Numerical Analysis: methods for solving partial differential equations, Discontinuous Galerkin (DG) methods, Error analysis and development of hp adaptive software for DG methods
Porous media: flow and transport, multiphase multicomponent flow, solid mechanics
Mathematical modeling of biological processes: intestinal edema formation, muscle contractility, blood flow, cell motility, inflammatory response
CFD: Stokes and Navier-Stokes flow
Multiphysics problems: coupled Navier-Stokes and Darcy, Stokes and Darcy
and coupled with transport
Others: viscoelastic fluids and solids, acoustic and elastic waves
Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation.
SIAM 2008. ISBN-10: 089871656X.
Available at SIAM. Part of
SIAM Bestsellers. Download errata here.
Weekly Seminar for graduate and undergraduate students
CAAM 652: Scientific Computing and Numerical Analysis seminar
meets weekly (every Wednesday from 10am to 10:50am in DH 3076).
Riviere's Google Scholar entry
Riviere's Microsoft Academic entry
Computational & Applied Mathematics Department
6100 Main Street, MS-134
Houston, TX 77005-1892
Tel: (713) 348-4094
Email: riviere at caam dot rice dot edu