publications

•  J. Dávila, J. Fernández Bonder, P. Groisman, J.D. Rossi, M. Sued. Numerical analysis of stochastic differential equations with explosions.

• P. Groisman, Adapting the time step to recover the asymptotic behavior in a blow-up problem.

• C. Brändle, P. Groisman y J.D. Rossi, Fully discrete adaptive methods for a blow-up problem, Math. Models Methods Appl. Sci.  14 (10), 1425--1450 (2004).

• R. Ferreira, P. Groisman y J.D. Rossi,  Numerical blow-up for the porous medium equation with a source. Numer. Methods Partial Differential Equations, 20 (4), 552--575  (2004).

• P. Groisman y J.D. Rossi, Aproximando soluciones que explotan. Boletín de la Sociedad Española de Matemática Aplicada No. 26, 35-56 (2003)

• P. Groisman y J.D. Rossi, Dependence of the blow-up time with respect to parameters and numerical approximations for a parabolic problem. Asymptot. Anal., 37(1) 79-91 (2004).

• P. Groisman, J. D. Rossi y H. Zaag, On the dependence of the blow-up time with respect to the initial data in a semilinear parabolic problem. Comm. Partial Differential Equations. 28 (3-4) 737-744 (2003).

• R. Ferreira, P. Groisman y J.D. Rossi, Adaptive numerical schemes for a parabolic problem with blow-up. IMA J.
  Numer. Anal.  23 (3) 439-463 (2003).

• F. Quirós, P. Groisman y J.D. Rossi, Non-simultaneous blow-up in a numerical approximation of a parabolic system. Comput. Appl. Math.  21(3) 813-831 (2002).

• G. Acosta, J. Fernandez Bonder, P. Groisman y J.D. Rossi, Simultaneous vs.  non-simultaneous blow-up in numerical approximations of a parabolic system with nonlinear boundary conditions. Math. Model. Numer. Anal. (M2AN). 32(1) 55-68 (2002).

•  R. Ferreira, P. Groisman y J.D. Rossi, Numerical blow-up for a nonlinear problem with a nonlinear boundary condition. Math. Models Methods Appl. Sci. (M3AS). 12 (4) 461-483 (2002).

•  G. Acosta, J. Fernandez Bonder, P. Groisman y J.D. Rossi, Numerical approximation of a parabolic problem with a nonlinear boundary condition in several space dimensions. Disc. Cont.  Dyn.  Sys.  2(2) 279-294 (2002).

•  J. Fernández Bonder, P. Groisman, J.D. Rossi, On numerical blow-up sets. Proc.  Amer.  Math.  Soc.  130 , 2049-2055 (2002). 

•  P. Groisman y J.D. Rossi.  Asymptotic behaviour for a numerical approximation of a parabolic problem with blowing up solutions. J. Comput. Appl. Math. 135(1), 135-155 (2001).

conferences

    these are the slides of some recent talks.

• Numerical approximation of SDE with explosions, 1^er ERPEM, Bs. As., 2004
• Ph. D Dissertation
• Continuity of the blow-up time and numerical approximations, Stgo. de Chile, 2003.
• Trato hecho y otros juegos de azar, Semana de la matemática, Bs. As., 2004.

thesis

• My Thesis deals with numerical approximations for PDEs with blow-up. You can find a survey (in spanish) here.
• Below is my Thesis

• Currently, I am studying stochastic differential equations and numerical approximations for these problems.
• I am part of the Research group on Differential Equations and Numerical Analysis.