Edit Profile Vulkov, Lubin G. Compute Distance To: Compute Author ID: vulkov.lubin-g Published as: Vulkov, L.; Vulkov, L. G.; Vulkov, Lubin; Vulkov, Lubin G. Documents Indexed: 125 Publications since 1980, including 10 Books all top 5 Co-Authors 9 single-authored 36 Koleva, Miglena N. 28 Jovanović, Boško S. 11 Kandilarov, Juri D. 8 Dimov, Ivan Todor 7 Angelova, Ivanka Tr. 7 Chernogorova, Tatiana P. 6 Braianov, Ilia A. 6 Faragó, István 5 Mudzimbabwe, Walter 4 Waśniewski, Jerzy 4 Zadorin, Aleksandr Ivanovich 2 Dimitrova, Ivanka Tr. 2 Hieu, Le Minh 2 Ishimura, Naoyuki 2 Li, Zhilin 2 Matus, Pëtr Paŭlavich 2 Todorov, Venelin 2 Yalamov, Plamen Y. 1 D’Ambra, Pasqua 1 Delić, Aleksandra 1 Dimitrova, St. 1 Gegovska-Zajkova, Sonja 1 Georgiev, Slavi G. 1 Gyulov, T. B. 1 Ivanov, Yu. N. 1 Kolev, Mikhail K. 1 Margenov, Svetozar D. 1 Nikolov, Blagovest A. 1 Poveschenko, Yuri 1 Radkova, M. T. 1 Samarskiĭ, Aleksandr Andreevich 1 Shaĭdurov, Vladimir Victorovich 1 Vabishchevich, Pëtr Nikolaevich 1 Zlatev, Zahari all top 5 Serials 11 Journal of Computational and Applied Mathematics 8 Lecture Notes in Computer Science 6 Applied Mathematics and Computation 4 Godshnik na Visshite Uchebni Zavedeniya. Prilozhna Matematika 3 Numerical Algorithms 3 Computational Methods in Applied Mathematics 2 Applicable Analysis 2 Journal of Mathematical Analysis and Applications 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Quarterly of Applied Mathematics 2 Applied Numerical Mathematics 2 Numerical Methods for Partial Differential Equations 2 Computational Mathematics and Mathematical Physics 2 Filomat 2 International Journal of Numerical Analysis and Modeling 2 Applied and Computational Mathematics 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 IMA Journal of Numerical Analysis 1 Journal of Theoretical and Applied Mechanics (Sofia) 1 Computing 1 Matematichki Vesnik 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Mathematical and Computer Modelling 1 Doklady Bolgarskoĭ Akademii Nauk 1 International Journal of Computer Mathematics 1 Computational and Applied Mathematics 1 Nonlinear Analysis. Real World Applications 1 Kragujevac Journal of Mathematics 1 Journal of Numerical Mathematics 1 Central European Journal of Mathematics 1 Doklady Natsional’noĭ Akademii Nauk Belarusi 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 International Journal of Numerical Analysis and Modeling. Series B all top 5 Fields 103 Numerical analysis (65-XX) 68 Partial differential equations (35-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Fluid mechanics (76-XX) 11 General and overarching topics; collections (00-XX) 9 Ordinary differential equations (34-XX) 4 Mechanics of deformable solids (74-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Biology and other natural sciences (92-XX) 2 Geophysics (86-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 69 Publications have been cited 222 times in 141 Documents Cited by ▼ Year ▼ The immersed interface method for two-dimensional heat-diffusion equations with singular own sources. Zbl 1118.65095Kandilarov, Juri D.; Vulkov, Lubin G. 14 2007 On the convergence of finite difference schemes for the heat equation with concentrated capacity. Zbl 0993.65100Jovanovic, B. S.; Vulkov, L. G. 12 2001 Quasilinearization numerical scheme for fully nonlinear parabolic problems with applications in models of mathematical finance. Zbl 1286.65100Koleva, Miglena N.; Vulkov, Lubin G. 11 2013 The immersed interface method for a nonlinear chemical diffusion equation with local sites of reactions. Zbl 1074.65102Kandilarov, Juri D.; Vulkov, Lubin G. 11 2004 Numerical solution of time-fractional Black-Scholes equation. Zbl 1410.91488Koleva, Miglena N.; Vulkov, Lubin G. 7 2017 Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations. Zbl 1348.65118Matus, Piotr; Hieu, Le Minh; Vulkov, Lubin G. 6 2017 Two-grid quasilinearization approach to ODEs with applications to model problems in physics and mechanics. Zbl 1205.65217Koleva, Miglena N.; Vulkov, Lubin G. 6 2010 On the convergence of difference schemes for hyperbolic problems with concentrated data. Zbl 1050.65082Jovanovic, Bosko S.; Vulkov, Lubin G. 6 2003 Uniform in a small parameter convergence of Samarskii’s monotone scheme and its modification for the convection-diffusion equation with a concentrated source. Zbl 0994.65109Braianov, I. A.; Vulkov, L. G. 6 2000 IMEX schemes for a parabolic-ODE system of European options with liquidity shocks. Zbl 1331.91193Mudzimbabwe, Walter; Vulkov, Lubin 5 2016 A finite volume difference scheme for a model of settling particle dispersion from an elevated source in an open-channel flow. Zbl 1368.65154Chernogorova, T.; Vulkov, L. 5 2014 Numerical solution via transformation methods of nonlinear models in option pricing. Zbl 1230.91190Ishimura, N.; Koleva, M. N.; Vulkov, L. G. 5 2010 Numerical solution of a reaction-diffusion elliptic interface problem with strong anisotropy. Zbl 1034.65087Braianov, I.; Vulkov, L. 5 2003 On splitting-based numerical methods for nonlinear models of European options. Zbl 1386.91163Koleva, Miglena N.; Vulkov, Lubin G. 4 2016 A second-order positivity preserving numerical method for gamma equation. Zbl 1329.91140Koleva, Miglena N.; Vulkov, Lubin G. 4 2013 Two-grid algorithms for an ordinary second order equation with an exponential boundary layer in the solution. Zbl 1205.65220Vulkov, Lubin; Zadorin, Alexander 4 2010 Numerical solution of a hyperbolic transmission problem. Zbl 1202.65111Jovanović, B. S.; Vulkov, L. G. 4 2008 High-order finite difference schemes for elliptic problems with intersecting interfaces. Zbl 1120.65331Angelova, Ivanka Tr.; Vulkov, Lubin G. 4 2007 Blow-up of continuous and semidiscrete solutions to elliptic equations with semilinear dynamical boundary conditions of parabolic type. Zbl 1116.65109Koleva, Miglena; Vulkov, Lubin 4 2007 Finite difference approximation of an elliptic interface problem with variable coefficients. Zbl 1118.65373Jovanović, Boško S.; Vulkov, Lubin G. 4 2005 Singularly perturbed differential equations with discontinuous coefficients and concentrated factors. Zbl 1071.34053Angelova, Ivanka Tr.; Vulkov, Lubin G. 4 2004 Operator approach to the problems with concentrated factors. Zbl 0978.65073Jovanović, Boško S.; Vulkov, Lubin G. 4 2001 Construction and implementation of finite-difference schemes for systems of diffusion equations with localized chemical reactions. Zbl 0993.65093Vulkov, L. G.; Kandilarov, J. D. 4 2000 Well posedness and comparison principle for option pricing with switching liquidity. Zbl 1394.35514Gyulov, T. B.; Vulkov, L. G. 3 2018 Fourth-order compact schemes for a parabolic-ordinary system of European option pricing liquidity shocks model. Zbl 1354.91166Koleva, Miglena N.; Mudzimbabwe, Walter; Vulkov, Lubin G. 3 2017 Fitted finite volume positive difference scheme for a stationary model of air pollution. Zbl 1325.65146Chernogorova, Tatiana; Vulkov, Lubin 3 2015 Boundary value problems for fractional PDE and their numerical approximation. Zbl 1351.35252Jovanović, Boško S.; Vulkov, Lubin G.; Delić, Aleksandra 3 2013 Numerical solution of a parabolic transmission problem. Zbl 1215.65141Jovanović, Boško S.; Vulkov, Lubin G. 3 2011 Finite difference approximations for some interface problems with variable coefficients. Zbl 1158.65059Jovanović, Boško S.; Vulkov, Lubin G. 3 2009 Comparison of the two-grid method on different meshes for singularly perturbed semilinear problems. Zbl 1179.65095Angelova, I. T.; Vulkov, L. G. 3 2008 Two-grid interpolation algorithms for difference schemes of exponential type for semilinear diffusion convection-dominated equations. Zbl 1178.65094Vulkov, L. G.; Zadorin, A. I. 3 2008 Finite difference approximation of strong solutions of a parabolic interface problem on disconnected domains. Zbl 1199.65274Jovanović, Boško S.; Vulkov, Lubin G. 3 2008 On the blow up of finite difference solutions to the heat-diffusion equation with semilinear dynamical boundary conditions. Zbl 1059.65074Koleva, Miglena N.; Vulkov, Lubin G. 3 2005 Analysis of immersed interface difference schemes for reaction-diffusion problems with singular own sources. Zbl 1040.65065Kandilarov, Juri D.; Vulkov, Lubin G. 3 2003 Finite difference methods: theory and applications. Proceedings of the 1st conference on finite difference methods held in Rousse, Bulgaria, August 10–13, 1997. Zbl 0954.00042Samarskiĭ, A. A. (ed.); Vabishchevich, Petr N. (ed.); Vulkov, Lubin G. (ed.) 3 1999 Grid approximation for the solution of the singularly perturbed heat equation with concentrated capacity. Zbl 0943.65095Braianov, Ilia A.; Vulkov, Lubin G. 3 1999 Maximum principle for finite-difference schemes with non sigh-constant input data. Zbl 1372.65237Matus, P. P.; Hieu, L. M.; Vulkov, L. G. 2 2015 Operator splitting kernel based numerical method for a generalized Leland’s model. Zbl 1334.65132Koleva, Miglena N.; Vulkov, Lubin G. 2 2015 Two positivity preserving flux limited, second-order numerical methods for a haptotaxis model. Zbl 1282.92017Kolev, Mikhail K.; Koleva, Miglena N.; Vulkov, Lubin G. 2 2013 Numerical solution of a nonlinear evolution equation for the risk preference. Zbl 1318.65076Ishimura, Naoyuki; Koleva, Miglena N.; Vulkov, Lubin G. 2 2011 Blow up for some quasilinear equations with dynamical boundary conditions of parabolic type. Zbl 1193.35093Vulkov, Lubin G. 2 2007 Numerical solution of the heat equation with nonlinear boundary conditions in unbounded domains. Zbl 1119.65087Koleva, Miglena; Vulkov, Lubin 2 2007 Finite volume difference methods for convection-dominated problems with interface. Zbl 1151.76526Brayanov, Iliya A.; Vulkov, Lubin G. 2 2004 Construction and convergence of difference schemes for a model elliptic equation with Dirac-delta function coefficient. Zbl 0978.65098Jovanović, B. S.; Kandilarov, J. D.; Vulkov, L. G. 2 2001 Finite difference schemes with variable weights for parabolic equations with concentrated capacity. Zbl 0912.65074Braianov, Ilia A.; Vulkov, Lubin G. 2 1998 On the conservation laws of the compressible Euler equations. Zbl 0884.35094Vulkov, Lubin G. 2 1997 Conservation laws in nonlinear elasticity. I: One-dimensional elastodynamics. Zbl 0838.73018Vulkov, L. G. 2 1994 Positivity preserving numerical method for optimal portfolio in a power utility two-dimensional regime-switching model. Zbl 07062855Koleva, Miglena N.; Vulkov, Lubin G. 1 2019 Numerical analysis of a pollution and environment interaction model. Zbl 07062850Dimov, Ivan; Kandilarov, Juri; Todorov, Venelin; Vulkov, Lubin 1 2019 Fast computational approach to the delta Greek of non-linear Black-Scholes equations. Zbl 1432.91139Koleva, Miglena N.; Vulkov, Lubin G. 1 2018 Computation of delta Greek for non-linear models in mathematical finance. Zbl 1367.91195Koleva, Miglena N.; Vulkov, Lubin G. 1 2017 A numerical study for optimal portfolio regime-switching model. I: 2D Black-Scholes equation with an exponential non-linear term. Zbl 1364.35376Koleva, Miglena N.; Vulkov, Lubin G. 1 2017 A splitting flux limiter finite difference scheme for the nonlinear Black-Scholes equation. Zbl 1335.91104Koleva, Miglena N.; Vulkov, Lubin G. 1 2014 Numerical study of a settling particles dispersion from an elevated source in a open-channel flow. Zbl 1313.76049Chernogorova, Tatiana; Vulkov, Lubin 1 2014 Two splitting methods for a fixed strike Asian option. Zbl 1352.91033Chernogorova, Tatiana P.; Vulkov, Lubin G. 1 2013 Formulation and analysis of a parabolic transmission problem on disjoint intervals. Zbl 1299.35149Jovanović, Boško S.; Vulkov, Lubin G. 1 2012 A kernel-based algorithm for numerical solution of nonlinear PDEs in finance. Zbl 1354.91167Koleva, Miglena N.; Vulkov, Lubin G. 1 2012 Convergence of a FEM and two-grid algorithms for elliptic problems on disjoint domains. Zbl 1230.65129Jovanovic, Boško S.; Koleva, Miglena N.; Vulkov, Lubin G. 1 2011 A numerical study of a parabolic Monge-Ampère equation in mathematical finance. Zbl 1318.91197Koleva, Miglena N.; Vulkov, Lubin G. 1 2011 A two-grid method on layer-adapted meshes for a semilinear 2D reaction-diffusion problem. Zbl 1280.35064Angelova, Ivanka T.; Vulkov, Lubin G. 1 2010 A two-grid approximation of an interface problem for the nonlinear Poisson-Boltzmann equation. Zbl 1233.65091Koleva, Miglena N.; Vulkov, Lubin G. 1 2009 Numerical analysis and its applications. 4th international conference, NAA 2008, Lozenetz, Bulgaria, June 16–20, 2008. Revised selected papers. Zbl 1157.65002Margenov, Svetozar (ed.); Vulkov, Lubin G. (ed.); Waśniewski, Jerzy (ed.) 1 2009 Well posedness and a monotone iterative method for a nonlinear interface problem on disjoint intervals. Zbl 1179.65092Vulkov, L. G. 1 2007 Marchuk identity-type second order difference schemes of 2-D and 3-D elliptic problems with intersected interfaces. Zbl 1199.65358Angelova, Ivanka Tr.; Vulkov, Lubin G. 1 2007 Energy stability for a class of two-dimensional interface linear parabolic problems. Zbl 1074.35043Jovanović, Boško S.; Vulkov, Lubin G. 1 2005 Stability of difference schemes for parabolic equations with dynamical boundary conditions and conditions on conjugation. Zbl 1081.65089Jovanović, Bosko S.; Vulkov, Lubin G. 1 2005 High order \(\varepsilon\)-uniform methods for singularly perturbed reaction-diffusion problems with discontinuous coefficients and singular sources. Zbl 1032.65090Dimitrova, Ivanka Tr.; Vulkov, Lubin G. 1 2001 A method of lines approach to the numerical solution of singular perturbed elliptic problems. Zbl 0978.65113Kandilarov, J. D.; Vulkov, L. G.; Zadorin, A. I. 1 2001 Numerical analysis and its applications. 2nd international conference, NAA 2000, Rousse, Bulgaria, June 11–15, 2000. Revised papers. Zbl 0958.00035Vulkov, Lubin (ed.); Waśniewski, Jerzy (ed.); Yalamov, Plamen (ed.) 1 2001 Positivity preserving numerical method for optimal portfolio in a power utility two-dimensional regime-switching model. Zbl 07062855Koleva, Miglena N.; Vulkov, Lubin G. 1 2019 Numerical analysis of a pollution and environment interaction model. Zbl 07062850Dimov, Ivan; Kandilarov, Juri; Todorov, Venelin; Vulkov, Lubin 1 2019 Well posedness and comparison principle for option pricing with switching liquidity. Zbl 1394.35514Gyulov, T. B.; Vulkov, L. G. 3 2018 Fast computational approach to the delta Greek of non-linear Black-Scholes equations. Zbl 1432.91139Koleva, Miglena N.; Vulkov, Lubin G. 1 2018 Numerical solution of time-fractional Black-Scholes equation. Zbl 1410.91488Koleva, Miglena N.; Vulkov, Lubin G. 7 2017 Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations. Zbl 1348.65118Matus, Piotr; Hieu, Le Minh; Vulkov, Lubin G. 6 2017 Fourth-order compact schemes for a parabolic-ordinary system of European option pricing liquidity shocks model. Zbl 1354.91166Koleva, Miglena N.; Mudzimbabwe, Walter; Vulkov, Lubin G. 3 2017 Computation of delta Greek for non-linear models in mathematical finance. Zbl 1367.91195Koleva, Miglena N.; Vulkov, Lubin G. 1 2017 A numerical study for optimal portfolio regime-switching model. I: 2D Black-Scholes equation with an exponential non-linear term. Zbl 1364.35376Koleva, Miglena N.; Vulkov, Lubin G. 1 2017 IMEX schemes for a parabolic-ODE system of European options with liquidity shocks. Zbl 1331.91193Mudzimbabwe, Walter; Vulkov, Lubin 5 2016 On splitting-based numerical methods for nonlinear models of European options. Zbl 1386.91163Koleva, Miglena N.; Vulkov, Lubin G. 4 2016 Fitted finite volume positive difference scheme for a stationary model of air pollution. Zbl 1325.65146Chernogorova, Tatiana; Vulkov, Lubin 3 2015 Maximum principle for finite-difference schemes with non sigh-constant input data. Zbl 1372.65237Matus, P. P.; Hieu, L. M.; Vulkov, L. G. 2 2015 Operator splitting kernel based numerical method for a generalized Leland’s model. Zbl 1334.65132Koleva, Miglena N.; Vulkov, Lubin G. 2 2015 A finite volume difference scheme for a model of settling particle dispersion from an elevated source in an open-channel flow. Zbl 1368.65154Chernogorova, T.; Vulkov, L. 5 2014 A splitting flux limiter finite difference scheme for the nonlinear Black-Scholes equation. Zbl 1335.91104Koleva, Miglena N.; Vulkov, Lubin G. 1 2014 Numerical study of a settling particles dispersion from an elevated source in a open-channel flow. Zbl 1313.76049Chernogorova, Tatiana; Vulkov, Lubin 1 2014 Quasilinearization numerical scheme for fully nonlinear parabolic problems with applications in models of mathematical finance. Zbl 1286.65100Koleva, Miglena N.; Vulkov, Lubin G. 11 2013 A second-order positivity preserving numerical method for gamma equation. Zbl 1329.91140Koleva, Miglena N.; Vulkov, Lubin G. 4 2013 Boundary value problems for fractional PDE and their numerical approximation. Zbl 1351.35252Jovanović, Boško S.; Vulkov, Lubin G.; Delić, Aleksandra 3 2013 Two positivity preserving flux limited, second-order numerical methods for a haptotaxis model. Zbl 1282.92017Kolev, Mikhail K.; Koleva, Miglena N.; Vulkov, Lubin G. 2 2013 Two splitting methods for a fixed strike Asian option. Zbl 1352.91033Chernogorova, Tatiana P.; Vulkov, Lubin G. 1 2013 Formulation and analysis of a parabolic transmission problem on disjoint intervals. Zbl 1299.35149Jovanović, Boško S.; Vulkov, Lubin G. 1 2012 A kernel-based algorithm for numerical solution of nonlinear PDEs in finance. Zbl 1354.91167Koleva, Miglena N.; Vulkov, Lubin G. 1 2012 Numerical solution of a parabolic transmission problem. Zbl 1215.65141Jovanović, Boško S.; Vulkov, Lubin G. 3 2011 Numerical solution of a nonlinear evolution equation for the risk preference. Zbl 1318.65076Ishimura, Naoyuki; Koleva, Miglena N.; Vulkov, Lubin G. 2 2011 Convergence of a FEM and two-grid algorithms for elliptic problems on disjoint domains. Zbl 1230.65129Jovanovic, Boško S.; Koleva, Miglena N.; Vulkov, Lubin G. 1 2011 A numerical study of a parabolic Monge-Ampère equation in mathematical finance. Zbl 1318.91197Koleva, Miglena N.; Vulkov, Lubin G. 1 2011 Two-grid quasilinearization approach to ODEs with applications to model problems in physics and mechanics. Zbl 1205.65217Koleva, Miglena N.; Vulkov, Lubin G. 6 2010 Numerical solution via transformation methods of nonlinear models in option pricing. Zbl 1230.91190Ishimura, N.; Koleva, M. N.; Vulkov, L. G. 5 2010 Two-grid algorithms for an ordinary second order equation with an exponential boundary layer in the solution. Zbl 1205.65220Vulkov, Lubin; Zadorin, Alexander 4 2010 A two-grid method on layer-adapted meshes for a semilinear 2D reaction-diffusion problem. Zbl 1280.35064Angelova, Ivanka T.; Vulkov, Lubin G. 1 2010 Finite difference approximations for some interface problems with variable coefficients. Zbl 1158.65059Jovanović, Boško S.; Vulkov, Lubin G. 3 2009 A two-grid approximation of an interface problem for the nonlinear Poisson-Boltzmann equation. Zbl 1233.65091Koleva, Miglena N.; Vulkov, Lubin G. 1 2009 Numerical analysis and its applications. 4th international conference, NAA 2008, Lozenetz, Bulgaria, June 16–20, 2008. Revised selected papers. Zbl 1157.65002Margenov, Svetozar (ed.); Vulkov, Lubin G. (ed.); Waśniewski, Jerzy (ed.) 1 2009 Numerical solution of a hyperbolic transmission problem. Zbl 1202.65111Jovanović, B. S.; Vulkov, L. G. 4 2008 Comparison of the two-grid method on different meshes for singularly perturbed semilinear problems. Zbl 1179.65095Angelova, I. T.; Vulkov, L. G. 3 2008 Two-grid interpolation algorithms for difference schemes of exponential type for semilinear diffusion convection-dominated equations. Zbl 1178.65094Vulkov, L. G.; Zadorin, A. I. 3 2008 Finite difference approximation of strong solutions of a parabolic interface problem on disconnected domains. Zbl 1199.65274Jovanović, Boško S.; Vulkov, Lubin G. 3 2008 The immersed interface method for two-dimensional heat-diffusion equations with singular own sources. Zbl 1118.65095Kandilarov, Juri D.; Vulkov, Lubin G. 14 2007 High-order finite difference schemes for elliptic problems with intersecting interfaces. Zbl 1120.65331Angelova, Ivanka Tr.; Vulkov, Lubin G. 4 2007 Blow-up of continuous and semidiscrete solutions to elliptic equations with semilinear dynamical boundary conditions of parabolic type. Zbl 1116.65109Koleva, Miglena; Vulkov, Lubin 4 2007 Blow up for some quasilinear equations with dynamical boundary conditions of parabolic type. Zbl 1193.35093Vulkov, Lubin G. 2 2007 Numerical solution of the heat equation with nonlinear boundary conditions in unbounded domains. Zbl 1119.65087Koleva, Miglena; Vulkov, Lubin 2 2007 Well posedness and a monotone iterative method for a nonlinear interface problem on disjoint intervals. Zbl 1179.65092Vulkov, L. G. 1 2007 Marchuk identity-type second order difference schemes of 2-D and 3-D elliptic problems with intersected interfaces. Zbl 1199.65358Angelova, Ivanka Tr.; Vulkov, Lubin G. 1 2007 Finite difference approximation of an elliptic interface problem with variable coefficients. Zbl 1118.65373Jovanović, Boško S.; Vulkov, Lubin G. 4 2005 On the blow up of finite difference solutions to the heat-diffusion equation with semilinear dynamical boundary conditions. Zbl 1059.65074Koleva, Miglena N.; Vulkov, Lubin G. 3 2005 Energy stability for a class of two-dimensional interface linear parabolic problems. Zbl 1074.35043Jovanović, Boško S.; Vulkov, Lubin G. 1 2005 Stability of difference schemes for parabolic equations with dynamical boundary conditions and conditions on conjugation. Zbl 1081.65089Jovanović, Bosko S.; Vulkov, Lubin G. 1 2005 The immersed interface method for a nonlinear chemical diffusion equation with local sites of reactions. Zbl 1074.65102Kandilarov, Juri D.; Vulkov, Lubin G. 11 2004 Singularly perturbed differential equations with discontinuous coefficients and concentrated factors. Zbl 1071.34053Angelova, Ivanka Tr.; Vulkov, Lubin G. 4 2004 Finite volume difference methods for convection-dominated problems with interface. Zbl 1151.76526Brayanov, Iliya A.; Vulkov, Lubin G. 2 2004 On the convergence of difference schemes for hyperbolic problems with concentrated data. Zbl 1050.65082Jovanovic, Bosko S.; Vulkov, Lubin G. 6 2003 Numerical solution of a reaction-diffusion elliptic interface problem with strong anisotropy. Zbl 1034.65087Braianov, I.; Vulkov, L. 5 2003 Analysis of immersed interface difference schemes for reaction-diffusion problems with singular own sources. Zbl 1040.65065Kandilarov, Juri D.; Vulkov, Lubin G. 3 2003 On the convergence of finite difference schemes for the heat equation with concentrated capacity. Zbl 0993.65100Jovanovic, B. S.; Vulkov, L. G. 12 2001 Operator approach to the problems with concentrated factors. Zbl 0978.65073Jovanović, Boško S.; Vulkov, Lubin G. 4 2001 Construction and convergence of difference schemes for a model elliptic equation with Dirac-delta function coefficient. Zbl 0978.65098Jovanović, B. S.; Kandilarov, J. D.; Vulkov, L. G. 2 2001 High order \(\varepsilon\)-uniform methods for singularly perturbed reaction-diffusion problems with discontinuous coefficients and singular sources. Zbl 1032.65090Dimitrova, Ivanka Tr.; Vulkov, Lubin G. 1 2001 A method of lines approach to the numerical solution of singular perturbed elliptic problems. Zbl 0978.65113Kandilarov, J. D.; Vulkov, L. G.; Zadorin, A. I. 1 2001 Numerical analysis and its applications. 2nd international conference, NAA 2000, Rousse, Bulgaria, June 11–15, 2000. Revised papers. Zbl 0958.00035Vulkov, Lubin (ed.); Waśniewski, Jerzy (ed.); Yalamov, Plamen (ed.) 1 2001 Uniform in a small parameter convergence of Samarskii’s monotone scheme and its modification for the convection-diffusion equation with a concentrated source. Zbl 0994.65109Braianov, I. A.; Vulkov, L. G. 6 2000 Construction and implementation of finite-difference schemes for systems of diffusion equations with localized chemical reactions. Zbl 0993.65093Vulkov, L. G.; Kandilarov, J. D. 4 2000 Finite difference methods: theory and applications. Proceedings of the 1st conference on finite difference methods held in Rousse, Bulgaria, August 10–13, 1997. Zbl 0954.00042Samarskiĭ, A. A. (ed.); Vabishchevich, Petr N. (ed.); Vulkov, Lubin G. (ed.) 3 1999 Grid approximation for the solution of the singularly perturbed heat equation with concentrated capacity. Zbl 0943.65095Braianov, Ilia A.; Vulkov, Lubin G. 3 1999 Finite difference schemes with variable weights for parabolic equations with concentrated capacity. Zbl 0912.65074Braianov, Ilia A.; Vulkov, Lubin G. 2 1998 On the conservation laws of the compressible Euler equations. Zbl 0884.35094Vulkov, Lubin G. 2 1997 Conservation laws in nonlinear elasticity. I: One-dimensional elastodynamics. Zbl 0838.73018Vulkov, L. G. 2 1994 all cited Publications top 5 cited Publications all top 5 Cited by 205 Authors 36 Vulkov, Lubin G. 16 Jovanović, Boško S. 16 Koleva, Miglena N. 7 Matus, Pëtr Paŭlavich 5 Braianov, Ilia A. 5 Hieu, Le Minh 5 Kandilarov, Juri D. 5 Ševčovič, Daniel 5 Zhao, Shan 4 Chernogorova, Tatiana P. 3 Angelova, Ivanka Tr. 3 Bojović, Dejan R. 3 Dimov, Ivan Todor 3 Faragó, István 3 Horváth, Robert A. 3 Karátson, János 3 Kilianová, Soňa 3 Leszczyński, Henryk 3 Li, Chuan 3 Liu, Jiankang 3 Makarov, Volodymyr Leonidovich 3 Mudzimbabwe, Walter 3 Zadorin, Aleksandr Ivanovich 3 Zheng, Zhoushun 2 Agarwal, Ravi P. 2 Araujo, Anderson L. A. 2 Ashyralyev, Allaberen 2 Dehghan Takht Fooladi, Mehdi 2 Delić, Aleksandra 2 Fila, Marek 2 Gavrilyuk, Ivan P. 2 Ishige, Kazuhiro 2 Ishimura, Naoyuki 2 Kawakami, Tatsuki 2 Koksal, Mehmet Emir 2 Korbel, Jan 2 Mayko, Nataliya Valentynivna 2 Patrício, Filipe M. 2 Poliakov, Dmitriy 2 Tikhovskaya, Svetlana Valer’evna 2 Vabishchevich, Pëtr Nikolaevich 2 Wei, Zhihan 2 Yoshioka, Hidekazu 1 Abbaszadeh, Mostafa 1 Abdelkawy, Mohamed A. 1 Abounouh, Mostafa 1 Afrouzi, H. Hassanzadeh 1 Aguilar, Jean-Philippe 1 Al Moatassime, Hassan 1 Albright, Jason 1 Aliev, Fikret Akhmedalioglu 1 Aliev, Nihan A. 1 Alonso-Mallo, Isaías 1 Antal, István 1 Aranishi, Futoshi 1 Ashlyn, Stacy 1 Baharifard, Fatemeh 1 Barros, Ricardo 1 Bartłomiejczyk, Agnieszka 1 Bhargava, Rama 1 Bhrawy, Ali Hassan 1 Bischof, Jared 1 Campbell, Cameron 1 Cano, Begoña 1 Casabán, María Consuelo 1 Cen, Zhongdi 1 Chauhan, Vinod 1 Chen, Chris 1 Chen, Wen 1 Chen, Xiaohong 1 Cheon, Gi-Sang 1 Chern, I-Liang 1 Clain, Stéphane Louis 1 Company, Rafael 1 Costa, Ricardo 1 Coste, Cyril 1 Davidson, Jane H. 1 de Falco, Carlo 1 Deka, Bhupen 1 Demkiv, Ihor 1 Deng, Dingwen 1 Driouch, Aicha 1 Du, Jian 1 Du, Liangliang 1 Dubbeldam, Johan L. A. 1 El-Mikkawy, Moawwad E. A. 1 Epshteyn, Yekaterina 1 Farhadi, Mousa 1 Fogelson, Aaron L. 1 Fornberg, Bengt 1 Gal, Ciprian Gheorghe Sorin 1 Garrick, Sean C. 1 Gaspar, Francisco José 1 Gegovska-Zajkova, Sonja 1 Ghosh, Koushik 1 Golbabai, Ahmad 1 Goldstein, R. J. 1 Goubet, Olivier 1 Goyal, Mania 1 Gupta, Vikas ...and 105 more Authors all top 5 Cited in 46 Serials 17 Journal of Computational and Applied Mathematics 14 Applied Mathematics and Computation 9 Computers & Mathematics with Applications 6 Computational Methods in Applied Mathematics 5 Applied Numerical Mathematics 4 Journal of Computational Physics 3 Applicable Analysis 3 Journal of Mathematical Analysis and Applications 3 Mathematics of Computation 3 Numerical Algorithms 3 Computational and Applied Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 Numerical Functional Analysis and Optimization 2 Japan Journal of Industrial and Applied Mathematics 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Fractional Calculus & Applied Analysis 2 Differential Equations 2 Central European Journal of Mathematics 2 Boundary Value Problems 2 International Journal for Numerical Methods in Biomedical Engineering 1 International Journal of Heat and Mass Transfer 1 Calcolo 1 Journal of Differential Equations 1 Mathematica Slovaca 1 Numerische Mathematik 1 Applied Mathematics and Mechanics. (English Edition) 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Calculus of Variations and Partial Differential Equations 1 Engineering Analysis with Boundary Elements 1 Abstract and Applied Analysis 1 The ANZIAM Journal 1 Multiscale Modeling & Simulation 1 Asia-Pacific Financial Markets 1 International Journal of Computational Methods 1 Mediterranean Journal of Mathematics 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 East Asian Mathematical Journal 1 Advances in Nonlinear Analysis 1 International Journal of Applied and Computational Mathematics all top 5 Cited in 23 Fields 115 Numerical analysis (65-XX) 80 Partial differential equations (35-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Fluid mechanics (76-XX) 10 Ordinary differential equations (34-XX) 5 Biology and other natural sciences (92-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year