Results 151 to 160 of about 217,226 (371)

Numerical PDE solvers outperform neural PDE solvers

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 ...
Chatain, Patrick, Rizvi-Martel, Michael, Rabusseau, Guillaume, Oberman, Adam   +3 more
openaire   +2 more sources

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Construction of Pickering Double Emulsions Based on Xanthan Gum/Lysozyme Nanoparticles: Structure, Stability, and Co-Encapsulation of Epigallocatechin Gallate and β-Carotene

Foods
The low stability of water-in-oil-in-water (W1/O/W2) double emulsions greatly limits their applications. Therefore, in this study, W1/O/W2 Pickering double emulsions (PDEs) were prepared by a two-step emulsification method using polyglycerol ...
Yongpeng Yin, Denglin Luo, Lala Li, Xingguo Li, Mengyao Kang, Bakht Ramin Shah, Xianling Wei, Wei Xu   +7 more
doaj   +1 more source

Integration of PDEs by differential geometric means [PDF]

, 2013
Naghmana Tehseen, G. E. Prince
openalex   +1 more source

The Combined Effects of Variable Viscosity and Thermal Conductivity of An Unsteady Casson Fluid Flow Along a Vertical Porous Channel With Convective Cooling Walls, Using the Bivariate Spectral Local Linearization Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo, Precious Sibanda, S. P. Goqo   +2 more
wiley   +1 more source

p-integrable solutions to multidimensional BSDEs and degenerate systems of PDEs with logarithmic nonlinearities [PDF]

, 2010
Khaled Bahlali, El Hassan Essaky, M. Hassani   +2 more
openalex   +1 more source

Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo, Delfina Gómez, Maria‐Eugenia Pérez‐Martínez   +2 more
wiley   +1 more source

Solving nonlinear elliptic partial differential equations in 2D using oscillatory radial basis functions collocation method

Partial Differential Equations in Applied Mathematics
Oscillatory radial basis functions collocation method (ORBF-CM) has been proven to be an effective meshless numerical method for solving various linear elliptic partial differential equations (PDEs). In general, solving nonlinear PDEs is a daunting task.
T. Dangal, A.R. Lamichhane, B. Khatri Ghimire   +2 more
doaj   +1 more source

Removable sets for homogeneous linear PDE in Carnot groups [PDF]

, 2013
Vasilis Chousionis, Jeremy T. Tyson
openalex   +1 more source

Paediatric Acute Generalised and Localised Exanthematous Pustulosis: A Systematic Review

JEADV Clinical Practice, EarlyView.
Miranda K. Branyiczky, Megan Lowe, Eric McMullen, Shireen Dumont, Narachai Julanon, Vincent Piguet, Cathryn Sibbald   +6 more
wiley   +1 more source