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Research Interests
Numerical methods for solving partial differential equations
Discontinuous Galerkin (DG) methods
Error analysis and development of hp adaptive software for DG methods
Flow and transport in porous media
Multiphase flow
Stokes and Navier-Stokes flow
Coupled problems
Mathematical biology: modeling of cell motility and inflammatory response
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.
Weekly Seminar
CAAM 699 Section 6: Scientific Computing and Numerical Analysis seminar
meets weekly (every Wednesday from 2pm to 2:50pm in DH 2014).
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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