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YouTube

Mathematical Analysis and Numerical Methods for Inverse Scattering Problems

International Mathematical Union via YouTube

Overview

This course covers the mathematical analysis and numerical methods for solving inverse scattering problems. The learning outcomes include understanding scattering and inverse scattering, applying the Radon Transform, addressing challenges in inverse scattering, implementing inverse scattering algorithms, and analyzing stability for inverse scattering problems. The course teaches skills such as utilizing deep learning algorithms for inverse problems and conducting stability analysis. The teaching method involves a combination of theoretical explanations and practical numerical results. The intended audience for this course includes mathematicians, researchers, and students interested in inverse scattering problems and numerical methods.

Syllabus

Intro
Outline
Introduction: Scattering and Inverse Scattering
Application: Radon Transform
Calderón Problem: Progress and Challenges
Challenges for Inverse Scattering
Inverse Scattering Problems
Inverse Scattering Algorithms
Inverse Medium Problems: Progress
Numerical Results
Stability Analysis
Stability for ISP
Deep Learning Based Algorithms for IPs

Taught by

International Mathematical Union

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