##### Department of Mathematics,

University of California San Diego

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### Advancement to Candidacy

## Brian Tran

#### UC San Diego

## Variational Discretizations of Lagrangian and Hamiltonian Field Theories

##### Abstract:

In this talk, after discussing the necessary background material, I will discuss the main results of my recent work \emph{Variational Structures in Cochain Projection Based Discretizations of Lagrangian PDEs} and \emph{Multisymplectic Hamiltonian Variational Integrators}; this is joint work with Prof. Melvin Leok. \\ \\ Building on these ideas, I will conclude by discussing future research directions.

Advisor: Melvin Leok

### April 23, 2021

### 1:00 PM

### Zoom ID 858 534 2126

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