Academics

Stochastic inverse problems for both time-harmonic and time-dependent wave equations

Time:Thur., 10:00-11:00 am, Sept. 19, 2024

Venue:C654, Shuangqing Complex Building A

Organizer:应用与计算数学团队

Speaker:Xu Wang

Applied and Computational Math Colloquium

Organizers:

应用与计算数学团队

Speaker:

Xu Wang 王旭(中国科学院数学与系统科学研究院)

Time:

Thur., 10:00-11:00 am, Sept. 19, 2024

Venue:

C654, Shuangqing Complex Building A

清华大学双清综合楼A座 C654

Title:

Stochastic inverse problems for both time-harmonic and time-dependent wave equations

Abstract:

The stochastic inverse problem originates from practical issues such as resource exploration, medical imaging, and stealth technology, using stochastic differential equations as mathematical models to describe the problem under the interference of random factors such as environmental uncertainties and data noise. This talk will introduce the uniqueness, stability, and computational methods of inverse problems for random sources and random potentials in the context of both time-harmonic and time-dependent wave equations.

About the speaker:

王旭,中国科学院数学与系统科学研究院副研究员。2018年博士毕业于中科院数学与系统科学研究院,2018-2021年任美国普渡大学Golomb访问助理教授,2021年入职中国科学院数学与系统科学研究院。获得中国科学院引才计划青年项目、国家自然科学基金委优秀青年科学基金项目(海外)等资助,主要从事随机波动方程反问题、随机偏微分方程数值方法等研究。

DATESeptember 17, 2024
SHARE
Related News
    • 0

      Deep image prior for inverse problems: acceleration and probabilistic treatment

      AbstractSince its first proposal in 2018, deep image prior has emerged as a very powerful unsupervised deep learning technique for solving inverse problems. The approach has demonstrated very encouraging empirical success in image denoising, deblurring, super-resolution etc. However, there are also several known drawbacks of the approach, notably high computational expense. In this talk, we des...

    • 1

      Inverse Problems for Some Nonlinear PDEs with Partial Data

      AbstractIn this talk, I will demonstrate the higher order linearization approach to solve several inverse boundary value problems for nonlinear PDEs, modeling for example nonlinear optics, including nonlinear magnetic Schrodinger equation and time-dependent Schrodinger equation. Considering partial data problems, the problem will be reduced to solving for the coefficient functions from their in...