Wavelets in the propagation of waves in materials with microstructure

2003 International Conference Physics and Control, PhysCon 2003 - Proceedings

Volumn 4, Issue , 2003, Pages 1084-1089

  Cattani, C ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Capacitive sensors; Differential equations; Dispersion; Harmonic analysis; Mathematics; Microstructure; Multiresolution analysis; Solids; Tensile stress; Wavelet analysis

Indexed keywords

CAPACITIVE SENSORS; DIFFERENTIAL EQUATIONS; DISPERSIONS; HARMONIC ANALYSIS; MATHEMATICAL TECHNIQUES; MICROSTRUCTURE; MULTIRESOLUTION ANALYSIS; SOLIDS; TENSILE STRESS; WAVE EQUATIONS; WAVE PROPAGATION; WAVELET ANALYSIS;

APPROXIMATE SOLUTION; DISPERSIVE WAVES; EVOLUTION DIFFERENTIAL EQUATIONS; KLEIN-GORDON EQUATION; MULTI-LEVEL PROCESS; MULTI-RESOLUTION APPROACH; PROPAGATION EQUATIONS; PROPAGATION OF WAVES;

DISPERSION (WAVES);

EID: 84945370797     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/PHYCON.2003.1237056     Document Type: Conference Paper

References (12)

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2. Cattani C., "Haar Wavelet based Technique for Sharp Jumps Classification", to appear on Mathematical Computer Modelling (2003).
3. Cattani C., "Wavelet Analysis of Dynamical Systems", Electronics and Communications 17, (2002), 115-124.
4. Cattani C., "Haar wavelets based technique in evolution problems", to appear on Proc. Estonian Acad. of Sciences, Phys. Math., (2004).
5. Cattani C., "The wavelets based technique in the dispersive wave propagation", to appear on International Applied Mechanics 39, (4), (2003).
6. Cattani C. and Rushchitsky J.J., "Solitary Elastic Waves and Elastic Wavelets", to appear on International Applied Mechanics, 39 (5), (2003).
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10. Murnaghan, F.D., Finite Deformation in an Elastic Solid. New York, John Wiley, (1951).
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12. Rushchitsky J.J., Tsurpal S.I., Waves in Materials with the Microstructure, (Ukrainian) Kyiv, Timoshenko Institute of Mechanics, (1997), 377 p.