AWMA virtual seminar n°15

The speaker,  Dr  Fagueye Ndiaye is a mathematician from Cheikh Anta Diop University. She hold a PhD in Applied Mathematics from the Université Cheikh Anta Diop of Dakar, and a diploma of Inspector of Mathematics for Middle-Secondary Education from the École Normale Supérieure of Dakar (now FASTEF). Her current research interests are Localization Problems, Inverse Problems, Shape Optimization, Differential Equations, Nonlinear PDEs, Dirichlet-to-Neumann Operators. The methods and techniques I use for this research are nonlinear programming, solution existence, solution uniqueness and stability, variational formulation, techniques for solving Bessel equations, domain derivation, etc. She is the author of about ten papers in these fields, of which eight are published in international peer-reviewed journals and two are in the process of being submitted to international peer-reviewed journals. She is also the author of two papers on the teaching-learning of mathematics in the middle-secondary level.

She is currently an associate professor in the Mathematics Department of the Faculty of Science and Technology of Education and Training (FASTEF). She supervised many Master works of students at the end of their training at FASTEF. and 5 students in Master 2 in Numerical Analysis and I am currently co-supervising a PhD student, in the Mathematics Department of the Faculty of Science and Technology (FST). She is Inspector General of Education and Training and President of the National Mathematics Commission of Senegal. She was awarded a fellowship from the 6th edition of the "Mujeres por Africa" foundation and  stayed for 6 months in 2021 at ICMAT (Instituto de Ciencias Matemáticas) in Madrid, Spain. She is a founding member of AWMA (African Women in Mathematics Association) and SWMA (Senegalese Women in Mathematics Association)

 

 

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Date Tuesday  June 14, 2022
Time 14:00-15:00 (UTC)
Speaker Dr Fagueye Ndiaye
Affiliation Université Cheikh Anta Diop
Domain Differential Equations
Title An explicit formula ofmthe Dirichlet-to-Neuman Map for a Radial potential for the Schrodinger equation in Dimension 3
Abstract

In the presentation, we provide an explicit expression for the full Dirichlet-to- Neumann map corresponding to a radial potential for the Schrödinger equation in 3-dimensional. We numerically implement the coefficients of the explicit formulas. In this work, Lipschitz type stability is established near the edge of the domain with giving estimation constant. That is necessary for the reconstruction of the potential from Dirichlet-to-Neuman map.