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Spectral methods in MATLAB /

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This is the only book on spectral methods built around MATLAB programs. Along with finite differences and finite elements, spectral methods are one of the three main technologies for solving partial differential equations on computers. Since spectral methods involve significant linear algebra and gr...

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Bibliographic Details
Main Author: Trefethen, Lloyd N. (Lloyd Nicholas) (Author)
Format: Book
Language:English
Language Notes:English.
Published: Philadelphia, PA : Society for Industrial and Applied Mathematics, [2000]
Series:Software, environments, tools.
Subjects:
MATLAB.
MATLAB (Logiciel)
Differential equations, Partial > Numerical solutions > Data processing.
Spectral theory (Mathematics)
Équations aux dérivées partielles > Solutions numériques > Informatique.
Spectre (Mathématiques)
31.52 differential geometry.
Spectraaltheorie.
Differentiaalvergelijkingen.
Numerieke methoden.
Análise numérica.
Algoritmos.
PARTIAL DIFFERENTIAL EQUATIONS.
DATA PROCESSING.
SPECTRAL THEORY.
Spectral theory (Mathematics) > Data processing.
Online Access:Table of contents
Table of contents
Publisher description
SIAM e-books
Table of Contents:
  • Differentiation Matrices
  • Unbounded Grids: The Semidiscrete Fourier Transform
  • Periodic Grids: The DFT and FFT
  • Smoothness and Spectral Accuracy
  • Polynomial Interpolation and Clustered Grids
  • Chebyshev Differentiation Matrices
  • Boundary Value Problems
  • Chebyshev Series and the FFT
  • Eigenvalues and Pseudospectra
  • Time-Stepping and Stability Regions
  • Polar Coordinates
  • Integrals and Quadrature Formulas
  • More about Boundary Conditions
  • Fourth-Order Problems.