Lubin G. Vulkov

Orcid: 0000-0003-0684-8574

Affiliations:
  • Rousse University, Bulgaria


According to our database1, Lubin G. Vulkov authored at least 95 papers between 1996 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

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Bibliography

2024
Numerical Algorithms for Identification of Convection Coefficient and Source in a Magnetohydrodynamics Flow.
Algorithms, September, 2024

Inverse Boundary Conditions Interface Problems for the Heat Equation with Cylindrical Symmetry.
Symmetry, August, 2024

Positive Fitted Finite Volume Method for Semilinear Parabolic Systems on Unbounded Domain.
Axioms, August, 2024

Numerical Reconstruction of the Source in Dynamical Boundary Condition of Laplace's Equation.
Axioms, January, 2024

Numerical Analysis of the Transfer Dynamics of Heavy Metals from Soil to Plant and Application to Contamination of Honey.
Symmetry, 2024

2023
Inverse Problem Numerical Analysis of Forager Bee Losses in Spatial Environment without Contamination.
Symmetry, December, 2023

Numerical Solution of the Retrospective Inverse Parabolic Problem on Disjoint Intervals.
Comput., October, 2023

Coefficient identification in a SIS fractional-order modelling of economic losses in the propagation of COVID-19.
J. Comput. Sci., May, 2023

Parameter Estimation Analysis in a Model of Honey Production.
Axioms, February, 2023

Numerical Determination of Time-Dependent Volatility for American Option When the Optimal Exercise Boundary Is Known.
Proceedings of the Large-Scale Scientific Computations - 14th International Conference, 2023

Numerical Determination of Source from Point Observation in a Time-Fractional Boundary-Value Problem on Disjoint Intervals.
Proceedings of the Large-Scale Scientific Computations - 14th International Conference, 2023

Computation of the Unknown Time-Dependent Volatility of American Options from Integral Observations.
Proceedings of the Large-Scale Scientific Computations - 14th International Conference, 2023

2022
Positivity-preserving finite volume difference schemes for atmospheric dispersion models with degenerate vertical diffusion.
Comput. Appl. Math., December, 2022

Parameter Estimation Inspired by Temperature Measurements for a Chemotactic Model of Honeybee Thermoregulation.
Proceedings of the Numerical Methods and Applications - 10th International Conference, 2022

Gradient Optimization in Reconstruction of the Diffusion Coefficient in a Time Fractional Integro-Differential Equation of Pollution in Porous Media.
Proceedings of the Modelling and Development of Intelligent Systems, 2022

Numerical Optimization Identification of a Keller-Segel Model for Thermoregulation in Honey Bee Colonies in Winter.
Proceedings of the Modelling and Development of Intelligent Systems, 2022

2021
Computation of the unknown volatility from integral option price observations in jump-diffusion models.
Math. Comput. Simul., 2021

Fitted finite volume method for indifference pricing in an exponential utility regime-switching model.
J. Comput. Appl. Math., 2021

Fast reconstruction of time-dependent market volatility for European options.
Comput. Appl. Math., 2021

Exponential finite difference scheme for transport equations with discontinuous coefficients in porous media.
Appl. Math. Comput., 2021

Fitted Finite Volume Method for Unsaturated Flow Parabolic Problems with Space Degeneration.
Proceedings of the Large-Scale Scientific Computing - 13th International Conference, 2021

Recovering the Time-Dependent Volatility in Jump-Diffusion Models from Nonlocal Price Observations.
Proceedings of the Large-Scale Scientific Computing - 13th International Conference, 2021

Parameter Identification Approach for a Fractional Dynamics Model of Honeybee Population.
Proceedings of the Large-Scale Scientific Computing - 13th International Conference, 2021

2020
High-accuracy numerical methods for a parabolic system in air pollution modeling.
Neural Comput. Appl., 2020

Computational recovery of time-dependent volatility from integral observations in option pricing.
J. Comput. Sci., 2020

Advanced numerical methods for complex scientific and engineering problems: Editorial introduction.
J. Comput. Appl. Math., 2020

Numerical analysis of one dimensional motion of magma without mass forces.
J. Comput. Appl. Math., 2020

Numerical method for optimal portfolio in an exponential utility regime-switching model.
Int. J. Comput. Math., 2020

Parameter Identification of Colony Collapse Disorder in Honeybees as a Contagion.
Proceedings of the Modelling and Development of Intelligent Systems, 2020

2019
Efficient finite difference method for optimal portfolio in a power utility regime-switching model.
Int. J. Comput. Math., 2019

Valuation of European Options with Liquidity Shocks Switching by Fitted Finite Volume Method.
Proceedings of the Large-Scale Scientific Computing - 12th International Conference, 2019

Weighted Time-Semidiscretization Quasilinearization Method for Solving Rihards' Equation.
Proceedings of the Large-Scale Scientific Computing - 12th International Conference, 2019

Numerical Simulation of Thermoelastic Nonlinear Waves in Fluid Saturated Porous Media with Non-local Darcy Law.
Proceedings of the Advances in High Performance Computing, 2019

Numerical Identification of Time-Dependent Volatility in European Options with Two-Stage Regime-Switching.
Proceedings of the Advances in High Performance Computing, 2019

2018
Fast computational approach to the Delta Greek of non-linear Black-Scholes equations.
J. Comput. Appl. Math., 2018

Positivity Preserving Numerical Method for Optimal Portfolio in a Power Utility Two-Dimensional Regime-Switching Model.
Proceedings of the Numerical Methods and Applications - 9th International Conference, 2018

Front Fixing Finite Difference Method for Pricing a Corporate Bond with Credit Rating Migration.
Proceedings of the Numerical Methods and Applications - 9th International Conference, 2018

Numerical Analysis of a Pollution and Environment Interaction Model.
Proceedings of the Numerical Methods and Applications - 9th International Conference, 2018

Two-Grid Newton Algorithms for a System of Heat Conducting Gas Equations.
Proceedings of the Finite Difference Methods. Theory and Applications, 2018

2017
Fourth-order compact schemes for a parabolic-ordinary system of European option pricing liquidity shocks model.
Numer. Algorithms, 2017

Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations.
J. Comput. Appl. Math., 2017

A numerical study for optimal portfolio regime-switching model I. 2D Black-Scholes equation with an exponential non-linear term.
J. Comput. Appl. Math., 2017

A Unified Numerical Approach for a Large Class of Nonlinear Black-Scholes Models.
Proceedings of the Large-Scale Scientific Computing - 11th International Conference, 2017

Time Discretization/Linearization Approach Based on HOC Difference Schemes for Semilinear Parabolic Systems of Atmosphere Modelling.
Proceedings of the Large-Scale Scientific Computing - 11th International Conference, 2017

2016
IMEX schemes for a parabolic-ODE system of European options with liquidity shocks.
J. Comput. Appl. Math., 2016

A positive flux limited difference scheme for the uncertain correlation 2D Black-Scholes problem.
J. Comput. Appl. Math., 2016

On splitting-based numerical methods for nonlinear models of European options.
Int. J. Comput. Math., 2016

High order finite difference schemes on non-uniform meshes for the time-fractional Black-Scholes equation.
CoRR, 2016

Numerical solution of a parabolic system in air pollution.
CoRR, 2016

Two-grid algorithms for singularly perturbed reaction-diffusion problems on layer adapted meshes.
CoRR, 2016

American Options in an Illiquid Market: Nonlinear Complementary Method.
Proceedings of the Numerical Analysis and Its Applications - 6th International Conference, 2016

Computation of Delta Greek for Non-linear Models in Mathematical Finance.
Proceedings of the Numerical Analysis and Its Applications - 6th International Conference, 2016

2015
Fitted finite volume positive difference scheme for a stationary model of air pollution.
Numer. Algorithms, 2015

Operator splitting kernel based numerical method for a generalized Leland's model.
J. Comput. Appl. Math., 2015

Fully Implicit Time-Stepping Schemes for a Parabolic-ODE System of European Options with Liquidity Shocks.
Proceedings of the Large-Scale Scientific Computing - 10th International Conference, 2015

A Numerical Approach to Price Path Dependent Asian Options.
Proceedings of the Large-Scale Scientific Computing - 10th International Conference, 2015

A Splitting Numerical Method for Primary and Secondary Pollutant Models.
Proceedings of the Large-Scale Scientific Computing - 10th International Conference, 2015

2014
A finite volume difference scheme for a model of settling particle dispersion from an elevated source in an open-channel flow.
Comput. Math. Appl., 2014

Two-Grid Decoupled Method for a Black-Scholes Increased Market Volatility Model.
Proceedings of the Numerical Methods and Applications - 8th International Conference, 2014

2013
Quasilinearization numerical scheme for fully nonlinear parabolic problems with applications in models of mathematical finance.
Math. Comput. Model., 2013

A second-order positivity preserving numerical method for Gamma equation.
Appl. Math. Comput., 2013

A Splitting Numerical Scheme for Non-linear Models of Mathematical Finance.
Proceedings of the Large-Scale Scientific Computing - 9th International Conference, 2013

2012
Boundary Value Problems for Fractional PDE and Their Numerical Approximation.
Proceedings of the Numerical Analysis and Its Applications - 5th International Conference, 2012

Two Splitting Methods for a Fixed Strike Asian Option.
Proceedings of the Numerical Analysis and Its Applications - 5th International Conference, 2012

2011
Convergence of a FEM and two-grid algorithms for elliptic problems on disjoint domains.
J. Comput. Appl. Math., 2011

A Kernel-Based Algorithm for Numerical Solution of Nonlinear PDEs in Finance.
Proceedings of the Large-Scale Scientific Computing - 8th International Conference, 2011

2010
Numerical solution of a two-dimensional hyperbolic transmission problem.
J. Comput. Appl. Math., 2010

Two-grid quasilinearization approach to ODEs with applications to model problems in physics and mechanics.
Comput. Phys. Commun., 2010

A Numerical Study of a Parabolic Monge-Ampère Equation in Mathematical Finance.
Proceedings of the Numerical Methods and Applications - 7th International Conference, 2010

Numerical Solution of a Nonlinear Evolution Equation for the Risk Preference.
Proceedings of the Numerical Methods and Applications - 7th International Conference, 2010

2009
Two-Grid Decoupling Method for Elliptic Problems on Disjoint Domains.
Proceedings of the Large-Scale Scientific Computing, 7th International Conference, 2009

A Two-Grid Method on Layer-Adapted Meshes for a Semilinear 2D Reaction-Diffusion Problem.
Proceedings of the Large-Scale Scientific Computing, 7th International Conference, 2009

2008
A Two-Grid Algorithm for Solution of the Difference Equations of a System of Singularly Perturbed Semilinear Equations.
Proceedings of the Numerical Analysis and Its Applications, 4th International Conference, 2008

A Two-Grid Approximation of an Interface Problem for the Nonlinear Poisson-Boltzmann Equation.
Proceedings of the Numerical Analysis and Its Applications, 4th International Conference, 2008

Finite Element Approximation of an Elliptic Boundary Value Problem with Interface.
Proceedings of the Numerical Analysis and Its Applications, 4th International Conference, 2008

2007
Blow up for some quasilinear equations with dynamical boundary conditions of parabolic type.
Appl. Math. Comput., 2007

High-order finite difference schemes for elliptic problems with intersecting interfaces.
Appl. Math. Comput., 2007

A Second-Order Cartesian Grid Finite Volume Technique for Elliptic Interface Problems.
Proceedings of the Large-Scale Scientific Computing, 6th International Conference, 2007

Uniform Convergence of Finite-Difference Schemes for Reaction-Diffusion Interface Problems.
Proceedings of the Large-Scale Scientific Computing, 6th International Conference, 2007

2006
Numerical Analysis of Blow-Up Weak Solutions to Semilinear Hyperbolic Equations.
Proceedings of the Numerical Methods and Applications, 6th International Conference, 2006

2005
High-order difference schemes based on new Marchuk integral identities for one-dimensional interface problems.
J. Num. Math., 2005

On the blow-up of finite difference solutions to the heat-diffusion equation with semilinear dynamical boundary conditions.
Appl. Math. Comput., 2005

Stability of difference schemes for parabolic equations with dynamical boundary conditions and conditions on conjugation.
Appl. Math. Comput., 2005

2004
The Immersed Interface Method for a Nonlinear Chemical Diffusion Equation with Local Sites of Reactions.
Numer. Algorithms, 2004

Singularly perturbed differential equations with discontinuous coefficients and concentrated factors.
Appl. Math. Comput., 2004

Finite Difference Approximation of an Elliptic Interface Problem with Variable Coefficients.
Proceedings of the Numerical Analysis and Its Applications, Third International Conference, 2004

2003
On the Convergence of Difference Schemes for Hyperbolic Problems with Concentrated Data.
SIAM J. Numer. Anal., 2003

Numerical Solution of a Reaction-Diffusion Elliptic Interface Problem with Strong Anisotropy.
Computing, 2003

Finite Volume Difference Methods for Convection-Dominated Problems with Interface.
Proceedings of the Large-Scale Scientific Computing, 4th International Conference, 2003

2001
On the convergence of finite difference schemes for the heat equation with concentrated capacity.
Numerische Mathematik, 2001

2000
A Method of Lines Approach to the Numerical Solution of Singularly Perturbed Elliptic Problems.
Proceedings of the Numerical Analysis and Its Applications, 2000

Operator's Approach to the Problems with Concentrated Factors.
Proceedings of the Numerical Analysis and Its Applications, 2000

Construction and Convergence of Difference Schemes for a Model Elliptic Equation with Dirac-delta Function Coefficient.
Proceedings of the Numerical Analysis and Its Applications, 2000

1997
Finite Difference Schemes with Variable Weights for Parabolic Equations with Concentrated Capacity.
Proceedings of the Large-Scale Scientific Computation for Engineering and Environmental Problems, 1997

1996
Applications of Steklov-Type Eigenvalue Problems to Convergence of Difference Schemes for Parabolic and Hyperbolic Equations with Dynamical Boundary Conditions.
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996


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