Abstract: I present the essential ideas for constructing fully discrete schemes of arbitrary order of accuracy in space and time for solving hyperbolic equations. I outline various ways of solving the associated generalized Riemann problem and illustrate the performance of the method though some practical applications including compressible multiphase flows.

CURRENT POSITION

Professor of Numerical Analysis, University of Trento, Italy (from January 2002).

HONOURS AND DISTINCTIONS

Ø       Honorary title OBE (Officer of the Order of the British Empire) ,conferred by Queen Elizabeth II of England, Buckingham Palace, London, December 2000.

Ø       Distinguished Citizen of the City of Carahue, Chile, December 2001.

Ø       Visiting Fellow, Claire Hall, University of Cambridge, United Kingdom (as from January 2003).

Ø       Fellow of the Indian Society for Shock Wave Research, Bangalore, India, July 2005.

Ø       Doctor Honoris Causa (Universidad de Santiago de Chile, 2 de Abril 2008).

MAIN AREAS OF RESEARCH INTEREST

Ø        Numerical methods for partial differential equations, with particular emphasis on methods for hyperbolic equations.Design and application of new algorithms.

Ø        Hyperbolic partial differential equations as mathematical models of various types of processes.

Ø        Mathematical modelling and simulation of physico/chemical processes that include wave propagation phenomena. Modelling of multiphase flows.

Ø        Application of models and methods to real problems. Examples include: propulsion in the aerospace industry, nuclear reactor safety, acidental collapse of dams, seismic waves, generation and propagation of tsunamis, application of shock waves to medicine and to industrial problems.

PUBLICATIONS

Author of two books; editor of two books of contributed research

papers and author/co-author of more than 220 publications.