Adjunct Professor of Civil and Environmental Engineering Practice and Biomedical Engineering Practice
Inverse Problems and the Importance of Unconscious Processes
Athanassios S. Fokas, PhD, MD
Department of Applied Mathematics and Theoretical Physics
University of Cambridge
Given Friday April 10, 2015
Please view Video here:
USC Viterbi Fall 2016 Fokas Method Course
The USC Viterbi School of Engineering is excited to announce that Professor Fokas will be teaching EE 599: The Fokas Method - A Hybrid Analytical-Numerical Approach for Solving PDEs this Fall. We will also be posting parts of the lectures for this course online. Please review the associated links on the left and information below for additional information.
The Method of Fokas for Solving Linear Partial Differential Equations
The classical methods for solving initial-boundary-value problems for linear partial differential equations with constant coefficients rely on separation of variables and specific integral transforms. As such, they are limited to specific equations, with special boundary conditions. Here we review a method introduced by Fokas, which contains the classical methods as special cases. However, this method also allows for the equally explicit solution of problems for which no classical approach exists. In addition, it is possible to elucidate which boundary-value problems are well posed and which are not. We provide examples of problems posed on the positive half-line and on the finite interval. Some of these examples have solutions obtainable using classical methods, and others do not. For the former, it is illustrated how the classical methods may be recovered from the more general approach of Fokas.
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