Department of Mathematical, Physical, and Engineering Sciences

Classroom Hall 314W

210-784-2428 |baksoylu@tamusa.edu

Prior to joining Texas A&M University-San Antonio, I was an ORAU senior fellow at the Army Research Laboratory, Aberdeen Proving Ground, Maryland. I have held faculty positions. I was an associate professor at TOBB University of Economics and Technology, Ankara, Turkey. I was an adjunct professor at Wayne State University, Detroit, Michigan, in the Department of Mathematics. I was an assistant professor at Louisiana State University (LSU) in the Department of Mathematics and in the Center for Computation & Technology. After I left LSU, I continued to be a visiting assistant professor. My research has been funded by National Science Foundation, European Commission Marie Curie Program, and Scientific and Technological Research Council of Turkey.

I held two postdoctoral positions. My first postdoc was at California Institute of Technology in the Department of Computing + Mathematical Sciences in the area of computer graphics with a focus on digital geometry processing in the Multi-Res Modeling Group. My second postdoc was at The University of Texas at Austin in the The Institute for Computational Engineering and Sciences in the area of geosciences with a focus on robust preconditioning in The Computational Hydraulics Group and The Center for Subsurface Modeling.

I received my Ph.D. degree in Mathematics from University of California, San Diego. I received my M.S. degree in Mathematics from University of California, Irvine. I received a double major B.S. degree in Mathematics and a B.S. degree in Science Education, Mathematics Teaching from Middle East Technical University, Ankara, Turkey.

Member of the Editorial Board: Journal of Peridynamics and Nonlocal Modeling, Springer

Member of the Editorial Board: Numerical Methods for Partial Differential Equations, Wiley

Plenary Speaker ENUMATH2015 Conference

I work in the areas of numerical analysis, scientific computing, and numerical linear algebra. My research interests include:

- Nonlocal problems, peridynamics, local boundary conditions for nonlocal problems, preconditioning for peridynamics, scalable solvers for nonlocal problems,
- preconditioning, iterative solvers, numerical solutions to partial differential equations,
- multilevel preconditioning, multigrid, preconditioning under adaptive mesh refinement,
- robust preconditioning for high-contrast heterogeneous media,
- Krylov subspace solvers.

My research has been used to solve modeling and simulation problems in the application areas that include:

- Biophysics,
- Computer graphics,
- Geosciences,
- Numerical relativity,
- Solid mechanics.

- Recipient of the A&M-SA College of Arts and Sciences 2022 Outstanding Faculty Award of Excellence in Teaching.
- Recipient of the DoE Oak Ridge Associated Universities (ORAU) senior fellowship, U.S. Army Research Laboratory, Aberdeen Proving Ground.
- Recipient of the University of Texas at Austin ICES postdoctoral fellowship.
- Recipient of the Burroughs Wellcome Fund interdisciplinary LJIS predoctoral fellowship.
- Recipient of the Ministry of Education Overseas Higher Education Scholarship given only to 2 students nationwide by the Turkish Government to pursue doctoral studies abroad.

Year | Rank | University |
---|---|---|

2021-present | Associate Professor | Texas A&M University-San Antonio |

2010-2016 | Associate Professor | TOBB University of Econ & Tech |

2005-2010 | Assistant Professor | Louisiana State University |

S. Pawar, O. San, B. Aksoylu, A. Rasheed, and T. Kvamsdal, *Physics guided machine learning using simplified theories*, Physics of Fluids, 33 (2021), 011701, DOI.

B. Aksoylu and G.A. Gazonas, *On the choice of kernel function in nonlocal wave propagation*, Journal of Peridynamics and Nonlocal Modeling, 2 (2020), pp.379-400, DOI.

B. Aksoylu and G.A. Gazonas, *On nonlocal problems with inhomogeneous local boundary conditions*, Journal of Peridynamics and Nonlocal Modeling, 2 (2020), pp.1-25, DOI.

H.R. Beyer, B. Aksoylu and F. Celiker, *On a class of nonlocal wave equations from applications*, Journal of Mathematical Physics, 57(6) (2016), 062902, DOI.

B. Aksoylu and Z. Unlu, *Conditioning analysis of nonlocal integral operators in fractional Sobolev spaces*, SIAM Journal on Numerical Analysis, 52 (2014), pp. 653-677, DOI.

B. Aksoylu and M.L. Parks, *Variational theory and domain decomposition for nonlocal problems*, Applied Mathematics and Computation, 217 (2011), pp. 6498-6515, DOI.

B. Aksoylu and H.R. Beyer, *Results on diffusion equation with rough coefficients*, SIAM Journal on Mathematical Analysis, 42 (2010), pp. 406-426, DOI.

B. Aksoylu, I.G. Graham, H. Klie, and R. Scheichl, *Towards a rigorously justified algebraic preconditioner for high-contrast diffusion problems*, Computing and Visualization in Science, 11 (2008) pp. 319-331, DOI.

B. Aksoylu and M. Holst, *Optimality of multilevel preconditioners for local mesh refinement in three dimensions*, SIAM Journal on Numerical Analysis, 44 (2006), pp. 1005-1025, DOI.

B. Aksoylu, A. Khodakovsky and P. Schroder, *Multilevel solvers for unstructured surface meshes*, SIAM Journal on Scientific Computing, 26 (2005), pp. 1146-1165, DOI.

Subject | Number | Section | Description | Term | Syllabus |
---|---|---|---|---|---|

MATH | 3340 | 001 | Linear Algebra with Appl | Fall 2023 | Syllabi |

MATH | 2313 | 003 | Calculus I | Fall 2023 | Syllabi |