Extra Form
Lecturer Stanley Osher
Dept. UCLA
date Mar 31, 2016

I will give a very personal overview of the evolution of mainstream applied mathematics from the early 60's onwards. This era started pre computer with mostly analytic techniques, followed by linear stability analysis for finite difference approximations, to shock waves, to image processing, to the motion of fronts and interfaces, to compressive sensing and the associated optimization challenges, to the use of sparsity in Schrodinger's equation and other PDE's, to overcoming the curse of dimensionality in parts of control theory and in solving the associated high dimensional Hamilton-Jacobi equations.

List of Articles
Category Subject Dept. Lecturer
Math Colloquia Creation of concepts for prediction models and quantitative trading file Haafor 이승환
Math Colloquia <학부생을 위한 ɛ 강연> Introduction to the incompressible Navier-Stokes equations file UNIST 배한택
Math Colloquia An introduction to hyperplane arrangements file 서울대 이승진
Math Colloquia What happens inside a black hole? file 고등과학원 오성진
Math Colloquia <학부생을 위한 ε 강연> Variable-driven sociological research with data innovations file 연세대학교 강정한
Math Colloquia Subword complexity, expansion of real numbers and irrationality exponents file 동국대 김동한
Math Colloquia <학부생을 위한 ε 강연> 동형암호와 근사정수론 file 서울대 천정희
Math Colloquia 4-manifold topology and disk embedding file 포항공과대학교 차재춘
Math Colloquia Hybrid discontinuous Galerkin methods in computational science and engineering file 연세대 박은재
Math Colloquia The phase retrieval problem file Hong Kong University of Science and Technology Yang Wang
Math Colloquia Theory and applications of partial differential equations file 서울대 변순식
Math Colloquia Analysis and computations of stochastic optimal control problems for stochastic PDEs file 아주대 이형천
Math Colloquia <학부생을 위한 ε 강연> 압축센싱과 행렬완성 file 서울대 심병효
Math Colloquia <학부생을 위한 ε 강연> 수학과 예술 - 초기 컴퓨터 그래픽 file 동양대학교 진중권
Math Colloquia Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields file Univ. Bremen Keivan Mallahi-Karai
Math Colloquia Quasi-homomorphisms into non-commutative groups file Kyoto Univ. Koji Fujiwara
Math Colloquia Entropies on covers of compact manifolds file CNRS (France) François Ledrappier
Math Colloquia Iwahori-Hecke algebras and beyond file University of Picardie Jules-Verne, Amiens 김성순
Math Colloquia On the resolution of the Gibbs phenomenon file SUNY Buffalo 정재훈
Math Colloquia <학부생을 위한 ε 강연> What mathematics can do for the real and even fake world file UCLA Stanley Osher
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