Burak Aksoylu

Burak Aksoylu

Mathematics Program Coordinator, Associate Professor
College Of Arts And Sciences
Department of Mathematical, Physical, and Engineering Sciences
Classroom Hall 314W

210-784-2428   |baksoylu@tamusa.edu

View Curriculum Vitae


Prior to joining Texas A&M University-San Antonio, I was an ORAU senior fellow at the CCDC 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

Google Scholar Profile

Plenary Speaker ENUMATH2015 Conference

Research Interests

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.

Research Application Areas

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 DoE Oak Ridge Associated Universities (ORAU) senior fellowship, CCDC 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.

Teaching Summary

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

Selected Publications

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.

Courses Teaching

Subject Number Section Description Term Syllabus
MATH 4374 001 Numerical Analysis Fall 2022 Syllabi
MATH 3340 001 Linear Algebra with Appl Fall 2022 Syllabi