Списък на публикациите

статии

  1. Angelova I., L. Vulkov. High-order difference schemes based on new Marchuck integral identities for one-dimensional interface problems.// J. Numer. Math., 2005, No 13, pp. 1-18
  2. Angelova I., L. Vulkov. O(h2, h4, ...) Approximations of a singular Sturm-Liouvile equation.// AIP CP, 2012, No 1497, pp. 160-167 (SJR rank: 0.17 /2012, Scimago Journal & Country Rank)
  3. Angelova I., L. Vulkov. A Two-Grid Method on Layer-Adapted Meshes for a Semilinear 2D Reaction-Diffusion Problem.// LNCS, 2010, No 5910, pp. 703-710 (SJR rank: 0.329 /2010, Scimago Journal & Country Rank)
  4. Angelova I., L. Vulkov. Uniformly Convergent of Finite-Difference Schemes for Raction-Dffusion Interface Problems.// LNCS, 2008, No 4818, pp. 654-660 (SJR rank: 0.322 /2008, Scimago Journal & Country Rank)
  5. Angelova I., L. Vulkov. Marchuk identity-type second order difference schemes of 2-D and 3-D elliptic problems with intersected interfaces.// Krag. J. Math., 2007, No 30, pp. 277-292
  6. Angelova I., L. Vulkov. High-Order Difference Schemes for Elliptic Problems with Intersecting Interfaces.// Appl. Math. and Comp., 2007, No 187, pp. 824-843 (Impact factor: 0.821 /2007, Thomson Reuters)
  7. Angelova I., L. Vulkov. Singularly perturbed differential equations with discontinuous coefficients and concentrated factors.// Appl. Math. and Comput., 2004, No 158, pp. 683-701 (Impact factor: 0.567 /2004, Thomson Reuters)
  8. B. S. Jovanovic1, L. G. Vulkov. Analysis and numerical approximation of a parabolic-hyperbolic transmission problem.// Cent. Eur. J. Math, 2012, No 10(1), pp. 73-84 (Impact factor: 0.71 /2012, Thomson Reuters)
  9. B. S. Jovanovi´c, L. G. Vulkov. Numerical solution of a parabolic transmission problem.// IMA J. Numer. Anal., 2011, No 31, pp. 233–253 (Impact factor: 1.56 /2011, Thomson Reuters)
  10. B. S. Jovanovi´c, L. G. Vulkov. Numerical solution of a two-dimensional hyperbolic transmission problem.// J. Comput. Appl. Math, 2010, No 235, pp. 519–534 (Impact factor: 1.029 /2010, Thomson Reuters)
  11. B. S. Jovanovi´c, L. G. Vulkov. Numerical solution of a two-dimensional parabolic transmission problem.// Int. J. Numer. Anal. Model., 2010, No 7, No 1, pp. 156–172 (Impact factor: 0.67 /2010, Scijournals.org)
  12. B. S. Jovanovi´c, L. G. Vulkov. Finite element approximation of an elliptic boundary value problem with interface.// LNCS, 2009, No 5434, pp. 56–67 (SJR rank: 0.342 /2009, Scimago Journal & Country Rank)
  13. B. S. Jovanovi´c, L. G. Vulkov. Numerical solution of a hyperbolic transmission problem.// Comput. Methods Appl. Math., 2008, No 8, No 4, pp. 374–385 (Impact factor: 2.129 /2008, Thomson Reuters)
  14. B. S. Jovanovi´c, L. G. Vulkov. Finite difference approximation of an elliptic interface problem with variable coefficients.// Lect. Notes Comput. Sci., 2005, No 3401, pp. 46–55 (Impact factor: 0.402 /2005, Thomson Reuters)
  15. B. S. Jovanovi´c, L. G. Vulkov. On the rate of convergence of difference schemes for the Poisson equation with dynamical interface conditions.// Comput. Methods Appl. Math., 2003, No 3(1), pp. 177–188 (Impact factor: 1.252 /2003, Journal Impact Factor)
  16. B. S. Jovanovi´c, L. G. Vulkov. Stability of an elliptic interface problem on perturbation of interface.// Prilozi, Odd. mat. teh. nauki, MANU (Skopje), 2002, No 23/24, No 1/, pp. 49–56
  17. B. S. Jovanovi´c, L. G. Vulkov. Operator’s approach to the problems with concentrated factors.// LNCS, 2001, No 1988, pp. 439–450 (Impact factor: 0.415 /2001, Journal Impact Factor)
  18. B. S. Jovanovi´c, L. G. Vulkov. Stability and convergence of difference schemes for parabolic interface problems.// Filomat, 2001, No 15, pp. 239–246
  19. B.S. Jovanovic, L.G. Vulkov. Finite difference approximations of strong solutions of a parabolic interface problem on disconnected domains.// Publ. Inst. Math., 2008, No 84 (98), pp. 37-48
  20. B.S. Jovanovic, L.G. Vulkov. On the convergence of difference scheme for parabolic problems with concentrated data.// Int. J. Numer. Anal. and Modeling, 2008, No v.5, N3, pp. 386-407 (Impact factor: 1.212 /2008, Thomson Reuters)
  21. B.S. Jovanovic, L.G. Vulkov. Stability of difference scheme for parabolic equations with dynamical boundary and conjugation conditions.// Appl. Math. and Comput, 2005, No v.163, pp. 849-868 (Impact factor: 0.688 /2005, Thomson Reuters)
  22. B.S. Jovanovic, L.G. Vulkov. On the convergence of finite difference scheme for elliptic equation with coefficients containing Dirac distribution.// Матем. Вестник, 2004, No 56, pp. 115-123
  23. B.S.Jovanovic, L.G.Vulkov. Finite difference approximations for some interface problems with variable coefficients.// Appl. Numer. Math, 2009, No 59, pp. 349-372 (Impact factor: 1.279 /2009, Thomson Reuters)
  24. Braianov, I. A., L.G. Vulkov. Grid approximation for the solution of the singularly perturbed heat equation with concentrated capacity.// J. of Math. Anal. Appls, 1999, No 237, pp. 672-697 (Impact factor: 0.392 /1999, Journal Impact Factor)
  25. Braianov, I..Vulkov, L. Uniform in a small parameter convergence of Samarskii's monotone scheme and its modification for the convection-diffusion equation with concentrated source.// Comp. Math. and Math. Phys., 2000, No 40(4), pp. 534-550 (Impact factor: 0.38 /2000, Journal Impact Factor)
  26. Braianov, I.A., Vulkov L.G. Homogeneous difference schemes for the heat equation with concentrated capacity..// Comp. Math. Math. Phys., 1999, No 39, pp. 254-261
  27. Dimitrova I., L. Vulkov. High order е-uniform methods for singularly perturbed reaction-diffusion problems with discontinuous coefficients and singular sources.// FILOMAT, 2001, No 10, pp. 247-256
  28. Dimitrova, S.R., L.G. Vulkov. Nonlinear Wave Motion in a Magnetic Tthermo Elastic Solid with Small Deformation.// Journal of Theoretical and Applied Mechanics, Year XXIV, Sofia, 1993, No 4, pp. 99-104, ISSN 0861-6663.
  29. Dimov I.,J. Kandilarov, V. Todorov, L. Vulkov. High-order compact difference schemes with Richardson extrapolation for semilinear parabolic systems.// AIP CP, 2016, No 1789 (SJR rank: 0.163 /2016, Scimago Journal & Country Rank)
  30. E. A. Vyrbanova, Л.Г. Волков. О сходимости итерационных методах решения разностных задач налинейной термоупругости.// в кн. Прибл. методы р-я диф. и интегр. Уравнений, Баку, 1985, брой 1
  31. I.A.Braianov, L.G.Vulkov. Finite volume difference methods for convection-dominated problems with interface.// Springer-Verlag, Lecture Notes in Comp. Sci., 2004, No v.2907, pp. 429-437 (Impact factor: 0.513 /2004, Thomson Reuters)
  32. I.A.Braianov, L.G.Vulkov. Numerical solution of reaction-diffusion elliptic interface problem with strong anisontropy.// Computing, 2003, No 71(2), pp. 153-173 (Impact factor: 0.701 /2003, Journal Impact Factor)
  33. Ishimura N., M.N. Koleva, L.G. Vulkov. Numerical solution of nonlinear evolution equation for the risk preference.// Lect. Notes in Comp. Sci., Springer, Berlin, Heidelberg, 2011, No 6046, pp. 445-452, ISSN 978-3-642-18465-9. (SJR rank: 0.338 /2011, SJR SCImago Journal and Country Rank)
  34. Ishimura N., M.N. Koleva, L.G. Vulkov. Numerical solution via transformation methods of nonlinear models in option pricing.// American Institute of Physics CP, 2010, No 1301, pp. 387- 394, ISSN 978-0-7354-0856-2. (SJR rank: 0.166 /2010, SJR SCImago Journal and Country Rank)
  35. Ivanka Angelova, Lubin Vulkov. Two-grid algorithms for singularly perturbed reaction-diffusion problems on layer adapted meshes.// arXiv:1604.05201, 2016, No v1
  36. J.D. Kandilarov, L.G. Vulkov. The immersed interface method for two-dimensional heat-diffusion equation with singular own sources.// Appl. Num. Math., 2007, No V 57 (5-7), pp. 486-497 (Impact factor: 0.986 /2007, Journal of Impact Factor for 2007)
  37. J.D. Kandilarov, L.G. Vulkov. The immersed interface method for a nonlinear chemical diffusion equation with local sites of reactions.// Numer. Algor., 2004, No 36, pp. 285-307 (Impact factor: 0.456 /2004, Journal of Impact Factor for 2004)
  38. J.D. Kandilarov, L.G. Vulkov. Analysis of immersed interface difference schemes for reaction-diffusion problems with singular own sources.// Computational Methods in Applied Math., 2003, No 3(2), pp. 253-273 (Impact factor: 1.252 /2003, Journal Impact Factor)
  39. Jovanovic B., M. N. Koleva, L. G. Vulkov. Convergence of a FEM and two-Grid algorithms for elliptic problems on disjoint domains.// J. of Comp. and Appl. Math., 2011, No 236(3), pp. 364 – 374, ISSN 0377-0427. (Impact factor: 1.112 /2011, Thomson Reuters)
  40. Jovanovic B., J. Kandilarov, L. Vulkov. Increasing of the accuracy in the computation of the concentrations in diffusion models with localized chemical reactions.// AIP CP, 2008, No 1067, pp. 253-261 (SJR rank: 0.144 /2008, SCImago Journal & Country Rank)
  41. Jovanovic B., M.N. Koleva, L.G. Vulkov. Application of the two-grid method to a heat radiation problem.// American Institute of Physics CP, 2009, No 1186, pp. 352-360, ISSN 978-0-7354-0752-7. (SJR rank: 0.163 /2009, SJR SCImago Journal and Country Rank)
  42. Jovanović B., M.N. Koleva, L.G. Vulkov. Numerical analysis of blow-up weak solutions to semilinear hyperbolic equations.// Lect. Notes in Comp. Sci., Springer, 2007, No 4310, pp. 607- 614, ISSN 978-3-540-70940-4. (SJR rank: 0.293 /2007, SJR SCImago Journal and Country Rank)
  43. Jovanovic, B., Vulkov, L. On the convergence of finite difference schemes for the heat equation with concentrated capacity.// Numerishe Mathematik, 2001, No vol.89, N.4, pp. 715-734 (IF)
  44. Jovanovic, B.S., L. G. Vulkov. On the convergence of difference schemes for hyperbolic problems with concentrated data.// SIAM J. Numer. Anal, 2003, No 41, N 2, pp. 516-538(IF) (Impact factor: 1.076 /2003, Journal Impact Factor)
  45. Jovanovich B.S., J.D. Kandilarov, L.G.Vulkov. Constructions and convergence of difference schemes for a model elliptic equation with Dirac-delta function coefficient.// LNCS, 2001, No 1998, pp. 431-438 (Impact factor: 0.415 /2001, Journal of Impact Factor for 2001)
  46. Kandilarov J., L. Vulkov. An immersed boundary method for a parabolic problem with non-standard moving source.// AIP CP, 2009, No 1184, pp. 55-63 (SJR rank: 0.141 /2009, Scimago Journal & Country Rank)
  47. Kandilarov J., M. Koleva, L. Vulkov. A second-order cartesian grid finite volume technique for elliptic interface.// Lect. Notes in Comp. Sci., Springer, Berlin, Heidelberg, 2008, No 4818, pp. 679–687, ISSN 978-3-540-78825-6. (SJR rank: 0.277 /2008, SJR SCImago Journal and Country Rank)
  48. Kandilarov J.D., L.G. Vulkov, A.I. Zadorin. A method of lines approach to the numerical solution of singularly perturbed elliptic problems.// LNCS, 2001, No 1998, pp. 451-458 (Impact factor: 0.415 /2001, Journal of Impact Factor for 2001)
  49. Kolev M. K., M. N. Koleva, L. G. Vulkov. Two positivity preserving flux limited, second-order numerical methods for a haptotaxis model.// Numer. Meth. For PDE, 2013, No 29(4), pp. 1121-1148, ISSN 1098-2426. (Impact factor: 1.212 /2013, Thomson Reuters)
  50. Koleva M. N, L. G. Vulkov. Two-grid quasilinearization approach to ODEs with applications to model problems in physics and mechanics.// Computer Physics Communications, 2010, No 181(3), pp. 663-670, ISSN 0010-4655. (Impact factor: 2.3 /2010, Thomson Reuters)
  51. Koleva M. N., L. G. Vulkov. On splitting-based numerical methods for nonlinear models of European options.// International Journal of Computer Mathematics, 2016, No 93(5), pp. 781-796, ISSN DOI: 10.1080/0020. (Impact factor: 0.825 /2014, Thomson Reuters, 2014 Journal Citation Report®)
  52. Koleva M. N., L. G. Vulkov. A second-order positivity preserving numerical method for Gamma equation.// Appl. Math. and Comp., 2013, No 220, pp. 722-734, ISSN 0096-3003. (Impact factor: 1.454 /2012, Thomson Reuters)
  53. Koleva M. N., L. G. Vulkov. Blow-up of continuous and semidiscrete solutions to elliptic equations with semilinear dynamical boundary conditions of parabolic type.// J. of Comput. and Appl. Math., 2007, No 202(2), pp. 414–434, ISSN 0377-0427. (Impact factor: 0.943 /2007, Thomson Reuters)
  54. Koleva M. N., L. G. Vulkov. Numerical solution of the heat equation with nonlinear boundary conditions in unbounded domain.// Num. Meth. for PDE, 2007, No 23(2), pp. 379- 399, ISSN 1098-2426. (Impact factor: 0.957 /2007, Thomson Reuters)
  55. Koleva M. N., L. G. Vulkov. On the blow-up of finite difference solutions to the heat-diffusion equation with semilinear dynamical boundary conditions.// Appl. Math. and Comput., 2005, No 161(1), pp. 69-91, ISSN 0096-3003. (Impact factor: 0.688 /2005, Thomson Reuters)
  56. Koleva M. N., W. Mudzimbabwe, L. G. Vulkov. High order compact schemes for option pricing with liquidity shocks.// in: Novel Methods in Computational Finance, Series Mathematics in Industry, Springer, M. Ehrhardt et al. (Eds.), 2017, No 25, pp. 303-313
  57. Koleva M., L. Vulkov. A kernel-based algorithm for numerical solution of nonlinear PDEs in finance.// Lect. Notes in Comp. Sci., Springer, Berlin, Heidelberg, 2012, No 7116, pp. 566-573, ISSN 978-3-642-29842-4. (SJR rank: 0.346 /2012, SJR SCImago Journal and Country Rank)
  58. Koleva M., L. Vulkov. A fast numerical method for a nonlinear Black-Scholes equation.// American Institute of Physics CP, 2009, No 1184, pp. 64-71, ISSN 978-0-7354-0750-9. (SJR rank: 0.163 /2009, SJR SCImago Journal and Country Rank)
  59. Koleva M.N., L.G. Vulkov. Numerical solution of time-fractional Black–Scholes equation.// Comp. Appl. Math., 2017, No 36 (4), pp. 1699–1715 (Impact factor: 0.961 /2017, https://link.springer.com/journal/40314)
  60. Koleva M.N., L.G. Vulkov. Computation of Delta Greek for non-linear models in mathematical finance.// Lect. Notes in Comp. Sci., 2017, No 10187, pp. 430-438 (SJR rank: 0.295 /2017, SCImago Journal & Country Rank)
  61. Koleva M.N., L.G. Vulkov. A numerical study for optimal portfolio regime-switching model I. 2D Black–Scholes equation with an exponential non-linear term.// Journal of Computational and Applied Mathematics, 2017, No 318, pp. 538-549 (Impact factor: 1.632 /2017, Thomson Reuters)
  62. Koleva M.N., L.G. Vulkov. A positive flux limited difference scheme for the uncertain correlation 2D Black–Scholes problem.// Journal of Computational and Applied Mathematics, 2016, No 293, pp. 112-127 (Impact factor: 1.328 /2016, Thomson Reuters)
  63. Koleva M.N., L.G. Vulkov. Operator splitting kernel based numerical method for a generalized Leland’s model.// Journal of Computational and Applied Mathematics, 2015, No 275, pp. 294-303, ISSN 0377-0427. (Impact factor: 1.266 /2014, Thomson Reuters)
  64. Koleva M.N., L.G. Vulkov. Fully implicit time-stepping schemes for a parabolic-ODE system of European options with liquidity shocks.// Lect. Notes in Comp. Sci., Springer, Berlin, Heidelberg, 2015, No 9374, pp. 360-368, ISSN 978-3-319-26519-3. (SJR rank: 0.369 /2015, SJR SCImago Journal & Country Rank)
  65. Koleva M.N., L.G. Vulkov. Two-grid decoupled method for a Black-Scholes increased market volatility model.// Lect. Notes in Comp. Sci., Springer, Berlin, Heidelberg, 2015, No 8962, pp. 271 - 278, ISSN 978-3-319-15584-5. (SJR rank: 0.369 /2015, SCImago Journal & Country Rank)
  66. Koleva M.N., L.G. Vulkov. A splitting numerical scheme for non-linear models of mathematical finance.// Lect. Notes in Comp. Sci., Springer, Berlin, Heidelberg, 2014, No 8353, pp. 602-610, ISSN 978-3-662-43879-4. (SJR rank: 0.354 /2014, SJR SCImago Journal and Country Rank)
  67. Koleva M.N., L.G. Vulkov. A splitting flux limiter finite difference scheme for the nonlinear Black-Scholes equation.// Applied and Computational Mathematics, 2014, No 13 (3), pp. 381-395, ISSN 1683-3511. (Impact factor: 0.697 /2013, Thomson Reuters)
  68. Koleva M.N., L.G. Vulkov. Quasilinearization numerical scheme for fully nonlinear parabolic problems with applications in models of mathematical finance.// Math. and Comp. Modelling, 2013, No 57, pp. 2564-2575, ISSN 0895-7177. (Impact factor: 1.42 /2013, Thomson Reuters)
  69. Koleva M.N., L.G. Vulkov. A numerical study of a parabolic Monge-Ampère equation in mathematical finance.// Lect. Notes in Comp. Sci., Springer, Berlin, Heidelberg, 2011, No 6046, pp. 461-468, ISSN 978-3-642-18465-9. (SJR rank: 0.338 /2011, SJR SCImago Journal and Country Rank)
  70. Koleva M.N., L.G. Vulkov. Two-grid quasilinearization approach for a class of nonlinear evolution systems.// American Institute of Physics CP, 2010, No 1293, pp. 47-54, ISSN 978-0-7354-0850-0. (SJR rank: 0.166 /2010, SJR SCImago Journal and Country Rank)
  71. Koleva M.N., L.G. Vulkov. Two-grid decoupling method for elliptic problems on disjoint domains.// Lect. Notes in Comp. Sci., Springer, Berlin, Heidelberg, 2010, No 5910, pp. 787-795, ISSN 978-3-642-12534-8. (SJR rank: 0.332 /2010, SJR SCImago Journal and Country Rank)
  72. Koleva M.N., L.G. Vulkov. A two-grid approximation of an interface problem for nonlinear Poisson-Boltzmann equation.// Lect. Notes in Comp. Sci., Springer, Berlin, Heidelberg, 2009, No 5434, pp. 369–376, ISSN 978-3-642-00463-6. (SJR rank: 0.302 /2009, SJR SCImago Journal and Country Rank)
  73. Koleva M.N., W. Mudzimbabwe, L.G. Vulkov. Fourth-order compact schemes for a parabolic-ordinary system of European option pricing liquidity shocks model.// Numerical Algorithms, 2017, No 74(1), pp. 59–75 (Impact factor: 1.241 /2017, Thomson Reuters)
  74. L. G. Vulkov, A. I. Zadorin. Two-grid algorithms for an ordinary second order equation with an exponential boundary layer in the solution.// International journal of Numerical Analysis and Modeling, 2010, No V 7, N 3, pp. 580–592 (Impact factor: 0.67 /2010, Thomson Reuters)
  75. L.G. Vulkov, B.S. Jovanovic. Convergence of difference schemes for Poisson equations with dynamical boundary conditions.// Comp. Math. and Math. Phys., 2005, No 45(2), pp. 287-297 (Impact factor: 0.44 /2005, RG Journal impact)
  76. L.G. Vulkov, J.D. Kandilarov. Construction and implementation of finite- difference schemes for systems of diffusion equations with localized chemical reactions.// Comp. Math. and Math. Phys., 2000, No 40(5), pp. 705-717 (Impact factor: 0.38 /2000, Journal of Impact Factor for 2000)
  77. Mudzimbabwe W., L.G. Vulkov. IMEX schemes for aparabolic-ODE system of European options with liquidity shocks.// Journal of Computational and Applied Mathematics, 2017, No 299, pp. 245-256 (Impact factor: 1.357 /2017, Journal web site)
  78. Piotr P.,L. M. Hieu, L. G. Vulkov. Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations.// Journal of Computational and Applied Mathematics, 2017, No 310, pp. 186–199 (Impact factor: 1.357 /2017, Journal web site)
  79. Vulkov, L. G. Blow-up of some quasilinear equations with dynamical boundary conditions.// Appl. Math. Comp, 2007, No 191(1), pp. 89-99 (Impact factor: 0.821 /2007, Thomson Reuters)
  80. Vulkov, L. G. Conservation laws and symmetrization of the equations of incompressible inviscid fluids.// Quart. of Appl. Math., 1999, No 57(3), pp. 549-560 (Impact factor: 0.413 /1999, Journal Impact Factor)
  81. Vulkov, L. G. On the conservation laws of the compressible Euler equations.// Applicable Analysis, 1997, No 64, pp. 255-271
  82. Vulkov, L. G. Applications of Steklov – type eigenvalue problems convergence of difference scheme for parabolic and hyperbolic equations with dynamical boundary conditions.// LNCS, 1996, No 1196 (Impact factor: 0.312 /1996, Journal Impact Factor)
  83. Vulkov, L. G. Conservation laws in nonlinear elasticity.// Quart. Of Appl. Math., 1994, No 52(3) (Impact factor: 0.545 /1994, Journal Impact Factor)
  84. Vulkov, L. G. On construction of fully conservative difference schemes the nonlinear elasticity equations.// Comp. Math. Math. Phys., 1992, No 32(9), pp. 231-249 (Impact factor: 0 /1992, Journal Impact Factor)
  85. Vulkov, L. G. Conservation laws of the two dimensional gas dynamics in Lagrange variables.// Comp. Math. Math. Phys., 1992, No 32(10) (Impact factor: 0 /1992, Journal Impact Factor)
  86. Vulkov, L.G. On the conservation laws in magnetohydrodynamics.// Applicable Analysis, 2000, No 75(1-2), pp. 1-18
  87. Y. Dimitrov, L. Vulkov. Three-point compact finite difference scheme on non-uniform meshes for the time-fractional Black-Scholes equation.// AIP CP, 2015, No 1690, pp. 040022 (SJR rank: 0.179 /2015, Scimago Journal & Country Rank)
  88. Волков Л. Г., 1984. Полностью-консервативные вариационно-разностные схемы для уравнений нелинейной упругости,.// в. кн. Вариац. Разн. Методы мат. Физ., М: Наука, 1984, брой т.2
  89. Волков, Л. Г. О реализации и сходимости разностных схем для уравнений нелинейной вязкоупругости.// Дифференциальные уравнения, (Differential Equations), 1991, брой том 27, No.
  90. Волков, Л. Г. Монотонная прогонка для шеститочечных разностных уравнений.// СЕРДИКА Българско математическо списание, 1985, брой Том 11, стр. с. 116-120
  91. Волков, Л. Г. Задача о распаде произвольного разрыва для несжимаемого, изотропного упругого материала.// Дин. Спл. Среды,СОАНСССР, Нс, 1983, брой вып. 63
  92. Волков, Л. Г. О законах сохранения в одномерной нелинейной упругости.// Диф. у-я (Differential equations), 1983, брой том.19, N10
  93. Волков, Л. Г. О регулярности одномерных упругих волн в несживаемаемом изотропном материале.// Прикл. Мат. Мех., 1983, брой т.47, вып.2
  94. Вълков, Л. Контактни равнинни вълни в несвиваемо изотропно, еластично тяло.// Теор. и прил. Мех., (Theor. And Appl. Mchanics), 1980, брой N 1
  95. Вълков, Л. Существование классических решений квазилинейных неоднородных гиперболических систем.// Год. на ВУЗ: прил. М-ка, 1979, брой т.15, кн.2
  96. Вълков, Л. Ентропийно условие за хиперболични системи от три нелинейни уравнения.// Год. на ВУЗ: прил. м-ка, 1979, брой т.15, кн.3
  97. Вълков, Л. Нерегулярност на класическото решение на квазилинейна хиперболична диагонална система.// Год. на ВУЗ: прил. М-ка, 1978, брой т.14, кн.3,
  98. Гочева, С., Л. Волков. Метод скалярной прогонки для численного решения дифференциальных систем типа реакции-диффузии.// Научни трудове, 1984, брой т.22, кн.1
  99. Гочева, С., Л. Волков. Вариант метода матричной прогонки для задач типа реакции – дифузии.// Научни трудове, 1984, брой т.22,кн.2
  100. Гочева, С., Л. Волков. Прямой метод решения линейных систем из двух матричных уравнений с ленточными матрицами.// Прибл. р-я опер. Уравнений Баку, 1984, брой 3
доклади
  1. Angelova I., L. Vulkov. Comparison of the Two-grid Method on Different Meshes for Singularly Perturbed Semilinear Problems. IN: Appl. of Math. in Engin. and Econ.’34, American Institute of Physics, CP Series1067, 2008, pp. 305-312
  2. B. Jovanovi´c, L. Vulkov. Difference schemes for a parabolic problem with interface. IN: I. Farago, P. Vabishchevich, L. Vulkov (eds.),Finite Difference Methods: Theory and Applications,Proc. of Fourth international conference held in Lozenetz (Bulgaria) 2006, Rousse, University “Angel Kanchev”, 2007, pp. 215–220
  3. Braianov I.A., J.D. Kandilarov, L.G. Vulkov. Numerical solution of diffusion-desorption problems with small diffusion coefficients and localized chemical reactions. IN: Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems, Huntington, NY, NOVA Science Publishers, Inc., 2000, pp. 169-176
  4. Braianov, A., L. G. Vulkov. Grid approximation of the solution and diffusion f.lux for reaction – diffusion problems with concentrated capacity. IN: Finite Difference Mathods: Theory and Applications, U.S.A., Nouva Science, 1998
  5. Dimitrova I., L. Vulkov. On the Numerical Solution of Singularly Perturbed Interface Problems. IN: Appl. of Math. in Engin. and Econ.’27, Sofia, Heron Press, 2002, pp. 249-257
  6. Dimitrova-Karakoleva, S., Vulkov, L. On the type of waves in the magneto-thermo-elasticity with one-dimensional small deformation. IN: Proceed. of 7-th Congress on Theoretical and Applied Mechanics, Aug.29-Sept.02, Sofia, 1993
  7. E. A. Vyrbanova, L. G. Vulkov. Fully conservative difference schemes for the nonlinear coupled thermoelasticity. IN: Numerical methods and applications’84, Sofia, 1985
  8. I. A. Braianov, L. G. Vulkov. Finite Difference schemes with variable weights for parabolic equations with concentrated capacity. IN: Notes on Numer. Fluid Mech., Springer, Vieweg Verlag, 1998
  9. I. Angelova, L. Vulkov. High-Order Numerical Methods for Singular Problems 1 Weakly Degeneration. IN: BGSIAM’11, Sofia, 2012, pp. 3-8, ISBN 1313-3357.
  10. I. Dimov, J. Kandilarov, V. Todorov, L. Vulkov. Time Discretization/Linearization Approach Based on HOC Difference Schemes for Semilinear Parabolic Systems of Air-Pollution. IN: LSSC'17, Springer, accepted, 2017
  11. I. DIMOV, J. KANDILAROV, V. TODOROV, L.VULKOV. Analysis and realization of compact difference schemes for semilinear parabolic system. IN: Numerical Methods for Scientific Computations and Advanced Applications (NMSCAA’16), IICT-BAS, Fastumprint, Sofia, 2016, pp. 17-20
  12. I.A. Braianov, L. G. Vulkov. Stability of difference schemes with variable weights for heat equation with dynamical boundary conditions.. IN: Proceed. of the 23 Summer School on Appls. of Mathematics and Eng., Sozopol, Математика, 1996
  13. Ivanka Tr. Angelova, Lubin G. Vulkov. Analysis of Numerical Approximations to Degenerate Differential Equations. IN: NMSCAA’16, Sofia, SIAM, 2016, pp. 3-6
  14. Kolev M.K., M.N. Koleva, L.G. Vulkov. Positive preserving numerical methods for haptotaxis models. IN: Proceedings of the Sixth Annual Meeting of the Bulgarian Section of SIAM, Sofia, 2012, pp. 68-73, ISBN 1313-3357.
  15. Koleva M. N., L.G. Vulkov. Fast numerical method for solving Delta Greek for a class of non-linear option pricing models. IN: Proceedings of the 15th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE'15), volume IV, J. Vigo-Aguiar (Ed.), Costa Ballena, Rota, Cádiz, Spain, 2017, pp. 1181-1184, ISBN 978-84-617-8.
  16. Koleva M., L. Vulkov. Fast two-grid algorithms for the elliptic Monge-Ampère equation. IN: Proceedings of Fourth Annual Meeting of the Bulgarian Section of SIAM, Sofia, 2009, pp. 81-86, ISBN ISSN 1313-3357.
  17. Koleva M.N., L. G. Vulkov. A numerical study of a semilinear parabolic system of optimal regime-switching model. IN: Proceedings of the 15th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE'15), volume IV, J. Vigo-Aguiar (Ed.), Costa Ballena, Rota, Cádiz, Spain, 2017, ISBN 978-84-617-8694-7.
  18. Koleva M.N., L.G. Vulkov. Positivity preserving numerical method for a 2D Black-Scholes equation with exponential non-linear term. IN: Proceedings of the 15th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE'15), J. Vigo-Aguiar (Ed.), Costa Ballena, Rota, Cádiz (Spain), 2015, pp. 671-674, ISBN 978-84-617-2230-3.
  19. Koleva M.N., L.G. Vulkov. Two-grid finite difference scheme for nonlinear problems in mathematical finance. IN: Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering, J. Vigo-Aguiar (Ed.), Costa Ballena, Rota, Cádiz (Spain), 2014, pp. 777-780, ISBN 978-84-616-9216-3.
  20. Koleva M.N., L.G. Vulkov. Operator splitting scheme for a generalized Leland's model. IN: Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering, J. Vigo-Aguiar (Ed.), Costa Ballena, Rota, Cádiz (Spain), 2014, pp. 781-784, ISBN 978-84-616-9216-3.
  21. Koleva M.N., L.G. Vulkov. Blow-up of finite difference solutions to parabolic equations with semilinear dynamical boundary conditions. IN: Proceedings of Fourth International Conference ‘’Finite Difference Methods: Theory and Applications, Русе, 2007, pp. 239-245
  22. Koleva M.N., L.G. Vulkov. Numerical solution of elliptic problems on disjoint domains. IN: Proceedings of Third Annual Meeting of the Bulgarian Section of SIAM, Sofia, 2008, pp. 53-56, ISBN ISSN 1313-3357.
  23. Koleva, M.N., W. Mudzimbabwe, L.G. Vulkov. Compact IMEX schemes for option pricing with liquidity shocks. IN: Proceedings of the 15th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE'15), J. Vigo-Aguiar (Ed.), Costa Ballena, Rota, Cádiz (Spain), 2015, pp. 675-678, ISBN 978-84-617-2230-3.
  24. L. Vulkov, K. Zlateva. On the Realization of Implicit Difference Schemes for Nonlinear Parabolic Equations with Concentrated Capacity. IN: Nova Science Publ., Proceedings of the First Conference on Difference Methods and Applications, Germany, 1998
  25. Волков, Л. Г. Устойчивые разностные схемы для нелинейных уравнений в частных производных третьего порядка. В: Proceedings of the Nineteenth Spring Conference of the Union of the Bulgarian Mathematics, Русе, Математика и математическо образование, 1990, стр. 325-331
  26. Волков, Л. Г. О сходимости метода Ныютона при реализации неявных разностных схем несжимаемой упругости. В: Труды Восемн. Весенней Конф. С.Б. М., Русе, Математика, 1989, стр. 265-271
  27. Волков, Л. Г. О законах сохранения в нелинейной гиперупругости. В: Четв. нац. конгрес по механика, Варна, 1981
  28. Волков, Л. Г. О введение вязкости типа Фойгта для изучения устойчивых по Лаксу ударных волн в упругом несживаемом изотропом метериале // Дифференц. Ур-ния и применения. В: Тр. 2-й конф, Русе, 1981, стр. С.131-134
книги
  1. Koleva M., L. Vulkov (Eds.). Finite Difference Methods: Theory and Applications, Proceedings of the Fifth International Conference FDM: T&A’10 June 28 – July 2, 2010, Lozenetz, Bulgaria. Rousse, Rousse University press, 2011, pp. 190, ISBN 978-954-8467-44-5.
  2. Samarski, A., P. Vabischevich, L. G. Vulkov (Eds). Finite Difference Mathods: Theory and Applications, Nova Science. U.S.A., Математика, 1999, ISBN 0302-9743.
  3. Vulkov, L., J. Wasniewski, P. Yalamov (Eds). Numerical Analysis and Applications. Germany, Springer, 1998, ISBN 0302-9743.
  4. Ангелова И., Л. Вълков. Диференчни схеми за задачи с гранични слоеве. Русенския университет, Издателски център на РУ, 2011, стр. 126, ISBN 978-954-712-525-4.
  5. Вълков Л., М. Колева. Числени Методи. Принципът за Максимума в Теорията на Диференчните Схеми. Русе, Печатна база на Русенски Университет, 2008, стр. 165, ISBN 978-954-712-429-5.
  6. Вълков Л., Ю. Кандиларов. Вложен интерфейсен метод за елиптични и параболични задачи. Печатна база при РУ, Медиатех, 2011, стр. 202, ISBN 978-954-8467-30-8.