Summary
An attempt is made to construct a scheme of numerical integration for the wave operator that can detect which kind of non-homogeneous term has acted over the data and later use this knowledge to integrate the operator in time. Data is generated with a wave initially at rest, and a scheme is presented to detect these functions and study how these values can be extrapolated in time to be used. The use of known functions to generate data is required only to check the effectiveness of the numerical device.
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References
A. Albino de Souza,Self correcting error in numerical linear wave propagation, Pure and Appl. Geophys. (1973).
A. Albino de Souza,Deformed polynomials in objective analysis of meteorological fields, Pure and Appl. Geophys.
G. F. D. Duff andD. Naylor,Differential Equations of the Applied Mathematics (J. Wiley 1966).
C. E. Fröberg,Introduction to Numerical Analysis (Addison Wesley 1965).
L. S. Gandin,Objective Analysis of Meteorological Fields (Gidrometeorologicheskoe Izdaltel'stvo 1963).
G. J. Haltner,Numerical Weather Prediction (J. Wiley 1971).
J. J. Stoker,Water Waves (Interscience 1957).
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de Souza, A.A. Numerical self correction of non-homogeneous behaviour of data in linear wave propagation. PAGEOPH 112, 320–330 (1974). https://doi.org/10.1007/BF00876143
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DOI: https://doi.org/10.1007/BF00876143