Results 31 to 40 of about 2,711 (86)
A New Orthogonal Geomagnetic Coordinate System: The Generalized Eccentric Dipole
Journal of Geophysical Research: Space Physics, Volume 131, Issue 4, April 2026.Abstract The study of near‐Earth plasma environment relies heavily on accurate geomagnetic coordinate systems, mainly because the plasma motion is controlled by the E×B $\boldsymbol{E}\times \boldsymbol{B}$ drift and thus is constrained by the structure of the magnetic field.
Antoine Resseguier +2 more
wiley +1 more source
The L$L$‐polynomials of van der Geer–van der Vlugt curves in characteristic 2
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract The van der Geer–van der Vlugt curves form a class of Artin–Schreier coverings of the projective line over finite fields. We provide an explicit formula for their L$L$‐polynomials in characteristic 2, expressed in terms of characters of maximal abelian subgroups of the associated Heisenberg groups.
Tetsushi Ito +2 more
wiley +1 more source
On the $16$-rank of class groups of $\mathbb{Q}(\sqrt{-2p})$ for primes $p \equiv 1 \bmod 4$
, 2017 We use Vinogradov's method to prove equidistribution of a spin symbol governing the $16$-rank of class groups of quadratic number fields $\mathbb{Q}(\sqrt{-2p})$, where $p \equiv 1 \bmod 4$ is a prime.Comment: 16 ...
Koymans, Peter, Milovic, Djordjo
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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 +3 more
wiley +1 more source
Advances 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
Formulas for the arithmetic geometric mean of curves of genus 3
, 2004 The arithmetic geometric mean algorithm for calculation of elliptic integrals of the first type was introduced by Gauss. The analog algorithm for Abelian integrals of genus 2 was introduced by Richelot (1837) and Humbert (1901).
Lehavi, D., Ritzenthaler, C.
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Journal 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
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
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Reduced Integration‐Based Stabilization for Virtual Elements
Proceedings in Applied Mathematics and Mechanics, 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 +4 more
wiley +1 more source
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