Results 141 to 150 of about 373 (214)

Edge‐Based Discretizations on Triangulations in Any Dimension, With Special Attention to Four‐Dimensional Space

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 98, Issue 10, Page 1143-1164, October 2026.
This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro   +2 more
wiley   +1 more source

Grating‐Lens Empowered Metafiber for Large‐Angle Light Collection With 3D Nanoprinted Structures

open access: yesLaser &Photonics Reviews, Volume 20, Issue 20, 21 October 2026.
A grating‐lens‐based Metafiber enables efficient light coupling into single‐mode fibers at large incidence angles. By combining diffraction and focusing on the fiber facet using a 3D nanoprinted holographic structure, light is selectively coupled only at specific angles while suppressing unwanted signals. This approach achieves high coupling efficiency
Jun Sun, Markus A. Schmidt
wiley   +1 more source

A Randomized Algorithm for Simultaneously Diagonalizing Symmetric Matrices by Congruence

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.
ABSTRACT A family of symmetric matrices A1,…,Ad$$ {A}_1,\dots, {A}_d $$ is simultaneously diagonalizable by congruence (SDC), also called nonorthogonal joint diagonalization, if there is an invertible matrix X$$ X $$ such that every XTAkX$$ {X}^T{A}_kX $$ is diagonal. In this work, a novel randomized SDC (RSDC) algorithm is proposed that reduces SDC to
Haoze He, Daniel Kressner
wiley   +1 more source

Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal. [PDF]

open access: yesRes Math Sci
Fink A   +3 more
europepmc   +1 more source

Input–Output Finite‐Time Stability and Stabilization of Nonautonomous Nonlinear Quadratic Systems via State and Output Feedback

open access: yesInternational Journal of Robust and Nonlinear Control, Volume 36, Issue 15, Page 7088-7101, October 2026.
ABSTRACT This paper presents novel results regarding the input–output finite‐time stability (IO‐FTS) of nonlinear quadratic systems (NLQSs), a class of dynamical models particularly useful for the study of robotic systems, biochemical reaction networks, and other processes of interest to the applied sciences.
Alessio Merola   +5 more
wiley   +1 more source

Quantifying Water Ice in Regolith Mixtures via Infrared (1.2–2.5 μm) Reflectance Model Parametrization

open access: yesJournal of Geophysical Research: Planets, Volume 131, Issue 10, October 2026.
Abstract Water ice deposits occur on inner solar system bodies in sunlit and shadowed terrains. We develop approaches to remotely determine the mixing mode with regolith (areal vs. intimate), ice grain size, and abundance that reveal processes of ice formation, emplacement, and evolution.
V. V. Kachmar, B. L. Ehlmann
wiley   +1 more source

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