Results 101 to 110 of about 5,322 (250)

Adjoint-based multidisciplinary drag reduction optimization of over-the-wing engine configuration

Kongqi donglixue xuebao
An important development for the next generation of civil aircraft is the significant reduction of fuel consumption through the integration of high-bypass-ratio (BPR) engines.
Fei Qin, Ao Zhang, Chuang Yu, Xian Chen, Yisheng Gao   +4 more
doaj   +1 more source

A Simulation Study on Spatial Exponential Decay of Perturbations in a Two‐Dimensional Wave Equation With Optimal Boundary/Line Control

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Recent results have shown that domain‐uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one‐dimensional domains. This domain‐uniform stabilizability and detectability can be achieved only if the control domain is distributed over the whole spatial domain such ...
Benedikt Oppeneiger
wiley   +1 more source

dCG—differentiable connected geometries for AI-compatible multi-domain optimization and inverse design

Machine Learning: Science and Technology
In the domain of geometry and topology optimization, discovering geometries that optimally satisfy specific problem criteria is a complex challenge in both engineering and scientific research.
Alexander Luce, Daniel Grünbaum, Florian Marquardt   +2 more
doaj   +1 more source

On the additive image of zeroth persistent homology

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer, Magnus B. Botnan, Steffen Oppermann, Johan Steen   +3 more
wiley   +1 more source

Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley   +1 more source

Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

Communications on Pure and Applied Mathematics, Volume 79, Issue 10, Page 2291-2369, October 2026.
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous, Cédric Gerbelot, Vanessa Piccolo   +2 more
wiley   +1 more source

A multi-objective permittivity optimization for object classification at the speed of light

Machine Learning: Science and Technology
This paper presents a numerical demonstration of the use of the adjoint method for permittivity optimization to design a dielectric medium capable of object classification at the speed of light.
Ergun Simsek, Sumya H Oishe
doaj   +1 more source

Multiecho Fat‐Water Spiral MR Elastography With Distributed Encoding for Simultaneously Imaging Brain and Skull Displacement

Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1617-1628, October 2026.
ABSTRACT Purpose To introduce a novel multiecho, multishot spiral MR elastography (MRE) sequence to image brain and skull displacement simultaneously using a joint fat‐water image reconstruction and distributed motion encoding. Methods Multiple echo times were implemented into a high‐resolution multishot spiral MRE sequence to capture water‐based brain
Alexa M. Diano, Alex M. Cerjanic, Olivia M. Bailey, Mary K. Kramer, Joy Mojumder, Ruth J. Okamoto, Philip V. Bayly, Dzung L. Pham, Curtis L. Johnson   +8 more
wiley   +1 more source

Application of adjoint method to the evaluation of temporal and spatial variations of the eddy viscosity coefficient

Frontiers in Marine Science
This study investigated the temporal and spatial variations of the eddy viscosity coefficient (EVC) in an Ekman model using an adjoint method. The time- and depth-dependent EVC was represented as a Fourier series, which consisted of four summations.
Ting Zhang
doaj   +1 more source

BART Streams: Real‐Time Reconstruction Using a Modular Framework for Pipeline Processing

Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1534-1544, October 2026.
ABSTRACT Purpose To create modular solutions for interactive real‐time MRI using reconstruction algorithms implemented in BART. Methods A new protocol for streaming of multidimensional arrays is presented and integrated into BART. The new functionality is demonstrated using examples for cardiac interactive real‐time MRI based on radial FLASH, where ...
Philip Schaten, Moritz Blumenthal, Bernhard Rapp, Christina Unterberg‐Buchwald, Martin Uecker   +4 more
wiley   +1 more source