Results 151 to 160 of about 2,048 (231)

Inverse source problems in thermoelasticity

In thermoelasticity, a parabolic equation for the temperature and a hyperbolic equation for the displacement of a body are coupled. In this research summary, an overview of the uniqueness results on inverse source problems in this setting is provided.In ...
Torebek, BerikboleditorUGent8020031341468710030321020000-0002-2354-237758CB7C6A-654A-11E9-8DA5-0B6A5607D3EF, Ruzhansky, MichaeleditorWE168020029013460000-0001-8633-55708B63EA9E-C5C8-11E8-8987-A2685607D3EF, Van Bockstal, KarelWE160020041042668020008579790000-0002-1898-7611165072B4-F0EE-11E1-A9DE-61C894A0A6B4   +2 more
core  

Lie Symmetry Methods for Multidimensional Linear, Parabolic PDES and Diffusions [PDF]

In this paper we introduce methods based upon Lie symmetry analysis for the construction of explicit fundamental solutions of multidimensional parabolic PDEs.
Mark Craddock, Kelly A. Lennox
core  

Learning variable-order time fractional diffusion equations using Physics-Informed Neural Networks. [PDF]

PLoS One
Ren L, Jin S.
europepmc   +1 more source

Implementing physics-informed neural networks with deep learning for differential equations. [PDF]

Front Artif Intell
Emmert-Streib F, Tripathi S, Farea A, Holzinger A.   +3 more
europepmc   +1 more source

Multilevel Monte Carlo for Bayesian Inverse Problems

, 2014
Introduction In recent years, various methods have been developed for solving parametric operator equations, focusing on the estimation of parameters given measurements of the parametric solution, subject to a stochastic observation error model.
Gantner, Robert N., Schwab, Christoph, Schillings, Claudia   +2 more
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Fast automated adjoints for spectral PDE solvers. [PDF]

Proc Natl Acad Sci U S A
Skene CS, Burns KJ.
europepmc   +1 more source

Calderón problem for nonlocal viscous wave equations: Unique determination of linear and nonlinear perturbations. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat
Zimmermann P.
europepmc   +1 more source

Fast Numerical Solvers for Parameter Identification Problems in Mathematical Biology. [PDF]

J Sci Comput
Benková K, Pearson JW, Ptashnyk M.
europepmc   +1 more source

Data-driven, ML-assisted approaches to problem well-posedness. [PDF]

PNAS Nexus
Bertalan T, Kevrekidis GA, Koronaki ED, Mishra S, Rebrova E, Kevrekidis IG.   +5 more
europepmc   +1 more source

Parameter identification for PDEs using sparse interior data and a recurrent neural network. [PDF]

Sci Rep
Long J, Khaliq A, Furati KM.
europepmc   +1 more source