Refereed Publications (in the reversed chronological order)

Recent Preprints

• Alina Chertock, Charles R. Doering, Eugene Kashdan, & A. Kurganov (2008)
  A Fast Explicit Operator Splitting Method for Passive Scalar Advection
  submitted to Mathematical Modelling and Numerical Analysis.
  
  
• A. Kurganov & Guergana Petrova (2008)
  Central-Upwind Schemes for Two-Layer Shallow Water Equations
  submitted to SIAM Journal on Scientific Computing.
  
  
• Alina Chertock & A. Kurganov (2008)
  On Splitting-Based Numerical Methods for Convection-Diffusion Equations
  submitted to Quaderni di Matematica.
  
  
• Yekaterina Epshteyn & A. Kurganov (2007)
  Interior Penalty Discontinuous Galerkin Methods for the Keller-Segel Chemotaxis Model (gzipped .pdf file)
  submitted to SIAM Journal on Numerical Analysis.
  
  
• Alina Chertock & A. Kurganov (2007)
  A Simple Eulerian Finite-Volume Method for Compressible Fluids in Domains with Moving Boundaries (gzipped .pdf file)
  submitted to Communications in Mathematical Sciences.
  
  
• A. Kurganov & Anthony Polizzi (2007)
  Non-Oscillatory Central Schemes for a Traffic Flow Model with Arrhenius Look-Ahead Dynamics
  submitted to Networks and Heterogeneous Media.
  
  
• Alina Chertock & A. Kurganov (2007)
  A Positivity Preserving Central-Upwind Scheme for Chemotaxis and Haptotaxis Models (gzipped .pdf file)
  submitted to Numerische Mathematik.
  
  
• Alina Chertock, Smadar Karni & A. Kurganov (2007)
  Interface Tracking Method for Compressible Multifluids (gzipped .pdf file)
  submitted to Mathematical Modelling and Numerical Analysis.
  
  
• Igor Kliakhandler & A. Kurganov (2006)
  Quasi-Lagrangian Acceleration of Eulerian Methods
  submitted to Journal of Computational Physics.
  
  
• A. Kurganov & Jeffrey Rauch (2006)
  The Order of Accuracy of Quadrature Formulae for Periodic Functions
  
  
• Alina Chertock & A. Kurganov (2007)
  Computing Multivalued Solutions of Pressureless Gas Dynamics by Deterministic Particle Methods
  to appear in Communications in Computational Physics.
  
  
• Alina Chertock, A. Kurganov & Guergana Petrova (2005)
  Fast Explicit Operator Splitting Method for Convection-Diffusion Equation
  to appear in International Journal for Numerical Methods in Fluids.
  
  
• Lucian A. Constantin & A. Kurganov (2005)
  Adaptive Central-Upwind Schemes for Hyperbolic Systems of Conservation Laws
  to appear in Hyperbolic Problems: Theory, Numerics, Applications (Osaka, 2004).
  
  

  2008

• A. Kurganov & Guergana Petrova
  A Central-Upwind Scheme for Nonlinear Water Waves Generated by Submarine Landslides
  Hyperbolic Problems: Theory, Numerics, Applications (Lyon, 2006), 635--642, Springer, 2008.
  
  
• Alina Chertock, Eugene Kashdan & A. Kurganov
  Propagation of Diffusing Pollutant by a Hybrid Eulerian-Lagrangian Method
  Hyperbolic Problems: Theory, Numerics, Applications (Lyon, 2006), 371--380, Springer, 2008.
  
  

  2007

• Alina Chertock, A. Kurganov & Yurii Rykov
  A New Sticky Particle Method for Pressureless Gas Dynamics (gzipped .pdf file)
  SIAM Journal on Numerical Analysis, 45 (2007), 2408-2441.
  
  
• A. Kurganov, Guergana Petrova & Bojan Popov
  Adaptive Semi-Discrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws
  SIAM Journal on Scientific Computing, 29 (2007), 2381-2401.
  
  
• A. Kurganov & Guergana Petrova
  A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System
  Communications in Mathematical Sciences, 5 (2007), 133-160.
  
  
• A. Kurganov & Chi-Tien Lin
  On the Reduction of Numerical Dissipation in Central-Upwind Schemes (gzipped .pdf file)
  Communications in Computational Physics, 2 (2007), 141-163.
  
  

  2006

• A. Kurganov
  Well-Balanced Central-Upwind Scheme for Compressible Two-Phase Flows
  Proceedings of the European Conference on Computational Fluid Dynamics ECCOMAS CFD 2006.
  
  
• Alina Chertock & A. Kurganov
  On a Practical Implementation of Particle Methods
  Applied Numerical Mathematics, 56 (2006), 1418-1431.
  
  
• A. Kurganov & Guergana Petrova
  Adaptive Central-Upwind Schemes for Hamilton-Jacobi Equations with Nonconvex Hamiltonians
  Journal of Scientific Computing, 27 (2006), 323-333.
  
  
• Alina Chertock, A. Kurganov & Guergana Petrova
  Finite-Volume-Particle Methods for Models of Transport of Pollutant in Shallow Water
  Journal of Scientific Computing, 27 (2006), 189-199.
  
  
• A. Kurganov & Philip Rosenau
  On Reaction Processes with Saturating Diffusion (gzipped pdf file)
  Nonlinearity, 19 (2006), 171-193.
  
  

  2005

• Alina Chertock & A. Kurganov
  Conservative Locally Moving Mesh Method for Multifluid Flows
  Finite Volumes for Complex Applications, IV, Marrakech, 2005, 273-284, Hermes Sci. Publ.
  
  
• Alina Chertock, A. Kurganov & Guergana Petrova
  Fast Explicit Operator Splitting Method. Application to the Polymer System
  Finite Volumes for Complex Applications, IV, Marrakech, 2005, 63-72, Hermes Sci. Publ.
  
  
• A. Kurganov & Guergana Petrova
  Central-Upwind Schemes on Triangular Grids for Hyperbolic Systems of Conservation Laws
  Numerical Methods for Partial Differential Equations, 21 (2005), 536-552.
  
  
• Alina Chertock, A. Kurganov & Philip Rosenau
  On Degenerate Saturated-Diffusion Equations with Convection (gzipped pdf file)
  Nonlinearity, 18 (2005), 609-630.
  
  
• Steve Bryson, A. Kurganov, Doron Levy & Guergana Petrova
  Semi-Discrete Central-Upwind Schemes with Reduced Dissipation for Hamilton-Jacobi Equations
  IMA Journal of Numerical Analysis, 25 (2005), 113-138.
  
  
• Smadar Karni & A. Kurganov
  Local Error Analysis for Approximate Solutions of Hyperbolic Conservation Laws
  Advances in Computational Mathematics, 22 (2005), 79-99.
  
  

  2004

• Alina Chertock & A. Kurganov
  On a Hybrid Finite-Volume-Particle Method
  Mathematical Modelling and Numerical Analysis, 38 (2004), 1071-1091.
  
  
• Smadar Karni, Eduard Kirr, A. Kurganov & Guergana Petrova
  Compressible Two-Phase Flows by Central and Upwind Schemes (gzipped .pdf file)
  Mathematical Modelling and Numerical Analysis, 38 (2004), 477-493.
  
  
• Jesse Otero, Lubomira A. Dontcheva, Hans Johnston, Rodney A. Worthing, A. Kurganov, Guergana Petrova & Charles R. Doering
  High Raleigh Number Convection in a Fluid Saturated Porous Layer
  Journal of Fluid Mechanics, 500 (2004), 263-281.
  
  

  2003

• A. Kurganov
  An Accurate Deterministic Projection Method for Hyperbolic Systems with Stiff Source Term
  Hyperbolic Problems: Theory, Numerics, Applications (Pasadena, 2002),665-674, Springer-Verlag, 2003.
  
  
• Alina Chertock, A. Kurganov & Philip Rosenau
  Formation of Discontinuities in Flux-Saturated Degenerate Parabolic Equations (gzipped .pdf file)
  Nonlinearity, 16 (2003), 1875-1898.
  
  

  2002

• A. Kurganov
  Central-Upwind Schemes for Balance Laws. Application to the Broadwell Model
  Finite Volumes for Complex Applications, III, Porquerolles, 2002, 365-372, Hermes Sci. Publ., Paris.
  
  
• A. Kurganov & Doron Levy
  Central-Upwind Schemes for the Saint-Venant System
  Mathematical Modelling and Numerical Analysis, 36 (2002), 397-425.
  
  
• A. Kurganov & Eitan Tadmor
  Solution of Two-Dimensional Riemann Problems for Gas Dynamics without Riemann Problem Solvers (gzipped . pdf file)
  Numerical Methods for Partial Differential Equations 18 (2002), 584-608.
  
  
• Smadar Karni, A. Kurganov & Guergana Petrova
  A Smoothness Indicator for Adaptive Algorithms for Hyperbolic Systems
  Journal of Computational Physics 178 (2002), 323-341.
  
  

  2001

• A. Kurganov, Sebastian Noelle & Guergana Petrova
  Semi-Discrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton-Jacobi Equations
  SIAM Journal on Scientific Computing 23 (2001), 707-740.
  
  
• A. Kurganov & Guergana Petrova
  A Third-Order Semi-Discrete Genuinely Multidimensional Central Scheme for Hyperbolic Conservation Laws and R elated Problems
  Numerische Mathematik 88 (2001), 683-729.
  
  

  2000

• A. Kurganov & Doron Levy
  A Third-Order Semi-Discrete Central Scheme for Conservation Laws and Convection-Diffusion Equations
  SIAM Journal on Scientific Computing 22 (2000), 1461-1488.
  
  
• A. Kurganov & Guergana Petrova
  Central Schemes and Contact Discontinuities
  Mathematical Modelling and Numerical Analysis 34 (2000), 1259-1275.
  
  
• A. Kurganov & Eitan Tadmor
  New High-Resolution Semi-Discrete Central Schemes for Hamilton-Jacobi Equations
  Journal of Computational Physics 160 (2000), 720-742.
  
  
• A. Kurganov & Eitan Tadmor
  New High Resolution Central Schemes for Nonlinear Conservation Laws and Convection-Diffusion Equations
  Journal of Computational Physics 160 (2000), 241-282.
  
  

  1999

• Jonathan Goodman, A. Kurganov & Philip Rosenau
  Breakdown of Burgers-type Equations with Saturating Dissipation Fluxes
  Nonlinearity 12 (1999), 247-268.
  
  

  1998

• A. Kurganov, Doron Levy & Philip Rosenau
  On Burgers-type Equations with Non-monotonic Dissipative Fluxes
  Communications on Pure and Applied Mathematics 51 (1998), 443-473.
  
  

  1997

• A. Kurganov & Eitan Tadmor
  Stiff Systems of Hyperbolic Conservation Laws. Convergence and Error Estimates
  SIAM Journal on Mathematical Analysis 28 (1997), 1446-1456.
  
  
• A. Kurganov & Philip Rosenau
  The Effect of a Saturating Dissipation in Burgers-type Equations
  Communications on Pure and Applied Mathematics 50 (1997), 753-771.