Abstract
The basic technique for solving PDEs on a bounded spatial domain is the Fourier method, named after Joseph Fourier (1768–1830). In this section we take a nineteenth-century perspective and make some comments about the origin of the method. Our discussion will motivate one of the fundamental topics in analysis and in PDEs, namely orthogonal expansions.
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© 2004 Springer Science+Business Media New York
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Logan, J.D. (2004). Orthogonal Expansions. In: Applied Partial Differential Equations. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8879-9_3
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DOI: https://doi.org/10.1007/978-1-4419-8879-9_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-20953-1
Online ISBN: 978-1-4419-8879-9
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