##### Department of Mathematics,

University of California San Diego

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### Math 295 - Mathematics Colloquium

## Lexing Ying

#### Stanford University

## Solving high frequency wave equations

##### Abstract:

The numerical solution of high frequency wave propagation has been a longstanding challenge in computational science and engineering. This talk addresses this problem in the time-harmonic regime. We consider a sequence of examples with important applications, and for each we construct an efficient preconditioner (approximate inverse) that allows one to solve the system with a small number of iterations. From these examples emerges a new framework, where sparsity, geometry of wave phenomenon, and highly accurate discretizations are combined together to address this challenging topic.

Hosts: Melvin Leok and Jiawang Nie

### March 10, 2016

### 3:00 PM

### AP&M 6402

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