Ten lectures on wavelets
Practical test-functions generated by computer algorithms
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
Haar wavelet-based technique for sharp jumps classification
Mathematical and Computer Modelling: An International Journal
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A nonlinear dynamical system which describes two interacting and competing populations (tumor and immune cells) is studied through the analysis of the wavelet coefficients. The wavelet coefficients (also called detail coefficients) are able to reproduce the behaviour of the function, and, being sensible to local changes, are strictly related to the differentiable properties of the function, which cannot be easily derived from the numerical interpolation. So the main features of the dynamical system will be given in terms of detail coefficients that are more adapted to the description of a nonlinear problem.