Results 211 to 220 of about 2,048 (231)
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Numerical Solution Of Inverse Problem For Elliptic Pdes
International Journal of Computer Mathematics, 2003This work is concerned with computing the solution of the following inverse problem: Finding u and on D such that: $$\nabla \cdot (\rho \nabla u) = 0,\quad \hbox{on}\ D;$$ $$u = g,\quad \hbox{on}\ \partial D;\qquad \rho u_n = f,\quad \hbox{on}\ \partial D;$$ $$\rho (x_0, y_0) = \rho_0,\quad \hbox{for a given point}\ (x_0, y_0) \in D$$ where f and g ...
Ali Sayfy, Sadia M. Makky
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Bi-level iterative regularization for inverse problems in nonlinear PDEs
Inverse ProblemsWe investigate the ill-posed inverse problem of recovering unknown spatially dependent parameters in nonlinear evolution partial differential equations (PDEs).
Tram Thi Ngoc Nguyen
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ON AN INVERSE PROBLEM IN GROUP ANALYSIS OF PDE'S: LIE–REMARKABLE EQUATIONS
Waves and Stability in Continuous Media, 2006Within 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
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Deep Learning for PDE-based Inverse Problems
Oberwolfach ReportsWorkshop ...
Simon Arridge +2 more
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Solving inverse problems in nonlinear PDEs by recurrent neural networks
IEEE International Conference on Neural Networks, 2002A neural network approach for solving inverse problems in nonlinear partial differential equations (PDEs) is proposed, and a computer simulation based on this approach is described. The network is designed based on the differential difference equation (DDE) approximating the PDE.
Tadasu Uchiyama, Noboru Sonehara
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Completeness of the products of solutions of PDE and inverse problems
Inverse Problems, 1990The author discusses the characterisation problem in 3D inverse scattering theory, an inverse spectral problem, and an inverse problem for the wave equation.
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Geometric Methods in Inverse Problems and PDE Control
2004Foreword * Preface * On the construction of isospectral manifolds, Werner Ballman * Statistical stability and time-reversal imaging in random media, James G. Berryman, Liliana Borcea, George C. Papanicolaou, and Chrysoul Tsogka * A review of selected works on crack identification, Kurt Bryan and Michael S.
Croke, Christopher B. +3 more
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