Implementing Spectral Methods for Partial Differential Equations: Algorithms for Scientists and Engineers

Description

This book offers a systematic and self-contained approach to solve partial differential equations numerically using single and multidomain spectral methods. It contains detailed algorithms in pseudocode for the application of spectral approximations to both one and two dimensional PDEs of mathematical physics describing potentials, transport, and wave propagation. David Kopriva, a well-known researcher in the field with extensive practical experience, shows how only a few fundamental algorithms form the building blocks of any spectral code, even for problems with complex geometries. The book addresses computational and applications scientists, as it emphasizes the practical derivation and implementation of spectral methods over abstract mathematics. It is divided into two parts: First comes a primer on spectral approximation and the basic algorithms, including FFT algorithms, Gauss quadrature algorithms, and how to approximate derivatives. The second part shows how to use those algorithms to solve steady and time dependent PDEs in one and two space dimensions. Exercises and questions at the end of each chapter encourage the reader to experiment with the algorithms.



Credits to original uploader

Disclaimer:
Contents of this page are indexed from this page for search purpose only. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Implementing Spectral Methods for Partial Differential Equations: Algorithms for Scientists and Engineers" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 2890
2. Mathematical Methods for Engineers and Scientists 3: Fourier Analysis, Partial Differential Equations and Variational Methods
3. Mathematical Methods for Engineers and Scientists 3: Fourier Analysis, Partial Differential Equations and Variational Methods
4. Nonlinear Partial Differential Equations for Scientists and Engineers
5. Linear Partial Differential Equations for Scientists and Engineers
6. Handbook of Linear Partial Differential Equations for Engineers and Scientists
7. Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations
8. [request_ebook] Nonlinear Partial Differential Equations for Scientists and Engineers
9. Partial Differential Equations VII: Spectral Theory of Differential Operators
10. Mathematical Methods for Engineers and Scientists 2: Vector Analysis, Ordinary Differential Equations and Laplace Transforms
11. Mathematical Methods for Engineers and Scientists 2: Vector Analysis, Ordinary Differential Equations and Laplace Transforms
12. Partial Differential Equations V: Asymptotic Methods for Partial Differential Equations
13. Partial Differential Equations III: The Cauchy Problem. Qualitative Theory of Partial Differential Equations
14. Andrei D. Polyanin, Handbook of Linear Partial Differential Equations for Engineers (Reupload)
15. Andrei D. Polyanin, ?Handbook of Linear Partial Differential Equations for Engineers? (Reupload)
16. Meshfree Methods for Partial Differential Equations II