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Spectral Methods Using Multivariate Polynomials On The Unit Ball
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Spectral Methods Using Multivariate Polynomials On The Unit Ball

Book Details

Format Hardback or Cased Book
ISBN-10 0367345471
ISBN-13 9780367345471
Publisher Taylor & Francis Ltd
Imprint Chapman & Hall/CRC
Country of Manufacture GB
Country of Publication GB
Publication Date Nov 8th, 2019
Print length 274 Pages
Weight 532 grams
Dimensions 16.30 x 24.00 x 2.10 cms
Product Classification: Numerical analysisMathematical physics
Ksh 30,600.00
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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.

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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