Spectral Methods Using Multivariate Polynomials on the Unit Ball.
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 appr...
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| Format: | eBook |
| Language: | English |
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Milton :
CRC Press LLC,
2019.
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| Series: | Chapman and Hall/CRC Monographs and Research Notes in Mathematics Ser.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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 problems Suitable for researchers and students in numerical analysis of PDEs, along with anyone interested in applying this method to a particular physical problem One of the few texts to address this area using multivariate orthogonal polynomials, rather than tensor products of univariate polynomials. |
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| Item Description: | Description based upon print version of record. 8.4 An existence theorem for the three-dimensional Stefan-Boltzmann problem |
| Physical Description: | 1 online resource (275 pages). |
| ISBN: | 9781000725865 1000725863 9781000725988 1000725987 9781000725926 1000725928 9780429344374 0429344376 |