1. Chebyshev polynomials and spectral methods

   Preface Pages: 1 - 2

2. Laurent-Padé approximants to four kinds of Chebyshev polynomial expansions. Part I. Maehly type approximants

   • J. C. Mason
   • A. Crampton

   Section I: Chebyshev Polynomials Pages: 3 - 18

3. Laurent-Padé approximants to four kinds of Chebyshev polynomial expansions. Part II: Clenshaw-Lord type approximants

   • J. C. Mason
   • A. Crampton

   Section I: Chebyshev Polynomials Pages: 19 - 29

4. A Tau method with perturbed boundary conditions for certain ordinary differential equations

   • Mohamed K. El-Daou

   Section I: Chebyshev Polynomials Pages: 31 - 45

5. A fast Nyström-Broyden solver by Chebyshev compression

   • Alvise Sommariva

   Section I: Chebyshev Polynomials Pages: 47 - 60

6. The minimality properties of chebyshev polynomials and their lacunary series

   • J. C. Mason

   OriginalPaper Pages: 61 - 78

7. Adaptive bivariate Chebyshev approximation

   • Alvise Sommariva
   • Marco Vianello
   • Renato Zanovello

   OriginalPaper Pages: 79 - 94

8. Application of the pseudo-spectral method to 2D eigenvalue problems in elasticity

   • C. J. Talbot
   • A. Crampton

   Section II: Spectral Methods Pages: 95 - 110

9. Fundamental Stokes eigenmodes in the square: which expansion is more accurate, Chebyshev or Reid-Harris?

   • E. Leriche
   • G. Labrosse

   Section II: Spectral Methods Pages: 111 - 131

10. Numerical approximation of the spectra of Phan-Thien Tanner liquids

    • A. S. Palmer
    • T. N. Phillips

    Section II: Spectral Methods Pages: 133 - 153

11. Application of the least-squares spectral element method using Chebyshev polynomials to solve the incompressible Navier-Stokes equations

    • Michael M. J. Proot
    • Marc I. Gerritsma

    Section II: Spectral Methods Pages: 155 - 172

12. The use of Chebyshev Polynomials in the space-time least-squares spectral element method

    • Bart De Maerschalck
    • Marc I. Gerritsma

    Section II: Spectral Methods Pages: 173 - 196

13. Chebyshev solution of the nearly-singular one-dimensional Helmholtz equation and related singular perturbation equations: multiple scale series and the boundary layer rule-of-thumb

    • John P. Boyd

    Section II: Spectral Methods Pages: 197 - 207

14. Stochastic approaches to uncertainty quantification in CFD simulations

    • Lionel Mathelin
    • M. Yousuff Hussaini
    • Thomas A. Zang

    Section II: Spectral Methods Pages: 209 - 236