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EnglishThe paper expounds a wavelet-based technique. The techniques is applied to the dispersive wave equation by describing wave propagation by a composition of fundamental (harmonic) wavelets. The linear Klein–Gordon equation is analyzed and associated approximate wavelet solutions are considered for fixed resolution levels. Discretized wavelet families are computed explicitly using a basis of time harmonic wavelets. Some applications at various low resolution levels show that the technique proposed provides new opportunities for wave propagation analysis.
http://hdl.handle.net/11386/1067353| Titolo: | The Wavelet-based technique in dispersive wave propagation |
| Autori interni: | CATTANI, Carlo |
| Data di pubblicazione: | 2003 |
| Rivista: | INTERNATIONAL APPLIED MECHANICS |
| Abstract: | The paper expounds a wavelet-based technique. The techniques is applied to the dispersive wave equation by describing wave propagation by a composition of fundamental (harmonic) wavelets. The linear Klein–Gordon equation is analyzed and associated approximate wavelet solutions are considered for fixed resolution levels. Discretized wavelet families are computed explicitly using a basis of time harmonic wavelets. Some applications at various low resolution levels show that the technique proposed provides new opportunities for wave propagation analysis. |
| Handle: | http://hdl.handle.net/11386/1067353 |
| Appare nelle tipologie: | 1.1.2 Articolo su rivista con ISSN |
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