Popov, Bojan
individual record
Professor
Positions:
- Professor, Mathematics, College of Arts and Sciences
overview
My research focuses on Conservation Laws, Linear Transport Equations, Approximation Theory, and Numerical Analysis of PDEs.
education and training
- Ph.D. in , University of South Carolina - (Columbia, South Carolina, United States) 1999
- M.S. in , Technical University of Sofia - (Sofia, Bulgaria) 1992
selected publications
Academic Articles55
- Guermond, J., Nazarov, M., & Popov, B. (2024). Finite element-based invariant-domain preserving approximation of hyperbolic systems: Beyond second-order accuracy in space. Computer Methods in Applied Mechanics and Engineering. 418, 116470-116470.
- Clayton, B., Guermond, J., Maier, M., Popov, B., & Tovar, E. J. (2023). Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state. Journal of Computational Physics. 478, 111926-111926.
- Guermond, J., Kees, C., Popov, B., & Tovar, E. (2022). Hyperbolic relaxation technique for solving the dispersive Serre-Green-Naghdi equations with topography. Journal of Computational Physics. 450, 110809-110809.
- Clayton, B., Guermond, J., & Popov, B. (2022). INVARIANT DOMAIN-PRESERVING APPROXIMATIONS FOR THE EULER EQUATIONS WITH TABULATED EQUATION OF STATE. SIAM Journal on Scientific Computing. 44(1), A444-A470.
- Guermond, J., Kronbichler, M., Maier, M., Popov, B., & Tomas, I. (2022). On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering. 389, 114250-114250.
Chapters2
- Popov, P., & Popov, B. (2009). A Second Order Central Scheme for Hamilton-Jacobi Equations on Triangular Grids. Lecture Notes in Computer Science. Numerical Analysis and Its Applications. 476-485. Springer Nature.
- Christov, I., Mishev, I. D., & Popov, B. (2009). Finite volume methods on unstructured Voronoi meshes for hyperbolic conservation laws. Hyperbolic Problems: Theory, Numerics and Applications. 507-+. American Mathematical Society (AMS).
Conference Papers6
- Pasquetti, R., Guermond, J. L., & Popov, B. (2015). Stabilized Spectral Element Approximation of the Saint Venant System Using the Entropy Viscosity Technique. Lecture Notes in Computational Science and Engineering. 106, 397-404.
- Guermond, J., & Popov, B. (2014). ENTROPY VISCOSITY FOR THE EULER EQUATIONS AND QUESTIONS REGARDING PARABOLIC REGULARIZATION. HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS. 8, 119-124.
- Guermond, J., Pasquetti, R., & Popov, B. (2011). From suitable weak solutions to entropy viscosity. Ercoftac Series. 16, 373-+.
- Popov, P., & Popov, B. (2009). A Second Order Central Scheme for Hamilton-Jacobi Equations on Triangular Grids. Lecture Notes in Computer Science. 5434, 476-+.
- Dobrev, V., Guermond, J., & Popov, B. (2009). Surface Reconstruction via L1-Minimization. Lecture Notes in Computer Science. 5434, 32-43.
Repository Documents / Preprints8
- Clayton, B., Guermond, J., Maier, M., Popov, B., & Tovar, E. J. (2022). Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state.
- Guermond, J., Kronbichler, M., Maier, M., Popov, B., & Tomas, I. (2021). On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations.
- Guermond, J., Kees, C., Popov, B., & Tovar, E. (2021). Hyperbolic relaxation technique for solving the dispersive Serre-Green-Naghdi Equations with topography.
- Guermond, J., Popov, B., & Ragusa, J. (2019). Positive asymptotic preserving approximation of the radiation transport equation.
- Guermond, J., Popov, B., & Tomas, I. (2018). Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems.
researcher on
Principal Investigator2
- High-Order Approximation Techniques for Nonlinear Hyperbolic Pdes awarded by National Science Foundation 2012 - 2016
Co-Principal Investigator5
- Robust approximation of nonlinear conservation equations awarded by DOD-Army-Army Research Office 2019 - 2023
- Robust Approximation of Nonlinear Hyperbolic Systems awarded by DOD-Air Force-Office of Scientific Research 2015 - 2017
recent teaching activities
- MATH304 Linear Algebra Instructor
- MATH308 Differential Equations Instructor
- MATH309 Linear Alg For Diff Eq Instructor
- MATH412 Theory Of Pdes Instructor
- MATH417 Numerical Methods Instructor
chaired theses and dissertations
- Tomov, Vladimir (2014-04). Entropy Viscosity Method for Lagrangian Hydrodynamics and Central Schemes for Mean Field Games. (Doctoral Dissertation)
- Mehmetoglu, Orhan (2012-10). Stability and Convergence of High Order Numerical Methods for Nonlinear Hyperbolic Conservation Laws. (Doctoral Dissertation)
Email
popov@tamu.edu
First Name
Bojan
Last Name
Popov
mailing address
Texas A&M University; Mathematics; 3368 TAMU
College Station, TX 77843-3368
USA
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