Zero‐curvature subconformal structures and dispersionless integrability in dimension five
Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.Abstract We extend the recent paradigm “Integrability via Geometry” from dimensions 3 and 4 to higher dimensions, relating dispersionless integrability of partial differential equations to curvature constraints of the background geometry. We observe that in higher dimensions on any solution manifold, the symbol defines a vector distribution equipped ...
Boris Kruglikov, Omid Makhmali
wiley +1 more source
One level density of low-lying zeros of quadratic and quartic Hecke $L$-functions
, 2019 In this paper, we prove some one level density results for the low-lying zeros of famliies of quadratic and quartic Hecke $L$-functions of the Gaussian field.
Gao, Peng, Zhao, Liangyi
core
Numerical Methods for Partial Differential Equations, Volume 40, Issue 6, November 2024.Abstract In this article, we present a formally fourth‐order accurate hybrid‐variable (HV) method for the Euler equations in the context of method of lines. The HV method seeks numerical approximations to both cell averages and nodal solutions and evolves them in time simultaneously; and it is proved in previous work that these methods are ...
Xianyi Zeng
wiley +1 more source
Variational formulation and monolithic solution of computational homogenization methods
International Journal for Numerical Methods in Engineering, Volume 125, Issue 20, 30 October 2024.Abstract In this contribution, we derive a consistent variational formulation for computational homogenization methods and show that traditional FE 2$$ {}^2 $$ and IGA 2$$ {}^2 $$ approaches are special discretization and solution techniques of this most general framework.
Christian Hesch +2 more
wiley +1 more source
On the efficient evaluation of the azimuthal Fourier components of the Green's function for Helmholtz's equation in cylindrical coordinates. [PDF]
J Comput Phys, 2022 Garritano J +3 more
europepmc +1 more source
On the Mordell-Weil lattice of y 2 = x 3 + b x + t 3 n + 1 in characteristic 3. [PDF]
Res Number Theory, 2022 Leterrier G.
europepmc +1 more source
Simultaneous Momentum and Position Measurement and the Instrumental Weyl-Heisenberg Group. [PDF]
Entropy (Basel), 2023 Jackson CS, Caves CM.
europepmc +1 more source
The Classification of Branched Willmore Spheres in the $3$-Sphere and the $4$-Sphere
, 2019 We extend the classification of Robert Bryant of Willmore spheres in $S^3$ to variational branched Willmore spheres $S^3$ and show that they are inverse stereographic projections of complete minimal surfaces with finite total curvature in $\mathbb{R}^3 ...
Michelat, Alexis, Rivière, Tristan
core
Perspectives on mathematics competitions and their relationship with mathematics education. [PDF]
ZDM, 2022 de Losada MF, Taylor PJ.
europepmc +1 more source
AutoMH: Automatically Create Evolutionary Metaheuristic Algorithms Using Reinforcement Learning. [PDF]
Entropy (Basel), 2022 Almonacid B.
europepmc +1 more source