Advances in Inverse Problems for Partial Differential Equations

Dinh-Liem Nguyen, Kansas State University, Manhattan, KS.Loc Hoang Nguyen, University of North Carolina at Charlotte, NC.Thi-Phong Nguyen, New Jersey Institute of Technology, Newark, NJ.

• U. G. Abdulla and S. Seif, Discretization and convergence of the EIT optimal control problem in Sobolev spaces with dominating mixed smoothnessT. T. Le, Global reconstruction of initial conditions of nonlinear parabolic equations via the Carleman-contraction methodI. Harris, Regularization of the factorization method with applications to inverse scatteringT. Le, D.-L. Nguyen, V. Nguyen, and T. Truong, Sampling type method combined with deep learning for inverse scattering with one incident waveD.-L. Nguyen and T. Truong, Fast numerical solutions to direct and inverse scattering for bi-anisotropic periodic Maxwell's equationL. H. Nguyen and H. T.T. Vu, Reconstructing a space-dependent source term via the quasi-reversibility methodQ. Tran, Convergence analysis of Nedelec finite element approximations for a stationary Maxwell's systemM. V. Klibanov, K. V. Golubnichiy, and A. V. Nikitin, Quasi-reversibility method and neural network machine learning for forecasting of stock option pricesV. A. Khoa, M. V. Klibanov, W. G. Powell, and L. C. Nguyen, Numerical reconstruction for 3D nonlinear SAR imaging via a version of the convexification methodV. A. Khoa, M. T. N. Truong, I. Hogan, and R. Williams, Initial state reconstruction on graphsL. Besabe and D. Onofrei, Active control of scalar Helmholtz fields in the presence of known impenetrable obstacles