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- W1506472753 abstract "Abstract We present a summary of recent developments in application of Bernstein polynomials to solution of elliptic boundary value problems with a pseudospectral method. Solution is approximated using Benstein polynomial interpolant defined at points of the extrema of Chebyshev polynomials i.e. the Chebyshev‐Gauss‐Lobatto (CGL) nodes. This approach brings impovement comparing to the Bernstein interpolation at equidistant nodes we used previously [1]. We show that this approach leads to spectral convergence and accuracy comparable to that of pseudospectral methods with orthogonal polynomials (Chebyshev, Legendre). The algorithm is implemented in open source library bernstein‐poly , which is available online. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
- W1506472753 created "2016-06-24" @default.
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- W1506472753 date "2013-11-29" @default.
- W1506472753 modified "2023-10-03" @default.
- W1506472753 title "Bernstein Polynomial Collocation Method for Elliptic Boundary Value Problems" @default.
- W1506472753 cites W2051478763 @default.
- W1506472753 doi "https://doi.org/10.1002/pamm.201310206" @default.
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