Results 121 to 130 of about 36,394 (307)

Numerical PDE solvers outperform neural PDE solvers

CoRR
We present DeepFDM, a differentiable finite-difference framework for learning spatially varying coefficients in time-dependent partial differential equations (PDEs). By embedding a classical forward-Euler discretization into a convolutional architecture, DeepFDM enforces stability and first-order convergence via CFL-compliant coefficient ...
Patrick Chatain, Michael Rizvi-Martel, Guillaume Rabusseau, Adam Oberman   +3 more
openaire   +2 more sources

PDE-PRESERVING PROPERTIES [PDF]

Journal of the Korean Mathematical Society, 2005
A continuous linear operator \(T\) on the space of entire functions in \(d\) variables is called PDE-preserving for a given set \(\mathbb{P}\subseteq\mathbb{C}[\xi_1,\ldots,\xi_d]\) of polynomials if \(T\ker P(D)\subseteq P(D)\) for all \(P\in\mathbb P\), where \(P(D)\) is the differential operator obtained by replacing each variable \(\xi_j\) by ...
openaire   +1 more source

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, Emilio Perucca, Samuel F. Berkovic, Piero Perucca   +3 more
wiley   +1 more source

Stability Evaluation and Parametric Optimization of Coal‐Concrete Composite Bearing Systems Under Mine‐Water‐Induced Deterioration: Experiments and FEINN Analysis

Energy Science &Engineering, EarlyView.
Mine‐water immersion tests reveal pronounced coal weakening (vs. minor concrete degradation), identifying coal pillars as the stability‐limiting component in composite dams. A coupled FEINN framework quantifies extreme‐pressure stability and ranks multi‐parameter designs via a normalized multi‐indicator scheme, enabling optimized dam configuration for ...
He Wen, Hongchuan Dai, Guixin Zhang, Pengzhe Li, Tong Yang, Cang Gong, Renbo Gao   +6 more
wiley   +1 more source

The homogeneous balance of undetermined coefficients method and its application

Open Mathematics, 2016
The homogeneous balance of undetermined coefficients method is firstly proposed to solve such nonlinear partial differential equations (PDEs), the balance numbers of which are not positive integers.
Wei Yi, He Xin-Dang, Yang Xiao-Feng
doaj   +1 more source

On Spectral Properties of Certain Semiregular Systems of PDEs with Polynomial Coefficients [PDF]

This chapter is a survey of some recent results obtained with Marcello Malagutti, concerning asymptotic properties and semi-clustering properties of certain systems of PDEs with polynomial coefficients that contain, as particular examples, some models ...
Alberto Parmeggiani
core   +1 more source

Donkwa Enriched With Goron‐Tula (Azanza garckeana) Modulates Sexual Behavior and Activity of Enzymes Linked With Erectile Dysfunction in High‐Fat Diets/ Streptozotocin‐Induced (STZ/HFD) Diabetic Rats

Food Chemistry International, EarlyView.
(A) Mount number, (B) mount latency, (C) intromission number, and (D) intromission latency are the parameters of sexual behavior. Met = metformin. D100 = 100 Donkwa. D90G10 = 90% Donkwa + 10% Goron‐Tula. D85G15 = 85% Donkwa + 15% Goron‐Tula. D80G20 = 80% Donkwa + 20% Goron‐Tula. The mean ± standard error of the mean (SEM) expressed the results. *Values
O. T. Mamukuyomi, O. S. Ijarotimi, A. A. Badejo   +2 more
wiley   +1 more source

Compact Local IRBF and Domain Decomposition Method for solving PDEs using a Distributed termination detection based parallel algorithm

, 2013
Compact Local Integrated Radial Basis Function (CLIRBF) methods based on Cartesian grids can be effective numerical methods for solving partial differential equations (PDEs) for fluid flow problems.
Hoang-Trieu, T.-T., Mai-Duy, N., C.-D. Tran, N. Mai-Duy, T. Tran-Cong, Pham-Sy, N., N. Pham-Sy, Tran-Cong, T., T.-T. Hoang-Trieu, Tran, C.-D.   +9 more
core   +1 more source

Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid

International Journal for Numerical Methods in Fluids, EarlyView.
This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
wiley   +1 more source

KAM for PDEs

, 2016
In the last years much progress has been achieved in the theory of quasi-periodic solutions of PDEs, that we shall call in a broad sense “KAM theory for PDEs”.
Berti, Massimiliano
core   +1 more source