Book
Spectral Methods Using Multivariate Polynomials on the Unit Ball
Monographs and Research Notes in Mathematics, CRC Press, Taylor & Francis Group
11/27/2019
DOI: 10.1201/9780429344374
Abstract
Spectral Methods Using Multivariate Polynomials on the Unit Ball is a research level text on a numerical method for the solution of partial differential equations. The authors introduce, illustrate with examples, and analyze 'spectral methods' that are based on multivariate polynomial approximations. The method presented is an alternative to finite element and difference methods for regions that are diffeomorphic to the unit disk, in two dimensions, and the unit ball, in three dimensions. The speed of convergence of spectral methods is usually much higher than that of finite element or finite difference methods. Features Introduces the use of multivariate polynomials for the construction and analysis of spectral methods for linear and nonlinear boundary value problemsSuitable for researchers and students in numerical analysis of PDEs, along with anyone interested in applying this method to a particular physical problemOne of the few texts to address this area using multivariate orthogonal polynomials, rather than tensor products of univariate polynomials.
Details
- Title: Subtitle
- Spectral Methods Using Multivariate Polynomials on the Unit Ball
- Creators
- Kendall Atkinson - University of Iowa, Computer ScienceOlaf HansenDavid Chien
- Resource Type
- Book
- Series
- Monographs and Research Notes in Mathematics
- DOI
- 10.1201/9780429344374
- ISBN
- 9780367345471; 0367345471
- Publisher
- CRC Press, Taylor & Francis Group; Boca Raton, FL
- Number of pages
- xii, 261 pages
- Language
- English
- Date published
- 11/27/2019
- Academic Unit
- Computer Science; Mathematics
- Record Identifier
- 9984210638902771
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