October 20, 2020

## Gerardo Hernández-Dueñas

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I am Ph. D. Candidate in Mathematics at The University of Michigan - Ann Arbor. I completed my undergraduate studies in the Mexican Research Center in Mathematics and University of Guanajuato .

Contact Info:

University of Michigan - Ann Arbor

Office: East Hall 4828

Phone: 734.936.4564

Email : gerahdez at umich.edu

Curriculum Vitae (Last updated 12/14/2010)

Research Area:

My research interest include two areas:

- Semiclassical Analysis / Functional Analysis
Advisor: Alejandro Uribe

Research Statement in Semiclassical Analysis

- Numerical Analysis / Hyperbolic Conservation Laws
Advisor: Smadar Karni

Research Statement in Numerical Analysis

Papers:

- (With A. Uribe) "An algebra of semiclassical pseudodifferential operators with singular symbols". To be submitted soon. A link to an old version is here. The current version is available upon request.

- (With J. Balbas) "Central Schemes for Shallow Water Flows in Channels". (In preparation)

- (With S. Karni) "Shallow Water Flows in Channels" Journal of Scientific Computing, 2010. DOI: 10.1007/s10915-010-9430-x

- (With S. Karni) "A Hybrid Algorithm for the Baer-Nunziato Model" . J. Sci. Comput. (2010) 45: 382-403 DOI 10.1007/s10915-009-9332-y

- (With S. Karni) "A Scheme for the Shallow Flow with Area Variation". American Institute of Physics (2009). AIP Conference Proceedings #1168, p 1433-1436. International Conference on Numerical Analysis and Applied Mathematics, Rethymno, Crete, Greece, 18-22 Septemeber 2009.

- (With S. Karni) "A Hybrid Scheme for Flows in Porous Media". Proceedings of Simposia in Applied Mathematics (2009), Volume 67, Part 2, p 715-724. American Mathematical Society. Proceedings of the Twelfth International Conference on Hyperbolic Problems June 9-13 2008 (Hyp2008). University of Maryland, College Park.

Teaching:

Math 115 - Sec 011. Winter 2011

Files from talks and reports:

Some friends' web pages:

Other links:

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