Results 161 to 170 of about 85,369,012 (181)

Neural Networks as Smooth Priors for Inverse Problems for PDEs

Journal of Computational Mathematics and Data Science, 2021
In this paper we discuss the potential of using artificial neural networks as smooth priors in classical methods for inverse problems for PDEs. Exploring that neural networks are global and smooth function approximators, the idea is that neural networks ...
Jens Berg, Kaj Nystrom
exaly   +2 more sources

A Collage-Based Approach to Solving Inverse Problems for Second-Order Nonlinear Parabolic PDEs

Journal of Mathematical Analysis and Applications, 2013
The essence of collage-based methods for solving inverse problems is to bound the approximation error above by a more readily minimizable distance. The original collage method applies to ordinary differential equations (ODEs) and makes use of Banach's ...
Davide La Torre, H Kunze
exaly   +2 more sources

Stochastic Algorithms for Inverse Problems Involving PDEs and Many Measurements

SIAM Journal of Scientific Computing, 2014
Inverse problems involving systems of partial differential equations (PDEs) can be very expensive to solve numerically. This is so especially when many experiments, involving different combinations of sources and receivers, are employed in order to ...
Uri M. Ascher, Kees Van Den Doel, Farbod Roosta-Khorasani   +2 more
exaly   +2 more sources

Remarks on Control and Inverse Problems for PDEs

SeMA Journal
This paper deals with recent results and open questions on the control and parameter identification of systems governed by PDEs. Among them, we find a few parabolic and hyperbolic equations, sometimes in the framework of a free-boundary problem.
Enrique Fernández-Cara
exaly   +2 more sources

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ACM Transactions on Mathematical Software, 2021
Umberto Villa, Noémi Petra, Omar Ghattas   +2 more
exaly  

Inverse Problems Involving PDEs With Applications to Imaging

Industrial and Applied Mathematics, 2020
Taufiquar Khan
exaly  

Estimates on the Generalization Error of Physics-Informed Neural Networks for Approximating a Class of Inverse Problems for PDEs

IMA Journal of Numerical Analysis, 2022
Siddhartha Mishra, Roberto Molinaro
exaly  

PDEs in the Inverse Problem of Dynamics

IFIP Advances in Information and Communication Technology, 2003
Mira Anisiu
exaly  

Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs

SIAM Journal of Scientific Computing, 2020
Georg Stadler, Ilona Ambartsumyan, Stefano Zampini   +2 more
exaly