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- W1536486332 abstract "With the example of the spherically symmetric scalar wave equation on Minkowski space-time we demonstrate that a fully pseudospectral scheme (i.e. spectral with respect to both spatial and time directions) can be applied for solving hyperbolic equations. The calculations are carried out within the framework of conformally compactified space-times. In our formulation, the equation becomes singular at null infinity and yields regular boundary conditions there. In this manner, it becomes possible to avoid artificial conditions at some numerical outer boundary at a finite distance. We obtain highly accurate numerical solutions possessing exponential spectral convergence, a feature known from solving elliptic PDEs with spectral methods. Our investigations are meant as a first step towards the goal of treating time evolution problems in General Relativity with spectral methods in space and time." @default.
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- W1536486332 date "2009-03-01" @default.
- W1536486332 modified "2023-10-18" @default.
- W1536486332 title "A FULLY PSEUDOSPECTRAL SCHEME FOR SOLVING SINGULAR HYPERBOLIC EQUATIONS ON CONFORMALLY COMPACTIFIED SPACE-TIMES" @default.
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- W1536486332 doi "https://doi.org/10.1142/s0219891609001769" @default.
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