recently, the block-pulse functions (bpfs) are used in solving electromagnetic scattering problem, which are modeled as linear fredholm integral equations (fies) of the second kind. but the theoretical aspect of this method has not fully investigated yet. in this article, in addition to presenting a new approach for solving fie of the second kind, the theory of both methods is investigated as a...

In this paper, a wavelet based method is proposed to identify the constant coefficients of a second order linear system and is compared with the least squares method. The proposed method shows improved accuracy of parameter estimation as compared to the least squares method. Additionally, it has the advantage of smaller data requirement and storage requirement as compared to the least squares m...

We present a reduced basis method for parametrized linear elliptic partial differential equations (PDEs) in least-squares finite element framework. A rigorous and reliable error estimate is developed, shown to bound the with respect exact solution of PDE, contrast estimates that measure finite-dimensional (high-fidelity) approximation. It first-order formulation key ingredient. The demonstrated...