Linear discrete ill-posed problems of small to medium size are commonly solved by first computing the singular value decomposition of the matrix and then determining an approximate solution by one of several available numerical methods, such as the truncated singular value decomposition or Tikhonov regularization. The determination of an approximate solution is relatively inexpensive once the s...

in this paper, the numerical technique based on hybrid bernoulli and block-pulse functions has been developed to approximate the solution of system of linear volterra integral equations. system of volterra integral equations arose in many physical problems such as elastodynamic, quasi-static visco-elasticity and magneto-electro-elastic dynamic problems. these functions are formed by the hybridi...

The linear systems with separable matrices arising from the nite diierence discretization of constant-coeecient elliptic equations in rectangles are considered. A new direct method is proposed and analyzed for the approximate solution of general partial solution problems for such systems of grid equations. This method can be used also with quasiuniform discretization grids, whereas the earlier ...