Time: 9h30, Tuesday, March 29, 2016
Location: Room 4, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract: Proper orthogonal decomposition (POD) was developed by several people: D.D. Kosambi (1943), M. Loève (1945), K. Karhunen (1946), V.S. Pougachev (1953) and A.M. Obukhov (1954). POD provides a basis for the modal decomposition of an ensemble of functions, such as data obtained by experiments. POD provides an efficient approach to capturing the dominant components of an infinite-dimensional (or of a huge dimensional) process with only finite many, often surprisingly few, modes. POD has applications in various discipline such as, fluid dynamics, image processing, signal analysis, weather forecast, oceanography, partial differential equations, optimal control, reduced order models ...
This talk aims to introducing the notion of POD and some of its applications in optimal control of systems governed by partial differential equations.