A practical assessment of spectral accuracy for hyperbolic problems with discontinuities | Zendy

David A. Kopriva | Zendy

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A practical assessment of spectral accuracy for hyperbolic problems with discontinuities

Author(s) -

David A. Kopriva

Publication year - 1987

Publication title -

journal of scientific computing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.53

H-Index - 80

eISSN - 1573-7691

pISSN - 0885-7474

DOI - 10.1007/bf01061112

Subject(s) - mathematics , classification of discontinuities , discontinuity (linguistics) , collocation (remote sensing) , fourier transform , mathematical analysis , filter (signal processing) , spectral method , polynomial , space (punctuation) , order (exchange) , pseudo spectral method , fourier analysis , linguistics , philosophy , remote sensing , finance , computer science , economics , computer vision , geology

Numerical experiments are performed to compare the accuracy obtained when physical and transform space filters are used to smooth the oscillations in Fourier collocation approximations to discontinuous solutions of a linear wave equation. High-order accuracy can be obtained away from a discontinuity but the order is strongly filter dependent. Polynomial order accuracy is demonstrated when smooth high-order Fourier filters are used. Spectral accuracy is obtained with the physical space filter of Gottlieb and Tadmor.

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