Applied Analysis and PDEs

Description

This course will cover the following topics:

  • Dynamical systems and bifurcation
  • Systems of hyperbolic PDEs and shock waves
  • Analysis of parabolic and elliptic PDEs (including existence, uniqueness, maximum principles, energy estimates, monotone iteration, regularity, eigenfunctions)
  • Sobolev imbeddings and trace theorems
  • Finite element approximations

Teaching staff for 2011-2012

Name Department University
Professor Jack Carr Mathematics Heriot-Watt University
Professor Mark Ainsworth Mathematics and Statistics University of Strathclyde
Dr Lyonell Boulton Mathematics Heriot-Watt University
Dr Michael Grinfeld Mathematics and Statistics University of Strathclyde
Professor Bryan Rynne Mathematics Heriot-Watt University

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