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Publications

February 7th, 2011 Comments off

Articles

  1. Hybrid Multiscale Methods I. Hyperbolic Relaxation Problems. G. Dimarco, L. Pareschi, Communications in Mathematical Sciences, Vol4, No. 1, pp.155-177, (2006). Preprint.
  2. Hybrid Multiscale Methods II. Kinetic Equations. G. Dimarco, L. Pareschi. SIAM Multiscale Modeling and Simulation Vol 6., No 4, pp.1169-1197 (2007). Preprint.
  3. A Moving Interface Method for Dynamic Kinetic-fluid Coupling. P. Degond, G. Dimarco, L. Mieussens. Journal of Computational Physics Vol. 227, pp. 1176-1208, (2007). Preprint.
  4. A Hybrid Method for Accelerated Simulation of Coulomb Collisions in a Plasma. R. Calfisch, C. Wang, G. Dimarco, B. Cohen and A. Dimits, SIAM Journal of Multiscale Modeling and Simulation Vol. 7, Issue 2, pp. 865-887 (2008). Preprint.
  5. Modelli e metodi numerici per equazioni iperboliche e cinetiche multiscala. G. Dimarco. La Matematica nella Società e nella Cultura – Rivista dell’Unione Matematica Italiana, Vol.2, pp. 235-238 (2009). Preprint.
  6. A Fluid Solver Independent Hybrid Method for Multiscale Kinetic equations. G. Dimarco, L. Pareschi, SIAM Journal on Scientific Computing Vol. 32 issue 2, pp. 603-634 (2010). Preprint.
  7. A Multiscale Kinetic-Fluid Solver with Dynamic Localization of Kinetic Effects. P. Degond, G. Dimarco, L. Mieussens. Journal of Computational Physics, Vol. 229, Issue 13, pp. 4907-4933 (2010). Preprint.
  8. Direct simulation Monte Carlo schemes for Coulomb interactions in plasmas. G. Dimarco, R. Caflisch, L. Pareschi. Communications in Applied and Industrial Mathematics, Vol. 1, Issue 1, pp. 72-91 (2010). Preprint.
  9. The Moment Guided Monte Carlo Method. P. Degond, G. Dimarco, L. Pareschi. International Journal for Numerical Methods in Fluids, Vol.67, Issue 2, pp. 189-213 (2011). Preprint.
  10. Exponential Runge-Kutta methods for stiff kinetic equations. G. Dimarco and L. Pareschi. SIAM Journal of Numerical  Analysis, Vol. 49 , pp. 2057-2077 (2011). Preprint.
  11. Fluid simulations with localized Boltzmann upscaling by direct Monte Carlo. P. Degond and G. Dimarco.  Journal of Computational Physics, Vol. 231, pp. 2414-2437 (2012). Preprint.
  12. High order asymptotic preserving schemes for the Boltzmann equation. G. Dimarco and L. Pareschi. C. R. Acad. Sci. Paris, Ser. I 350, pp. 481–486 (2012). Preprint.
  13. The hybrid moment guided Monte Carlo method for the Boltzmann equation. G. Dimarco. Kinetic and Related Models, Vol 6, pp. 291-315 (2013). Preprint.
  14. Asymptotic preserving implicit-explicit Runge-Kutta methods for non linear kinetic equations.  G. Dimarco and L. Pareschi.  SIAM Journal of Numerical Analysis, Vol. 51,  pp. 1064-1087 (2013) . Preprint.
  15. Towards an ultra efficient kinetic scheme. Part I: basics on the BGK equation. G. Dimarco and R. Loubere. Journal of Computational Physics, Vol. 255,  pp. 680-698 (2013). Preprint.
  16. Towards an ultra efficient kinetic scheme. Part II: The high order case. G. Dimarco and R. Loubere. Journal of Computational Physics, Vol. 255,  pp. 699-719 (2013). Preprint.
  17. Hydrodynamics of the Kuramoto-Vicsek model of rotating self-propelled particles. P. Degond, G. Dimarco and T.B. N. Mac.  Mathematical Models and Methods in Applied Sciences, Vol. 24, pp. 277-325 (2014) . Preprint.
  18. Implicit-Explicit Runge-Kutta schemes for the Boltzmann-Poisson system for semiconductors. G. Dimarco, L. Pareschi and V. Rispoli. Communications in Computational Physics Vol. 15, pp. 1291-1319  (2014).
  19. Numerical Methods for Kinetic Equations. G. Dimarco, L. Pareschi. To appear in Acta Numerica (2014).

Submitted

  1. An asymptotic preserving automatic domain decomposition method for the Vlasov-Poisson-BGK system with applications to plasmas. G. Dimarco, L. Mieussens, V. Rispoli. Submitted.

Proceedings

  1. Domain Decomposition Techniques and Hybrid Multiscale Methods for Kinetic Equations. G. Dimarco, L. Pareschi, Proceedings of the 11th International Conference on Hyperbolic problems: Theory, Numerics, Applications, pp. 457-464 (2007). Preprint.
  2. A remark on the finite number of particles effect in Monte Carlo methods for kinetic equations. G. Dimarco, P. Foscari, L. Pareschi. Proceedings of the 6th International Congress on Industrial and Applied Mathematics ICIAM07 Volume 7, Issue 1, pp. 1041003-1041004 (2007). Preprint.
  3. Simulation of non equilibrium plasmas with a numerical noise reduced particle in cell method. P. Degond, F. Deluzet, G. Dimarco, G. Gallice, P. Santagati and C. Tessieras. Proceedings of the 27th International Symposium on Rarefied Gas Dynamics. Pacific Grove, California, AIP Conference Proceedings, Vol. 133, pp. 1112-1117 (2010).  Preprint.
  4. A smooth transition approach between the Vlasov-Poisson and the Euler-Poisson system. G. Dimarco, L. Mieussens and V. Rispoli. Domain Decomposition Methods in Science and Engineering XXI, Lecture Notes in Computational Science and Engineering, Springer-Verlag 2013.

Other Publications

  1. Modeling and Numerical Methods for Multiscale Hyperbolic and Kinetic Equations. G. Dimarco. Annali on line dell’ Università di Ferrara Vol.I 2 (2007). Preprint.
  2. Hybrid Simulation of Ion Acoustic Waves Including Coulomb Collisions. R. Calfisch, G. Dimarco, Bruce Cohen, Andris Dimits, C.M. Wang, Yanghong Huang. 49th Annual Meeting of the Division of Plasma Physics, November 12-16, 2007; Orlando, Florida, USA. On Bulletin of the American Physical Society Vol 52, N 11.
  3. A Hybrid Monte Carlo Method for Coulomb Collisions. R. Calfisch, G. Dimarco, Bruce Cohen, Andris Dimits, C.M. Wang, Yanghong Huang. 49th Annual Meeting of the Division of Plasma Physics, November 12-16, 2007; Orlando, Florida, USA. On Bulletin of the American Physical Society Vol 52,N 11.
  4. Simulation of sheath problems with an accelerated Monte Carlo method. R. Calfisch, G. Dimarco, Bruce Cohen, Andris Dimits, C.M. Wang, Yanghong Huang. 49th Annual Meeting of the Division of Plasma Physics, November 12-16, 2007; Orlando, Florida, USA. On Bulletin of the American PhysicalSociety Vol 52, N 11.
  5. Hybrid Monte Carlo schemes for plasma simulations. G. Dimarco and J. Narski. International Conference on Numerical Analysis and Applied Mathematics ICNAAM 2011, AIP (American Institute of Physics) Conference Proceedings, Vol. 1389, pp. 1130-1133. (2011).
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