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Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, January 18, 2008 - 04:00

Location:

Gilkey 113

Guest Speaker:

John Singler

Institution:

OSU Mechanical Engineering

Abstract:

Model reduction and control problems for partial differential equations (PDEs) are important for many applications. For linear PDE systems, the solutions to such problems are known to exist, however they are still very challenging to compute accurately. In this talk, we present an overview of this area and also introduce new algorithms for balanced model reduction and control of linear infinite dimensional systems based on proper orthogonal decomposition (POD), an optimal data reconstruction technique. We use POD systematically to provide convergence theory and error bounds. To illustrate our approach, we focus on computing low rank approximate solutions of Lyapunov equations and approximate balanced reduced order models. We present numerical results for a model partial differential equation system.