Some useful filtering techniques for illposed problems Academic Article uri icon

abstract

  • Some useful filtering techniques for computing approximate solutions of illposed problems are presented. Special attention is given to the role of smoothness of the filters and the choice of time-dependent parameters used in these filtering techniques. Smooth filters and proper choice of time-dependent parameters in these filtering techniques allow numerical construction of more accurate approximate solutions of illposed problems. In order to illustrate this and the filtering techniques, a severely illposed fourth-order nonlinear wave equation is numercally solved using a three time-level finite difference scheme. Numerical examples are given showing the merits of the filtering techniques. © 1998 Elsevier Science B.V. All rights reserved.

author list (cited authors)

  • Daripa, P.

citation count

  • 10

publication date

  • December 1998