Series for Functions Related to Chebyshev Polynomials of the First Kind and Lucas Polynomials

open access: yesMathematics, 2018
In this paper, we derive Fourier series expansions for functions related to sums of finite products of Chebyshev polynomials of the first kind and of Lucas polynomials. From the Fourier series expansions, we are able to express those two kinds of sums of
Taekyun Kim   +3 more
doaj   +1 more source

Robust designs for series estimation [PDF]

open access: yes
We discuss optimal design problems for a popular method of series estimation in regression problems. Commonly used design criteria are based on the generalized variance of the estimates of the coefficients in a truncated series expansion and do not take ...
Dette, Holger, Wiens, Douglas P.
core  

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