Results 21 to 30 of about 86,380,618 (176)

Stochastic PDEs with multiscale structure [PDF]

, 2012
We study the spatial homogenisation of parabolic linear stochastic PDEs exhibiting a two-scale structure both at the level of the linear operator and at the level of the Gaussian driving noise.
Martin Hairer, Hairer, Martin, Kelly, David (David T. B.), David Kelly, Kelly, David   +4 more
core   +1 more source

Numerical methods for boundary value problems on random domains [PDF]

, 2014
In this thesis, we consider the numerical solution of elliptic boundary value problems on random domains. The underlying domain is modelled via a random vector field which is given by its mean and its covariance.
Peters, Michael
core   +1 more source

Classical Bernoulli Type Free Boundary Problems [PDF]

, 2019
Free boundary problems deal with solving partial differential equations (PDEs) in a domain, a part of whose boundary is prior unknown; that portion of the boundary is called a free boundary. Free boundary problems are widely used in various applications.
Aryal, Ashok, Dr.
core   +1 more source

A second order convergent trial method for a free boundary problem in three dimensions [PDF]

, 2015
The present article is concerned with the solution of a generalized Bernoulli free boundary problem in three spatial dimensions. We parametrize the free boundary under consideration over the sphere and apply a trial method which updates the free boundary
Harbrecht, Helmut, Bugeanu, Monica
core   +1 more source

NDAWL-PINN: a new non-dimensionalization and multi-task learning approach for efficient training of physics-informed neural networks to solve the shallow water equations

Engineering Applications of Computational Fluid Mechanics
The exploration of deep learning methodologies has recently generated significant interest in the use of Physics-Informed Neural Networks (PINNs) to address complex physical problems governed by partial differential equations (PDEs).
Xin Qi, Dawei Zhang, Fan Wang, Wuxia Bi, Mingda Lu   +4 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

PDE methods for free boundary problems in financial mathematics [Elektronisk resurs]

, 2008
We consider different aspects of free boundary problems that have financial applications. Papers I–III deal with American option pricing, in which case the boundary is called the early exercise boundary and separates the region where to hold the option ...
Gomes, Diogo,, Arnarson, Teitur,, Shahgholian, Henrik,   +2 more
core   +7 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

ReLink: Reliable Deep Learning for Microscopic Motion Tracking

Advanced Science, EarlyView.
ReLink enables reliable trajectory linking in single‐particle tracking by integrating physics‐informed motion statistics with confidence‐based adaptive filtering. Across diverse simulated and experimental conditions, ReLink robustly reconstructs trajectories and preserves the fidelity of downstream analyses, enabling accurate characterization of ...
Yuan Jiang, Xiaochen Feng, Hongda Wei, Hao Sha, Hongpeng Wang, Min Zhang, Sanyang Han, Yongbing Zhang   +7 more
wiley   +1 more source

Experimental and numerical study of liquid–liquid systems using the Euler–Lagrange/VOF approach

AIChE Journal, EarlyView.
Abstract Achieving stable liquid–liquid dispersions with controlled droplet size remains a challenge due to the complex interplay of dispersed phase viscosity, hydrodynamic conditions and interfacial interactions. This work presents a validated computational framework for droplet breakage and coalescence in liquid–liquid dispersions with variable ...
Pavel Krýsa, Vojtěch Koutník, Simon Kuhn, Miroslav Šoóš   +3 more
wiley   +1 more source