Legendre and Chebyshev collocation schemes are proposed for the numerical approximation of first order linear hyperbolic equations, by a domain decomposition procedure. Spectral convergence estimates are provided both for Legendre and Chebyshev Gauss-Lobatto nodes. © 1989 Oxford University Press.
Convergence analysis for pseudospectral multidomain approximations of linear advection equations / Funaro, D.. - In: IMA JOURNAL OF NUMERICAL ANALYSIS. - ISSN 0272-4979. - 10:1(1990), pp. 63-75. [10.1093/imanum/10.1.63]
Convergence analysis for pseudospectral multidomain approximations of linear advection equations
Funaro D.
1990
Abstract
Legendre and Chebyshev collocation schemes are proposed for the numerical approximation of first order linear hyperbolic equations, by a domain decomposition procedure. Spectral convergence estimates are provided both for Legendre and Chebyshev Gauss-Lobatto nodes. © 1989 Oxford University Press.
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