Margarita Spiridonova, Assoc. Prof., PhD

 

Institute of Mathematics and Informatics,

Bulgarian Academy of Sciences

 

E-mail: mspirid@math.bas.bg

 

 

Selected papers

 

M. Spiridonova. Languages for Symbolic Information Processing, J. Systems and Management, No 3-4, Sofia, 1975, 29-34 (in Bulgarian)

 

M. Spiridonova. REFAL Language and Translator for Минск 32 Computers, Bulletin of the State Committee for Science and Research, No 10, Sofia, 1977, 12-16 (in Bulgarian)

 

G. Brankov, M.  Spiridonova, K. Ishtev, Ph. Philipov.  Modelling of Building Structure Behaviour under Seismic Loading with Use of an Algebraic Manipulation system, Proc. of the 7-th  European Conference on Earthquake Engineering, Athens, 1982, 585-592

 

V. Томоv, М. Spiridonova, А. Gerov. Capabilities of the Computer Algebra Systems, J. Automated Control Systems, No. 1, 1983, 31-38 (in Bulgarian)

 

M. Spiridonova, Chr. Каzаssov. Computer-aided Symbolic Laplace Transformation, J. Automated Control Systems, No 3, Sofia, 1983, 90-94 (in Bulgarian)

 

A. Gerov, Yu. Kapitonova, M. Spiridonova, V. Tomov. Intelligent Computer Algebra Systems, In: Knowledge Representation in Man-machine and Robotic Systems, Vol. C: Applied Knowledge Based Man-machine Systems, Comp. Center of the Acad. of Sci. of USSR, VINITI, Moscow, 1984, 112-136 (in Russian)

 

V. Томоv, А. Gerov, М. Spiridonova. Computer Algebra Systems, Proc. of the XIV Spring Conf. of the Union of Bulgarian Mathematicians, Sunny Beach, April 6-9, 1985, 92-103 (Inv. paper, in Bulgarian)

 

V. Томоv, М. Spiridonova, А. Gerov, S. Varbanov. Systems for Symbolic and Numerical Computations, III Intern. Summer School on Automation and Instrument-making Industry, Varna, October 24-31, 1984, 245-252 (In Bulgarian)

 

V. Tomov, M. Spiridonova, A. Gerov. Development and Application of Computer Algebra Systems, Proc. of the Intern. Conf. on Automated Research, Plovdiv, October 15-20, 1984, 58-64 (Inv. paper, in Russian)

 

М. Spiridonova. Design and Implementation of Symbolic Transformations Bases Using REDUCE System, Proc. of the Intern. Conf. on Symbolic Computations and Their Application in Theor. Physics, Dubna, Sept. 17-29, 1985, 28-32 (In Russian)

 

М. Spiridonova, M. Djambazova. Development and Application of Mathematical Knowledge Bases Using REDUCE System, Proc. of the Intern. Conf. on Automated Research, Plovdiv, October 15-20, 1984, 463-466 (In Russian)

 

I. Trenkov, M. Spiridonova. Symbolic Computation of the Solutions of High Geodesy Mathematical Problems, Proc. of the Intern. Workshop on Problems and Applications of Artificial Intelligence, Varna, September 21-25, 1987,   (In Russian)

 

M. Spiridonova, M. Nisheva.  Computer Algebra System: State of the Art, Proc. of the Intern. Workshop on Problems and Applications of Artificial Intelligence, Varna, September 21-25, 1987,   (In Russian)

 

M. Spiridonova, M. Nisheva.  Intelligent Computer Algebra Systems and Their Application in Research and Engineering, Proc. of the Intern. Workshop on Theory and Applications of Artificial Intelligence, Sozopol, May 29 – June 2, 1989, 313-318 (In Russian)

 

М. Spiridonova. Some Extensions and Applications of REDUCE System, Proc. of EUROCAL '87, Leipzig, 1987, Lecture Notes in Computer Science, Vol. 378, Springer-Verlag, 1989, 136-137

 

М. Spiridonova, Ch. Dokev, I. Dikov. Power Series Manipulation System, Proc. of the 18th  Spring Conference of the Union of Bulgarian Mathematicians, April 6-9, 1989 г., Albena, 494-497  (In Bulgarian)

 

I. Trenkov, M. Spiridonova, M. Daskalova.  Bases of symbolic transformations for mathematical geodesy problems, Proc. of the Intern. conf. on Computer Algebra  Systems in Phys. Res., Dubna, 1990, New Scientist, Singapore, 1991, 372-376

 

I. Trenkov,  M.  Spiridonova,  M.  Daskalova. An Application of REDUCE System for Solving a Mathematical Geodesy Problem, Proc. of the Intern. Symposium on Symbolic and Algebraic Computation ISSAC'91, July 15-17, 1991, Bonn, Germany, ACM Press, 1991, pp. 448-449

 

M. Spiridonova, I. Dikov, L. Tzonkova. Function Limits Computation Using REDUCE System. Application to Investigation of Rational Functions and Power Series Manipulation, Proc. of the XXI Spring Conference of the Union of Bulgarian Mathematicians, Sofia, 1992, 235-241 (in Bulgarian)

 

M. Spiridonova, J.-A. Desideri. Symbolic Computations for Analysis of  Finite-Difference Schemes by the Modified Equation Approach, Intern. Workshop on Computer Algebra  Applications, Kiev, July 9, 1993, Extended Аbstracts of Contributions, St.Petersburg, 1993, pp. 46-49

 

M. Spiridonova. Computer Algebra System MAPLE - a Convenient Tool for Scientific Computations, Proc. of the Intern. Conference on Mathematical Modelling and Scientific Computation, Sozopol, Bulgaria, September 14-18, 1993, E. Popova (Ed.). Datecs Publ., Sofia, 1993,  54-57

 

M. Daskalova, M. Tomev, M. Spiridonova. Symbolic and Numerical Computations for Mathematical Geodesy Problem Solving by  MGCOMP, Proc. of the First National Conference Informatics'94, Sofia, 1994, 75-82

 

M. Spiridonova, B. Baycheva. Symbolic Computation of the Legendre Transformation, J. Programmirovanie, No 4, 1994, Russian Acad. of Sci., Nauka, Moscow, 1994, 77-85 (in Russian)

 

M. Spiridonova, L. Alamanov, P. Kenderov. Implementation of Convex Analysis Operations Using Maple, W. Kuechlin (Ed.), ISSAC'96 Posters, ETH,  Zurich, July 24-26, 1996, ACM Press, 1996,  79-82.

 

M. Spiridonova. Approaches to Development and Use of Formulae Bases, In: V. Brimkov (Ed.), Artificial Intelligence and Humanities, Proc. of the Intern. Workshop "Applications of Artificial Intelligence Methods in the Humanities", sponsored  by UNESCO-ROSTE, Sozopol, Sept. 18-22, 1996, pp. 132-136

 

M. Spiridonova, J.-A. Desideri. Symbolic Derivation of Linear and Nonlinear Modified (Partial Differential) Equations, In: Mathematics and Education in Mathematics, Proc. of the 27th Spring Conf. of the Union of Bulgarian Mathematicians, Pleven, 1998, 234-238

 

M. Spiridonova. Computer Algebra Systems – a Good Assistant in Mathematics Education, In: Mathematics and Education in Mathematics. Proc. of the 29th Spring Conf. of the Union of Bulgarian Mathematicians, Lovetch, April 3-6, 2000, 67-78 (Plenary talk, in Bulgarian)

 

M. Spiridonova. Some Application Aspects of Computer Algebra Systems, In: Proc. of the Conf. “University of the Third Millennium” devoted to the 10th anniversary of Burgas Free University, V. 2,  Burgas, 2001, 183-188

 

I. Dimovski, M. Spiridonova. Numerical Solution of Boundary Value Problems for the Heat and Related Equations, Computer Algebra and its Application to Physics, Proc. of International Workshop, Dubna, June 28-30, 2001, Ed. V.P.Gerdt, JINR, Dubna, 2002, 32-42

 

I. Dimovski, M. Spiridonova. The Fourier Method and the Problem of its Computer Implementation. In: Mathematics and Education in Mathematics. Proc. of the 32nd Spring Conf. of the Union of Bulgarian Mathematicians, Sofia 2003, 117-127 (Inv. paper)

 

I. Dimovski, M. Spiridonova. Computer Implementation of Solutions of BVP for Finite Vibrating Systems, Proc. of the International Congress MASSEE’2003, September 15-21, 2003, Borovets, Bulgaria, J. Mathematica Balkanica, Vol 18, 2004, Fasc. 3-4, 277-285

 

M. Spiridonova, B. Kuyumdjieva. Computer Algebra Systems as Element of the New Technologies in Education, Proc. of the Second National Conference: The New Technologies in Education and Professional Learning, Plovdiv, 2004, Centre for European Education and Multicultural Communications, Sofia, 2004, 186-194

 

M. Spiridonova. Applied Computer Algebra Microenvironments, J. Mathematica Balkanica, New Series, Vol. 19, Fasc. 3-4 , 2005, 445-452

 

M. Spiridonova. Computation of Periodic Solutions of Differential Equations by the Operational Calculus Approach, In: Mathematics and Education in Mathematics, Proc. of the 34th Spring Conf. of the Union of Bulgarian Mathematicians, Sofia, 2005, 191-195

 

I. Dimovski, M. Spiridonova. Computational Approach to Nonlocal Boundary Value Problems by Multivariate Operational Calculus, Math. Sci. Res. J., V. 9, No 12, 2005, 315-329

 

B. Kuyumdjieva,  Е. Sendova, M. Spiridonova. How to Use Graphics Calculators in Mathematics Lessons, Math. and Education in Math., Proc. of the 36th Spring Conf. of the Union of Bulg. Mathematicians, 2007, 133-135.

 

M. Spiridonova. 260th Anniversary of Laplace, Math. And Education in Math., Proc. of the 38th Spring Conf. of the Union of Bulg. Mathematicians, 2009, 21-27.

 

M. Spiridonova. Operational Methods in the Environment of a Computer Algebra System, Serdica J. Computing 3, 2009, Bulgarian Acad. of Sci., Inst. of Math. and Informatics, 381-424.

 

I. Dimovski, M. Spiridonova. An Implementation of the Heaviside Algorithm, J. Physics of Particles and Nuclei Letters, 2011, Vol. 8, No. 5,  491–493, © Pleiades Publishing, Ltd.

 

I. Dimovski, M. Spiridonova. Operational Calculus Approach to Nonlocal Cauchy Problems, J. Mathematics in Computer Science, Volume 4, Number 2-3, 2011,  243-258, DOI: 10.1007/s11786-010-0054-1

 

I.H. Dimovski, M.N. Spiridonova, Construction of Nonlocal Linear Vibration Models Using a Computer Algebra System. J. Programming and Computer Software, 2011, Vol. 37, No 2, 71-77, © Pleiades Publishing, Ltd., 2011, Original Russian Text published in Programmirovanie, 2011, Vol. 37, No 2, 20-28, DOI: 10.1134/S0361768811020046