Results 61 to 70 of about 43,948 (194)
Transfer learning for deep neural network-based partial differential equations solving
Advances in Aerodynamics, 2021 Deep neural networks (DNNs) have recently shown great potential in solving partial differential equations (PDEs). The success of neural network-based surrogate models is attributed to their ability to learn a rich set of solution-related features ...
Xinhai Chen +7 more
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Energies, 2023 The design and implementation of efficient photovoltaic (PV) plants and wind farms require a precise analysis and definition of specifics in the region of interest. Reliable Artificial Intelligence (AI) models can recognize long-term spatial and temporal
Ladislav Zjavka
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Precision therapies for genetic epilepsies in 2025: Promises and pitfalls
Epilepsia Open, EarlyView.Abstract By targeting the underlying etiology, precision therapies offer an exciting paradigm shift to improve the stagnant outcomes of drug‐resistant epilepsies, including developmental and epileptic encephalopathies. Unlike conventional antiseizure medications (ASMs) which only treat the symptoms (seizures) but have no effect on the underlying ...
Shuyu Wang +3 more
wiley +1 more source
Nonlinear Hydroelastic Waves beneath a Floating Ice Sheet in a Fluid of Finite Depth
Abstract and Applied Analysis, 2013 The nonlinear hydroelastic waves propagating beneath an infinite ice sheet floating on an inviscid fluid of finite depth are investigated analytically. The approximate series solutions for the velocity potential and the wave surface elevation are derived,
Ping Wang, Zunshui Cheng
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Mathematical Biosciences and Engineering, 2010 A new approach to the problem of characterizing the dynamic behavior of nonlinear biosystems in the presence of model uncertainty using the notion of slow invariant manifold is proposed. The problem of interest is addressed within the context of singular
Nikolaos Kazantzis, Vasiliki Kazantzi
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Mirror Maps, Modular Relations and Hypergeometric Series II
, 1995 As a continuation of \lianyaufour, we study modular properties of the periods, the mirror maps and Yukawa couplings for multi-moduli Calabi-Yau varieties.
Bong H. Lian +11 more
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International Journal for Numerical Methods in Fluids, EarlyView.This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime +3 more
wiley +1 more source
Homotopy Analysis and Pade´ Methods for Solving Two Nonlinear Equations
Journal of Mathematical Extension, 2011 In this paper, we are giving analytic approximate solutions to nonlinear PDEs using the Homotopy Analysis Method (HAM) and Homotopy Pad´e Method(HPad´eM).
A. Golbabai, H. Kheiri, D. Ahmadian
doaj
, 2012 In classical continuum physics, a wave is a mechanical disturbance. Whether the disturbance is stationary or traveling and whether it is caused by the motion of atoms and molecules or the vibration of a lattice structure, a wave can be understood as a ...
Christov, Ivan C.
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A solution space for a system of null-state partial differential equations 1
, 2014 In this first of four articles, we study a homogeneous system of $2N+3$ linear partial differential equations (PDEs) in $2N$ variables that arises in conformal field theory (CFT) and multiple Schramm-Lowner evolution (SLE).
Flores, Steven M., Kleban, Peter
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