Papers and preprints


[before 1998]
[1998][1999][2000][2001][2002][2003][2004][2005][2006][2007]
[preprints]

    before 1998

  1. E.Gabetta, L.Pareschi, Large-time behaviours of some fully discrete kinetic models in bounded domains. Le Matematiche, Vol.XLVI, Fasc. I (1991), pp.147-157.

  2. E.Gabetta, L.Pareschi, Stochastic aspects in nonlinear discrete kinetic theory, Proceedings of the IUTAM Symposium on Nonlinear Stochastic Mechanics, Turin, (1992), Springer-Verlag, Berlin, pp.237-245.

  3. E.Gabetta, L.Pareschi, Approximating the Broadwell model in a strip, Mathematical Models and Methods in Applied Sciences, Vol.2, No.1 (1992), pp.1-19.

  4. B.Bagni, D.Bollini, C.Leoni, C.Pallotti, L.Pareschi, P.Petazzoni, Computerized detection of clustered microcalcification: A modular approach using nonlinear filters, Physica Medica, Vol.IX, No.4, (1994).

  5. L.Pareschi, Kinetic approach to a diffusion problem, Proceedings of the National AIMETA symposium on Stocastic Mechanics, F. Casciati Ed., Taormina, (1994), pp.249-258.

  6. E.Gabetta, L.Pareschi, Nonlinear evolution of probability vectors of interest in discrete kinetic theory, Nonlinear Dynamics, Vol.5, No.3 (1994), pp.375-391.

  7. A.V.Bobylev, E.Gabetta, L.Pareschi, On stationary solutions to plane Broadwell model, Transport Theory and Statistical Physics, Vol.24, No.1-3, (1994), pp.289-305.

  8. A.V.Bobylev, E.Gabetta, L.Pareschi, On a boundary value problem for the plane Broadwell model. Exact solutions and numerical simulation, Mathematical Models and Methods in Applied Sciences, Vol.5, No.3, (1995), pp.253-266.

  9. E.Gabetta, L.Pareschi, The Maxwell gas and its Fourier transform towards a numerical approximation, Proceedings WASCOM 93, Series on Advances in Mathematics for Applied Sciences, Vol.23, (1995), pp.197-201.

  10. L.Pareschi, Regularity results for the non cutoff Kac equation. Annali Università di Ferrara, Sez.VII - Sc. Mat.,Vol.XLII, (1996), pp.31-50.

  11. E.Gabetta, L.Pareschi, Boundedness of moments and trend to equilibrium for the non cutoff Kac equation, Proceedings WASCOM 95, Rendiconti del Circolo Matematico di Palermo, Serie II, Suppl. 45, (1996), pp.285-298.

  12. E.Gabetta, L.Pareschi, G.Toscani, Wild's sums and numerical approximation of nonlinear kinetic equations, Transport Theory and Statistical Physics, Vol.25, No.3-5, (1996), pp.515-531.

  13. E.Gabetta, L.Pareschi, About the non cut-off Kac equation: Uniqueness and asymptotic behaviour, Communications on Applied Nonlinear Analisys, Vol.4 , No.1, (1997), pp.1-20.

  14. L.Pareschi, B.Perthame, A Fourier spectral method for homogeneous Boltzmann equations, Transport Theory and Statistical Physics, Vol.25, No.3-5, (1996), pp.369-383.

  15. E.Gabetta, L.Pareschi, G.Toscani, Relaxation schemes for nonlinear kinetic equations, SIAM J. Numerical Analysis, Vol. 34, No. 6, pp. 2168-2194, (1997).

    1998

  16. L.Pareschi, Characteristic-based numerical schemes for hyperbolic systems with nonlinear relaxation, Proceedings 9th Int. Conf. on Waves and Stability in Continuous Media, Rendiconti Circolo Matematico di Palermo, Serie II, Suppl. 57, pp. 375-380, (1998).
  17. S.Jin, L.Pareschi, G.Toscani, Diffusive relaxation schemes for multiscale discrete-velocity kinetic equations, SIAM J. Numerical Analysis, Vol. 35, No. 6, pp. 2405-2439, (1998).
  18. G.Naldi, L.Pareschi, Numerical schemes for kinetic equations in diffusive regimes, Applied Math. Letters, Vol.11, No.2, pp. 29-35, (1998).

    1999
  19. R.E.Caflisch, L.Pareschi, An implicit Monte Carlo method for rarefied gas dynamics I: The space homogeneous case, J. Computational Physics, 154, pp. 90-116, (1999).
  20. G.Naldi, L.Pareschi, G.Toscani, Hyperbolic relaxation approximation to nonlinear parabolic problems, Proceedings 7th Int. Conf. on Hyperbolic Problems: Theory, Numerics, Application, ETH Zurich 1998, Internat. Series of Num. Math., Vol. 130, Birkhauser Verlag Basel, pp. 747-756, (1999).

    2000
  21. G.Naldi, L.Pareschi, Numerical schemes for hyperbolic systems of conservation laws with stiff diffusive relaxation, SIAM J. Numerical Analysis, Vol. 37, No. 4, pp. 1246-1270, (2000).
  22. L.Pareschi, G.Russo, Numerical solution of the Boltzmann equation I: Spectrally accurate approximation of the collision operator, SIAM J. Numerical Analysis, Vol. 37, No. 4, pp. 1217-1245, (2000).
  23. S.Jin, L. Pareschi, G. Toscani, Uniformly accurate diffusive relaxation schemes for multiscale transport equations, SIAM J. Numerical Analysis, Vol. 38, No. 13, pp. 913-936, (2000).
  24. L.Pareschi, G.Russo, Asymptotic preserving Monte Carlo methods for the Boltzmann equation, Transp. Theo. Stat. Phys. 29, 3-5, pp.415-430, (2000).
  25. E.Gabetta, L.Pareschi, M.Ronconi, Central schemes for hydrodynamical limits of discrete-velocity kinetic equations, Transp. Theo. Stat. Phys. 29, 3-5, pp.465-477, (2000).
  26. L.Pareschi, G.Russo, On the stability of spectral methods for the homogeneous Boltzmann equation, Transp. Theo. Stat. Phys. 29, 3-5, pp.431-447, (2000)
  27. L.Pareschi, G.Russo, Fast spectral methods for Boltzmann and Landau integral operators of gas and plasma kinetic theory, con G.Russo. Proceedings Analisi Numerica metodi e software matematico, Annali Università di Ferrara, Sez.VII - Sc. Mat., Vol.XLV, (2000), 329-341.
  28. L.Pareschi, G.Russo, G.Toscani, Methode spectrale rapide pour l'equation de Fokker Planck Landau, C. R. Acad. Sci. Paris, t.330, Serie I, pp.517-522, (2000).
  29. L.Pareschi, G.Russo, G.Toscani, Fast spectral methods for the Fokker-Planck-Landau collision operator, J. Comp. Phys. 165, pp. 216-236, (2000).
  30. S.Jin, L.Pareschi, Discretization of the multiscale semiconductor Boltzmann equation by diffusive relaxation schemes, J. Comp. Phys. 161, pp.312-330, (2000).
  31. V.Comincioli, G.Naldi, L.Pareschi, G.Toscani, Numerical methods for multiscale hyperbolic systems and nonlinear parabolic equations, Proceedings Analisi Numerica metodi e software matematico, Annali Università di Ferrara, Sez.VII - Sc. Mat., Vol.XLV, (2000), 255-266.
  32. L.Pareschi, G.Russo Implicit-Explicit Runge-Kutta schemes for stiff systems of differential equations, Recent Trends in Numerical Analysis, Edited by L.Brugnano and D.Trigiante, Vol. 3, 269-289, (2000).

    2001
  33. S.Jin, L.Pareschi, Asymptotic preserving (AP) schemes for multiscale kinetic equations: a unified approach, Proceedings Hyperbolic problems: Theory, Numerics, Applications, Magdeburg, International Series of Numerical Mathematics, Birkhauser, 141, (2001), 573-582..
  34. L.Pareschi, G.Russo, Time Relaxed Monte Carlo methods for the Boltzmann equation, SIAM J. Sci. Comput. 23 (2001), no 4, 1253--1273
  35. L.Pareschi, Central differencing based numerical schemes for hyperbolic conservation laws with relaxation terms, SIAM J. Numer. Anal. 39 (2001), no. 4, 1395--1417
  36. L.Pareschi, G.Russo, An introduction to Monte Carlo methods for the Boltzmann equation. ESAIM: Proceedings, Vol.10, pp.35-75 (2001)
  37. L.Pareschi, B.Wennberg, A recursive Monte Carlo algorithm for the Boltzmann equation in the Maxwellian case, Monte Carlo Methods and Applications, Vol. 7, no. 3-4, pp.~349-357, (2001).
  38. G.Naldi, L.Pareschi, G.Toscani, Convergence of kinetic approximation to nonlinear diffusion problems, Proceedings Conference on Godunov Methods (Oxford, 1999), Kluwer Academic-Plenum Publishers, New York (2001), pp.655-662.

    2002
  39. O.Ascenzi, L.Pareschi, F.Segala, A precise computation of stress intensity factor on the front of a convex planar crack, International Journal Numerical Methods in Engineering, 54 (2002), pp.241-261.
  40. F.Filbet, L.Pareschi, Numerical solution of the non homogeneous Fokker-Planck-Landau equation. Progress in Industrial Mathematics at ECMI 2000, A.M.Anile, V.Capasso, A.Greco editors, Springer (2002), 325-331.
  41. F.Filbet, L.Pareschi, A numerical method for the accurate solution of the Fokker-Planck-Landau equation in the non homogeneous case, Journal of Computational Physics, 179, 1-26 (2002).
  42. S.Jin, L.Pareschi, M.Slemrod, A relaxation scheme for solving the Boltzmann equation based on the Chapman-Enskog expansion, Acta Mathematicae Applicatae Sinica, Vol. 18, (2002), no.1, 1-26.
  43. G.Naldi, L.Pareschi, G.Toscani, Relaxation schemes for PDEs and applications to fourth order diffusion equations, Surveys on Mathematics for Industry, 10, pp.315-343, (2002).

    2003
  44. L.Pareschi, G.Toscani, C.Villani,Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit, Numerische Mathematik, 93, pp.527-548, (2003).
  45. G.Naldi, L.Pareschi, G.Toscani, Spectral methods for one-dimensional kinetic models of granular flows and numerical quasi elastic limit, Mathematical Models and Numerical Analysis, 37, (2003), pp. 73-90.
  46. R.E.Caflisch, L.Pareschi, Towards and hybrid Monte Carlo method for rarefied gasdynamics, Ben Abdallah, Naoufel (ed.) et al., Transport in transition regimes. New York, NY: Springer. IMA Vol. Math. Appl. 135, pp.57-73 (2004).
  47. L.Pareschi, On the fast evaluation of kinetic equations for driven granular media, Numerical Analysis and Advanced Applications - Proceedings of ENUMATH 2001, the 4th conference on numerical mathematics and advanced applications, Ischia, July 2001, Springer-Italia, (2003).
  48. L.Pareschi, G.Russo, Asimptotically SSP schemes for hyperbolic systems with stiff relaxation, Hyperbolic Problems: Theory, Numerics, Applications : Proceedings of the Ninth International Conference on Hyperbolic Problems Held in Caltech, Pasadena, March 25-29, 2002, Springer, (2003), pp.241-255.
  49. L.Pareschi, Computational methods and fast algorithms for Boltzmann equations, Chapter 7, Lecture Notes on the discretization of the Boltzmann equation, Series on Advances in Mathematics for Applied Sciences, Vol. 63, World Scientific, (2003).
  50.  F.Filbet, L.Pareschi, Numerical solution of the Fokker-Planck-Landau equation by spectral methods. Commun. Math. Sci. 1 (2003), no. 1, 206--207.
  51. J.A.Carrillo, J.M.Mantas, J.Ortega, L.Pareschi, Parallel Integration of Hydrodinamical Approximations for the Boltzmann Equation on a Cluster of Computers, Journal of Computational Methods in Science and Engineering, Vol. 3, No. 3; pp: 337-346  (2003).
  52. A.Klar, L.Pareschi, M.Seaid, Uniformly accurate schemes for relaxation approximations to fluid dynamic equations, Applied Mathematics Letters, 16, (2003) pp.1123-1127.

    2004
  53. M.K.Banda, A.Klar, L.Pareschi, M.Seaid, Compressible and Incompressible Limits for Hyperbolic Systems with Relaxation, Journal of Computational and Applied Mathematics, 168 (2004) pp.41-52..
  54. L.Pareschi, G.Russo, G.Toscani, A kinetic approximation to Hele-Shaw flow, C. R., Math., Acad. Sci. Paris, Ser. I 338, No.2, pp.177-182 (2004).
  55. L.Pareschi, G.Toscani, Modelling and numerical methods for granular gases, Chapter 9, Modeling and computational methods for kinetic equations, Series: Modeling and Simulation in Science, Engineering and Technology, Birkhauser (2004), pp.259-286.
  56. P.Markowich, L.Pareschi, W.Bao, Quantum kinetic theory: modelling and numerics for Bose-Einstein condensation, Chapter 10, Modeling and computational methods for kinetic equations, Series: Modeling and Simulation in Science, Engineering and Technology, Birkhauser (2004), pp.287-320.
  57. L.Pareschi, M.Seaid, A New Monte Carlo Approach for Conservation Laws and Relaxation Systems, Lecture Notes in Computer Science, Vol. 3037, pp:281-288 (2004)
  58. C.Mouhot, L.Pareschi, Fast methods for the Boltzmann collision integral,  C. R., Math., Acad. Sci. Paris, Ser. I 339 (2004) pp.71-76.
  59. O.Ascenzi, L.Pareschi, F.Segala, Convergence of a quadrature formula for the approximation of stress intensity factor for planar cracks, Applied Mathematics and Computation, Volume 158, Issue 3, 15 (2004), pp 597-617.

     2005
  60. L.Pareschi, G.Puppo, G.Russo, Central Runge-Kutta schemes for hyperbolic conservation laws, SIAM J. Sci. Comp.  26, (2005) pp.979-999.
  61. F.Filbet, L.Pareschi, G.Toscani, Accurate numerical methods for the collisional motion of (heated) granular flows, J. Comp. Phys., 202, (2005), pp.216-235.
  62. P.Markowich, L.Pareschi, Fast, conservative and entropic numerical methods for the Bosonic Boltzmann equation, Numerische Math. 99 (2005), pp.509--532.

  63. L.Pareschi, G.Russo, S.Trazzi, A.Shevryn, Ye.Bondar, M.Ivanov, Comparison between TRMC and MFS methods for the space homogeneous Boltzmann equation Proceedings 24th International Symposium on Rarefied Gas Dynamics 2004, America Institute of Physics, (to appear)

  64. L.Pareschi, G.Russo, S.Trazzi, A.Shevryn, Ye.Bondar, M.Ivanov, Plane Couette Flow Computations by TRMC and MFS Methods, Proceedings 24th International Symposium on Rarefied Gas Dynamics 2004, America Institute of Physics, (to appear).

  65. L.Pareschi, S.Trazzi, Numerical solution of the Boltzmann equation by Time Relaxed Monte Carlo (TRMC) methods, International Journal of Numerical Methods in Fluids, 48, (2005), pp. 947-983.

  66. S.Cordier, L.Pareschi, G.Toscani, On a kinetic model for a simple market economy, Journal of Statistical Physics, 120, (2005), pp. 253-277.

  67. A.Klar, M.Herty, L.Pareschi, General kinetic models for vehicular traffic and Monte Carlo methods, Computational Methods in Applied Mathematics, 5, (2005), pp. 154-169.

  68. L.Pareschi, Hybrid multiscale methods for kinetic and hyperbolic problems, ESAIM: PROCEEDINGS, Vol.15, T. Goudon, E. Sonnendrucker & D. Talay, Editors, pp.87-120, (2005)

  69. L.Pareschi, G.Russo,  Implicit-Explicit Runge-Kutta methods and applications to hyperbolic systems with relaxation, J. Sci. Comput. 25 (2005), no. 1-2, 129--155.

  70. L.Pareschi, G.Russo, An introduction to the numerical analysis of the Boltzmann equation, Lecture Notes at M&KT 2004, Riv. Mat. Univ. Parma (7) 4** (2005), 145--250.

     2006   

  71. E.Ferrari, L.Pareschi, Hybrid Monte Carlo schemes for the diffusion of impurities in a gas, Modelling and Numerics of Kinetic Dissipative Systems, Nova-Science, New York (2006).

  72. L.Pareschi, G.Toscani, Overpopulated tails in non conservative kinetic models, Modelling and Numerics of Kinetic Dissipative Systems, Nova-Science, New York (2006).

  73. C.Mouhot, L.Pareschi, Fast algorithms for computing the Boltzmann collision operator,  Math. Comp. 75 (2006) 1833-1852.

  74. S.Brull, L.Pareschi, Dissipative hydrodynamic models for the diffusion of impurities in a gas, Appl. Math. Lett. 19 (2006), no. 6, 516--521.

  75. F.Filbet, C.Mouhot, L.Pareschi, Solving the Boltzmann equation in NlogN, SIAM J. Sci. Comput. 28, 1029 (2006)

  76. L.Pareschi, G.Toscani, Self-similarity and power-like tails in nonconservative kinetic models, J.Stat. Phys., 124, (2006), pp.747-779.

  77. G.Dimarco, L.Pareschi, Hybrid methods for multiscale problems I: hyperbolic relaxation system, Commun. Math. Sci. 4 (2006), no. 1, 155--177.

  78. M.Herty, L.Pareschi, M.Seaid, Discrete velocity models and relaxation schemes for traffic flows, SIAM J. Sci. Comput. 28, 1582 (2006)

    2007   

  79. Banda, M. K.; Klar, A.; Pareschi, L.; Seaid, M. Lattice-Boltzmann type relaxation systems and high order relaxation schemes for the incompressible Navier-Stokes equations, Math. Comp. (to appear)

  80. G.Dimarco, L.Pareschi, Domain decomposition techniques and hybrid multiscale methods for kinetic equations, Hyperbolic Problems: Theory, Numerics, Applications : Proceedings of the Eleven International Conference on Hyperbolic Problems, École Normale Supérieure de Lyon, Lyon, France July 17-21, 2006  (to appear)

  81. G.Dimarco, L.Pareschi, Hybrid methods for multiscale problems II: kinetic equations, SIAM Multiscale Modelling and Simulation (to appear)

  82. M.Herty, L.Pareschi, M.Seaid, Enskog-like discrete velocity models for vehicular traffic flow, Network and Heterogeneous Media 2, (2007) 481-496 (to appear)


    Preprints 

  83. L.Pareschi, S.Trazzi, Adaptive and recursive Time-Relaxed Monte Carlo methods for rarefied gas dynamics, (2006)

  84. E.Ferrari, L.Pareschi, Kinetic modelling and numerical methods for the diffusion of impurities in a gas, (2006)

  85. L.Pareschi, G.Russo, On the stability of Implicit-Explicit Runge-Kutta schemes for systems of balance laws, (2007)