One of the primary goals in seismology is to predict realistic ground motion during an earthquake. The problem of seismic wave propagation based on partial differential equations is the part of continuum physics that deals with the medium at large scales, and the desired precision of the solutions allows approximating the matter as a continuum. Discrete methods for the solution of a wave equation have a practical interest to earthquake engineering community dealing with seismic risk problems. This paper presents solutions based on a spectral method involving Chebyshev grids.
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Zaicenco, A., Alkaz, V. (2008). Numerical Solution Of An Elastic Wave Equation Using The Spectral Method. In: Zaicenco, A., Craifaleanu, I., Paskaleva, I. (eds) Harmonization of Seismic Hazard in Vrancea Zone. NATO Science for Peace and Security Series C: Environmental Security. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9242-8_19
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DOI: https://doi.org/10.1007/978-1-4020-9242-8_19
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