Publications

• Public

  Quasi-Lagrangian Acceleration of Eulerian Methods 2009

  DOI: 10.4208/cicp.2009.v6.p743
  Kliakhandler, I & Kurganov, A, 2009, 'Quasi-Lagrangian Acceleration of Eulerian Methods', Communications in Computational Physics, vol. 6, no. 4, pp. 743-757.
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  Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws May-2005

  DOI: 10.1002/num.20049
  Kurganov, A & Petrova, G, 2005, 'Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws', Numerical Methods for Partial Differential Equations, vol. 24, no. 3, pp. 76-552.
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  Local error analysis for approximate solutions of hyperbolic conservation laws Jan-2005

  DOI: 10.1007/s10444-005-7099-8
  Karni, S & Kurganov, A, 2005, 'Local error analysis for approximate solutions of hyperbolic conservation laws', Advances in Computational Mathematics, vol. 36, no. 1, pp. 1739-99.
• Public

  On degenerate saturated-diffusion equations with convection Dec-2004

  DOI: 10.1088/0951-7715/18/2/009
  Chertock, A, Kurganov, A & Rosenau, P, 2004, 'On degenerate saturated-diffusion equations with convection', Nonlinearity, vol. 7, no. 2, pp. 341-630.
• Public

  On a hybrid finite-volume-particle method Nov-2004

  DOI: 10.1051/m2an:2004051
  Chertock, A & Kurganov, A, 2004, 'On a hybrid finite-volume-particle method', ESAIM: Mathematical Modelling and Numerical Analysis, vol. 21, no. 6, pp. 995-1091.
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  Compressible two-phase flows by central and upwind schemes May-2004

  DOI: 10.1051/m2an:2004024
  Karni, S, Kirr, E, Kurganov, A & Petrova, G, 2004, 'Compressible two-phase flows by central and upwind schemes', ESAIM: Mathematical Modelling and Numerical Analysis, vol. 124, no. 3, pp. 286-493.
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  Formation of discontinuities in flux-saturated degenerate parabolic equations Aug-2003

  DOI: 10.1088/0951-7715/16/6/301
  Chertock, A, Kurganov, A & Rosenau, P, 2003, 'Formation of discontinuities in flux-saturated degenerate parabolic equations', Nonlinearity, vol. 3, no. 6, pp. 44-1898.
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  Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers Aug-2002

  DOI: 10.1002/num.10025
  Kurganov, A & Tadmor, E, 2002, 'Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers', Numerical Methods for Partial Differential Equations, vol. 160, no. 5, pp. 720-608.
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  Central-Upwind Schemes for the Saint-Venant System May-2002

  DOI: 10.1051/m2an:2002019
  Kurganov, A & Levy, D, 2002, 'Central-Upwind Schemes for the Saint-Venant System', ESAIM: Mathematical Modelling and Numerical Analysis, vol. 25, no. 3, pp. 1002-425.
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  A Smoothness Indicator for Adaptive Algorithms for Hyperbolic Systems May-2002

  DOI: 10.1006/jcph.2002.7024
  Karni, S, Kurganov, A & Petrova, G, 2002, 'A Smoothness Indicator for Adaptive Algorithms for Hyperbolic Systems', Journal of Computational Physics, vol. 36, no. 2, pp. 1739-341.
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  Central schemes and contact discontinuities Nov-2000

  DOI: 10.1051/m2an:2000126
  Kurganov, A & Petrova, G, 2000, 'Central schemes and contact discontinuities', ESAIM: Mathematical Modelling and Numerical Analysis, vol. 54, no. 6, pp. 115-1275.
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  New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection–Diffusion Equations May-2000

  DOI: 10.1006/jcph.2000.6459
  Kurganov, A & Tadmor, E, 2000, 'New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection–Diffusion Equations', Journal of Computational Physics, vol. 25, no. 1, pp. 1002-282.
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  New High-Resolution Semi-discrete Central Schemes for Hamilton–Jacobi Equations May-2000

  DOI: 10.1006/jcph.2000.6485
  Kurganov, A & Tadmor, E, 2000, 'New High-Resolution Semi-discrete Central Schemes for Hamilton–Jacobi Equations', Journal of Computational Physics, vol. 77, no. 2, pp. 439-742.
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  Breakdown in Burgers-type equations with saturating dissipation fluxes Jan-1999

  DOI: 10.1088/0951-7715/12/2/006
  Goodman, J, Kurganov, A & Rosenau, P, 1999, 'Breakdown in Burgers-type equations with saturating dissipation fluxes', Nonlinearity, vol. 87, no. 2, pp. 408-268.

Grants

Patents