Capítulo de livro

Variational Methods for Periodic Motions; Mathieu Functions

2021; Springer Nature; Linguagem: Inglês

10.1007/978-3-030-69105-9_7

ISSN

2191-5423

Autores

Walter Dittrich,

Tópico(s)

Numerical methods for differential equations

Resumo

A new, highly interesting equation in mathematical physics appeared in 1868 when Emile Leonard Mathieu (1855–1890) studied wave equations with elliptical boundaries, i.e., when in cylindrical problems with circular boundary conditions, the latter were changed into elliptical ones. The associated equations of motion are called Mathieu’s equations of motion, and their solutions are named Mathieu functions.

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