The numerical analysis and scientific computing group meets each semester to discuss novel numerical methods, high-performance computing topics, and application problems that involve numerical challenges.
Our group is led by Tommaso Buvoli and Mayya Tokman.
During Spring 2019 the meetings will be held on Wednesday from 3:00pm - 4:00pm in Social Sciences and Management (SSM) room 235.
Schedule for Spring 2019:
Maxime Theliard (Assistant Professor, Applied Mathematics, UC Merced)
Title: The projection method for the incompressible Navier-Stokes equations
Description: An introduction to the projection method for simulating incompressible newtonian fluids. We will both look at the standard method and how it can be implemented on adaptive grids to simulate single and two phase flows.
Tommaso Buvoli (Visiting Assistant Professor, Applied Mathematics, UC Merced)
Title: Time-Integration Techniques for Stiff Systems
Description: An introduction to several types of time-integration techniques used to solve stiff systems arising from the discretization of partial differential equations.
Changho Kim (Assistant Professor, Applied Mathematics, UC Merced)
Title: Stochastic Differential Equations 101
Description: An introductory lecture to SDEs and their numerical solutions will be presented. No prerequisite knowledge is assumed.
Leonardo Zepeda-Núñez (UC Berkeley)
Title: Fast and Scalable Algorithms for the High-Frequency Helmholtz Equation in 3D
Description: There is much truth to the conventional wisdom that computational wave propagation is harder when the frequency is higher. Ten years ago, it was unclear that scalable sequential algorithms could even exist for the Helmholtz equation. Today, linear complexity is not only available in many scenarios of interest, but it is becoming clear that parallelism can take us much further. I will show recent results that indicate that genuinely sublinear parallel runtimes are possible in the 3D case, both with respect to the total number of unknowns, and the number of right-hand sides. ** Joint work with Laurent Demanet (MIT), Matthias Taus (MIT), Russell Hewett (Total), and Adrien Scheuer (UCL).
Camille Carvalho (Assistant Professor, Applied Mathematics, UC Merced)
Title: Ad Hoc Finite element method for sign-changing Laplacian
Description: In this presentation we will discuss how to use the finite element method for solving Laplace's equation in a partitioned domain (two materials for example). We will discuss the method, the error estimate, and how to design ad hoc meshes to ensure optimal convergence.