**American Journal of Mathematics and Statistics**

American Journal of Mathematics and Statistics is to publish well-written original research articles and studies describing the latest research and developments in the field of mathematics and statistics. This is a broad-based journal covering all branches of mathematics, statistics and interdisciplinary research.

**p-ISSN:**2162-948X**e-ISSN:**2162-8475**Website:**http://journal.sapub.org/ajms

## Snezhana Gocheva-Ilieva

**Editorial Board Member of**

*American Journal of Mathematics and Statistics*Head of Academic Department/Faculty, Plovdiv University Paisii Hilendarski, Faculty of Mathematics and Informatics, Department of Applied Mathematics and Modeling, Bulgaria

**Research Areas**

Applied mathematics and modeling, Computational mathematics, Applied and computational statistics, Optimisation

### Education

1981 | Ph.D | Computational Mathematics, Tarass Shevchenko State University of Kiev, Ukraine (1976-1980), Faculty of Cybernetics |

1973 | M.Sc and B.Sc | Computational Mathematics, St. Climent Ohridski University of Sofia, Bulgaria (1968-1973), Faculty of Mathematics and Mechanics |

### Experience

2011-present | Full Professor of Mathematics, Paisii Hilendarski University of Plovdiv, Plovdiv, Bulgaria |

2007-present | Associate Professor of Computational Mathematics, Paisii Hilendarski University of Plovdiv, Plovdiv, Bulgaria, 1985-2011 and Vice-dean of the Faculty of mathematics and informatics, University of Plovdiv |

1990-1994 | Associate Professor of Mathematics, Higher Technical Institute of Gabes, El Manara, Gabes, Tunisia |

1997-2009 | Part-time Associate Professor of Computer Science (French education), Francophone Center, University of Food Technology, Plovdiv, Bulgaria |

2002-2007 | Part-time Associate Professor of Computer Science, Local Center of Distance Education of the Technical University of Varna-brunch Plovdiv, Bulgaria |

2003-2004 | Part-time Associate Professor of Applied Mathematics, Medical University St. George, Plovdiv, Bulgaria |

2002-2003 | Part-time Associate Professor of Computer Science, Center of Market Economics, Plovdiv, Bulgaria (vocational education) |

1973-1974 | Programmer, Institute of information and communications-branch Plovdiv |

### Publications: Journals

[1] | I.P. Iliev, S.G. Gocheva-Ilieva, K.A. Temelkov, N.K. Vuchkov, N.V. Sabotinov, An improved radial temperature model of a high-powered He-SrBr2 laser, J Optics and Laser technology, Elsevier, vol. 43, No 3, 642-647, 2011. |

[2] | I.P.Iliev, S.G.Gocheva-Ilieva, Model of the radial gas-temperature distribution in a copper bromide vapour laser, Quantum Electron., vol. 40, No 6, 479-483, 2010. |

[3] | S.G.Gocheva-Ilieva, I.P.Iliev, Parametric and nonparametric empirical regression models: case study of copper bromide laser generation, Mathematical problems in Engineering, Theory, Methods and Applications, Hindawi Publishing Corporation, New York, NY, Vol. 2010, Article ID 697687, 15 pages. |

[4] | Gocheva-Ilieva S.G., C.P. Kulin, Development of LasSim software prototype for simulating physical characteristics of laser devices, Scientific Works of Plovdiv University, vol. 37, book 3-Mathematics, pp. 45-52. |

[5] | I.P. Iliev, S.G. Gocheva-Ilieva, K.A. Temelkov, N.K. Vuchkov and N.V. Sabotinov, Analytical model of temperature profile for a He-SrBr2 laser, Journal of Optoelectronics and Advanced Materials (JOAM), vol.11, ISS.11-2009, pp. 1735-1742. |

[6] | I.P. Iliev, S.G. Gocheva-Ilieva, N.V. Sabotinov, Modelling of radio-frequency breakdown in argon, Journal of Optoelectronics and Advanced Materials (JOAM), vol.11, ISS.10-2009, pp. 1392-1395. |

[7] | I.P. Iliev, S.G. Gocheva-Ilieva, K.A. Temelkov, N.K. Vuchkov and N.V., Sabotinov, Modeling of the radial heat flow and cooling processes in a deep ultraviolet Cu+ Ne-CuBr laser, Math. Probl. Eng., Theory, Methods and Applications, Hindawi Publishing Corporation, New York, NY, Vol. 2009, Article ID 582732, 17 pages. |

[8] | I.P.Iliev, S.G.Gocheva-Ilieva, N.V.Sabotinov, An improved model of gas temperature in a copper vapour laser, Quantum Electron., vol. 39, N 5, 425-430, 2009. |

[9] | I.P. Iliev, S.G. Gocheva-Ilieva and N.V. Sabotinov, Classification analysis of CuBr laser parameters, Quantum Electron., vol. 39, No 2, 143-146, 2009. |

[10] | I.P. Iliev, S.G. Gocheva-Ilieva, D.N. Astadjov, N.P. Denev and N.V. Sabotinov, Statistical approach in planning experiments with a copper bromide vapor laser, Quantum Electron., vol. 38, No 5, 436-440, 2008. |

[11] | I.P. Iliev, S.G. Gocheva-Ilieva, N. V. Sabotinov, Analytic study of the temperature profile in a copper bromide laser, Quantum Electron., vol. 38, No 4, 338-342, 2008. |

[12] | I.P. Iliev, S.G. Gocheva-Ilieva, D.N. Astadjov, N.P. Denev and N.V. Sabotinov, Statistical analysis of the CuBr laser efficiency improvement, Optics and Laser Technology, Elsevier, vol. 40, No 4, pp. 641-646, 2008. |

[13] | A.Malinova and S. Gocheva-Ilieva, Using the business process execution language for managing scientific processes, Fifth Int. Conf. "Information Research and Applications", i.TECH 2007, 25-30 June Varna, Bulgaria, Proceedings, FOI ITEA, Sofia, vol. 2, pp. 297-303, 2007. |

[14] | I.H. Feschiev and S.G. Gocheva-Ilieva, On the extension of a theorem of Stein and Weiss and its application, Complex Variables, vol. 49, No 10, pp.711-730, August 15, 2004. |

[15] | V.L. Makarov and S.G. Gocheva, Rate of convergence of a mesh method for a Sturm-Liouville problem with a generalized Hermite differential operator, Diff Equat+, (USA), 18 (1983) pp. 813-817, (translated from Differentsialnye Uravnenya 1982). |

[16] | S.G. Gocheva and V.L. Makarov, Mesh method for a Sturm-Liouville problem for a generalized Hermite differential operator, Diff Equat+, USA, 17, 794-802 (1982), translated from Differentsialnye Uravnenya, vol. 17, №7, 1981. |

[17] | V.L. Makarov and S.G.Gocheva, Finite-difference schemes of arbitrary accuracy for second-order differential equations on a half-line, Diff Equat+, USA, 17, 367-377 (1981), translated from Differentsialnye Uravnenya, Minsk, vol.17, issue 3 (1981), 527-540. |

### Publications: Conferences/Workshops/Symposiums

[1] | I.Iliev, S. Gocheva-Ilieva, N. Vuchkov, K. Temelkov, N. Sabotinov, Temperature model of high-powered SrBr2 laser, 2nd Int. Conf. Application of mathematics in technical and natural sciences, Sozopol, 21-26.06.2010, Eds. M.D. Todorov and C.I. Christov, AIP Conf. Proc.-American Institute of Physics, November 25, 2010, Vol. 1301, pp. 138-145, 2010. |

[2] | S.G. Gocheva-Ilieva, I.P.Iliev, Nonlinear regression model of copper bromide laser generation, Proc. of COMPSTAT'2010, Eds. Y. Lechevallier, G. Saporta, 19th International Conference on Computational Statistics, Paris-France, August 22-27, Physica-Verlag, Springer_ebook, pp. 1063-1070, 2010. |

[3] | S.G. Gocheva-Ilieva, I.P.Iliev, Modeling and prediction of laser generation in UV copper bromide laser via MARS, in Advanced research in physics and engineering, series "Mathematics and Computers in Science and Engineering", ed. O. Martin et al., Proceedings of 5th International Conference on Optics, Astrophysics and Astronomy (ICOAA '10), Cambridge, UK, February 20-22, 2010, WSEAS Press, pp.166-171, 2010. |

[4] | S.G. Gocheva-Ilieva, I.P. Iliev, K.A. Temelkov, N.K. Vuchkov, N.V. Sabotinov, Classifying the basic parameters of ultraviolet Copper Bromide laser, AMiTaNS 2009, Sozopol, 22-27 June 2009, AIP Conference Proceedings, eds. M.D.Todorov and C.I.Christov, Melville NY: American Institute of Physics, vol. 1186, pp.413-420, 2009. |

[5] | I.P. Iliev, S.G. Gocheva-Ilieva, N.V. Sabotinov, Prognosis of the Copper Bromide Laser Generation through Statistical Methods: in: XVII Intern. Symposium on Gas Flow and Chemical Lasers & High Power Lasers 2008, September 15-19, Lisbon, Portugal, edited by R. Vidal et al., Proceedings of SPIE, 7131, SPIE, Bellingham, WA, vol. 71311, J1-J8, 2009. |

[6] | S.G. Gocheva-Ilieva, I.P. Iliev, Mathematical modeling of the electric field in a copper bromide laser, Proceedings of Int. Conf. of Numerical Analysis and Applied Mathematics, ICNAAM 2007, September 16-20, 2007, Corfu, Greece, Conference Proceedings of American Institute of Physics (AIP), T. E. Simos, G. Psihoyios and Ch. Tsitouras (Eds.), Springer, New York, vol. CP936, pp. 527-530, 2007. |

[7] | I.P. Iliev, S.G. Gocheva-Ilieva, Statistical techniques for examining copper bromide laser parameters, Proceedings of Int. Conf. of Numerical Analysis and Applied Mathematics, ICNAAM 2007, September 16-20, 2007, Corfu, Greece, Conference Proceedings of American Institute of Physics (AIP), T. E. Simos, G. Psihoyios and Ch. Tsitouras (Eds.), Springer, New York, vol. CP936, pp. 267-270, 2007. |

[8] | A.Malinova and S. Gocheva-Ilieva, Application of the business process execution language for building scientific processes for simulation of metal vapour lasers, Confer. Proceedings of the 3th Balkan Conference in Informatics (BCI'2007), 27-29 September 2007, Sofia, Bulgaria, vol. 2, pp. 75-86, 2007. |

### Publications: Books/Book Chapters

[1] | S.G. Gocheva-Ilieva, I.P. Iliev, Parametric models of characteristics of copper bromide laser, Ed. Univ. of Plovdiv, ISBN: 978-954-423-592-5, 2010 (in Bulgarian). |

[2] | S.G. Gocheva-Ilieva, I.P. Iliev, Statistical models of characteristics of metal vapor lasers, Nova Science Publishers, Inc, ISBN: 978-1-61324-293-3 (in print), 2011 |

[3] | D.T. Boyadzhiev, S.G. Gocheva-Ilieva, I.V. Makrelov, L.I. Popova-Guidebook on Numerical Methods, part I, 3rd edition, Express, Gabrovo, 2010 (in Bulgarian) |

[4] | S.G. Gocheva-Ilieva, Introduction to Mathematica, Express, Gabrovo, 2009. ISBN: 978-954-490-079-3 (in Bulgarian), (see also www.fmi-plovdiv.org/evlm-Teacher's Guide (English version). |

[5] | S.G. Gocheva-Ilieva-Notes on Applied Mathematics for Students in Pharmacology, Textbook for students in Medical University of Plovdiv, Plovdiv, 2003. (in Bulgarian) |

[6] | S. Gocheva-Ilieva, I. Ganchev, D. Georgiev, G. Ilieva-Guidebook on Operating systems, Plovdiv Univ. Press, Plovdiv, 1997. (in Bulgarian) |

[7] | S.G. Hristova, S.G. Gocheva-Ilieva-Application of Computer Science in Biology, Plovdiv Univ. Press, Plovdiv, 1990. (in Bulgarian) |

[8] | S.G. Gocheva-Ilieva, H.D. Krushkov-Computer Science-part III (MS-DOS and Edit), Plovdiv Univ. Press, Plovdiv, 1989. (in Bulgarian). |