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
Clasificación:Libro Electrónico
Autores principales: Lepik, Ülo (Autor), Hein, Helle (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Mathematical Engineering,
Temas:
Multibody systems.
Vibration.
Mechanics, Applied.
System theory.
Control theory.
Mathematical physics.
Integral equations.
Mathematics-Data processing.
Multibody Systems and Mechanical Vibrations.
Systems Theory, Control .
Mathematical Methods in Physics.
Integral Equations.
Computational Science and Engineering.
Acceso en línea:Texto Completo
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.

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