The immersed interface method for two-dimensional heat-diffusion equations with singular own sources JD Kandilarov, LG Vulkov Applied numerical mathematics 57 (5-7), 486-497, 2007 | 38 | 2007 |

The immersed interface method for a nonlinear chemical diffusion equation with local sites of reactions JD Kandilarov, LG Vulkov Numerical Algorithms 36 (4), 285-307, 2004 | 29 | 2004 |

Immersed interface method for a reaction-diffusion equation with a moving own concentrated source JD Kandilarov International Conference on Numerical Methods and Applications, 506-513, 2002 | 20 | 2002 |

Analysis of immersed interface difference schemes for reaction-diffusion problems with singular own sources JD Kandilarov, LG Vulkov Computational Methods in Applied Mathematics 3 (2), 253-273, 2003 | 18 | 2003 |

Construction and implementation of finite-difference schemes for systems of diffusion equations with localized chemical reactions LG Vulkov, JD Kandilarov Computational mathematics and mathematical physics 40 (5), 705-717, 2000 | 12 | 2000 |

Construction and convergence of difference schemes for a modell elliptic equation with dirac-delta function coefficient BS Jovanović, JD Kandilarov, LG Vulkov International Conference on Numerical Analysis and Its Applications, 431-438, 2000 | 11 | 2000 |

A numerical approach for the American call option pricing model JD Kandilarov, RL Valkov International Conference on Numerical Methods and Applications, 453-460, 2010 | 10 | 2010 |

Immersed-boundary level set approach for numerical solution of elliptic interface problems JD Kandilarov International Conference on Large-Scale Scientific Computing, 456-464, 2003 | 9 | 2003 |

An immersed interface FEM for elliptic problems with local own sources I Georgiev, J Kandilarov AIP Conference Proceedings 1186 (1), 335-342, 2009 | 7 | 2009 |

A Rothe-immersed interface method for a class of parabolic interface problems JD Kandilarov International Conference on Numerical Analysis and Its Applications, 328-336, 2004 | 6 | 2004 |

A monotone iterative method for numerical solution of diffusion equations with nonlinear localized chemical reactions JD Kandilarov International Conference on Numerical Methods and Applications, 615-622, 2006 | 5 | 2006 |

A method of lines approach to the numerical solution of singularly perturbed elliptic problems JD Kandilarov, LG Vulkov, AI Zadorin International Conference on Numerical Analysis and Its Applications, 451-458, 2000 | 5 | 2000 |

On the realization and stability of difference schemes for diffusion problems with localized reactions IA Braianov, JD Kandilarov Notes on Numerical Fluid Mechanics 62, 201-209, 1998 | 5 | 1998 |

Comparison of two numerical methods for computation of american type of the floating strike asian option JD Kandilarov, D Ševčovič International Conference on Large-Scale Scientific Computing, 558-565, 2011 | 4 | 2011 |

An immersed interface FEM for 1D elastic continuum vibrations under a traveling load I Georgiev, J Kandilarov AIP Conference Proceedings 1301 (1), 379-386, 2010 | 4 | 2010 |

Numerical determination of the right-hand side of parabolic systems with point measurements I Dimov, J Kandilarov, V Todorov, L Vulkov AIP Conference Proceedings 1910 (1), 030007, 2017 | 2 | 2017 |

High-order compact difference schemes with Richardson extrapolation for semilinear parabolic systems I Dimov, J Kandilarov, V Todorov, L Vulkov AIP Conference Proceedings 1789 (1), 030002, 2016 | 2 | 2016 |

A comparison study of two high accuracy numerical methods for a parabolic system in air pollution modelling I Dimov, J Kandilarov, V Todorov, L Vulkov arXiv preprint arXiv:1701.03049, 2017 | 1 | 2017 |

Immersed FEM for Elliptic Interface Problems with Non-homogeneous Jump Condition of Special Type I Georgiev, J Kandilarov IN: Scientific Conference of University of Rousse, 2011 | 1 | 2011 |

A Second-Order Cartesian Grid Finite Volume Technique for Elliptic Interface Problems JD Kandilarov, MN Koleva, LG Vulkov International Conference on Large-Scale Scientific Computing, 679-687, 2007 | 1 | 2007 |