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. N. Kosturski, S. Margenov: Analysis of BURA and BURA-based approximations of fractional powers of sparse SPD matrices, Fractional Calculus and Applied Analysis (2024).
  2. N. Kosturski, S. Margenov, Y. Vutov: Non-Overlapping Domain Decomposition via BURA Preconditioning of the Schur Complement, Mathematics 2022, 10(13), 2327.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. N. Kosturski, I. Lirkov, S. Margenov, Y. Vutov: Thermoelectrical Tick Removal Process Modeling, Large-Scale Scientific Computations 2015, Springer LNCS 9374, pp. 369-376.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. 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.
  16. 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.
  17. N. Kosturski, S. Margenov: Supercomputer Simulation of Radio-Frequency Hepatic Tumor Ablation, AMiTaNS'10 Proceedings, AIP CP vol. 1301, pp. 486-493.
  18. N. Kosturski, S. Margenov: Numerical Homogenization of Bone Microstructure, Large-Scale Scientific Computations 2009, Springer LNCS 5910, pp. 140-147.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. 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.
  24. 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.
  25. 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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