Books (as author):
- 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.
- G. Naldi, L. Pareschi, G. Russo, ``Introduzione
al Calcolo Scientifico: metodi e applicazioni con Matlab'',
McGraw-Hill,
Milano, 2001.
Chapters in books:
- 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.
- 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.
- 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.
- 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):
.
- 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.
- 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
- 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.
- E.Rimini and G.Russo ``Crystallization induced by pulsed laser
irradiation'', Materials
Chemistry and Physics 9, 257-265, 1983.
- 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.
- G. Russo ``Generalized Wavefront Expansion: properties and
limitations'', Meccanica 21,
191-199, 1986.
- 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.
- A.M. Anile, G. Russo ``Corrugation stability for plane
relativistic
shock
waves'', Phys. Fluids 29 (9), 2847-2852, 1986.
- A. Jeffrey, G. Russo ``Comparison of theoretical and numerical
criteria
for water wave breaking'', Wave Motion 9, 261-268, 1987.
- A.M. Anile, G. Russo ``Linear stability of plane relativistic
shock
waves'', Phys.
Fluids 30, (4), 1045-1051, 1987.
- G. Russo, A.M. Anile ``Stability properties of relativistic shock
waves
: basic results'', Phys. Fluids 30 (8), 2406-2413, 1987.
- A.M. Anile, G. Russo ``Generalized Wavefront Expansion II. The
propagation
of step- shocks'', Wave Motion 10, 3-18, 1988.
- G. Russo ``Stability properties of relativistic shock waves :
applications'', Astrophysics
Journal 334, 391-415, 1988.
- G. Russo ``On the evolution of ordinary discontinuities and
characteristic
shocks'', Le Matematiche XLI (I-II), 123-141, 1986,
University
of Catania, Catania, Italy.
- 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.
- A.M. Anile, G. Russo ``Corrugation stability of
magnetohydrodynamic
shock
waves'' in Nonlinear Wave Motion, Alan Jeffrey ed., Longman
Scientific
& Technical, London, 1989.
- G. Russo ``A particle method for collisional kinetic equations.
I.
Basic
theory and one dimensional results.'', J. Comput. Phys. 87
(2), 270-300, 1990.
- S. Motta, G. Russo, H. Mook, J. Wick ``Point approximation of a
space-homogeneous
transport equation'', Numer. Math. 56, 763-774, 1990.
- G. Russo ``Some remarks on the stability of shock waves'', Meccanica
25
(2), 83-91, 1990.
- G.Russo ``Deterministic diffusion of particles'', Communications
of
Pure and Applied Mathematics XLIII, 697-733, 1990.
- G. Russo ``A Deterministic Vortex Method for the Navier-Stokes
Equations'', J.
Comput. Phys. 108 (2), 84-94, 1993.
- A. Majorana and G. Russo ``Stationary solutions of hydrodynamic
models
for semiconductor device simulation'', COMPEL 12 (1),
81-93,
1993.
- G. Russo and J.A. Strain ``Fast Triangulated Vortex Methods for
the 2-D
Euler Equations'', J. Comput. Phys. 111 (2), 291-323,
1994.
- G. Russo and P. Smereka ``Kinetic Theory of Bubbly Flow. I.
Collisionless
case'', SIAM J. Appl. Math. 56 (2), 327-357, 1996.
- G. Russo and P. Smereka ``Kinetic Theory of Bubbly Flow. II.
Fluid
Dynamic
Limit'', SIAM J. Appl. Math. 56 (2), 358-371, 1996.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- G. Russo, P. Smereka, "Impulse
formulation
of
the Euler Equations: general properties and numerical methods", Journal
of Fluid Mechanics, 391, 189-209, 1999.
- F. Bianco, G. Puppo, G. Russo, "High order
central
schemes for hyperbolic systems of conservation laws", SIAM J.
Sci.
Comput., 21, 294-322 (1999).
- 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.
- V. Romano, G. Russo, "Numerical
solutions for
hydrodynamical models of semiconductors", M3AS, 10(7),
1099-1120 (2000).
- A.M. Anile, V. Romano, G. Russo, "Extended
Hydrodynamical
Model of Carrier Transport in Semiconductors", SIAM J. Appl.
Math.,
61(1), 74-101 (2000).
- G. Russo, P. Smereka, "A level set
method
for
the evolution of faceted interfaces", SIAM J. Sci. Comput., 163(1),
51-67 (2000).
- 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).
- 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).
- 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).
- L. Pareschi, G. Russo, ``Time relaxed
Monte
Carlo
methods for the Boltzmann equation''. SIAM J. Sci. Comput. 23,
no. 4, 1253-1273 (2001).
- 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).
- G. Russo, P. Smereka, ``A remark on
computing
distance functions''. J. Comput. Phys. 163
no.
1, 51-67 (2000).
- D. Levy, G. Puppo, G. Russo, ``Compact
central WENO schemes for multidimensional conservation laws''. SIAM
J. Sci. Comput. 22 no. 2, 656-672 (2000).
- 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).
- 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.
- 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).
- F.Filbet, G.Russo, ``High order numerical
methods for the space non homogeneous Boltzmann
equation.'', J. Comput. Phys. 186 (2003), no. 2,
457--480.
- L.Pareschi, G.Puppo, G. Russo, ``Central
Runge-Kutta Schemes for Conservation Laws'', SIAM J.
Sci. Comput. 26 (2005), no. 3, 979--999.
- 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.
- 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.
- L.Sander, P.Smereka, G.Russo, ``Quasicontinuum Monte Carlo: A
method for surface growth caculations'', Phys. Rev. B,
69 121406(R)
(2004).
- 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.
- 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.
- 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
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- A. M. Anile, V. Romano, G. Russo, ``Hyperbolic Hydrodynamical
Model of
carrier Transport in Semiconductors'', VLSI Design, Vol. 8, pp.521-525,
1998.
- 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) .
- 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) .
- 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.
- 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.
- 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.
- 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.
- 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.
- 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
- 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.
- 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.
- 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.
- 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.
- 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
- 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.
- 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
- 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.