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- W1980611897 abstract "In this paper a known orthonormal system of time- and space-dependent functions, that were derived out of the Cauchy-Navier equation for elastodynamic phenomena, is used to construct reproducing kernel Hilbert spaces. After choosing one of the spaces the corresponding kernel is used to define a function system that serves as a basis for a spline space. We show that under certain conditions there exists a unique interpolating or approximating, respectively, spline in this space with respect to given samples of an unknown function. The name “spline” here refers to its property of minimising a norm among all interpolating functions. Moreover, a convergence theorem and an error estimate relative to the point grid density are derived. As numerical example we investigate the propagation of seismic waves." @default.
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- W1980611897 date "2008-02-20" @default.
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- W1980611897 title "Time-dependent Cauchy-Navier splines and their application to seismic wave front propagation" @default.
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- W1980611897 doi "https://doi.org/10.1002/zamm.200610362" @default.
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