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The Time-Spectral Method: A Primer Stanford University
 

Summary: The Time-Spectral Method: A Primer
Kedar Naik
Stanford University
May 2011
2
Table of Contents
1 Introduction.................................................................................................................................4
1.1 The Method ............................................................................................................................4
1.2. Relevance to Flow Physics....................................................................................................4
1.3 Outline....................................................................................................................................5
2 Theoretical Development ...........................................................................................................5
2.1 Mathematical Preliminaries ...................................................................................................5
2.1.1 Periodicity .......................................................................................................................5
2.1.2 Discrete Complex Exponentials .....................................................................................6
2.1.3 The DFT ..........................................................................................................................7
2.1.4 The IDFT ........................................................................................................................8
2.1.5 Comments on the DFT and the IDFT .............................................................................9
2.1.6 The Nyquist Criterion ...................................................................................................10
2.1.7 Geometric Series ..........................................................................................................12
2.2 The Discretized Steady-State Period ...................................................................................12

  

Source: Alonso, Juan J. - Department of Aeronautics and Astronautics, Stanford University

 

Collections: Engineering