Haar Wavelets

• Preliminaries.- Haar wavelets.- Solution of ordinary differential equations (ODEs).- Stiff equations.- Integral equations.- Evolution equations.- Solving PDEs with the aid of two-dimensional Haar wavelets.- Fractional calculus.- Applying Haar wavelets in the optimal control theory.- Buckling of elastic beams.- Vibrations of cracked Euler-Bernoulli beams.- Free vibrations on non-uniform and axially functionally graded Euler-Bernoulli beams.- Vibrations of functionally graded Timoshenko beams.- Applying Haar wavelets in damage detection using machine learning methods.

From the reviews: "This textbook presents a comprehensive overview of different applications of the Haar wavelet method. ... This useful book is mainly written for students and researchers in applied mathematics, physics and engineering. The authors demonstrate the efficiency and accuracy of the Haar wavelet method by numerous examples." (Manfred Tasche, zbMATH, Vol. 1287, 2014)