Results 211 to 220 of about 35,710 (245)

Control of flow behavior in complex fluids using automatic differentiation. [PDF]

open access: yesProc Natl Acad Sci U S A
Alhashim MG, Hausknecht K, Brenner MP.
europepmc   +1 more source

Estimates on the generalization error of physics-informed neural networks for approximating a class of inverse problems for PDEs

IMA Journal of Numerical Analysis, 2020
Physics-informed neural networks (PINNs) have recently been very successfully applied for efficiently approximating inverse problems for partial differential equations (PDEs).
Siddhartha Mishra, R. Molinaro
semanticscholar   +1 more source

Some direct and inverse source problems in nonlinear evolutionary PDEs with Volterra operators

Inverse Problems, 2022
This paper deals with direct and inverse source problems for parabolic or byperbolic PDEs containing nonlinear Volterra operators (including the variable order time-fractional derivatives).
M. Slodicka
semanticscholar   +1 more source

The Gradient Descent Method for the Convexification to Solve Boundary Value Problems of Quasi-Linear PDEs and a Coefficient Inverse Problem

Journal of Scientific Computing, 2021
We study the global convergence of the gradient descent method of the minimization of strictly convex functionals on an open and bounded set of a Hilbert space.
T. Le, L. Nguyen
semanticscholar   +1 more source

CoCoGen: Physically-Consistent and Conditioned Score-based Generative Models for Forward and Inverse Problems

SIAM Journal on Scientific Computing, 2023
Recent advances in generative artificial intelligence have had a significant impact on diverse domains spanning computer vision, natural language processing, and drug discovery.
Christian Jacobsen   +2 more
semanticscholar   +1 more source

ON AN INVERSE PROBLEM IN GROUP ANALYSIS OF PDE'S: LIE–REMARKABLE EQUATIONS [PDF]

open access: possibleWaves and Stability in Continuous Media, 2006
Within the framework of inverse Lie problems we give some non–trivial examples of Lie–remarkable equations, i.e., classes of partial differential equations that are in one–to–one correspondence with their Lie point symmetries. In particular, we prove that the second order Monge-Ampere equation in two independent variables is Lie–remarkable.
F. OLIVERI   +2 more
openaire   +4 more sources

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