S. Markov

发表

Abstracts of the talks

R. Anguelov, S. Markov, 2013 .

INTERVAL DIFFERENTIAL EQUATIONS

S. Markov, 1980 .

Linear Interpolation and Estimation Using Interval Analysis

Svetoslav Markov, Evgenija D. Popova, S. Markov, 1996 .

On linear interpolation under interval data

Svetoslav Markov, Evgenija D. Popova, U. Schneider, 1996 .

A note on the n-stage growth model. Overview

N. Kyurkchiev, A. Iliev, S. Markov, 2018, Biomath Communications.

On the Solution of Linear Algebraic Equations Involving Interval Coefficients

Svetoslav Markov, Evgenija D. Popova, S. Markov, 1996 .

A Note on the Schnute Growth Model

N. Kyurkchiev, A. Iliev, S. Markov, 2016 .

A family of recurrence generated sigmoidal functions based on the Log-logistic function. Some approximation aspects

N. Kyurkchiev, S. Markov, 2018, Biomath Communications.

A NOTE ON THE LOG–LOGISTIC AND TRANSMUTED LOG–LOGISTIC MODELS. SOME APPLICATIONS

N. Kyurkchiev, A. Iliev, S. Markov, 2018, Dynamic Systems and Applications.

On the Algebra of Intervals ∗

S. Markov, 2016 .

QUASIVECTOR SPACES AND THEIR RELATION TO VECTOR SPACES

S. Markov, 2015 .

ANNUAIRE DE L’UNIVERSITÉ DE SOFIA “St. Kl. OHRIDSKI” FACULTÉ DE MATHÉMATIQUE ET INFORMATIQUE ON THE ALGEBRAIC PROPERTIES OF CONVEX BODIES AND RELATED ALGEBRAIC SYSTEMS

S. Markov, J. Tagamlitzki, 2015 .

of Thirty First Spring Conference of the Union of Bulgarian Mathematicians Borovets , April 3 – 6 , 2002 ON THE LINEAR COMBINATIONS OF SYMMETRIC SEGMENTS

S. Markov, D. Claudio, Y. Akyildiz, 2014 .

On the Algebraic Properties of Convex Bodies Svetoslav Markov

S. Markov, 2012 .

Some problems of mathematical modelling in ecology involving uncertainties

S. Markov, Bulgarian, 2015 .

On the numerical solution of the general kinetic “K-angle” reaction system

N. Kyurkchiev, S. Markov, 2016, Journal of Mathematical Chemistry.

On the Mathematical Modelling of EPS Production by a Thermophilic Bacterium

Svetoslav Markov, René Alt, S. Markov, 2014 .

Building Reaction Kinetic Models for Amiloid Fibril Growth

S. Markov, 2016 .

Metabolic Reactions of Henri Type and Their Usage in Metabolic and Cell Growth Models

Stanko Dimitrov, S. Markov, 2015 .

Sigmoidal Functions : Some Computational and Modelling Aspects 1

N. Kyurkchiev, S. Markov, 2015 .

On the mathematical modelling of a batch fermentation process uisng interval data and verification methods

S. Markov, N. Radchenkova, M. Kambourova, 2014 .

On the algebraic Properties of Stochastic Arithmetic. Comparison to Interval Arithmetic

Svetoslav Markov, René Alt, S. Markov, 2001 .

Quasilinear Structures in Stochastic Arithmetic and their Application

J. Lamotte, S. Markov, R. Alt, 2016 .

STOCHASTIC ARITHMETIC, THEORY AND EXPERIMENTS

J. Lamotte, S. Markov, R. Alt, 2010 .

On Some Algebraic Properties of Stochastic Numbers

S. Markov, R. Alt, 2002 .

Hausdorff Continuous Interval Functions and Approximations

Roumen Anguelov, Svetoslav Markov, R. Anguelov, 2014, SCAN.

ON THE APPROXIMATION OF THE CUT FUNCTIONS BY HYPER–LOG–LOGISTIC FUNCTION

N. Kyurkchiev, A. Iliev, S. Markov, 2018 .

Some properties of the Blumberg's hyper-log-logistic curve

N. Kyurkchiev, R. Anguelov, S. Markov, 2018, BIOMATH.

On the Hausdorff distance between the shifted Heaviside step function and the transmuted Stannard growth function

N. Kyurkchiev, A. Iliev, S. Markov, 2016 .

Hausdorff approximation of the sign function by a class of parametric activation functions

N. Kyurkchiev, S. Markov, 2016 .

On the Approximation of the Generalized Cut Function of Degree p+1 By Smooth Sigmoid Functions

N. Kyurkchiev, S. Markov, 2015 .

The dynamics and control of a singular biological economic model with stage structure. Some moduli in programming environment Mathematica

N. Kyurkchiev, S. Markov, Gergana V. Velikova, 2015, Biomath Communications.

On a Singular Bio-economic Model with Stage Structure

N. Kyurkchiev, S. Markov, Gergana V. Velikova, 2015 .

On a Class of Generalized Gompertz-Bateman Growth-decay Models

S. Markov, 2019, Biomath Communications.

On the chemical meaning of some growth models possessing Gompertzian‐type property

N. Kyurkchiev, A. Iliev, R. Anguelov, 2018 .

ON THE APPROXIMATION OF THE GENERALIZED CUT FUNCTION OF DEGREE p+1 BY SMOOTH HYPER–LOG–LOGISTIC FUNCTION

N. Kyurkchiev, A. Iliev, S. Markov, 2018, Dynamic Systems and Applications.

A note on the piecewise smooth modified Schnute growth model. Applications

N. Kyurkchiev, A. Iliev, S. Markov, 2022, Biomath Communications.

Intervals and (non-)negative numbers

S. Markov, 2019, Biomath Communications.

Motion 12 . 03 : Inner addition / subtraction over intervals

S. Markov, N. Dimitrova, N. Hayes, 2010 .

Special Session “Set-Valued Numerics and Reliable Computing” - Sozopol, Bulgaria, June 4–8, 2003

Vladik Kreinovich, Svetoslav Markov, V. Kreinovich, 2004, Reliab. Comput..

Biomathematical Conferences and Schools for Young Scientists at the Bulgarian Academy of Sciences

R. Anguelov, S. Markov, 2015 .

Theoretical and computational studies of some bioreactor models

Svetoslav Markov, René Alt, S. Markov, 2012, Comput. Math. Appl..

Hausdorff Continuous Viscosity Solutions of Hamilton-Jacobi Equations

Roumen Anguelov, Svetoslav Markov, Froduald Minani, 2005, LSSC.

Integrating learning and research at the "Biomath" conference series

R. Anguelov, S. Markov, 2015 .

The two-step exponential decay reaction network: analysis of the solutions and relation to epidemiological SIR models with logistic and Gompertz type infection contact patterns

S. Markov, M. Borisov, 2021, Journal of Mathematical Chemistry.

Reaction networks reveal new links between Gompertz and Verhulst growth functions

S. Markov, 2019, BIOMATH.

The Contribution of T. Sunaga to Interval Analysis and Reliable Computing

Kohshi Okumura, Svetoslav Markov, S. Markov, 1998, SCAN.

Biomathematics and Interval Analysis: A Prosperous Marriage

S. Markov, S. M. Markov, 2010 .

A self-validating numerical method for the matrix exponential

Pavel B. Bochev, Svetoslav Markov, P. Bochev, 1989, Computing.

Mathematical Modelling of Dynamical Processes Under Interval Experimental Data

Svetoslav Markov, S. Markov, 1991 .

On the numerical algorithms formulated in computer arithmetic

Svetoslav Markov, S. Markov, 1983, 1983 IEEE 6th Symposium on Computer Arithmetic (ARITH).

The Set of Hausdorff Continuous Functions— The Largest Linear Space of Interval Functions

Roumen Anguelov, Svetoslav Markov, Blagovest Sendov, 2006, Reliab. Comput..

Calculus for interval functions of a real variable

Svetoslav Markov, S. Markov, 1979, Computing.

Analysis of Biochemical Mechanisms using Mathematica with Applications

Svetoslav Markov, Nikolay Kyurkchiev, Maya Mincheva, 2017, Serdica Journal of Computing.

APPROXIMATION OF THE CUT FUNCTION BY STANNARD AND RICHARD SIGMOID FUNCTIONS

Svetoslav Markov, Anton Iliev, Nikolay Kyurkchiev, 2016 .

Approximation of the Cut Function by Some Generic Logistic Functions and Applications

Svetoslav Markov, Nikolay Kyurkchiev, N. Kyurkchiev, 2016 .

An iterative method for algebraic solution to interval equations

Svetoslav Markov, S. Markov, 1999 .

On quasilinear spaces of convex bodies and intervals

Svetoslav Markov, S. Markov, 2004 .

On the Accuracy of the Solution of Linear Problems on the CELL Processor

Svetoslav Markov, Jean Luc Lamotte, René Alt, 2011, Reliab. Comput..

On the Approximation of the Cut and Step Functions by Logistic and Gompertz Functions

Svetoslav Markov, Anton Iliev, Nikolay Kyurkchiev, 2015 .

Successfully completed contracted project agreement between the NSF (Republic of Bulgaria) and Biomath Forum

M. Roussel, S. Markov, 2016 .

On the approximation of the step function by some sigmoid functions

Nikolay Kyurkchiev, Anton I. Iliev, S. Markov, 2017, Math. Comput. Simul..

On some classes of growth functions and their links to reaction network theory

S. Markov, M. Lazarova, A. Vassilev, 2020 .

Sigmoidal Functions: Some Computational and Modelling Aspects

Svetoslav Markov, Nikolay Kyurkchiev, N. Kyurkchiev, 2015 .

Metabolic rate constants: Some computational aspects

Svetoslav Markov, Stanko Dimitrov, Stanko Dimitrov, 2017, Math. Comput. Simul..

On the Numerical Computation of Enzyme Kinetic Parameters

Svetoslav Markov, Stanko Dimitrov, Venko Beschkov, 2015 .

On the Mathematical Modelling of Microbial Growth: Some Computational Aspects

Svetoslav Markov, S. Markov, 2011, Serdica Journal of Computing.

On the Use of Computer Algebra Systems and Enclosure Methods in the Modelling and Optimization of Biotechnological Processes

Svetoslav Markov, S. Markov, 2005 .

Curve Fitting and Interpolation of Biological Data Under Uncertainties

S. Markov, Y. Akyildiz, S. Markov, 1996, J. Univers. Comput. Sci..

On the algebraic properties of convex bodies and some applications.

Svetoslav Markov, S. Markov, 2000 .

On the Hausdorff distance between the Heaviside step function and Verhulst logistic function

Svetoslav Markov, Nikolay Kyurkchiev, N. Kyurkchiev, 2015, Journal of Mathematical Chemistry.

Computation of Algebraic Solutions to Interval Systems Via Systems of Coordinates

Svetoslav Markov, S. Markov, 2001 .

Some Interpolation Problems Involving Interval Data

Svetoslav Markov, S. Markov, 1993 .

Blagovest Sendov – Pioneer of Mathematical Modeling in Bulgaria

Svetoslav Markov, S. Markov, 2012 .

Estimation and Identification Using Interval Arithmetic

S. Markov, E. Popova, 1992 .

On directed interval arithmetic and its applications

Svetoslav Markov, S. Markov, 1996 .