Implementing Spectral Methods for Partial Differential Equations

Part I. Approximating Functions, Derivatives and Integrals

1. Spectral Approximation
David A. Kopriva

2. Algorithms for Periodic Functions
David A. Kopriva

3. Algorithms for Non-Periodic Functions
David A. Kopriva

Part II. Approximating Solutions of PDEs

4. Survey of Spectral Approximations
David A. Kopriva

5. Spectral Approximation on the Square
David A. Kopriva

6. Transformation Methods from Square toNon-Square Geometries
David A. Kopriva

7. Spectral Methods in Non-Square Geometries
David A. Kopriva

8. Spectral Element Methods
David A. Kopriva

Keywords: Mathematics, Partial Differential Equations, Numerical and Computational Methods, Numeric Computing, Mathematical and Computational Physics, Computational Mathematics and Numerical Analysis