Spectral Methods for Non-Standard Eigenvalue Problems Fluid and Structural Mechanics and Beyond /

• Main Author: Gheorghiu, Călin-Ioan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Differential equations.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Numerical analysis.; Physics.; Computational Mathematics and Numerical Analysis.; Numerical Analysis.; Ordinary Differential Equations.; Applications of Mathematics.; Computational Science and Engineering.; Numerical and Computational Physics.

This book focuses on the constructive and practical aspects of spectral methods. It rigorously examines the most important qualities as well as drawbacks of spectral methods in the context of numerical methods devoted to solve non-standard eigenvalue problems. In addition, the book also considers so...

Table of Contents:

• 1 General Formulation of Spectral Approximation
• 2 Tau and Galerkin Methods for Fourth Order GEPs
• 3 The Chebyshev Collocation Method
• 4 The Laguerre Collocation Method
• 5 Conclusions and Further Developments
• Appendix: Algebraic Two-Parameter Eigenvalue Problems
• Index.