Filtering Complex Turbulent Systems - Hardcover

Majda, Andrew J.; Harlim, John

Hardcover

ISBN 10: 1107016665 ISBN 13: 9781107016668

Publisher: Cambridge University Press, 2012

Synopsis

Many natural phenomena ranging from climate through to biology are described by complex dynamical systems. Getting information about these phenomena involves filtering noisy data and prediction based on incomplete information (complicated by the sheer number of parameters involved), and often we need to do this in real time, for example for weather forecasting or pollution control. All this is further complicated by the sheer number of parameters involved leading to further problems associated with the 'curse of dimensionality' and the 'curse of small ensemble size'. The authors develop, for the first time in book form, a systematic perspective on all these issues from the standpoint of applied mathematics. The book contains enough background material from filtering, turbulence theory and numerical analysis to make the presentation self-contained and suitable for graduate courses as well as for researchers in a range of disciplines where applied mathematics is required to enlighten observations and models.

About this title

About the Authors

Andrew J. Majda is the Morse Professor of Arts and Sciences at the Courant Institute of New York University.

John Harlim is Assistant Professor in the Department of Mathematics at North Carolina State University.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2012
• Language: English
• ISBN 10: 1107016665
• ISBN 13: 9781107016668
• Binding: Hardcover
• Number of pages: 368