Implementing Spectral Methods for Partial Differential Equations Algorithms for Scientists and Engineers /

• Κύριος συγγραφέας: Kopriva, David A. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands, 2009.
• Σειρά: Scientific Computation,
• Θέματα: Mathematics.; Numerical analysis.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Physics.; Partial Differential Equations.; Analysis.; Applications of Mathematics.; Numerical and Computational Physics.; Numeric Computing.; Theoretical, Mathematical and Computational Physics.

This book offers a systematic and self-contained approach to solve partial differential equations numerically using single and multidomain spectral methods. It contains detailed algorithms in pseudocode for the application of spectral approximations to both one and two dimensional PDEs of mathematic...

Πίνακας περιεχομένων:

• Approximating Functions, Derivatives and Integrals
• Spectral Approximation
• Algorithms for Periodic Functions
• Algorithms for Non-Periodic Functions
• Approximating Solutions of PDEs
• Survey of Spectral Approximations
• Spectral Approximation on the Square
• Transformation Methods from Square to Non-Square Geometries
• Spectral Methods in Non-Square Geometries
• Spectral Element Methods
• Erratum
• Erratum.