Lloyd N Trefethen

Spectral Methods in MATLAB

• Broschiertes Buch

Produktbeschreibung

This is the only book on spectral methods built around MATLAB programs. This hands-on introduction is built around 40 short and powerful MATLAB programs, which are all available online. This book presents the key ideas along with many figures, examples, and short, elegant MATLAB programs for readers to adapt to their own needs.

Produktdetails

• Verlag: Society for Industrial and Applied Mathematics (SIAM)
• Seitenzahl: 183
• Erscheinungstermin: 1. Juli 2000
• Englisch
• Abmessung: 258mm x 177mm x 12mm
• Gewicht: 333g
• ISBN-13: 9780898714654
• ISBN-10: 0898714656
• Artikelnr.: 23148954

Autorenporträt

Lloyd N. Trefethen is Professor of Numerical Analysis at Oxford University, UK. His previous book, Numerical Linear Algebra (with David Bau, III) is one of SIAM's bestsellers.

Inhaltsangabe

Preface
Acknowledgments
A Note on the MATLAB Programs
Chapter 1: Differentiation Matrices
Chapter 2: Unbounded Grids: The Semidiscrete Fourier Transform
Chapter 3: Periodic Grids: The DFT and FFT
Chapter 4: Smoothness and Spectral Accuracy
Chapter 5: Polynomial Interpolation and Clustered Grids
Chapter 6: Chebyshev Differentiation Matrices
Chapter 7: Boundary Value Problems
Chapter 8: Chebyshev Series and the FFT
Chapter 9: Eigenvalues and Pseudospectra
Chapter 10: Time-Stepping and Stability Regions
Chapter 11: Polar Coordinates
Chapter 12: Integrals and Quadrature Formulas
Chapter 13: More About Boundary Conditions
Chapter 14: Fourth-Order Problems
Afterword
Bibliography
Index