Address

Acad. G. Bonchev Str., bl. 25A
1113 Sofia, Bulgaria
Phone: (+3592) 9796610
Fax: (+3592) 8707273
Email: kosturski@parallel.bas.bg

Fields of Research

  • Large-Scale Scientific Computing and Parallel Algorithms
  • Numerical Methods for Partial Differential Equations (Finite Difference Schemes and Finite Element Method)
  • Computational Linear Algebra (Iterative Methods and Algorithms, Preconditioning, Sparse Matrices)

Education

  • present time - PhD student in Informatics
  • 1997 - 2002 - MSc, Faculty of Mathematics and Informatics, Sofia University
  • 1992 - 1997 - National High-School of Mathematics and Science

Languages

  • English

Publications

  1. D. Slavchev, S. Harizanov, N. Kosturski, Analysis on Computational Issues when Approximating Fractional Powers of Sparse SPD Matrices, International Journal of Applied Mathematics 2024, 37(6).
  2. N. Kosturski, S. Margenov: Analysis of BURA and BURA-based approximations of fractional powers of sparse SPD matrices, Fractional Calculus and Applied Analysis (2024)
  3. N. Kosturski, S. Margenov, Y. Vutov: Non-Overlapping Domain Decomposition via BURA Preconditioning of the Schur Complement, Mathematics 2022, 10(13), 2327.
  4. S. Harizanov, N. Kosturski, I. Lirkov, S. Margenov, Y. Vutov: Reduced Sum Implementation of the BURA Method for Spectral Fractional Diffusion Problems, Large-Scale Scientific Computations 2021, Springer LNCS 13127, pp. 284-291.
  5. S. Harizanov, N. Kosturski, I. Lirkov, S. Margenov, Y. Vutov: Reduced Multiplicative (BURA-MR) and Additive (BURA-AR) Best Uniform Rational Approximation Methods and Algorithms for Fractional Elliptic Equations, Fractal Fract. 2021, 5, 61.
  6. S. Harizanov, N. Kosturski, S. Margenov, Y. Vutov: Neumann fractional diffusion problems: BURA solution methods and algorithms, Mathematics and Computers in Simulation 189, pp. 85-98.
  7. G. Bencheva, N. Kosturski, Y. Vutov: Parallel BURA Based Numerical Solution of Fractional Laplacian with Pure Neumann Boundary Conditions, Large-Scale Scientific Computations 2019, Springer LNCS 11958, pp. 284-291.
  8. N. Kosturski, S. Margenov, Y. Vutov: Performance Analysis of MG Preconditioning on Intel Xeon Phi: Towards Scalability for Extreme Scale Problems with Fractional Laplacians, Large-Scale Scientific Computations 2017, Springer LNCS 10665, pp. 304-312.
  9. N. Kosturski, I. Lirkov, S. Margenov, Y. Vutov: Thermoelectrical Tick Removal Process Modeling, Large-Scale Scientific Computations 2015, Springer LNCS 9374, pp. 369-376.
  10. N. Kosturski, I. Lirkov, S. Margenov, P. Popov, N. Simeonov, Y. Vutov: Performance Analysis of Block AMG Preconditioning of Poroelasticity Equations, Large-Scale Scientific Computations 2015, Springer LNCS 9374, pp. 377-384.
  11. K. Georgiev, N. Kosturski, Y. Vutov: On the Adaptive Time-Stepping in Radio-Frequency Liver Ablation Simulation: Some Preliminary Results, Large-Scale Scientific Computations 2013, Springer LNCS 8353, pp. 397-404.
  12. N. Kosturski, S. Margenov, Y. Vutov: Calibration of Parameters for Radio-Frequency Ablation Simulation, Large-Scale Scientific Computations 2013, Springer LNCS 8353, pp. 611-618.
  13. M. Ganzha, N. Kosturski, S. Margenov, I. Lirkov: Improving the efficiency of parallel alternating directions algorithm for time dependent problems, AMiTaNS'12 Proceedings, AIP CP vol. 1487, pp. 322-328.
  14. N. Kosturski, S. Margenov, Y. Vutov: Computer simulation of RF liver ablation on an MRI scan data, AMiTaNS'12 Proceedings, AIP CP vol. 1487, pp. 120-126.
  15. N. Kosturski, S. Margenov, Y. Vutov: Balancing the Communications and Computations in Parallel FEM Simulations on Unstructured Grids, PPAM 2011, Part II, LNCS 7204, pp. 211-220.
  16. N. Kosturski, S. Margenov, Y. Vutov: Comparison of Two Techniques for Radio-frequency Hepatic Tumor Ablation through Numerical Simulation, AMiTaNS'11 Proceedings, AIP CP vol. 1404, pp. 431-437.
  17. N. Kosturski, S. Margenov, Y. Vutov: Improving the Efficiency of Parallel FEM Simulations on Voxel Domains, Large-Scale Scientific Computations 2011, LNCS 7116, pp. 574-581.
  18. N. Kosturski, S. Margenov: Supercomputer Simulation of Radio-Frequency Hepatic Tumor Ablation, AMiTaNS'10 Proceedings, AIP CP vol. 1301, pp. 486-493.
  19. N. Kosturski, S. Margenov: Numerical Homogenization of Bone Microstructure, Large-Scale Scientific Computations 2009, Springer LNCS 5910, pp. 140-147.
  20. S. Margenov, N. Kosturski: MIC(0) preconditioning of 3D FEM problems on unstructured grids: Conforming and non-conforming elements, Journal of Computational and Applied Mathematics (2008), pp. 288-297.
  21. K. Georgiev, N. Kosturski, S. Margenov, J. Starý: On adaptive time stepping for large-scale parabolic problems: Computer simulation of heat and mass transfer in vacuum freeze-drying, Journal of Computational and Applied Mathematics (2008), pp. 268-274.
  22. N. Kosturski: MIC(0)-DD Preconditioning of FEM Elasticity Systems on Unstructured Tetrahedral Grids, Large-Scale Scientific Computations 2007, Springer LNCS 4818, pp. 688-695.
  23. K. Georgiev, N. Kosturski, I. Lirkov, and S. Margenov: On the computer simulation of heat and mass transfer in vacuum freeze-drying, Proceedings of the IMCSIT 2007, M. Ganzha, M. Paprzycki, T. Pełech-Pilichowski eds., 2007, pp. 493-502.
  24. K. Georgiev, N. Kosturski, S. Margenov: On the numerical solution of the heat transfer equation in the process of freeze-drying. Some preliminary results, Large-Scale Scientific Computations 2007, Springer LNCS 4818, pp. 410-416.
  25. N. Kosturski, S. Margenov: MIC(0) Preconditioning of Conforming and Non-conforming FEM Problems on Unstructured Grids, Proceedings of SIMONA 2006, M. Hokr ed., Technical University of Liberec, 2006, pp. 78-87.
  26. N. Kosturski, S. Margenov: Comparative Analysis of Mesh Generators and MIC(0) Preconditioning of FEM Elasticity Systems, Numerical Methods and Applications 2006, Springer LNCS 4310, pp. 74-81.
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