Results 111 to 120 of about 37,100 (232)

A model-consistent data-driven computational strategy for PDE joint inversion problems

Journal of Computational Physics
The task of simultaneously reconstructing multiple physical coefficients in partial differential equations (PDEs) from observed data is ubiquitous in applications. In this work, we propose an integrated data-driven and model-based iterative reconstruction framework for such joint inversion problems where additional data on the unknown coefficients are ...
Kui Ren, Lu Zhang
openaire   +2 more sources

An Extended Krylov Subspace Method for Decoding Edge‐Based Compressed Images by Homogeneous Diffusion

Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.
ABSTRACT The heat equation is often used to inpaint dropped data in inpainting‐based lossy compression schemes. We propose an alternative way to numerically solve the heat equation by an extended Krylov subspace method. The method is very efficient with respect to the computation of the solution of the heat equation at large times.
Volker Grimm, Kevin Liang
wiley   +1 more source

A multi-layer neural network-based evaluation of MHD radiative heat transfer in Eyring–Powell fluid model

Heliyon
In the modern era, artificial intelligence (AI) has been applied as one of the transformative factors for scientific research in many fields that could provide new solutions to extremely complicated and complex physical models.
Muflih Alhazmi, Zahoor Shah, Muhammad Asif Zahoor Raja, Nafisa A. Albasheir, Maryam Jawaid   +4 more
doaj   +1 more source

Quasi second-order methods for PDE-constrained forward and inverse problems

, 2021
Zehnder, Jonas
openalex   +1 more source

Duo‐AttnOPNets: Advancing Global Operational Forecasting for Atmospheric Carbon Monoxide With AI‐Empowered 4D‐Var

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 2, February 2026.
Abstract The accuracy of global forecasting of atmospheric composition is essential for protecting public health and advancing climate research. Carbon monoxide (CO), a key pollutant with indirect greenhouse effects, requires timely and accurate prediction.
Judongyang Zhou, Fangxin Fang, Christopher C. Pain, Linfeng Li, Jie Zheng, Yanghua Wang, Ionel Michael Navon, Jiang Zhu   +7 more
wiley   +1 more source

Real‐Time Optimal Control of High‐Dimensional Parametrized Systems by Deep Learning‐Based Reduced Order Models

International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.
ABSTRACT Steering a system towards a desired target in a very short amount of time is a challenging task from a computational standpoint. Indeed, the intrinsically iterative nature of optimal control problems requires multiple simulations of the state of the physical system to be controlled. Moreover, the control action needs to be updated whenever the
Matteo Tomasetto, Andrea Manzoni, Francesco Braghin   +2 more
wiley   +1 more source

DISCRETE NON-STANDARD FORMULATION OF PDE INVERSE PROBLEMS

, 2023
Cyr-Séraphin Ngamouyih Moussata, Mahamat Saleh Daoussa Haggar, Deryl Nathan Bonazébi Yindoula, Benjamin Mampassi   +3 more
openalex   +2 more sources

A Bi-fidelity ensemble kalman method for PDE-constrained inverse problems in computational mechanics [PDF]

, 2021
Han Gao, Jian-Xun Wang
openalex   +1 more source

A mixed formulation of the Tikhonov regularization and its application to inverse PDE problems [PDF]

, 2018
Laurent Bourgeois, Arnaud Recoquillay
openalex   +1 more source

Deep Probabilistic Models for Forward and Inverse Problems in Parametric PDEs

arXiv.org, 2022
A. Vadeboncoeur, O. D. Akyildiz, Ieva Kazlauskaite, M. Girolami, F. Cirak   +4 more
semanticscholar   +1 more source