Results 71 to 80 of about 580 (184)
Data‐Based Refinement of Parametric Uncertainty Descriptions
ABSTRACT We consider dynamical systems with a linear fractional representation involving parametric uncertainties which are either constant or varying with time. Given a finite‐horizon input‐state or input‐output trajectory of such a system, we propose a numerical scheme which iteratively improves the available knowledge about the involved constant ...
Tobias Holicki, Carsten W. Scherer
wiley +1 more source
An Effective Physics‐Informed Neural Operator Framework for Predicting Wavefields
Abstract Solving the wave equation is fundamental for many geophysical applications. However, numerical solutions of the Helmholtz equation face significant computational and memory challenges. Therefore, we introduce a physics‐informed convolutional neural operator (CNO) (PICNO) to solve the Helmholtz equation efficiently.
X. Ma, T. Alkhalifah
wiley +1 more source
Discrepancy of arithmetic progressions in boxes and convex bodies
Abstract The combinatorial discrepancy of arithmetic progressions inside [N]:={1,…,N}$[N]:= \lbrace 1, \ldots, N\rbrace$ is the smallest integer D$D$ for which [N]$[N]$ can be colored with two colors so that any arithmetic progression in [N]$[N]$ contains at most D$D$ more elements from one color class than the other.
Lily Li, Aleksandar Nikolov
wiley +1 more source
Duality for Evolutionary Equations With Applications to Null Controllability
ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley +1 more source
Pointwise multipliers in Hardy-Orlicz spaces, and interpolation
We study multipliers of Hardy-Orlicz spaces ${\mathcal H}_{\Phi}$ which are strictly contained between $\bigcup_{p>0}H^p$ and so-called "big" Hardy-Orlicz spaces. Big Hardy-Orlicz spaces, carrying an algebraic structure, are equal to their multiplier algebra, whereas in classical Hardy spaces $H^p$, the multipliers reduce to $H^{\infty}$.
openaire +3 more sources
ABSTRACT This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning‐based lifting approach is proposed to approximate nonlinear dynamical systems with linear parameter‐varying (LPV) state‐space models in higher‐dimensional spaces while simultaneously ...
Sourav Sinha, Mazen Farhood
wiley +1 more source
Abstract In contrast to previous approaches, new reconstructions of changes in global mean surface temperature and global mean sea level (GMSL) include large variability in GMSL throughout the Pleistocene. Here we assess these reconstructions from an energy balance perspective by using them to force a global carbon cycle model in different scenarios ...
Peter Köhler, Peter U. Clark
wiley +1 more source
Breaking Barriers in High‐Order Spectral Methods: The Intrinsic Matrix Approach
ABSTRACT This paper introduces a unified framework in Hilbert spaces for applying high‐order differential operators in bounded domains using Chebyshev, Legendre, and Fourier spectral methods. By exploiting the banded structure of differentiation matrices and embedding boundary conditions directly into the operator through a scaling law relating ...
Osvaldo Guimarães, José R. C. Piqueira
wiley +1 more source
A solar spectral‐splitting photovoltaic–thermal collector integrating a hybrid liquid‐solid optical filter is experimentally demonstrated. Selective optical filtering enables thermal–electrical decoupling, achieving elevated fluid temperatures while maintaining reduced PV operating temperatures.
Botho Lehmann +2 more
wiley +1 more source
Memory‐Reduced Convolutional Neural Network for Fast Phase Hologram Generation
This article reports a lightweight convolutional neural network framework using INT8 quantization to efficiently generate 3D computer‐generated holograms from a single 2D image. The quantized model reduces memory usage and computational cost, accelerates inference speed, and maintains high output quality, enabling real‐time holographic display on low ...
Chenliang Chang +6 more
wiley +1 more source

