Books (as author):

  1. A.M.Anile, J.K.Hunter, P.Pantano, G.Russo, ``Ray Methods for non-Linear Waves in Fluids and Plasmas'', Longman Scientific & Technical, Harlow (UK), 1993.
  2. G. Naldi, L. Pareschi, G. Russo, ``Introduzione al Calcolo Scientifico: metodi e applicazioni con Matlab'', McGraw-Hill, Milano, 2001.

    Chapters in books:

  3. G. Russo, ``Central schemes and Systems of Balance Laws'', in ``Hyperbolic Partial Differential Equations, Theory, Numerics and Applications'', edited by A. Meister and I. Struckmeier, Vieweg, Wiesbaden (D), 2002.
  4. A.M.Anile, N.Nikiforakis, V.Romano, G.Russo, ``Discretization of semiconductor device problems. II'',  Handbook of numerical analysis. Vol. XIII,  443--522, North-Holland, Amsterdam, 2005.
  5. Filbet, Francis; Russo, Giovanni, ``Accurate numerical methods for the Boltzmann equation'', in Modeling and computational methods for kinetic equations, 117--145, Model. Simul. Sci. Eng. Technol., Birkhäuser Boston, Boston, MA, 2004.
  6. G.Russo, ``Central schemes for conservation laws with application to shallow water equations", in Trends and applications of mathematics to mechanics : STAMM 2002,  S. Rionero and G. Romano (editors), pp.225--246, Springer-Verlag Italia SRL, 2005

    Books (as editor):

    .
  7. P.Degond, L.Pareschi, G.Russo, Eds., ``Modeling and computational methods for kinetic equations'', Modeling and Simulation in Science, Engineering and Technology. Birkhäuser Boston, Inc., Boston, MA, 2004.
  8. L.Pareschi, G.Russo, G.Toscani, ``Modeling and computational methods for kinetic equations'',  Edited by Pierre Degond, Lorenzo Pareschi and Giovanni Russo,  Modeling and Simulation in Science, Engineering, & Technology, Birkhäuser Boston, Inc., Boston, MA, 2004.

Articles

  1. S.U. Campisano, P. Baeri, E. Rimini, A.M.Malvezzi, G. Russo ``Impurity redistribution in Bi-implanted Si after nanosecond and picosecond Nd laser pulse irradiation'', Appl. Phys. Lett. 41 (5), 456-458, 1982.
  2. E.Rimini and G.Russo ``Crystallization induced by pulsed laser irradiation'', Materials Chemistry and Physics 9, 257-265, 1983.
  3. P.Baeri, M.A.Harith, G.Russo, E.Rimini, A.Giulietti, M.Vaselli ``Free carrier dynamic and energy transfer to the Si lattice during pico and nanosecond Nd laser pulse irradiation'', Phys. Stat. Sol. B 130, 225-233, 1985.
  4. G. Russo ``Generalized Wavefront Expansion: properties and limitations'', Meccanica 21, 191-199, 1986.
  5. A.M. Anile, G. Russo ``Generalized Wavefront Expansion I. Higher order corrections for the propagation of weak shock waves'', Wave Motion 8, 243-258, 1986.
  6. A.M. Anile, G. Russo ``Corrugation stability for plane relativistic shock waves'', Phys. Fluids 29 (9), 2847-2852, 1986.
  7. A. Jeffrey, G. Russo ``Comparison of theoretical and numerical criteria for water wave breaking'', Wave Motion 9, 261-268, 1987.
  8. A.M. Anile, G. Russo ``Linear stability of plane relativistic shock waves'', Phys. Fluids 30, (4), 1045-1051, 1987.
  9. G. Russo, A.M. Anile ``Stability properties of relativistic shock waves : basic results'', Phys. Fluids 30 (8), 2406-2413, 1987.
  10. A.M. Anile, G. Russo ``Generalized Wavefront Expansion II. The propagation of step- shocks'', Wave Motion 10, 3-18, 1988.
  11. G. Russo ``Stability properties of relativistic shock waves : applications'', Astrophysics Journal 334, 391-415, 1988.
  12. G. Russo ``On the evolution of ordinary discontinuities and characteristic shocks'', Le Matematiche XLI (I-II), 123-141, 1986, University of Catania, Catania, Italy.
  13. S. Motta, G. Russo, H. Mook, J. Wick ``A number theoretical convergence proof of a point approximation of a space-homogeneous transport equation'', Le Matematiche XLI (I-II), 161-178, 1986, University of Catania, Catania, Italy.
  14. A.M. Anile, G. Russo ``Corrugation stability of magnetohydrodynamic shock waves'' in Nonlinear Wave Motion, Alan Jeffrey ed., Longman Scientific & Technical, London, 1989.
  15. G. Russo ``A particle method for collisional kinetic equations. I. Basic theory and one dimensional results.'', J. Comput. Phys. 87 (2), 270-300, 1990.
  16. S. Motta, G. Russo, H. Mook, J. Wick ``Point approximation of a space-homogeneous transport equation'', Numer. Math. 56, 763-774, 1990.
  17. G. Russo ``Some remarks on the stability of shock waves'', Meccanica 25 (2), 83-91, 1990.
  18. G.Russo ``Deterministic diffusion of particles'', Communications of Pure and Applied Mathematics XLIII, 697-733, 1990.
  19. G. Russo ``A Deterministic Vortex Method for the Navier-Stokes Equations'', J. Comput. Phys. 108 (2), 84-94, 1993.
  20. A. Majorana and G. Russo ``Stationary solutions of hydrodynamic models for semiconductor device simulation'', COMPEL 12 (1), 81-93, 1993.
  21. G. Russo and J.A. Strain ``Fast Triangulated Vortex Methods for the 2-D Euler Equations'', J. Comput. Phys. 111 (2), 291-323, 1994.
  22. G. Russo and P. Smereka ``Kinetic Theory of Bubbly Flow. I. Collisionless case'', SIAM J. Appl. Math. 56 (2), 327-357, 1996.
  23. G. Russo and P. Smereka ``Kinetic Theory of Bubbly Flow. II. Fluid Dynamic Limit'', SIAM J. Appl. Math. 56 (2), 358-371, 1996.
  24. R.E. Caflisch, Shi Jin, and G. Russo ``Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation'', SIAM J. Numer. Anal. 34 (1), 246-281, 1997.
  25. M. Morandi Cecchi, M. Redivo Zaglia, and G. Russo ``Extrapolation Methods for Hyperbolic Systems with Relaxation'', Journal of Computational and Applied Mathematics 66, 359-375, 1996.
  26. M. C. Recchioni, G. Russo ``Hamiltonian Based Numercial Methods for Fluid-Membrane Interaction in 2D and 3D'', SIAM J. Sci. Comput.19 (3), 861-892, 1998.
  27. T.P. Mathew, P.L. Polyakov, G. Russo, and J. Wang ``Domain Decomposition Operator Splitting for the Solution of Parabolic Equations'', SIAM J. Sci. Comput. 19 (3), 912-932, 1998.
  28. G. Russo, "A remark on the paper `The parameter dependence of the coefficient in a model for constant pressure steam injection in soil' '', Mathematical Models and Methods in Applied Sciences, 8 (8), 1317-1321, 1998.
  29. P. Degond, P.F. Peyrard, G. Russo, and P. Villedieu, "Polynomial upwind schemes for hyperbolic systems", C. R. Acad. Sci. Paris, t. 328, Série I, 479-483, 1999.
  30. D. Levy, G. Puppo, G. Russo, "Central WENO Schemes for Hyperbolic Systems of Conservation Laws", Mathematical Models and Numerical Anslysis, 33 (3) 547-571, 1999.
  31. G. Russo, P. Smereka, "Impulse formulation of the Euler Equations: general properties and numerical methods", Journal of Fluid Mechanics, 391, 189-209, 1999.
  32. F. Bianco, G. Puppo, G. Russo, "High order central schemes for hyperbolic systems of conservation laws", SIAM J. Sci. Comput., 21, 294-322 (1999).
  33. L. Pareschi, G. Russo, "Numerical solution of the Boltzmann equation I: spectrally accurate approximation of the collisional operator", SIAM J. Numer. Anal., 37 (4), 1217-1245, 2000.
  34. V. Romano, G. Russo, "Numerical solutions for hydrodynamical models of semiconductors", M3AS, 10(7), 1099-1120 (2000).
  35. A.M. Anile, V. Romano, G. Russo, "Extended Hydrodynamical Model of Carrier Transport in Semiconductors", SIAM J. Appl. Math., 61(1), 74-101 (2000).
  36. G. Russo, P. Smereka, "A level set method for the evolution of faceted interfaces", SIAM J. Sci. Comput., 163(1), 51-67 (2000).
  37. L. Pareschi, G. Russo, G. Toscani, "Methode spectrale rapide pour l'equation de Fokker Planck Landau", C. R. Acad. Sci. Paris, Sér. I Math. 330(6), 517-522 (2000).
  38. Anile, Angelo Marcello; Junk, Michael; Romano, Vittorio; Russo, Giovanni,  ``Cross-validation of numerical schemes for extended hydrodynamical models of semiconductors'', Math. Models Methods Appl. Sci., 10(6), 833-861 (2000).
  39. S.F. Liotta, V. Romano, G. Russo, ``Central schemes for balance laws of relaxation type'',  SIAM J. Numer. Anal. 38 , no. 4, 1337-1356 (2000).
  40. L. Pareschi, G. Russo, ``Time relaxed Monte Carlo methods for the Boltzmann equation''. SIAM J. Sci. Comput. 23, no. 4, 1253-1273  (2001).
  41. L. Pareschi, G. Russo, G.Toscani, ``Fast spectral methods for the Fokker-Planck-Landau collision operator''. J. Comput.Phys.165 no. 1, 216-236 (2000).
  42. G. Russo, P. Smereka, ``A remark on computing distance functions''. J. Comput. Phys. 163  no. 1, 51-67 (2000).
  43. D. Levy, G. Puppo, G. Russo, ``Compact central WENO schemes for multidimensional conservation laws''. SIAM J. Sci. Comput. 22 no. 2, 656-672 (2000).
  44. 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, pp.269-289 (2000).
  45. D. Levy, G. Puppo, G. Russo, ``A fourth order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws'', SIAM J. Sci. Comp.24 (2002), no. 2, 480-506.
  46. T.Mathew, G. Russo, ``Maximum norm stability of difference schemes for parabolic equations on overset non-matching space-time grids'', on Mathematics of Computation, 72 (242), pp.610-656 (2002).
  47. F.Filbet, G.Russo, ``High order numerical methods for the space non homogeneous Boltzmann equation.'', J. Comput. Phys. 186 (2003), no. 2, 457--480.
  48. L.Pareschi, G.Puppo, G. Russo, ``Central Runge-Kutta Schemes for Conservation Laws'', SIAM J. Sci. Comput. 26 (2005), no. 3, 979--999.
  49. Teshukov, Vladimir; Russo, Giovanni; Chesnokov, Alexander ``Analytical and numerical solutions of the shallow water equations for 2D rotational flows'',.  Math. Models Methods Appl. Sci.  14  (2004),  no. 10, 1451--1479.
  50. Russo, G.; Teshukov, V. M.; Chesnokov, A. A. ``A special class of solutions of the kinetic equation of a bubbly fluid'' (Russian)  Prikl. Mekh. Tekhn. Fiz.  46  (2005),  no. 2, 33--43;  translation in  J. Appl. Mech. Tech. Phys.  46  (2005),  no. 2, 176--184.
  51. L.Sander, P.Smereka, G.Russo, ``Quasicontinuum Monte Carlo: A method for surface growth caculations'',  Phys. Rev. B, 69 121406(R)
    (2004).
  52. Peter Smereka, Xingquan Li, Giovanni Russo, D.J. Srolovitz, ``Simulation of faceted film growth in three dimensions: microstructure, morphology and texture'', Acta Materialia 53 (2005) 1191–1204.
  53. Giovanni Russo a, Peter Smereka, ``Computation of strained epitaxial growth in three dimensions 3 by kinetic Monte Carlo'', Journal of Computational Physics, Volume 214, Issue 2, 20 May 2006, Pages 809-828.
  54. P  Carlini, E.; Ferretti, R.; Russo, G. ``A weighted essentially nonoscillatory, large time-step scheme for Hamilton-Jacobi equations''.  SIAM J. Sci. Comput.  27  (2005),  no. 3, 1071--1091.

Conference proceedings

  1. S.U. Campisano, P. Baeri, E. Rimini, G.Russo, A.M. Malvezzi ``Impurity redistribution in ion implanted Si after picosecond Nd laser pulse irradiation'', Mat. Res. Soc. Symp. Proc. 13, 273-279, 1983.
  2. E.Rimini, P.Baeri, G.Russo ``Fundamental of laser pulse irradiation of Silicon'', Proc. of the Int. Conf. on Energy Pulse Modification, Dresda, Sept.1984, pp. 3-13.
  3. A.M. Anile, G. Russo ``A geometric theory for the propagation of weak shock waves'', Proc. of the German-Italian Symposium on ``Applications of Mathematics to Technology'', Rome, March 26-30, 1984, G.B.Teubner, Stuttgart, pp.96-123.
  4. A.M. Anile, G. Russo ``Asymptotic methods for shock wave propagation'', Proceedings of the workshop on ``Mathematical Aspects of Fluid and Plasma Dynamics'', Trieste, May 30 - June 2, 1984, pp. 5-15.
  5. G. Russo ``A Lagrangian method for collisional kinetic equations'', proceedings of the AMS-SIAM Summer Seminar, Colorado State University, Fort Collins, Colorado, 18-29 Luglio, Lecture Notes in Applied Mathematics 26, 519-540, 1990, American Mathematical Society.
  6. G. Russo ``Deterministic Vortex Methods for the Incompressible Navier- Stokes Equation'', proceedings of the meeting ``The Free Lagrangian Conference'', June 3-7, 1990, Jackson Lake Lodge, Wyoming.
  7. G. Russo ``Free Lagrangian Vortex Methods for the Incompressible Navier- Strokes Equations'', proceeding of the 1990 AMS-SIAM Summer Seminar on Vortex Dynamics and Vortex Methods, Seattle, Washington, June 18-29, 1990.
  8. A. Majorana and G.Russo ``Mathematical aspects of a hydrodynamic model for device simulation'', Proceedings of the VI International Conference on Waves and Stability in Continuous Media, Acireale, May 27-June 1, 1991, Le Matematiche XLVI, 235-246, 1991.
  9. G. Russo and J. K. Hunter ``A transport equation for the evolution of shock amplitudes along the rays'', Proceedings of the VI International Conference on Waves and Stability in Continuous Media, Acireale, May 27-June 1, 1991, Le Matematiche XLVI, 403-413, 1991.
  10. G.Russo and R.E. Caflisch ``Implicit Numerical Methods for Kinetic Equations'', Proceedings of the Fourth International Conference on Hyperbolic Problems, Theory, Numerical Methods and Applications, Taormina, April 3-8, 1992.
  11. G. Russo and R.E. Caflisch ``Implicit Methods for Kinetic Equations'', proceedings of the 18th International Simposium on Rarefied Gas Dynamics, Vancouver, Canada, July 26-31, 1992.
  12. M.C. Recchioni, G. Russo ``A Lagrangian Numerical Method for Fluid-Membrane Interaction in 2D and 3D'', Forum di Vortex Methods for Engineering Application, Albuquerque, New Mexico, February 22-24, 1995.
  13. G. Califano, G. Di Stefano, G. Fabrizi, G. Russo, and L. Sponta ``Performance Analysis of Threshold Neurons with Discrete Weights'', Proceedings of TAINN 96, Fifth International Symposium on Artificial Intelligence and Neural Networks, pp.24-33, Instanbul, 1996.
  14. F. Bianco, G. Puppo, G. Russo, ``High Order Central Schemes for Hyperbolic Systems of Conservation Laws'', HYP-98 Seventh International Conference on Hyperbolic Problems, Theory, Numerics, Applications, ETH Zuerich, Switzerland, February 9-13, 1998.
  15. S.F. Liotta, V. Romano, G. Russo, ``Central Schemes for Systems of Balance Laws'', HYP-98 Seventh International Conference on Hyperbolic Problems, Theory, Numerics, Applications, ETH Zuerich, Switzerland, February 9-13, 1998.
  16. G. Russo, ``On the impulse formulation of the Euler Equations'', Proceedings of the IX International Conference on Waves and Stability in Continuous Media, Rendiconti del Circolo Matematico di Palermo, Seie II, Suppl. 57, pp. 447-542, 1998.
  17. V. Romano, G. Russo, ``Hyperbolicity condition for the hydrodynamical model of charge transport in semiconductor based on Extended Thermodynamics'', Proceedings of the IX International Conference on Waves and Stability in Continuous Media, Rendiconti del Circolo Matematico di Palermo, Seie II, Suppl. 57, pp. 433-438, 1998.
  18. F. Bianco, G. Puppo, G. Russo, ``High order central schemes for hyperbolic systems of conservation laws",Proceedings of the IX International Conference on Waves and Stability in Continuous Media, Rendiconti del Circolo Matematico di Palermo, Seie II, Suppl. 57, pp. 47-50, 1998.
  19. A. M. Anile, V. Romano, G. Russo, ``Hyperbolic Hydrodynamical Model of carrier Transport in Semiconductors'', VLSI Design, Vol. 8, pp.521-525, 1998.
  20. D.  Levy, G. Puppo, G. Russo, ``On the Behavior of the Total Variation in CWENO Methods for Conservation Laws'', proceeding of ICOSAHOM 98, Herzliya, Israel, June 22-26, 1998, Applied Numerical Mathematics 33, 407-414 (2000)  (reprint in PDF) .
  21. D.  Levy, G. Puppo, G. Russo, ``A Third Order Central Weno Scheme for 2D Conservation Laws'', proceeding of ICOSAHOM 98, Herzliya, Israel, June 22-26, 1998, Applied Numerical Mathematics 33, 415-421 (2000) (reprint in PDF) .
  22. L. Pareschi, G. Russo, ``On the stability of spectral methods for the homogeneous Boltzmann equation'', proceedings of the Fifth International Workshop on Mathematical Aspects of Fluid and Plasma Dynamics, Maui, Hawaii, June 28 - July 3, 1998.
  23. L. Pareschi, G. Russo, ``Asymptotic preserving Monte Carlo methods for the Boltzmann equation'', proceedings of the Fifth International Workshop on Mathematical Aspects of Fluid and Plasma Dynamics, Maui, Hawaii, June 28 - July 3, 1998.
  24. R. Fazio, G. Russo, ``A Lagrangian central scheme for multi-fluid flows''. Hyperbolic problems: theory, numerics, applications, Vol. I, II (Magdeburg, 2000), 347-356, Internat. Ser. Numer. Math., 140, 141, Birkhäuser, Basel, 2001.
  25. G. Russo, ``Central schemes for balance laws''. Hyperbolic problems: theory, numerics, applications, Vol. I, II (Magdeburg, 2000), 821-829, Internat. Ser. Numer. Math., 140, 141, Birkhäuser, Basel, 2001.
  26. L. Pareschi, G. Russo, ``Fast spectral methods for Boltzmann and Landau integral operators of gas and plasma kinetic theory''. Numerical analysis: methods and mathematical software (Italian) (Ferrara, 2000). Ann. Univ. Ferrara Sez. VII (N.S.) 46 (2000), suppl., 329-341.
  27. Russo, G. ``Central schemes for balance laws'' "WASCOM 2001"---11th Conference on Waves and Stability in Continuous Media (Porto Ercole), 503--514, World Sci. Publishing, River Edge, NJ, 2002
  28. G.Puppo, G.Russo, ``Staggered Finite Difference Schemes for Conservation Laws'', ICOSAHOM 2004, Brown University, Providence, RI, June 21--25, 2004, Journal of Scientific Computing, ISSN: 0885-7474 (Paper) 1573-7691 (Online), March 2006.
  29. G.Puppo, G.Russo, ``Staggered Finite Difference Schemes for Balance Laws'', Proceedings of the
    10th International Conference on Hyperbolic Problems, Osaka, Japan, September 13--17 2004, Yokohama Publishers, Inc.
    101, 6-27 Satsukigaoka Aoba-ku, Yokohama 227-0053, Japan, (2006), pp.243--250.
  30. G.Russo, L.Pareschi, S.Trazzi, A.A.Shevyrin, Ye.A.Bondar, M.S.Ivanov, ``Comparison between Time Relaxed Monte Carlo Method and Majorant Frequency Scheme methods for the space homogeneous Boltzmann equation'', Proceedinds of the 24-th International Symposium on Rarefied Gas Dynamics, Monopoli (Bari), July 10-16, 2004, Mario Capitelli Editor, American Institute of Physics Proccesing 762, p.571, Melville, New York, 2005.
  31. G.Russo, L.Pareschi, S.Trazzi, A.A.Shevyrin, Ye.A.Bondar, M.S.Ivanov, Plane Couette, ``Flow Computations by TRMC and MFS Methods'', Proceedinds of the 24-th International Symposium on Rarefied Gas Dynamics, Monopoli (Bari), July 10-16, 2004, Mario Capitelli Editor, American Institute of Physics Proceeding 762, p.577, Melville, New York, 2005. 
  32. Pidatella, R. M.; Russo, G. ``Solving conservation laws by ADER central Runge-Kutta schemes'',  Applied and industrial mathematics in Italy,  428--439, Ser. Adv. Math. Appl. Sci., 69, World Sci. Publ., Hackensack, NJ, 2005.
Lecture notes
  1. Pareschi, Lorenzo; Russo, Giovanni ``An introduction to Monte Carlo methods for the Boltzmann equation''. CEMRACS 1999 (Orsay), 35--76 (electronic), ESAIM Proc., 10, Soc. Math. Appl. Indust., Paris, 1999.
  2. Pareschi, Lorenzo; Russo, Giovanni,  ``An introduction to the numerical analysis of the Boltzmann equation'',  Riv. Mat. Univ. Parma (7)  4**  (2005), 145--250.

Papers in press

  1. G.Russo, P.Smereka, ``A Multigrid-Fourier Method for the Computation of Elastic Fields with
    Application to Heteroepitaxy'', SIAM Journal on Multiscale Modeling and Simulation, accepted.
     

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