Fourier Approximation

Ionut Danaila (), Pascal Joly, Sidi Mahmoud Kaber and Marie Postel
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Ionut Danaila: Université de Rouen Normandie, CNRS, Laboratoire de mathématiques Raphaël Salem
Pascal Joly: Laboratoire Jacques-Louis Lions
Sidi Mahmoud Kaber: Sorbonne Université, CNRS, Université Paris Cité, Laboratoire Jacques-Louis Lions
Marie Postel: Sorbonne Université, CNRS, Université Paris Cité, Laboratoire Jacques-Louis Lions

Chapter Chapter 3 in An Introduction to Scientific Computing, 2023, pp 53-73 from Springer

Abstract: Abstract Approximation of a given function by a trigonometric polynomial is an efficient tool to solve many problems arising in applied mathematics: signal and image processing, partial differential equations, etc. Approximation may mean either interpolation or best approximation. We present in this chapter the main features of these approaches. Numerical algorithms are also discussed.

Date: 2023
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DOI: 10.1007/978-3-031-35032-0_3

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