Results 31 to 40 of about 430 (232)

Analysis of stochastic Lanczos quadrature for spectrum approximation

CoRR, 2021
The cumulative empirical spectral measure (CESM) $Φ[\mathbf{A}] : \mathbb{R} \to [0,1]$ of a $n\times n$ symmetric matrix $\mathbf{A}$ is defined as the fraction of eigenvalues of $\mathbf{A}$ less than a given threshold, i.e., $Φ[\mathbf{A}](x) := \sum_{i=1}^{n} \frac{1}{n} {\large\unicode{x1D7D9}}[ λ_i[\mathbf{A}]\leq x]$.
Tyler Chen, Thomas Trogdon, Shashanka Ubaru   +2 more
openaire   +4 more sources

Internal Resonance Mismatch‐Controlled Dissipative Bistability Collapse in Coupled Micromechanical Oscillators

Advanced Science, EarlyView.
This paper reveals internal resonance mismatch‐controlled dissipative bistability collapse in a coupled micromechanical resonator. Tuning δIR changes both internal‐mode amplitude and phase‐dependent feedback. For negative mismatch, Duffing bistability survives.
Jianlin Chen, Xin Zhou, Takashiro Tsukamoto, Nan Wang, Shuji Tanaka   +4 more
wiley   +1 more source

Multi‐Dimensional Physical‐Layer Security via Digitally Mediated Space–Time Modulation

Advanced Science, EarlyView.
Digitally mediated space–time modulation moves radiation control beyond hardware‐bound switching. Multiple information‐bearing and masking waveforms are jointly synthesized at baseband and coherently coupled to simple periodic time modulation, enabling programmable, independently directed multi‐beam radiation without increasing switching‐state ...
Kejin Chen, Heng Mao, Feng Yang, Gengbo Wu, Lei Zhang, Yikai Chen, Shi‐Wei Qu, Jun Hu, Shiwen Yang   +8 more
wiley   +1 more source

Approximate Representation of One Mixed Problem Solution Pertaining to Heat Conduction Theory Using Special Functions

Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика, 2009
Using a special psi-function the paper presents an exact and approximate (with an error evaluation) solutions of the mixed problem pertaining to one-dimensional heat conduction equation. An advantage of the obtained approximate formula is its comparative
P. G. Lasy, I. N. Meleshko
doaj  

Numerical approximation of one phase quadrature domains [PDF]

Numerical Methods for Partial Differential Equations, 2013
AbstractIn this work, we present two numerical schemes for a free boundary problem that is called one phase quadrature domain. In the first method, using the properties of a given free boundary problem, we derive a method that leads us to a fast iterative solver. The iteration procedure is adapted to work in the case when topology changes.
Bazarganzadeh, Mahmoudreza, Bozorgnia, Farid   +1 more
openaire   +4 more sources

PLXDC2 siRNA‐Mediated Intervention Attenuates Microglial Senescence Through cGAS‐STING Signaling

Advanced Science, EarlyView.
PLXDC2 was identified as a microglial target in Parkinson's disease through human and mouse single‐cell analyses. Ferritin‐armed biomimetic nanovesicles delivered PLXDC2 siRNA, deferoxamine, and CeO2 nanoparticles across the blood–brain barrier, reducing cGAS‐STING activation, iron burden, oxidative stress, and senescence in microglia, thereby ...
Heyue Lu, Zitian Zheng, Feiran Wang, Huanhuan Luo, Fei Ju, Yucheng Zhu, Zheng Zhou, Jie Sun, Zhenghui Qiu, Xiang Luo, Zhongzheng Jia, Jianquan Wang, Hongjie Huang, Bo Zhang   +13 more
wiley   +1 more source

Customized Itinerant Frequency Combs by Cascaded Nonlinear Effects

Advanced Science, EarlyView.
A cascaded third‐order nonlinear system generates an itinerant frequency comb with the comb center frequency decoupled from the cavity resonance. This enables arbitrary spectral scaling, flexible spacing adjustments, and real‐time central‐frequency engineering, allowing comb splicing and subdivision. The resulting versatility and reconfigurability open
Yi Wang, Yulong Liu, Zeji Li, Wenyan Wang, Sihan Wang, Cheng Wang, Jingwei Zhou, Jie‐Qiao Liao, Tiefu Li   +8 more
wiley   +1 more source

Quadrature formulas from rational approximations

IMA Journal of Numerical Analysis
Abstract It is shown that quadrature formulas in many different applications can be derived from rational approximation of the Cauchy transform of a weight function. Since rational approximation is now a routine technology, this provides an easy new method to derive all kinds of quadrature formulas as well as fundamental insight into ...
Andrew Horning, Lloyd N. Trefethen
openaire   +2 more sources

Longitudinal Awake Mouse Brain Imaging Using Functional Ultrasound and Functional Ultrasound Localization Microscopy

Advanced Science, EarlyView.
Awake longitudinal multimodal ultrasound imaging integrates functional ultrasound (fUS), ultrasound localization microscopy (ULM), and functional ULM (fULM) to characterize cerebrovascular function, microvascular architecture, and flow dynamics within the same animals over time.
Zhe Huang, Yike Wang, Matthew R. Lowerison, Yue Xu, Murong Yi, Bing‐Ze Lin, YiRang Shin, Nathiya Vaithiyalingam Chandra Sekaran, Daniel A. Llano, Pengfei Song   +9 more
wiley   +1 more source

On the Degree of Approximation of Certain Quadrature Formulas

The Annals of Mathematical Statistics, 1933
By A. L. O'TooLT National Research Fellotw. If f(xJbe a continuous function of period 27r, and if the interval under consideration, say the interval from 0 to 2 ri, be divided into m equal parts by the m+1 points xj=2i;rr4MI/,1 2i , ,m, then the trigonometric sum of the nh order coinciding in value with f4r) at the mn + I points i , or the ...
openaire   +3 more sources