Results 71 to 80 of about 173,975,381 (346)

Physics-based surrogate modeling of parameterized PDEs for optimization and uncertainty analysis [PDF]

, 2002
This paper presents physics-based surrogate modeling algorithms for systems governed by parameterized partial differential equations (PDEs) commonly encountered in design optimization and uncertainty analysis.
Prasanth Nair, Nair, P.B.
core   +2 more sources

Trivariate Spectral Collocation Approach for the Numerical Solution of Three-Dimensional Elliptic Partial Differential Equations

Mathematics, 2022
This article is concerned with the numerical solution of three-dimensional elliptic partial differential equations (PDEs) using the trivariate spectral collocation approach based on the Kronecker tensor product.
Musawenkhosi Patson Mkhatshwa, Melusi Khumalo   +1 more
doaj   +1 more source

Field Solutions of Parametric PDEs [PDF]

, 2021
We consider mesh based approaches for training neural network to produce field predictions to parametric partial differential equations (PDEs). This is in contrast to current approaches for ‘neural PDE solvers’ that employ collocation approaches to make ...
Ganapathysubramanian, Baskar, Joshi, Ameya, Hegde, Chinmay, Khara, Biswajit, Balu, Aditya, Krishnamurthy, Adarsh, Sarkar, Soumik   +6 more
core  

Astrocytes Coordinate Neurovascular Coupling During Prolonged Sensory Demand via AQP4/TRPA1/BEST1/D‐Serine Signaling

Advanced Science, EarlyView.
Neuronal activation leads to astrocytic transient volume changes, activating transient receptor potential ankyrin 1 (TRPA1) channels, leading to Ca2+ influx. Activation of TRPA1 causes the release of D‐serine through BEST1. Finally, the augmented extracellular levels of D‐serine boost neuronal activity by binding GluN1‐containing NMDARs, leading to CBV
Kayoung Han, Minwoo Wendy Jang, Taeyoung Park, Ki Jung Kim, Victor James Drew, Sunpil Kim, Tai Young Kim, Mingu Gordon Park, Myeongju Kim, Seung Won Chung, Minah Suh, C. Justin Lee   +11 more
wiley   +1 more source

Optimized technique and dynamical behaviors of fractional Lax and Caudrey–Dodd–Gibbon models modelized by the Caputo fractional derivative

Partial Differential Equations in Applied Mathematics
The presented paper aims to investigate, examine, and analyze the nonlinear time-fractional evolution partial differential equations (TFNE-PDEs) in the sense of Caputo essential in numerous nonlinear wave propagation phenomena.
Tareq Eriqat, Moa’ath N. Oqielat, Rania Saadeh, Ahmad El-Ajou, Ahmad Qazza, Mohammed Abu Saleem   +5 more
doaj   +1 more source

LLMs as Representation Generators for Gradient‐Free Scientific Optimization: A Case Study in Battery Fast Charging

Advanced Science, EarlyView.
Large language models serve as representation generators for gradient‐free scientific optimization. Two complementary approaches produce executable battery‐charging policies either directly or through LLM‐designed neural representations coupled to Bayesian optimization.
Ge Lei, Ferran Brosa Planella, Sterling G. Baird, Samuel J. Cooper   +3 more
wiley   +1 more source

Time-Frequency Analysis and PDE's

, 2008
We study the action on modulation spaces of Fourier multipliers with symbols $e^{imu(xi)}$, for real-valued functions $mu$ having unbounded second derivatives. We show that if $mu$ satisfies the usual symbol estimates of order $alphageq2$, or if $mu$ is a positively homogeneous function of degree $alpha$, the corresponding Fourier multiplier is ...
openaire   +5 more sources

Data‐Driven and Physics‐Informed Modeling Perspectives for Soft Manipulators: From SINDy to Hybrid Intelligence

Advanced Science, EarlyView.
This Perspective charts the modeling landscape for soft manipulators, spanning sparse system identification, neural dynamics, physics‐informed models and hybrid intelligence. We examine how physics, data, sensing, adaptation and control can assume complementary roles within this landscape, and provide a framework for selecting modeling approaches ...
Wenbo Hui, Yunyi Wang, Teng Zhang, Yang Chen, Min Pan   +4 more
wiley   +1 more source

Accelerating High‐Fidelity Airfoil Design via Physics‐Informed Video Diffusion Model

Advanced Science, EarlyView.
Physics‐informed video diffusion enables rapid inverse aerodynamic design by mapping target lift‐to‐drag response to airfoil geometries and full‐field flow distributions. Trained on 53 400 DNS samples, the model achieves over 90% fidelity with ∼30 s inference, while experimentally realized propeller designs demonstrate a practical pathway from ...
Yifeng Ai, Yijia Guo, Hongfu Zhang, Lei Zhou, Tiejun Huang, Weiqiu Chen, Xuhui He, Peng Guo, C. W. Lim, Lei Ma   +9 more
wiley   +1 more source

Equivalent transformations, bifurcations and exact solutions to a class of variable-coefficient PDE

Nuclear Physics B, 2020
In this paper, the equivalent transformations (ETs) of the generalized variable-coefficient KdV (vc-KdV) types of equations are constructed, so these variable-coefficient partial differential equations (vc-PDEs) are transformed into constant-coefficient ...
Hanze Liu, Lijun Zhang, Xuexia Li, Lina Chang   +3 more
doaj   +1 more source