Publications, Workshops, and Talks



Peer-reviewed journal publications

Jean-Luc Guermond, Bojan Popov, Eric Tovar, Chris Kees
Hyperbolic relaxation technique for solving the dispersive Saint-Venant shallow water equations with topography.
Submittied.

Jean-Luc Guermond, Bojan Popov, Eric Tovar, Chris Kees
Robust explicit relaxation technique for solving the Green-Naghdi equations.
Journal of Computational Physics, Volume 399, 15 December 2019.
DOI 10.1016/j.jcp.2019.108917

Eric Tovar, Haicheng Gu, Zhijun Qiao
On Peakon and Kink-peakon Solutions to a (2 + 1) Dimensional Generalized Camassa-Holm Equation
Journal of Nonlinear Mathematical Physics, Vol. 24, 2017
DOI 10.1080/14029251.2016.1274113



Theses

Eric Tovar
On various solutions to a (2 + 1) dimensional general Camassa-Holm equation
Master Thesis, University of Texas - Pan American, 2015


Talks

Hyperbolic relaxation technique for solving the dispersve Serre--Saint-Venent Equations with topography
October 2020, SIAM TX-LA Meeting, Texas A&M University, College Station, TX, USA

Explicit relaxation technique for solving the Green-Naghdi equations
March 2019, Center for Large-Scale Scientific Simulations seminar Texas A&M University, College Station, TX, USA

Explicit relaxation technique for solving the Green-Naghdi equations for dispersive waves
March 2019, 4th Coastal Bend Mathematics and Statistics Conference, University of Texas - Rio Grande Valley, Edinburg, TX, USA

"Where are they now?" Lecture series for UTPA/UTRGV alumni
March 2019, University of Texas - Rio Grande Valley, Edinburg, TX, USA

Explicit Relaxation Technique for Solving the Green-Naghdi Equations for Dispersive Waves
March 2019, 2019 Finite Element Rodeo, University of Texas - Austin, Austin, TX, USA

Hyperbolic Systems In Real Life.
March 2018, Gathering in Graduate Expository Mathematics, Texas A&M University, College Station, TX, USA

Peakon and solitary wave solutions to a new modified Fornberg-Whitham equation
April 2016, 2016 Texas Differential Equations Conference, Texas State University, San Marcos, TX, USA

Peakon solutions for (2 + 1)-dimensional general Camassa-Holm equation
April 2015, The Ninth IMACS International Conference, University of Georgia, Athens, GA, USA

Peakon solutions for (2 + 1)-dimensional general Camassa-Holm equation
March 2015, 2015 Texas Differential Equations Conference, University of Houston, Houston, TX, USA

On nonlinear equations with general dispersion term and the Whitham Equation.
November 2014, Fall Visiting Scholar Workshop on Pure Mathematics, Applied Mathematics, and Their Applications in Physics and Engineering, University of Texas - Pan American, Edinburg, TX, USA


Posters

Explicit Relaxation Technique for Solving the Green-Naghdi Equations
February 2020, Ocean Science Meeting, San Diego, CA, USA

Explicit Relaxation Technique for Solving the Green-Naghdi Equations
November 2019, 2nd Annual Meeting of SIAM Texas-Louisiana Section, Southern Methodist University, Dallas, TX, USA

Explicit Relaxation Technique for Solving the Green-Naghdi Equations
October 2019, Future Directions for Enabling Coastal Storm Flooding Prediction for High-Resolution Forecasts and Climate Scenarios, Columbia University, New York, NY, USA

Explicit Relaxation Technique for Solving the Green-Naghdi Equations for Dispersive Waves
March 2019, SIAM Conference on Mathematical & Computational Issues in the Geosciences, Houston, TX, USA

A hyperbolic, modified Green-Naghdi model for dispersive waves.
August 2018, Advances in PDEs: Theory, Computation and Application to CFD, Brown University, Providence, Rhode Island, USA

A Video-based Method for Heart Rate Monitoring.
November 2014, co-author. Ethics Conference: Bioethics & the Future of Medical Education, University of Texas - Pan American, Edinburg, Texas, USA

Evolution Equations for Weakly Nonlinear Internal Ocean Waves.
August 2014, SIAM Conference on Nonlinear Waves and Coherent Structures, Churchill College, University of Cambridge, England