Papers in Special Volumes

  1. S. Margenov, N. Popivanov, I. Ugrinova, S. Harizanov, T. Hristov, Mathematical and computer modeling of COVID-19 transmission dynamics in Bulgaria by time-depended inverse SEIR model, AIP Conference Proceedings 2333 (1), 090024, https://doi.org/10.1063/5.0041868
  2. D. Slavchev, S. Margenov, I.G. Georgiev, On the application of recursive bisection and nested dissection reorderings for solving fractional diffusion problems using HSS compression, AIP Conference Proceedings 2302 (1), 120008, https://doi.org/10.1063/5.0034506
  3. S. Harizanov, R. Lazarov, S. Margenov, P. Marinov, The Best Uniform Rational Approximation: Applications to Solving Equations Involving Fractional powers of Elliptic Operators, Lecture Notes in Computer Science and Technologies,9 (2019), pp. 85
  4. S. Margenov, T. Rauber, E. Atanassov, F. Almeida, V. Balanco, R. Ciegis, A. Cabrera, N. Frasheri, S. Harizanov, R. Kriauzien, G. Ruediger, P. San Segundo, R. Starikovicius, S. Szabo, B. Zavalnij, Applications for ultrascale systems, Ultrascale Computing Systems, 24, IET The Institution of Engineering and Technology, 56 (2019), 189-244
  5. D. Slavchev, S. Margenov, Performance Analysis of Intel Xeon Phi MICs and Intel Xeon CPUs for Solving Dense Systems of Linear Algebraic, Advanced Computing in Industrial Mathematics Springer Studies in Computational Intelligence, Vol. 793 (2018), 369-381
  6. D. Slavchev, S. Margenov, Analysis of Hierarchical Compression Parallel Solver for BEM Problems on Intel Xeon CPUs, Numerical Methods and Applications, Springer LNCS, Vol.11189 (2018), 466-473
  7. S. Harizanov, S. Margenov, Positive approximations of the inverse of fractional powers of SPD M-matrices, Control Systems and Mathematical Methods in Economics, Lecture Notes in Economics and Mathematical Systems, Vol. 687, Springer, Cham (2018), 147-163
  8. S. Harizanov, R. Lazarov, S. Margenov, P. Marinov, J. Pasciak, Comparison Analysis of Two Numerical Methods for Fractional Diffusion Problems Based on the Best Rational Approximations of tγ on [0, 1], Chemnitz Fine Element Symposium, Springer Lecture Notes in Computational Science and Engineering, Vol. 128 (2017), 165-185
  9. R. Čiegis, V. Starikovičius, S. Margenov, R. Kriauzienė, A comparison of accuracy and efficiency of parallel solvers for fractional power diffusion problems, International Conference on Parallel Processing and Applied Mathematics, Springer LNCS, Vol. 10777 (2018), 79-89
  10. 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 Computing, Springer LNCS, Vol. 10665 (2017). 304-312
  11. I. Georgiev, E. Ivanov, S. Margenov, Y. Vutov, Numerical Homogenization of Epoxy-Clay Composite Materials, Numerical Methods and Applications, Springer LNCS, Vol. 8962 (2015), 130-137
  12. S. Harizanov, S. Margenov, L. Zikatanov, Fast Constrained Image Segmentation Using Optimal Spanning Trees, Large-Scale Scientific Computing, Springer LNCS, Vol. 9374 (2015), 15-29
  13. N. Kosturski, I. Lirkov, S. Margenov, Y. Vutov, Thermoelectrical Tick Removal Process Modeling, Large-Scale Scientific Computing, Springer LNCS, Vol. 9374 (2015), 369-376
  14. N. Kosturski, S. Margenov, P. Popov, N. Simeonov, Y. Vutov, Performance Analysis of Block AMG Preconditioning of Poroelasticity Equations, Large-Scale Scientific Computing, Springer LNCS, Vol. 9374 (2015), 377-384
  15. S. Stoykov, S. Margenov, Scalability of Shooting Method for Nonlinear Dynamical Systems, Large-Scale Scientific Computing, Springer LNCS, Vol. 9374 (2015), 401-408
  16. S. Stoykov, C. Hofreither, S. Margenov, Isogeometric Analysis for Nonlinear Dynamics of Timoshenko Beams, Numerical Methods and Applications, Springer LNCS, Vol. 8962 (2015), 138-146
  17. N. Kosturski, S. Margenov, and Y. Vutov: Calibration of Parameters for Radio-Frequency Ablation Simulation, LNCS 8353 (2014) ISSN 0302-9743, 611-618
  18. S. Margenov, S. Stoykov, Y. Vutov, Numerical Homogenization of Heterogeneous Anisotropic Linear Elastic Materials, Springer LNCS 8353 (2014) ISSN 0302-9743, 347-354
  19. S. Stoykov, S. Margenov, Nonlinear Forced Vibration Analysis of Elastic Structures by Using Parallel Solvers for Large-Scale Systems,  Springer LNCS (2014) ISSN 0302-9743, 405-412
  20. N. Kosturski, S. Margenov, Y. Vutov, Computer Simulation of RF Liver Ablation on an MRI Scan Data, AIP Conf. Proc. 1487 (2013), 120-126
  21.  J. Kraus, M. Lymbery, S. Margenov, Robust Algebraic Multilevel Preconditioners for Anisotropic Elliptic Problems, In: Numerical Solution of Partial Differential Equations: Theory, Algorithms and their Applications, Springer Proceedings in Mathematics & Statistics (2013), 217-246
  22. R.F. Sviercoski, S. Margenov, Displacement decomposition ACO based preconditioning of FEM elasticity systems, AIP Conf. Proc. 1561 (2013), 112-119, DOI: 10.1063/1.4827220
  23. Kraus, J., Lymbery, M., Margenov, S.: Semi-Coarsening AMLI Preconditioning of Higher Order Elliptic Problems, AIP Conf. Proc. 1487 (2012), 30-41 (2012), DOI: 10.1063/1.4758939
  24. N. Kosturski, S. Margenov, and Y. Vutov, Computer simulation of RF liver ablation on an MRI scan data, AIP Conf. Proc. 1487 (2012), 120-126, ISBN: 978-0-7354-1099-2
  25. N. Kosturski, S. Margenov, and Y. Vutov, Improving the Efficiency of Parallel FEM Simulations on Voxel Domains, LNCS 7116 (2012), 574-581, ISBN 978-3-642-29842-4
  26. N. Kosturski, S. Margenov, Y. Vutov, Balancing the Communications and Computations in Parallel FEM Simulations on Unstructured Grids, PPAM 2011, Part II, LNCS 7204 (2012), 211-220, ISBN 978-3-642-31499-5
  27. P. Boyanova, S. Margenov, On Optimal AMLI Solvers for Incompressible Navier-Stokes Problems, AIP Conference Proceedings 1301 (2011), 457-467, ISSN 0094-243X
  28. I. Georgiev, M. Limbery, S. Margenov, Analysis of the CBS Constant for Quadratic Finite Elements, LNCS 6046, Springer, Heidelberg (2011), 412-419
  29. I. Georgiev, J. Kraus, S. Margenov, Two-level Preconditioning for DG Discretizations of Scalar Elliptic Problems with Discontinuous Coefficients, AIP Conference Proceedings 1404, Melville, New York (2011), 389-396, ISSN 0094-243X
  30. M. Ganzha, K. Georgiev, I. Lirkov, S. Margenov, M. Paprzycki, Highly Parallel Alternating Directions Algorithm for Time Dependent Problems, Application of Mathematics in Technical and Natural Sciences, AIP Conference Proceedings 1404, 210-217
  31. N. Kosturski, S. Margenov, Y. Vutov, Comparison of Two Techniques for Radio-frequency Hepatic Tumor Ablation through Numerical Simulation, AIP Conf. Proc. 1404, 412-419 (2011), DOI:10.1063/1.3659945, ISSN 0094-243X
  32. N. Kosturski, S. Margenov, Supercomputer Simulation of Radio-Frequency Hepatic Tumor Ablation, AIP Conference Proceedings 1301 (2011), 486-493, ISSN 0094-243X
  33. M. Lymbery, S. Margenov, Robust Balanced Semi-Coarsening AMLI Preconditioning of Biquadratic FEM Systems, AIP Proceedings, vol. 1404, 438-447
  34. P. Popov, Y. Vutov, S. Margenov, O. Iliev, Finite Volume Discretization of Equations Describing Nonlinear Diffusion in Li-Ion Batteries, Numerical Methods and Applications, Springer LNCS 6046 (2011), 338-346
  35. P. Boyanova, S. Margenov, Numerical Study of AMLI Methods for Weighted Graph-Laplacians, Springer LNCS 5910 (2010), 84-91
  36. I. Georgiev, J. Kraus, S. Margenov, Multilevel Preconditioning of Crouzeix-Raviart 3D Pure Displacement Elasticity Problems, Springer LNCS 5910 (2010), 100-107
  37. N. Kosturski, S. Margenov, Numerical Homogenization of Bone Microstructure, Springer LNCS 5910 (2010), 93-98
  38. S. Margenov, Y. Vutov, Parallel MIC(0) Preconditioning for Numerical Upscaling of Anisotropic Linear Elastic Materials, Springer LNCS 5910 (2010), 805-812
  39. P. Boyanova, S. Margenov, Multilevel Splitting of Weighted  Graph-Laplacian Arising in Non-conforming Mixed FEM Elliptic Problems, Numerical Analysis and Its Applications, Springer LNCS 5434 (2009), 216-223
  40. I. Georgiev, J. Kraus, S. Margenov, Preconditioning of rotated trilinear non-conforming finite element problems, Springer LNCS 4818,(2008), 86-95
  41. W. Kuranowski, M. Paprzycki, M. Ganzha, M. Gawinecki, I. Lirkov, S. Margenov, Agents as resource brokers in Grids-forming agent teams, Springer LNCS 4818 (2008), 484-491
  42. K. Georgiev, N. Kosturski, S. Margenov, On the numerical solution of the heat transfer equation in the process of freeze drying, Springer LNCS 4818 (2008), 410-416
  43. J. Kraus, S. Margenov, Multilevel methods for anisotropic elliptic problems, Lectures on Advanced Computational Methods in Mechanics, de Gruyter Radon Series on Computational and Applied Mathematics Vol. 1 (2007), 47-88
  44. S. Margenov, J. Synka, Generalized aggregation-based multilevel preconditioning of Crouzeix-Raviart FEM elliptic problems, Springer LNCS 4310 (2007), 91-99
  45. I. Georgiev, J. Kraus, S. Margenov, Multilevel preconditioning of  2D Rannacher-Turek FE problems; additive and multiplicative methods, Springer LNCS 4310 (2007), 56-64
  46. N. Kosturski, S. Margenov, Comparative analysis of mesh generators and MIC(0) preconditioning of FEM elasticity systems, Springer LNCS 4310 (2007), 74-81
  47. R. Blaheta, S. Margenov, M. Neytcheva, Aggregation-based multilevel preconditioning of non-conforming FEM elasticity problems}, Springer LNCS 3732 (2006), 847-856
  48. G. Bencheva, S. Margenov, J. Stary, Parallel PCG solver for nonconforming FEM problems: overlapping of communications and compuations, Springer LNCS 3743 (2006), 646-654
  49. K. Georgiev, S. Margenov, Higher order non-conforming FEM up-winding, Advances in Air Pollution Modelling for Environmental Security, Springer NATO Science Series IV, Vol. 54 (2005), 209-218
  50. K. Georgiev, S. Margenov, V.M. Veliov, Emission control in single species air pollution problems, Advances in Air Pollution Modelling for Environmental Security, Springer NATO Science Series IV, Vol. 54 (2005), 219-228
  51. G. Bencheva, I. Georgiev and S. Margenov, Two-level preconditioning of Crouzeix-Raviart anisotropic FEM systems, Springer LNCS 907 (2004), 76-84
  52. R. Lazarov, S. Margenov, two-level MIC(0) preconditioning of Crouzeix-Raviart nonconforming FEM systems, Springer LNCS 2542 (2003), 192-201
  53. Tz. Kolev, S. Margenov, AMLI preconditionig of non-conforming elasticity FEM systems, Springer LNCS 1988 (2001),482-489
  54. I. Lirkov, S. Margenov, M. Paprzycki, Parallel performance of a 3D elliptic solver, Springer LNCS 1988 (2001), 535-543
  55. I. Lirkov, S. Margenov, Parallel complexity of conjugate gradient method with circulant block-factorization preconditioners for 3D elliptic problems,  Recent advances in numerical methods and applications,  World scientific, Singapore (1999), 455-463
  56. Tz. Kolev, S. Margenov, Multilevel HB preconditioning of non-conforming FEM systems, Recent advances in numerical methods and applications, World scientific, Singapore (1999), 603-610
  57. I. Lirkov, S. Margenov, M. Paprzycki, Benchmarking performance of parallel  computers using a 2D elliptic solver, Recent advances in numerical methods and applications, World scientific, Singapore (1999), 464-472
  58. I. Lirkov, S. Margenov, M. Paprzycki, R. Owens, A shared memory parallel implementation of block circulant preconditioners, Large-Scale Scientific Computations of Engineering and Environmental Problems, Notes on Numerical Fluid Mechanics, V 62, VIEWEG (1998), 319-328
  59. A. Georgiev, S. Margenov, BSR BILU preconditioning for 3D simulation of pile foundation systems in nonlinear media, Large-Scale Scientific Computations of Engineering and Environmental Problems, Notes on Numerical Fluid Mechanics, V 62, VIEWEG(1998), 219-228
  60. S. Margenov, P.S. Vassilevski, Algebraic two-level preconditioning of non-conforming FEM systems, Large-Scale Scientific Computations of Engineering and Environmental Problems, Notes on Numerical Fluid Mechanics, V 62, VIEWEG (1998), 239-248
  61. I. Lirkov, S. Margenov, Displacement decomposition circulant preconditioners for almost  incompressible 2d elasticity systems, Springer LNCS 1196 (1997), 292-299
  62. S. Margenov, L. Xanthis, L. Zikatanov, On the optimality of the semicoarsening AMLI algorithm, in Iterative Methods in Linear Algebra, II, IMACS Series in Computational and Applied Mathematics, New Jersey, USA, Vol.3(1996),  270-27
  63. I. Lirkov, S. Margenov, Parallel complexity of conjugate gradient method with circulant preconditioners, PARCELLA'96, Academie Verlag, Mathematical Research, Vol.96(1996), 279-292
  64. R. Ewing, O. Iliev, S. Margenov, P.S. Vassilevski, A multilevel technique for solving 2D unsteady Navier-Stokes equations}, Adaptive, Multilevel, and Hierarchical Computational Strategies, ed. A.K. Noor, AMD - Vol.157 (1992), 235-247