Elliptic PDE learning is provably data-efficient. [PDF]
Proc Natl Acad Sci U S A, 2023 Boullé N, Halikias D, Townsend A.
europepmc +1 more source
Singular Electromagnetics: From Phase Singularities to Optical Skyrmions and Beyond
Advanced Physics Research, EarlyView.Singular electromagnetics/optics studies multidimensional topological defects of electromagnetic fields (also known as optical singularities), including phase and polarization singularities, 3D singularities (e.g., optical skyrmions, merons, hopfions, knots, links, and Möbius strips), and even higher‐dimensional singularities.
Jie Yang +3 more
wiley +1 more source
Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations [PDF]
, 2015 Zhiqiang Cai +2 more
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Conformal Field Theory, Solitons, and Elliptic Calogero-Sutherland Models. [PDF]
Commun Math PhysBerntson BK, Langmann E, Lenells J.
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Modulational Instability and Dynamical Growth Blockade in the Nonlinear Hatano–Nelson Model
Advanced Physics Research, EarlyView.The nonlinear Hatano–Nelson model under periodic boundary conditions is investigated, revealing a novel growth blockade phenomenon triggered by the modulational instability of nonlinear plane waves. This effect, characterized by the abrupt halt of norm growth, arises from self‐induced disorder, marking a departure from the convective motion observed in
Stefano Longhi
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Analysis of a nonoverlapping domain decomposition method for elliptic partial differential equations
, 1997 J. R. Rice, E. A. Vavalis, Daoqi Yang
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Efficient numerical methods for elliptic and parabolic partial differential equations [PDF]
, 2015 Balázs Kovács
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Nuclei discovered new practical insights via optimized soliton-like pulse analysis in a space fractional-time beta-derivatives equations. [PDF]
Sci RepFendzi-Donfack E +10 more
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Recent Advances in Dielectric Chiral Metasurfaces
Advanced Physics Research, EarlyView.This review article mainly focuses on the recent advances in dielectric chiral metasurfaces, which exhibit remarkable optical chirality. Many new physical conceptions will be introduced during the fast development of the dielectric chiral metasurfaces, such as chiral quasi‐BIC, chiral guided modes, and nonlocal metasurfaces.
Zhipeng Hu +6 more
wiley +1 more source