Results 21 to 30 of about 2,673 (90)

First Moment of Hecke $L$-functions with quartic characters at the central point

, 2019
In this paper, we study the first moment of central values of Hecke $L$-functions associated with quartic characters.Comment: 11 ...
Gao, Peng, Zhao, Liangyi
core   +1 more source

Complete Solving for Explicit Evaluation of Gauss Sums in the Index 2 Case

, 2010
Let $p$ be a prime number, $q=p^f$ for some positive integer $f$, $N$ be a positive integer such that $\gcd(N,p)=1$, and let $\k$ be a primitive multiplicative character of order $N$ over finite field $\fq$.
B. C. Berndt, C. F. Gauss, H. Davenport, J. H. Lint Van, J. MacWilliams, J. Yang, Jing Yang, K. Ireland, K. Q. Feng, L. D. Baumert, L. D. Baumert, L. Stickelberger, LingLi Xia, M. Vlugt van der, O. D. Mbodj, P. Langevin, P. Meijer, R. J. McEliece, R. Lidl   +18 more
core   +1 more source

Exploring the Applicability of Chaotic Maps in Artificial Hummingbird Algorithm: From Algorithm Construction to Case Verification

Applied Computational Intelligence and Soft Computing, Volume 2026, Issue 1, 2026.
A research gap exists concerning how different chaotic mappings influence the applicability of metaheuristic algorithms, along with inherent limitations of the traditional artificial hummingbird algorithm (AHA). Specifically, blind spots in population coverage and vulnerability to local optima stemming from random initialization.
Wenli Ma, Xin Sun, Qiaoling Du, Said El Kafhali   +3 more
wiley   +1 more source

Reduced Integration‐Based Stabilization for Virtual Elements

PAMM, Volume 25, Issue 4, December 2025.
ABSTRACT Stabilization techniques in combination with reduced integration are often employed in numerical methods to address problems of locking while reducing computational costs. In finite elements, concepts such as enhanced assumed strain (EAS) methods are usually employed in combination with stabilization techniques to tackle certain locking ...
Njomza Pacolli, Jannick Kehls, Mahmoud Sesa, Stefanie Reese, Hagen Holthusen   +4 more
wiley   +1 more source

Challenges in Automatic Differentiation and Numerical Integration in Physics‐Informed Neural Networks Modelling

International Journal for Numerical Methods in Engineering, Volume 126, Issue 20, 30 October 2025.
ABSTRACT In this paper, we numerically examine the precision challenges that emerge in automatic differentiation and numerical integration in various tasks now tackled by physics‐informed neural networks (PINNs). Specifically, we illustrate how ill‐posed problems or inaccurately computed functions can cause serious precision issues in differentiation ...
Josef Daněk, Jan Pospíšil
wiley   +1 more source

Symmetrized Poisson Reconstruction

Computer Graphics Forum, Volume 44, Issue 5, August 2025.
Abstract Many common approaches for reconstructing surfaces from point clouds leverage normal information to fit an implicit function to the points. Normals typically play two roles: the direction provides a planar approximation to the surface and the sign distinguishes inside from outside.
M. Kohlbrenner, H. Liu, M. Alexa, M. Kazhdan   +3 more
wiley   +1 more source

Influence of Form and Structural Features of Open‐Cell Hybrid Foam on the Remanent Magnetic Scanning

Advanced Engineering Materials, Volume 27, Issue 12, June 2025.
Simulations using an equivalent model are performed to improve the understanding of remanent magnetic scanning of hybrid foam samples for coating thickness estimation. The model allows to study the influence of isolated geometrical features such as layer thickness, boundary effects, as well as effects due to the statistical nature of the foams, which ...
Bashar Ibrahim, Michael M. Becker, Francesco Kunz, Anne Jung, Sarah C. L. Fischer   +4 more
wiley   +1 more source

Large values of $L(1,\chi)$ for $k$-th order characters $\chi$ and applications to character sums

, 2015
For any given integer $k\geq 2$ we prove the existence of infinitely many $q$ and characters $ \chi\pmod q$ of order $k$, such that $|L(1,\chi)|\geq (e^{\gamma}+o(1))\log\log q$. We believe this bound to be best possible.
Lamzouri, Youness
core   +2 more sources

Monolithic Newton‐Multigrid Finite Element Methods for the Simulation of Thixoviscoplastic Flows

International Journal for Numerical Methods in Fluids, Volume 97, Issue 4, Page 565-604, April 2025.
ABSTRACT In this paper, we shall be concerned with the development, application, and numerical analysis of the monolithic Newton‐Multigrid finite element method (FEM) to simulate thixoviscoplastic (TVP) flows. We demonstrate the importance of robustness and efficiency of Newton‐Multigrid FEM solver for obtaining accurate solutions.
Naheed Begum, Abderrahim Ouazzi, Stefan Turek   +2 more
wiley   +1 more source

Variational approach to multimode nonlinear optical fibers

Nanophotonics, Volume 14, Issue 6, Page 805-813, April 2025.
Abstract We analyze the spatiotemporal solitary waves of a graded‐index multimode optical fiber with a parabolic transverse index profile. Using the nonpolynomial Schrödinger equation approach, we derive an effective one‐dimensional Lagrangian associated with the Laguerre–Gauss modes with a generic radial mode number p and azimuthal index m.
Francesco Lorenzi, Luca Salasnich
wiley   +1 more source