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Markov, Svetoslav Marinovich

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Author ID: markov.svetoslav-m Recent zbMATH articles by "Markov, Svetoslav Marinovich"
Published as: Markov, S.; Markov, S. M.; Markov, Svetoslav; Markov, Svetoslav M.; Markov, Svetoslov
Homepage: http://www.math.bas.bg/~bio/bm-imi/staff/cv-markov.html
External Links: ResearchGate
Documents Indexed: 115 Publications since 1968, including 10 Books
Reviewing Activity: 127 Reviews
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

49 Publications have been cited 224 times in 142 Documents Cited by Year
Calculus for interval functions of a real variable. Zbl 0408.65026
Markov, S.
47
1979
On quasilinear spaces of convex bodies and intervals. Zbl 1046.15002
Markov, Svetoslav
16
2004
On the algebraic properties of convex bodies and some applications. Zbl 0964.52001
Markov, Svetoslav
13
2000
An iterative method for algebraic solution to interval equations. Zbl 0931.65032
Markov, Svetoslav
11
1999
The set of Hausdorff continuous functions – the largest linear space of interval functions. Zbl 1110.65036
Anguelov, Roumen; Markov, Svetoslav; Sendov, Blagovest
10
2006
On directed interval arithmetic and its applications. Zbl 0960.65561
Markov, Svetoslav
10
1995
Extended interval arithmetic. Zbl 0407.65018
Markov, S. M.
8
1977
On the algebraic properties of intervals and some applications. Zbl 0978.65039
Markov, Svetoslav
7
2001
A non-standard subtraction of intervals. Zbl 0429.65039
Markov, Svetoslav M.
7
1977
Computation of algebraic solutions to interval systems via systems of coordinates. Zbl 1391.65131
Markov, Svetoslav
6
2001
Extended interval arithmetics: New results and applications. Zbl 0838.65047
Dimitrova, N. S.; Markov, S. M.; Popova, E. D.
6
1992
Extended interval arithmetic involving infinite intervals. Zbl 0830.65034
Markov, S. M.
6
1992
On the algebraic properties of stochastic arithmetic. Comparison to interval arithmetic. Zbl 1391.65018
Alt, Rene; Markov, Svetoslav
5
2001
The contribution of T. Sunaga to interval analysis and reliable computing. Zbl 0949.65045
Markov, Svetoslav; Okumura, Kohshi
5
1999
Existence and uniqueness of solutions of the interval differential equation X’=F(t,X). Zbl 0411.34080
Markov, S. M.
5
1978
Biomathematics and interval analysis: a prosperous marriage. Zbl 1262.92002
Markov, S. M.
4
2010
On the normed linear space of Hausdorff continuous functions. Zbl 1142.46316
Anguelov, Roumen; Markov, Svetoslav; Sendov, Blagovest
4
2006
On the approximation of the cut and step functions by logistic and Gompertz functions. Zbl 1369.41025
Iliev, Anton; Kyurkchiev, Nikolay; Markov, Svetoslav
3
2015
On quasivector spaces of convex bodies and zonotopes. Zbl 1092.52001
Markov, Svetoslav
3
2004
On the inclusion properties of interval multiplication: A diagrammatic study. Zbl 1038.65042
Kulpa, Z.; Markov, S.
3
2003
On the algebra of intervals and convex bodies. Zbl 0970.65053
Markov, Svetoslav M.
3
1998
On linear interpolation under interval data. Zbl 1080.41501
Markov, S.; Popova, E.; Schneider, U.; Schulze, J.
3
1996
A self-validating numerical method for the matrix exponential. Zbl 0685.65035
Bochev, Pavel; Markov, Svetoslav
3
1989
Some applications of extended interval arithmetic to interval iterations. Zbl 0436.65023
Markov, S. M.
3
1980
On the Hausdorff distance between the Heaviside step function and Verhulst logistic function. Zbl 1349.41025
Kyurkchiev, Nikolay; Markov, Svetoslav
2
2016
On the approximation of the generalized cut function of degree \(p+1\) by smooth sigmoid functions. Zbl 1387.41009
Kyurkchiev, Nikolay; Markov, Svetoslav
2
2015
Hausdorff continuous viscosity solutions of Hamilton-Jacobi equations. Zbl 1280.70011
Anguelov, R.; Markov, S.; Minani, F.
2
2010
Stochastic arithmetic: Addition and multiplication by scalars. Zbl 1060.65047
Markov, Svetoslav; Alt, Rene
2
2004
On directed interval arithmetic and its applications. Zbl 0941.65043
Markov, Svetoslav
2
1996
BIOMATH-95. International symposium and young scientists school on mathematical modelling and information systems in biology, ecology and medicine. Sofia, Bulgaria, August 23–27, 1995. Zbl 0864.00078
Ullrich, Christian (ed.); Markov, S. (ed.)
2
1996
Two interval methods for algebraic equations with real roots. Zbl 0555.65027
Kyurkchiev, Nikolaj V.; Markov, Svetoslav M.
2
1983
On the extended interval arithmetic. Zbl 0435.65040
Markov, S. M.
2
1978
Cell growth models using reaction schemes: batch cultivation. Zbl 1368.92045
Markov, Svetoslav
1
2013
Theoretical and computational studies of some bioreactor models. Zbl 1252.92026
Alt, Rene; Markov, Svetoslav
1
2012
Special issue: Selected papers based on the presentations at the international conference on mathematical methods and models in biosciences and school for young scientists, BIOMATH 2011, Sofia, Bulgaria, June 15–18, 2011. Zbl 1283.00012
Anguelov, Roumen (ed.); Markov, Svetoslav (ed.)
1
2012
On the mathematical modelling of microbial growth: some computational aspects. Zbl 1228.92020
Markov, Svetoslav M.
1
2011
Stochastic arithmetic, theory and experiments. Zbl 1217.65085
Alt, René; Lamotte, Jean-Luc; Markov, Svetoslav
1
2010
Numerical computations with Hausdorff continuous functions. Zbl 1137.65346
Anguelov, Roumen; Markov, Svetoslav
1
2007
Numerical study of algebraic solutions to linear problems involving stochastic parameters. Zbl 1142.65310
Alt, Rene; Lamotte, Jean-Luc; Markov, Svetoslav
1
2006
Stochastic arithmetic: s-spaces and some applications. Zbl 1074.65012
Markov, Svetoslav; Alt, Rene; Lamotte, Jean-Luc
1
2004
The mystery of intervals. Zbl 0979.65040
Markov, Svetoslav
1
2001
On the foundations of interval arithmetic. Zbl 0849.65024
Markov, Svetoslav M.
1
1996
Scientific computation and mathematical modelling. Proceedings of the international conference on mathematical modelling and scientific computation held in Sozopol, Bulgaria, September 14-18, 1993. Zbl 0779.00003
Markov, S. M. (ed.)
1
1993
On the presentation of ranges of monotone functions using interval arithmetic. Zbl 0829.65014
Markov, Svetoslav M.
1
1992
Least-square approximations under interval input data. Zbl 0784.65028
Markov, Svetoslav M.
1
1990
An interval method for systems of ODE. Zbl 0588.65050
Markov, S.; Angelov, R.
1
1986
Interval methods of Newton type for nonlinear equations. Zbl 0557.65028
Dimitrova, Neli S.; Markov, Svetoslav M.
1
1983
On the existence of solutions of interval differential equations and inclusions. Zbl 0533.65054
Angelov, R. A.; Markov, S.
1
1981
Internal differential equations. Zbl 0539.65029
Markov, Svetoslav
1
1980
On the Hausdorff distance between the Heaviside step function and Verhulst logistic function. Zbl 1349.41025
Kyurkchiev, Nikolay; Markov, Svetoslav
2
2016
On the approximation of the cut and step functions by logistic and Gompertz functions. Zbl 1369.41025
Iliev, Anton; Kyurkchiev, Nikolay; Markov, Svetoslav
3
2015
On the approximation of the generalized cut function of degree \(p+1\) by smooth sigmoid functions. Zbl 1387.41009
Kyurkchiev, Nikolay; Markov, Svetoslav
2
2015
Cell growth models using reaction schemes: batch cultivation. Zbl 1368.92045
Markov, Svetoslav
1
2013
Theoretical and computational studies of some bioreactor models. Zbl 1252.92026
Alt, Rene; Markov, Svetoslav
1
2012
Special issue: Selected papers based on the presentations at the international conference on mathematical methods and models in biosciences and school for young scientists, BIOMATH 2011, Sofia, Bulgaria, June 15–18, 2011. Zbl 1283.00012
Anguelov, Roumen (ed.); Markov, Svetoslav (ed.)
1
2012
On the mathematical modelling of microbial growth: some computational aspects. Zbl 1228.92020
Markov, Svetoslav M.
1
2011
Biomathematics and interval analysis: a prosperous marriage. Zbl 1262.92002
Markov, S. M.
4
2010
Hausdorff continuous viscosity solutions of Hamilton-Jacobi equations. Zbl 1280.70011
Anguelov, R.; Markov, S.; Minani, F.
2
2010
Stochastic arithmetic, theory and experiments. Zbl 1217.65085
Alt, René; Lamotte, Jean-Luc; Markov, Svetoslav
1
2010
Numerical computations with Hausdorff continuous functions. Zbl 1137.65346
Anguelov, Roumen; Markov, Svetoslav
1
2007
The set of Hausdorff continuous functions – the largest linear space of interval functions. Zbl 1110.65036
Anguelov, Roumen; Markov, Svetoslav; Sendov, Blagovest
10
2006
On the normed linear space of Hausdorff continuous functions. Zbl 1142.46316
Anguelov, Roumen; Markov, Svetoslav; Sendov, Blagovest
4
2006
Numerical study of algebraic solutions to linear problems involving stochastic parameters. Zbl 1142.65310
Alt, Rene; Lamotte, Jean-Luc; Markov, Svetoslav
1
2006
On quasilinear spaces of convex bodies and intervals. Zbl 1046.15002
Markov, Svetoslav
16
2004
On quasivector spaces of convex bodies and zonotopes. Zbl 1092.52001
Markov, Svetoslav
3
2004
Stochastic arithmetic: Addition and multiplication by scalars. Zbl 1060.65047
Markov, Svetoslav; Alt, Rene
2
2004
Stochastic arithmetic: s-spaces and some applications. Zbl 1074.65012
Markov, Svetoslav; Alt, Rene; Lamotte, Jean-Luc
1
2004
On the inclusion properties of interval multiplication: A diagrammatic study. Zbl 1038.65042
Kulpa, Z.; Markov, S.
3
2003
On the algebraic properties of intervals and some applications. Zbl 0978.65039
Markov, Svetoslav
7
2001
Computation of algebraic solutions to interval systems via systems of coordinates. Zbl 1391.65131
Markov, Svetoslav
6
2001
On the algebraic properties of stochastic arithmetic. Comparison to interval arithmetic. Zbl 1391.65018
Alt, Rene; Markov, Svetoslav
5
2001
The mystery of intervals. Zbl 0979.65040
Markov, Svetoslav
1
2001
On the algebraic properties of convex bodies and some applications. Zbl 0964.52001
Markov, Svetoslav
13
2000
An iterative method for algebraic solution to interval equations. Zbl 0931.65032
Markov, Svetoslav
11
1999
The contribution of T. Sunaga to interval analysis and reliable computing. Zbl 0949.65045
Markov, Svetoslav; Okumura, Kohshi
5
1999
On the algebra of intervals and convex bodies. Zbl 0970.65053
Markov, Svetoslav M.
3
1998
On linear interpolation under interval data. Zbl 1080.41501
Markov, S.; Popova, E.; Schneider, U.; Schulze, J.
3
1996
On directed interval arithmetic and its applications. Zbl 0941.65043
Markov, Svetoslav
2
1996
BIOMATH-95. International symposium and young scientists school on mathematical modelling and information systems in biology, ecology and medicine. Sofia, Bulgaria, August 23–27, 1995. Zbl 0864.00078
Ullrich, Christian (ed.); Markov, S. (ed.)
2
1996
On the foundations of interval arithmetic. Zbl 0849.65024
Markov, Svetoslav M.
1
1996
On directed interval arithmetic and its applications. Zbl 0960.65561
Markov, Svetoslav
10
1995
Scientific computation and mathematical modelling. Proceedings of the international conference on mathematical modelling and scientific computation held in Sozopol, Bulgaria, September 14-18, 1993. Zbl 0779.00003
Markov, S. M. (ed.)
1
1993
Extended interval arithmetics: New results and applications. Zbl 0838.65047
Dimitrova, N. S.; Markov, S. M.; Popova, E. D.
6
1992
Extended interval arithmetic involving infinite intervals. Zbl 0830.65034
Markov, S. M.
6
1992
On the presentation of ranges of monotone functions using interval arithmetic. Zbl 0829.65014
Markov, Svetoslav M.
1
1992
Least-square approximations under interval input data. Zbl 0784.65028
Markov, Svetoslav M.
1
1990
A self-validating numerical method for the matrix exponential. Zbl 0685.65035
Bochev, Pavel; Markov, Svetoslav
3
1989
An interval method for systems of ODE. Zbl 0588.65050
Markov, S.; Angelov, R.
1
1986
Two interval methods for algebraic equations with real roots. Zbl 0555.65027
Kyurkchiev, Nikolaj V.; Markov, Svetoslav M.
2
1983
Interval methods of Newton type for nonlinear equations. Zbl 0557.65028
Dimitrova, Neli S.; Markov, Svetoslav M.
1
1983
On the existence of solutions of interval differential equations and inclusions. Zbl 0533.65054
Angelov, R. A.; Markov, S.
1
1981
Some applications of extended interval arithmetic to interval iterations. Zbl 0436.65023
Markov, S. M.
3
1980
Internal differential equations. Zbl 0539.65029
Markov, Svetoslav
1
1980
Calculus for interval functions of a real variable. Zbl 0408.65026
Markov, S.
47
1979
Existence and uniqueness of solutions of the interval differential equation X’=F(t,X). Zbl 0411.34080
Markov, S. M.
5
1978
On the extended interval arithmetic. Zbl 0435.65040
Markov, S. M.
2
1978
Extended interval arithmetic. Zbl 0407.65018
Markov, S. M.
8
1977
A non-standard subtraction of intervals. Zbl 0429.65039
Markov, Svetoslav M.
7
1977
all top 5

Cited by 198 Authors

11 Markov, Svetoslav Marinovich
10 Chalco-Cano, Yurilev
7 Lodwick, Weldon Alexander
7 van der Walt, Jan Harm
6 Anguelov, Roumen
6 Ngo Van Hoa
5 Alt, René
5 Panda, Geetanjali
5 Stefanini, Luciano
4 Ahmadian, Ali
4 Allahviranloo, Tofigh
4 Costarelli, Danilo
4 Jiménez-Gamero, María Dolores
4 Lupulescu, Vasile
4 Román-Flores, Heriberto E.
4 Salahshour, Soheil
4 Truong Vinh An
3 Abbasbandy, Saeid
3 Baier, Robert
3 Băleanu, Dumitru I.
3 Bede, Barnabás
3 Ghanbari, Mojtaba
3 Ghosh, Debdas
3 Grzybowski, Jerzy
3 Holcapek, Michal
3 Kapturczak, Marta
3 Kużelewski, Andrzej
3 Urbański, Ryszard
3 Vinti, Gianluca
3 Zieniuk, Eugeniusz
2 Arana-Jiménez, Manuel
2 Belkhayat, Alicja Piasecka
2 Boukezzoula, Reda
2 Çakan, Sümeyye
2 Černý, Michal
2 Costa, T. M.
2 Dăneţ, Nicolae
2 Ferrara, Massimiliano
2 Galichet, Sylvie
2 Guerra, Maria Letizia
2 Hladík, Milan
2 Kreinovich, Vladik Yakovlevich
2 Kumar, Pankaj
2 Kyurkchiev, Nikolaĭ Veselinov
2 Lamotte, Jean-Luc
2 O’Regan, Donal
2 Przybycień, Hubert
2 Rodríguez-López, Rosana
2 Rufián-Lizana, Antonio
2 Silva, Geraldo Nunes
2 Torres, Delfim Fernando Marado
2 Vu, Ho
2 Younus, Awais
1 Abbas, Syed
1 Abbas, Umber
1 Abbasi, Fazlollah
1 Agarwal, Ravi P.
1 Alam, Shariful
1 Amrahov, Sahin Emrah
1 An, Tianqing
1 Antoch, Jaromír
1 Asif, Muhammad
1 Aytekin, Şahika
1 Bacovský, Martin
1 Bartholomew-Biggs, Michael C.
1 Berenguer, María Isabel
1 Bhurjee, Ajay Kumar
1 Bica, Alexandru Mihai
1 Bisserier, Amory
1 Bobylev, V. N.
1 Bochev, Pavel B.
1 Borisovich, Yuriĭ Grigor’evich
1 Borzabadi, Akbar Hashemi
1 Bouchon-Meunier, Bernadette
1 Bozorgmanesh, Hassan
1 Brewer, Irina
1 Budak, Hüseyin
1 Çakan, Ümit
1 Chen, Chin-Yun
1 Chronopoulos, Anthony Theodore
1 Coroianu, Lucian C.
1 Cuyt, Annie A. M.
1 Dăneţ, Rodica-Mihaela
1 Davies, Edward Brian
1 Dellnitz, Michael
1 Deschrijver, Dirk
1 Deschrijver, Glad
1 Dhaene, Tom
1 Dimitrova, Neli S.
1 Dubois, Didier
1 Dymova, Ludmila
1 Elmasry, Moheb
1 Fard, Omid Solaymani
1 Farhad, Khurram
1 Fariborzi Araghi, Mohammad Ali
1 Farkhi, Elza M.
1 Fazeli, Seyed Abolfazl Shahzadeh
1 Foucart, Simon
1 Foulloy, Laurent
1 Gal, Sorin Gheorghe
...and 98 more Authors
all top 5

Cited in 64 Serials

24 Fuzzy Sets and Systems
7 Computers & Mathematics with Applications
7 Soft Computing
5 Computing
5 Information Sciences
4 Computational and Applied Mathematics
4 Reliable Computing
4 Advances in Difference Equations
3 Journal of Computational and Applied Mathematics
3 Applied Mathematical Modelling
2 Journal of Mathematical Analysis and Applications
2 Applied Mathematics and Computation
2 Mathematics and Computers in Simulation
2 Opsearch
2 International Journal of Approximate Reasoning
2 Numerical Algorithms
2 Linear Algebra and its Applications
2 Engineering Analysis with Boundary Elements
2 Journal of Mathematical Chemistry
2 Abstract and Applied Analysis
2 Positivity
2 Communications in Nonlinear Science and Numerical Simulation
2 Journal of Intelligent and Fuzzy Systems
2 Fuzzy Optimization and Decision Making
1 Chaos, Solitons and Fractals
1 Czechoslovak Mathematical Journal
1 Journal of Approximation Theory
1 Journal of Soviet Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Quaestiones Mathematicae
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Ricerche di Matematica
1 Semigroup Forum
1 Systems & Control Letters
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 Journal of Complexity
1 Journal of Integral Equations and Applications
1 Japan Journal of Industrial and Applied Mathematics
1 Journal of Global Optimization
1 International Journal of Computer Mathematics
1 Foundations of Computing and Decision Sciences
1 Advances in Computational Mathematics
1 Complexity
1 Mathematical Methods of Operations Research
1 Journal of Inequalities and Applications
1 Mathematical Inequalities & Applications
1 Chaos
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Erkenntnis
1 Sādhanā
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Applied Mathematics and Computing
1 Journal of Fixed Point Theory and Applications
1 Advances in Fuzzy Systems
1 Set-Valued and Variational Analysis
1 Axioms
1 Journal of the Operations Research Society of China
1 Fractional Differential Calculus
1 Journal of Computational Dynamics
1 International Journal of Applied and Computational Mathematics
all top 5

Cited in 36 Fields

57 Numerical analysis (65-XX)
27 Real functions (26-XX)
19 Ordinary differential equations (34-XX)
14 Operations research, mathematical programming (90-XX)
12 Mathematical logic and foundations (03-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Approximations and expansions (41-XX)
9 Functional analysis (46-XX)
9 Computer science (68-XX)
8 Partial differential equations (35-XX)
8 General topology (54-XX)
7 Operator theory (47-XX)
6 Measure and integration (28-XX)
6 Biology and other natural sciences (92-XX)
5 Integral equations (45-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Convex and discrete geometry (52-XX)
4 Probability theory and stochastic processes (60-XX)
4 Systems theory; control (93-XX)
3 General algebraic systems (08-XX)
3 Group theory and generalizations (20-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Statistics (62-XX)
2 General and overarching topics; collections (00-XX)
2 Topological groups, Lie groups (22-XX)
2 Special functions (33-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Information and communication theory, circuits (94-XX)
1 Associative rings and algebras (16-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)

Citations by Year