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Spectral Methods Using Multivariate Polynomials on the Unit Ball (Hardcover)
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Spectral Methods Using Multivariate Polynomials on the Unit Ball (Hardcover)
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Expected to ship within 12 - 17 working days
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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. 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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