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.
1990-01-01
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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