Spectral Methods Fundamentals in Single Domains
Başlık
Spectral Methods Fundamentals in Single Domains

ISBNp
9783540307266

Standart Tanımlama
10.1007/978-3-540-30726-6

Dil
English

Yazar
Canuto, Claudio. author.

Yayın Bilgileri
Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.

Fiziksel Tanımlama
XXII, 581 p. 106 illus., 10 illus. in color. online resource.

Seri
Scientific Computation,

İçerik
Polynomial Approximation -- Basic Approaches to Constructing Spectral Methods -- Algebraic Systems and Solution Techniques -- Polynomial Approximation Theory -- Theory of Stability and Convergence -- Analysis of Model Boundary-Value Problems -- Erratum.

Özet
Since the publication of "Spectral Methods in Fluid Dynamics", spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and practical aspects of spectral methods that was the hallmark of the earlier book, Canuto et al. now incorporate the many improvements in the algorithms and the theory of spectral methods that have been made since 1988. The initial treatment Fundamentals in Single Domains discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in smooth, global basis functions. The first half of the book provides the algorithmic details of orthogonal expansions, transform methods, spectral discretization of differential equations plus their boundary conditions, and solution of the discretized equations by direct and iterative methods. The second half furnishes a comprehensive discussion of the mathematical theory of spectral methods on single domains, including approximation theory, stability and convergence, and illustrative applications of the theory to model boundary-value problems. Both the algorithmic and theoretical discussions cover spectral methods on tensor-product domains, triangles and tetrahedra. All chapters are enhanced with material on the Galerkin with numerical integration version of spectral methods. The discussion of direct and iterative solution methods is greatly expanded as are the set of numerical examples that illustrate the key properties of the various types of spectral approximations and the solution algorithms. A companion book "Evolution to Complex Geometries and Applications to Fluid Dynamics" contains an extensive survey of the essential algorithmic and theoretical aspects of spectral methods for complex geometries and provides detailed discussions of spectral algorithms for fluid dynamics in simple and complex geometries. .

Konu Başlığı
Physics.
 
Computer mathematics.
 
Continuum physics.
 
Fluids.
 
Fluid mechanics.
 
Classical Continuum Physics.
 
Numerical and Computational Physics.
 
Computational Mathematics and Numerical Analysis.
 
Mathematical Methods in Physics.
 
Engineering Fluid Dynamics.
 
Fluid- and Aerodynamics.

Ek Yazar
Hussaini, M. Youssuff.
 
Quarteroni, Alfio.
 
Zang, Thomas A.

Ek Kurum Yazarı
SpringerLink (Online service)

Elektronik Erişim
http://dx.doi.org/10.1007/978-3-540-30726-6


Materyal TürüDemirbaş NumarasıYer NumarasıRaf KonumuMevcut Konumu
E-Kitap1818769-1001QC6.4 .C6SPRINGER E-Kitap KoleksiyonuSpringer E-Kitap Koleksiyonu