CAAM 652: Topics in Numerical Differential Equations

This course is offered every semester. Recent advances in scientific computing and numerical analysis are presented.


We meet every Wednesday from 10am to 10:50am in DH 3076.

Spring 2016


Participants: Florian Frank, Nabil Chaabane, Travis Thompson, Brianna Lynn, Charles Puelz, Chen Liu,
Rujeko Chinomona, Maurice Fabien, Caleb Magruder, Timur Takhtaganov, Arturo Vargas.
Date Speaker Title
01/13 Beatrice Riviere Hilbert spaces
01/27 Beatrice Riviere Hilbert spaces
02/03 Beatrice Riviere Distributional derivatives
02/17 Beatrice Riviere Lp spaces
02/24 Beatrice Riviere Sobolev spaces
03/09 Beatrice Riviere Trace theorems
03/16 Beatrice Riviere Variational problems
03/23 Beatrice Riviere Generalized Lax-Milgram theorem
03/30 Beatrice Riviere Generalized Lax-Milgram theorem
04/13 Beatrice Riviere A priori error bounds for discrete variational problems


Fall 2015


Participants: Florian Frank, Nabil Chaabane, Travis Thompson, Brianna Lynn, Charles Puelz, Chen Liu,
Rujeko Chinomona, Maurice Fabien, Caleb Magruder, Timur Takhtaganov, Arturo Vargas.
Date Speaker Title
09/02 Beatrice Riviere Lp spaces
09/09 Beatrice Riviere Sobolev spaces
09/16 Beatrice Riviere Navier-Stokes equations: weak form
09/23 Beatrice Riviere Navier-Stokes equations: existence (lecture 1)
09/30 Beatrice Riviere Navier-Stokes equations: existence (lecture 2)
10/07 Beatrice Riviere Navier-Stokes equations: uniqueness
10/14 Beatrice Riviere Navier-Stokes discretization: FEM and DG
10/21 Beatrice Riviere Analysis of Navier-Stokes discretization: FEM and DG (lecture 1)
10/28 Beatrice Riviere Analysis of Navier-Stokes discretization: FEM and DG (lecture 2)
11/11 Beatrice Riviere Analysis of Navier-Stokes discretization: FEM and DG (lecture 3)
11/18 Nabil Chaabane Analysis of Navier-Stokes discretization: FEM and DG (lecture 4)
11/18 Beatrice Riviere Analysis of Navier-Stokes discretization: FEM and DG (lecture 5)




Past courses: 2008/2009, 2009/2010, Fall 2010, Spring 2011, Fall 2011, Spring 2012,2012/2013,2013/2014,2014/2015,Spring 2015,2016/2017


Department of Computational and Applied Mathematics | Rice University