present time - PhD student in Numerical Analysis at Division of Scientific Computing, Uppsala University; researcher at Institute of Information and Communication Technologies - Bulgarian Academy of Sciences
2007 - 2010 - PhD student in Computational Mathematics, Institute for Parallel Processing - Bulgarian Academy of Sciences, upcoming thesis defense
2004 - 2006 - M. Sc. in Applied Mathematics, Faculty of Mathematics and Informatics,
Sofia University
2000 - 2004 - B. Sc. in Informatics, Faculty of Mathematics and Informatics,
Sofia University
1995 - 2000 - First English Language School, Sofia
Fields of Research
Computational Linear Algebra (Iterative Methods and Algorithms,
Preconditioning, Sparse Matrices)
Large-Scale Scientific Computing and Parallel Algorithms
Numerical Methods for Partial Differential Equations (Finite
Difference Schemes and Finite Element Method)
Foreign languages
English
List of Publications
Journal papers:
Boyanova P., Margenov S., Neytcheva M., Robust AMLI Methods for Parabolic Crouzeix-Raviart FEM Systems, Journal of Computational and Applied Mathematics, doi:10.1016/j.cam.2010.05.039
Book chapters:
Boyanova P., Margenov S., Robust Multilevel Methods for Elliptic and Parabolic Problems, invited chapter in: O. Axelsson, J. Karatson, Efficient preconditioning methods for elliptic partial differential equations, Bentham Science Publishers, to appear (2010), 23 p.
Papers in reviewed conference proceedings:
Boyanova P., Margenov S., 2009. Multilevel splitting of weighted graph-laplacian arising in non-conforming mixed FEM elliptic problems. In: Margenov, S., Vulkov, L., Wasniewski, J. (Eds.), Numerical Analysis and Its Applications. Vol. 5434 of Lecture Notes in Computer Science. Springer, 216–223.
Boyanova P., Margenov S., 2009. Numerical Study of AMLI Methods for Weighted Graph-Laplacians. In: Lirkov, I., Margenov, S., Wasniewski, J. (Eds.), Large-Scale Scientific Computing. Vol. 5910 of Lecture Notes in Computer Science. Springer.
Boyanova P., Margenov S., 2010. On Multilevel Iterative Methods for Navier-Stokes Problems. Journal Of Theoretical And Applied Mechanics, Vol. 40, Number 1, 51–60.
Boyanova P., Margenov S., On Optimal AMLI Solvers for Incompressible Navier-Stokes Problems, AIP Conference Proceedings (AMiTaNS'10 Conference)
Technical reports:
Boyanova P., Do-Quang M., Neytcheva M., Solution methods for the Cahn-Hilliard equation discretized by conforming and non-conforming finite elements,
TR 2011-004, Institute for Information Technology, Uppsala University, March 2011.
Extended abstracts:
Boyanova P., Margenov S., 2009, On AMLI Preconditioning of Graph-Laplacians: Properties of the Two-Level Method, 3rd Annual meeting of BGSIAM'08, 19–22.
Neytcheva M., Boyanova P., 2010. Challenges for the Iterative Solution of Phase-Separation Flow Problems, 4th Annual meeting of BGSIAM'09, 99–104.
Under review:
Boyanova P., Georgiev I., Margenov S., Zikatanov L., Multilevel Preconditioning of Graph-Laplacians: Polynomial Approximation of the Pivot Blocks Inverses,
submitted to special issue of Mathematics and Computers in Simulation (Elsevier).
Boyanova P., Do-Quang M., Neytcheva M., Block-preconditioners for conforming and non-conforming FEM discretizations of the Cahn-Hilliard equation,
submitted to special volume of Springer Lecture Notes in Computer Science (LNCS).