Noah G. Harding Chair and Professor
SIAM Fellow, AWM Fellow and IACM Fellow
Member, SIAM Board of Trustees
Member, The Ken Kennedy Institute
Rice University
Curriculum Vitae
Short Bio
Beatrice Riviere is a Noah Harding Chair and Professor in the Department of Computational and Applied Mathematics and Operations Research and of the Ken Kennedy Institute at Rice University. She has worked extensively on the formulation and analysis of numerical methods applied to problems in porous media and in fluid mechanics. She is the author of more than one hundred scientific publications in numerical analysis and scientific computation. Her book on the theory and implementation of discontinuous Galerkin methods is highly cited. Her current research deals with the development of high-order methods in time and in space for multiphase multicomponent flows (in rigid and deformable media); the modeling of pore scale flows for immiscible and miscible components; the numerical model of chemical species transport in networks of blood vessels; the development of PDE-based neural networks for image segmentation and the design of reliable numerics-inspired neural networks-based algorithm for scientific machine learning. Dr. Riviere’s research group, COMP-M, has been funded by the National Science Foundation, the oil and gas industry and the Gulf Coast Consortia for the Quantitative Biomedical Sciences.
Dr. Riviere is a SIAM Fellow (Class of 2021). She has been actively involved with SIAM for several decades. She currently serves as a member of SIAM Board of Trustees. She was elected President of the SIAM TX-LA Section from 2020 to 2022 and Chair of the SIAM Activity Group on Geosciences from 2019 to 2020. Dr. Riviere is an AWM Fellow (Class of 2022) and an IACM Fellow (2024). She has served on the editorial boards of SIAM Journal on Scientific Computing, SIAM Journal on Numerical Analysis, Results in Applied Mathematics and Advances in Water Resources. To date, she has graduated a total of twenty Ph.D. students, with eleven working in academia, seven in industry and one in national lab.
Dr. Riviere is the PI of the Research Training Group in Numerical Mathematics and Scientific Computing (2023-2028).
Leadership
- Member, SIAM Board of Trustees 2022-present
- President, SIAM TX-LA Section 2020-2022
- Chair, SIAM Geosciences Activity Group 2019-2020
- Department Chair, Computational and Applied Mathematics, 2015-2018
Education
- Ph.D. in Computational and Applied Mathematics (2000), The University of Texas at Austin
- Master of Arts in Mathematics (1996), Pennsylvania State University
- Diplome d’Ingenieur de l’Ecole Centrale de Lyon (1995)
- Licence de Mathematiques, Universite Claude Bernard de Lyon (1993)
Graduated Ph.D. Students
- Songul Kaya, Ph.D. 2004. Professor at METU, Turkey.
- Yekaterina Epshteyn, Ph.D. 2007. Full Professor at the University of Utah.
- Qi Mi, Ph.D. 2007. Assistant Professor at the University of Pittsburgh, School of Health and Rehabilitation Sciences.
- Prince Chidyagwai, Ph.D. 2010. Associate Professor at Loyola University.
- Aycil Cesmelioglu, Ph.D. 2010. Full Professor at Oakland University.
- Sevtap Ozisik, Ph.D. 2012. Employed by Direct Energy.
- Kun Liu, Ph.D. 2013. Employed by Panton.
- Xin Yang, Ph.D. 2014. Employed by Google.
- Yingpei Wang, Ph.D. 2014. Employed by Waymo.
- Jizhou Li, Ph.D. 2015. Employed by ExxonMobil.
- Charles Puelz, Ph.D. 2017. Assistant Professor at Baylor College of Medicine.
- Emily Hendryx, Ph.D. 2018. Associate Professor at University of Central Oklahoma.
- Chen Liu, Ph.D. 2019. Assistant Professor of Mathematics, University of Arkansas.
- Maurice Fabien, Ph.D. 2019. Assistant Professor, University of Wisconsin-Madison.
- Bryan Doyle, Ph.D. 2020. Employed by Maxar.
- Christopher Thiele, Ph.D. 2021. Employed in industry in Germany.
- Jonas Actor, Ph.D. 2021. Research staff at Sandia National Laboratory.
- Boqian Shen, Ph.D. 2022. Postdoc at KAUST.
- Rami Masri. Ph.D. 2022. Postdoc at Brown U.
- Bilyana Tzolova, Ph.D. 2024.
Graduated Master Students
- Michael Chiacchiero, M.S. 2007.
- Ahmet Izmirlioglu, M.S. 2008.
- Christina Ho, M.A. 2010.
- Kun Liu, M.A. 2010.
- Toni Tullius, M.A. 2011.
- Shirin Sardar, M.A. 2012.
- Xin Yang, M.A. 2012.
- Jizhou Li, M.A. 2013.
- Jun Tan, M.A. 2013.
- Emily Hendryx, M.A. 2015.
- Brianna Lynn, M.A. 2016.
- Rujeko Chinomona, M.A. 2016.
- Chen Liu, M.A. 2016.
- Bryan Doyle, M.A. 2018.
- Christopher Thiele, M.A. 2018.
- Rami Masri, M.A. 2019.
- Boqian Shen, M.A. 2020.
- Lu Lin, M.A. 2020.
- Bilyana Tzolova, M.A. 2022.
- Adrian Celaya, M.A. 2023.
- Cito Balsells, M.A. 2023.
Book
Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation.
SIAM 2008. ISBN-10: 089871656X.
Available at SIAM. Download errata here.