Results 41 to 50 of about 116,861 (304)
A New Radial Basis Function Approach Based on Hermite Expansion with Respect to the Shape Parameter
Mathematics, 2019 Owing to its high accuracy, the radial basis function (RBF) is gaining popularity in function interpolation and for solving partial differential equations (PDEs).
Saleh Abobakur Bawazeer +2 more
doaj +1 more source
DPM: A deep learning PDE augmentation method (with application to large-eddy simulation) [PDF]
Journal of Computational Physics, 2019 Machine learning for scientific applications faces the challenge of limited data. We propose a framework that leverages a priori known physics to reduce overfitting when training on relatively small datasets.
J. Freund +2 more
semanticscholar +1 more source
Image smoothing via adaptive fourth-order partial differential equation model
The Journal of Engineering, 2019 To overcome the staircase effects and simultaneously avoid edge blurring, here the authors proposed a novel algorithm of adaptive fourth-order partial differential equation (PDE) for image smoothing.
Na Wang +5 more
doaj +1 more source
Programmed DNA elimination in the parasitic nematode Ascaris.
PLoS Pathogens, 2023 In most organisms, the whole genome is maintained throughout the life span. However, exceptions occur in some species where the genome is reduced during development through a process known as programmed DNA elimination (PDE).
Brandon Estrem, Jianbin Wang
doaj +1 more source
Metabolites, 2017 Metabolomic techniques are powerful tools for investigating organism-environment interactions. Metabolite profiles have the potential to identify exposure or toxicity before populations are disrupted and can provide useful information for environmental ...
Katherine J. Jeppe +8 more
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Consensus Control of Leaderless and Leader-Following Coupled PDE-ODEs Modeled Multi-Agent Systems
Mathematics, 2022 This paper discusses consensus control of nonlinear coupled parabolic PDE-ODE-based multi-agent systems (PDE-ODEMASs). First, a consensus controller of leaderless PDE-ODEMASs is designed.
Xu Ni +4 more
doaj +1 more source
Physics-informed neural networks for PDE problems: a comprehensive review
Artificial Intelligence ReviewAs AI for Science continues to grow, Physics-informed neural networks (PINNs) have emerged as a transformative approach within the realm of scientific computing and deep learning, offering a robust and flexible framework for solving partial differential ...
Kuang Luo +7 more
semanticscholar +1 more source
Symmetry Problems for PDE [PDF]
Symmetry, 2021 The results of this paper allow one to derive several results of general interest: to prove the Schiffer’s conjecture, to solve the Pompeiu problem, to prove two symmetry results in harmonic analysis and to give a new method for solving an old symmetry problem.
openaire +1 more source
SurgeriesBackground: Structured titanium (ST) cages are designed to enhance osseointegration and fusion in lumbar interbody procedures. However, clinical and radiological outcomes following TLIF using ST cages—particularly with or without adjacent-level dynamic ...
Sonja Häckel +6 more
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