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Extra Form
강연자 Stanley Osher
소속 UCLA
date 2016-03-31

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.


  1. Analysis and computations of stochastic optimal control problems for stochastic PDEs

  2. <학부생을 위한 ε 강연> 압축센싱과 행렬완성

  3. <학부생을 위한 ε 강연> 수학과 예술 - 초기 컴퓨터 그래픽

  4. Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields

  5. Quasi-homomorphisms into non-commutative groups

  6. Entropies on covers of compact manifolds

  7. Iwahori-Hecke algebras and beyond

  8. On the resolution of the Gibbs phenomenon

  9. 07Apr
    by 김수현
    in 수학강연회

    <학부생을 위한 ε 강연> What mathematics can do for the real and even fake world

  10. The process of mathematical modelling for complex and stochastic biological systems

  11. Random walks in spaces of negative curvature

  12. Solver friendly finite element methods

  13. Brownian motion and energy minimizing measure in negative curvature

  14. 학부생을위한ε강연: 수학자는 왜 선망되는 직업일까?

  15. Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media

  16. Weyl character formula and Kac-Wakimoto conjecture

  17. Nonlocal generators of jump type Markov processes

  18. 정년퇴임 기념강연: 회고

  19. <학부생을 위한 강연> 사색 정리를 포함하는 Hadwiger의 추측의 변형에 관하여

  20. The classification of fusion categories and operator algebras

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