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Lubin G. Vulkov
2010 – today
- 2013
[j12]Miglena N. Koleva, Lubin G. Vulkov: Quasilinearization numerical scheme for fully nonlinear parabolic problems with applications in models of mathematical finance. Mathematical and Computer Modelling 57(9-10): 2564-2575 (2013)- 2011
[j11]Bosko S. Jovanovic, Miglena N. Koleva, Lubin G. Vulkov: Convergence of a FEM and two-grid algorithms for elliptic problems on disjoint domains. J. Computational Applied Mathematics 236(3): 364-374 (2011)
[c18]Miglena N. Koleva, Lubin G. Vulkov: A Kernel-Based Algorithm for Numerical Solution of Nonlinear PDEs in Finance. LSSC 2011: 566-573- 2010
[j10]Miglena N. Koleva, Lubin G. Vulkov: Two-grid quasilinearization approach to ODEs with applications to model problems in physics and mechanics. Computer Physics Communications 181(3): 663-670 (2010)
[j9]Bosko S. Jovanovic, Lubin G. Vulkov: Numerical solution of a two-dimensional hyperbolic transmission problem. J. Computational Applied Mathematics 235(3): 519-534 (2010)
[c17]Naoyuki Ishimura, Miglena N. Koleva, Lubin G. Vulkov: Numerical Solution of a Nonlinear Evolution Equation for the Risk Preference. NMA 2010: 445-452
[c16]Miglena N. Koleva, Lubin G. Vulkov: A Numerical Study of a Parabolic Monge-Ampère Equation in Mathematical Finance. NMA 2010: 461-468
2000 – 2009
- 2009
[c15]Ivanka Tr. Angelova, Lubin G. Vulkov: A Two-Grid Method on Layer-Adapted Meshes for a Semilinear 2D Reaction-Diffusion Problem. LSSC 2009: 703-710
[c14]Miglena N. Koleva, Lubin G. Vulkov: Two-Grid Decoupling Method for Elliptic Problems on Disjoint Domains. LSSC 2009: 787-795
[e4]Svetozar Margenov, Lubin G. Vulkov, Jerzy Wasniewski (Eds.): Numerical Analysis and Its Applications, 4th International Conference, NAA 2008, Lozenetz, Bulgaria, June 16-20, 2008. Revised Selected Papers. Lecture Notes in Computer Science 5434, Springer 2009, ISBN 978-3-642-00463-6- 2008
[c13]Bosko S. Jovanovic, Lubin G. Vulkov: Finite Element Approximation of an Elliptic Boundary Value Problem with Interface. NAA 2008: 56-67
[c12]Miglena N. Koleva, Lubin G. Vulkov: A Two-Grid Approximation of an Interface Problem for the Nonlinear Poisson-Boltzmann Equation. NAA 2008: 369-376
[c11]Lubin G. Vulkov, A. I. Zadorin: A Two-Grid Algorithm for Solution of the Difference Equations of a System of Singularly Perturbed Semilinear Equations. NAA 2008: 580-587- 2007
[j8]Ivanka Tr. Angelova, Lubin G. Vulkov: High-order finite difference schemes for elliptic problems with intersecting interfaces. Applied Mathematics and Computation 187(2): 824-843 (2007)
[j7]Lubin G. Vulkov: Blow up for some quasilinear equations with dynamical boundary conditions of parabolic type. Applied Mathematics and Computation 191(1): 89-99 (2007)
[c10]Ivanka Tr. Angelova, Lubin G. Vulkov: Uniform Convergence of Finite-Difference Schemes for Reaction-Diffusion Interface Problems. LSSC 2007: 654-660
[c9]Juri D. Kandilarov, Miglena N. Koleva, Lubin G. Vulkov: A Second-Order Cartesian Grid Finite Volume Technique for Elliptic Interface Problems. LSSC 2007: 679-687- 2006
[c8]Bosko S. Jovanovic, Miglena N. Koleva, Lubin G. Vulkov: Numerical Analysis of Blow-Up Weak Solutions to Semilinear Hyperbolic Equations. Numerical Methods and Applications 2006: 607-614- 2005
[j6]Miglena N. Koleva, Lubin G. Vulkov: On the blow-up of finite difference solutions to the heat-diffusion equation with semilinear dynamical boundary conditions. Applied Mathematics and Computation 161(1): 69-91 (2005)
[j5]Bosko S. Jovanovic, Lubin G. Vulkov: Stability of difference schemes for parabolic equations with dynamical boundary conditions and conditions on conjugation. Applied Mathematics and Computation 163(2): 849-868 (2005)
[e3]Zhilin Li, Lubin G. Vulkov, Jerzy Wasniewski (Eds.): Numerical Analysis and Its Applications, Third International Conference, NAA 2004, Rousse, Bulgaria, June 29 - July 3, 2004, Revised Selected Papers. Lecture Notes in Computer Science 3401, Springer 2005, ISBN 3-540-24937-0- 2004
[j4]Ivanka Tr. Angelova, Lubin G. Vulkov: Singularly perturbed differential equations with discontinuous coefficients and concentrated factors. Applied Mathematics and Computation 158(3): 683-701 (2004)
[j3]Juri D. Kandilarov, Lubin G. Vulkov: The Immersed Interface Method for a Nonlinear Chemical Diffusion Equation with Local Sites of Reactions. Numerical Algorithms 36(4): 285-307 (2004)
[c7]Bosko S. Jovanovic, Lubin G. Vulkov: Finite Difference Approximation of an Elliptic Interface Problem with Variable Coefficients. NAA 2004: 46-55- 2003
[j2]Iliya A. Brayanov, Lubin G. Vulkov: Numerical Solution of a Reaction-Diffusion Elliptic Interface Problem with Strong Anisotropy. Computing 71(2): 153-173 (2003)
[j1]Bosko S. Jovanovic, Lubin G. Vulkov: On the Convergence of Difference Schemes for Hyperbolic Problems with Concentrated Data. SIAM J. Numerical Analysis 41(2): 516-538 (2003)
[c6]Iliya A. Brayanov, Lubin G. Vulkov: Finite Volume Difference Methods for Convection-Dominated Problems with Interface. LSSC 2003: 429-437- 2001
[e2]Lubin G. Vulkov, Jerzy Wasniewski, Plamen Y. Yalamov (Eds.): Numerical Analysis and Its Applications, Second International Conference, NAA 2000, Rousse, Bulgaria, June 11-15, 2000, Revised Papers. Lecture Notes in Computer Science 1988, Springer 2001, ISBN 3-540-41814-8- 2000
[c5]Bosko S. Jovanovic, Juri D. Kandilarov, Lubin G. Vulkov: Construction and Convergence of Difference Schemes for a Model Elliptic Equation with Dirac-delta Function Coefficient. NAA 2000: 431-438
[c4]Bosko S. Jovanovic, Lubin G. Vulkov: Operator's Approach to the Problems with Concentrated Factors. NAA 2000: 439-450
[c3]Juri D. Kandilarov, Lubin G. Vulkov, A. I. Zadorin: A Method of Lines Approach to the Numerical Solution of Singularly Perturbed Elliptic Problems. NAA 2000: 451-458
1990 – 1999
- 1997
[c2]Iliya A. Brayanov, Lubin G. Vulkov: Finite Difference Schemes with Variable Weights for Parabolic Equations with Concentrated Capacity. LSSC 1997: 210-218
[e1]Lubin G. Vulkov, Jerzy Wasniewski, Plamen Y. Yalamov (Eds.): Numerical Analysis and Its Applications, First International Workshop, WNAA'96, Rousse, Bulgaria, June 24-26, 1996, Proceedings. Lecture Notes in Computer Science 1196, Springer 1997, ISBN 3-540-62598-4- 1996
[c1]Lubin G. Vulkov: Applications of Steklov-Type Eigenvalue Problems to Convergence of Difference Schemes for Parabolic and Hyperbolic Equations with Dynamical Boundary Conditions. WNAA 1996: 557-564
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