Historical Developments in Singular Perturbations

This engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status. While the approach of the text is sophisticated, the literature is accessible to a broad audience. A particularly valuable bonus are the historical remarks....

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: O'Malley, Robert E. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Temas:
Differential equations.
Mathematics.
History.
Differential Equations.
History of Mathematical Sciences.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • Ludwig Prandtl's Boundary Layer Theory
  • Asymptotic Approximations
  • The Method of Matches Asymptotic Expansions and Its Generalizations
  • Wendepunkts and Canards (Turning Points and Delayed Bifurcations)
  • Two-timing, Geometric, and Multi-scale Methods
  • A Simple Multi-scale Procedure for Both Oscillatory and Boundary Layer Problems
  • References
  • Index.

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