... at r=15 with equations (4.1) and (4.2). There is no oscillation observed. Figure 2 is devoted for contour maps of the amplitude u, phase v and reference √u2+v2, respectively. In Figure 3 , the corresponding real and imaginary parts of the simulated function...

... with m=1 kg, k=100 N/m with initial conditions u(0)=1 m and v(0)=0 m/s and the forced vibration response of an undamped SDOF oscillator of unit mass and natural frequency 0.7 Hz, starting from rest, for an harmonic excitation f(t) = sin t. The wavelet basis...

...K.N. Zotsenko; R.V.N. Melnik In this paper, we give a complete description of efficient formulae for the numerical integration of fast oscillating functions of two variables. The focus is on the case encountered frequently in many engineering applications where an accurate value of the Lipschitz...