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from Part V - Boundary and Initial Boundary Value Problems
Published online by Cambridge University Press: 29 September 2022
Periodic differential equations and their approximation are the topic of this chapter. We discuss the application of classical finite difference schemes and their analysis in this setting. The spectral Galerkin method, that is, using trigonometric polynomials as basis is then discussed and we show its spectral accuracy. Finally the pseudo-spectral method is presented, its implementation via the DFT is discussed.
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