Results 41 to 50 of about 138,802 (98)

Mean values of cubic and quartic Dirichlet Characters [PDF]

open access: yes, 2020
We evaluate the average of cubic and quartic Dirichlet character sums with the modulus going up to a size comparable to the length of the individual sums.
Gao, Peng   +1 more
core   +1 more source

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

open access: yesApplied 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   +3 more
wiley   +1 more source

Virtual Joint Test for Beam Model of Shield Tunnel Lining: Based on Isogeometric Reissner–Mindlin Shell Model With Narrow Layer

open access: yesAdvances in Civil Engineering, Volume 2026, Issue 1, 2026.
To overcome the difficulties of empirical analogy, physical testing, and conventional finite element (FE) simulation in extracting joint stiffness for beam models of shield tunnel linings, we proposed an isogeometric (IG) Reissner–Mindlin (RM) shell model with a narrow layer.
Jingxu Chen   +4 more
wiley   +1 more source

Generalized p-adic Gauss Sums

open access: yes, 2016
In 2005 Blache studied certain generalized Gauss sums and established an analogue for them of Stickelberger\u27s congruence for classical Gauss sums over finite fields. We improve on Blache\u27s work in two ways: (i) simplify Blache\u27s proof and give a
Xhumari, Sandi
core   +1 more source

The Rain Intensity Formula of Xunxian Based on Minute Precipitation Data Interpolation Extension and Its Applicability

open access: yesAdvances in Meteorology, Volume 2026, Issue 1, 2026.
To address the issue of difficulty in calculating the formula for rainstorm intensity due to insufficient data duration, taking Xunxian as an example, 40 years of minute‐level precipitation data from six surrounding meteorological stations were utilized. Five mathematical and physical methods were applied to explore the extended interpolation of minute‐
Guifen Shi   +4 more
wiley   +1 more source

A Hybrid Power Mean Involving the Dedekind Sums and Cubic Gauss Sums

open access: yes, 2021
The main purpose of this paper is using analytic methods and the properties of the Dedekind sums to study one kind hybrid power mean calculating problem involving the Dedekind sums and cubic Gauss sum and give some interesting calculating formulae for ...
Yu Zhan, Jiayuan Hu, Qin Si
core   +1 more source

Trajectory Planning and Tracking With Multiobjective Optimization for Connected and Automated Vehicles at Expressway On‐Ramps

open access: yesJournal of Advanced Transportation, Volume 2026, Issue 1, 2026.
On‐ramp merging is a common expressway maneuver for connected and automated vehicles (CAVs), where trajectory planning and tracking control are central to avoiding collisions. However, existing studies rarely optimize the selection of merge start and end points and give limited attention to constraints from acceleration‐lane length. This study proposes
Zhibo Gao   +6 more
wiley   +1 more source

Radial Basis Function Collocation With L‐BFGS Optimization for Higher Order Initial Value Problems

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This paper describes a radial basis function collocation method that uses limited‐memory Broyden–Fletcher–Goldfarb–Shanno optimization to solve one‐dimensional ordinary differential initial value problems. Numerical tests include first‐order problems and manufactured fourth‐, sixth‐, and eighth‐order problems.
Nolf Shaker Al-Shimari   +1 more
wiley   +1 more source

A Semirefining Extrapolation Multigrid Method With Fourth‐Order Compact Schemes for 2D Nonlinear Elliptic Equations

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
A novel semirefining extrapolation nonlinear multigrid (SENMG) method is proposed for computing high‐accuracy numerical solutions of two‐dimensional (2D) nonlinear elliptic equations discretized by fourth‐order compact finite difference schemes.
Ming Li   +3 more
wiley   +1 more source

Explicit formulas for Hecke Gauss sums in quadratic number fields

open access: yes, 2010
We derive an explicit formula for Hecke Gauss sums of quadratic number fields. As an immediate consequence we obtain a quadratic reciprocity law in quadratic number fields which generalizes the classical one given by Hecke. The proofs use, apart from the
Boylan, Hatice   +3 more
core   +1 more source

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