Superconvergence of iterated numerical solutions using wavelets

Superconvergence of the Iterated Degenerate Kernel Method

Numerical Issues When Using Wavelets

Notations For a real discrete-time filter whose impulse response is h[n], h̄[n] = h[−n], n ∈ Z is its timereversed version. The hat ˆ notation will be used for the Fourier transform of square-integrable signals. For a filter h, its z-transform is written H(z). The convolution product of two signals in l2(Z) will be written ∗. For the octave band wavelet representation, analysis (respectively, sy...

Superconvergence of the Iterated Galerkin Methods for Hammerstein Equations

In this paper, the well known iterated Galerkin method and iterated Galerkin-Kantorovich regularization method for approximating the solution of Fredholm integral equations of the second kind are generalized to Hammerstein equations with smooth and weakly singular kernels. The order of convergence of the Galerkin method and those of superconvergence of the iterated methods are analyzed. Numeric...

Superconvergence of the Iterated Collocation Methods for Hammerstein Equations

In this paper, we analyse the iterated collocation method for Hammerstein equations with smooth and weakly singular kernels. The paper expands the study which began in [14] concerning the superconvergence of the iterated Galerkin method for Hammerstein equations. We obtain in this paper a similar superconvergence result for the iterated collocation method for Hammerstein equations. We also disc...

numerical solution of damped forced oscillator problem using haar wavelets

we present here the numerical solution of damped forced oscillator problem using haar wavelet and compare the numerical results obtained with some well-known numerical methods such as runge-kutta fourth order classical and taylor series methods. numerical results show that the present haar wavelet method gives more accurate approximations than above said numerical methods.