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Research Interests
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
Mathematical modeling of biological processes: cell motility, inflammatory response, edema formation
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
Book
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.
Finite Element Rodeo
The Finite Element Rodeo took place at Rice on March 2-3 2012. There were 100 participants and 37 talks. The rodeo was dedicated to Professor Graham Carey.
In 2013, the Finite Element Rodeo will be at Louisiana State University.
Weekly Seminar for graduate and undergraduate students
CAAM 499/699 Section 6: Scientific Computing and Numerical Analysis seminar
meets weekly (every Wednesday from 10am to 10:50am in DH 3076).
Summer Math Days for high-school students
Come and spend a few days learning about interesting Mathematics in everyday life: Summer Math Days
Contact Information
Computational & Applied Mathematics Department
Rice University
6100 Main Street, MS-134
Houston, TX 77005-1892
Tel: (713) 348-4094
Email: riviere at caam dot rice dot edu
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