Haar Wavelets With Applications /

This is the first book to present a systematic review of applications of the Haar wavelet method for solving Calculus and Structural Mechanics problems. Haar wavelet-based solutions for a wide range of problems, such as various differential and integral equations, fractional equations, optimal contr...

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Detalles Bibliográficos
Autor principal: Lepik, Ãolo
Otros Autores: Hein, Helle
Formato: Libro electrónico
Lenguaje:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Colección:Mathematical Engineering,
Materias:
Acceso en línea:http://dx.doi.org/10.1007/978-3-319-04295-4
Aporte de:Registro referencial: Solicitar el recurso aquí
Tabla de Contenidos:
  • Preliminaries
  • Haar wavelets
  • Solution of ordinary differential equations (ODEs)
  • Stiff equations
  • Integral equations
  • Evolution equations
  • Solving PDEs with the aid of two-dimensional Haar wavelets
  • Fractional calculus
  • Applying Haar wavelets in the optimal control theory
  • Buckling of elastic beams
  • Vibrations of cracked Euler-Bernoulli beams
  • Free vibrations on non-uniform and axially functionally graded Euler-Bernoulli beams
  • Vibrations of functionally graded Timoshenko beams
  • Applying Haar wavelets in damage detection using machine learning methods.