Faculty

Oscar P. Bruno

Professor of Applied and Computational Mathematics

Degrees and Appointments

Lic., University of Buenos Aires, 1982; Ph.D., New York University (Courant Institute of Mathematical Sciences), 1989. Associate Professor, Caltech, 1995-98; Professor, 1998-. Executive Officer for Applied Mathematics, 1998-2000.

Research Overview

Our efforts concern development of accurate, high-performance numerical PDE solvers applicable to realistic scientific and engineering configurations. Major theoretical and computational difficulties arise in associated areas of PDE theory, numerical analysis and computational science as a result of manifold complexities, including intricate geometries, solution singularities, resonances, nonlinearities, high-frequencies, dispersion, etc. Fourier Continuation (FC) and integral-equation techniques recently developed in our group have enabled accurate solution of previously intractable PDE problems of fundamental importance in science and engineering.

List of Research Areas

Partial Differential Equations: Theory and Numerical Methods. Computational Science (Computational Electromagnetics, CFD, Computational Solid Mechanics). Numerical Analysis. Multiphysics Modeling and Simulation. Mathematical Physics.