Practical Extrapolation Methods by Avram Sidi

Excerpt PDF Excerpt Chapter 7: Convergence Study of. A good method is generally nonlinear in the A m and takes into account, either explicitly or implicitly, their asymptotic behavior as m → ∞ in a clever fashion. Vector Extrapolation Methods with Applications. Chapter 6: Convergence Study of Extrapolation Methods: Part I. (In the context of infinite sequences, extrapolation methods are also referred to as sequence transformations.) Loosely speaking, an extrapolation method takes a finite and hopefully small number of the A m and processes them in some way. In this work we propose an extrapolation method, which we call the mW(s). In some cases they correspond to analytic continuation in some parameter, for example.)Īn effective remedy for these problems is via application of extrapolation methods (or convergence acceleration methods) to the given sequences. Avram SIDI, Professor (Emeritus) Cited by 3,867 of Technion - Israel Institute of Technology. An important problem that arises in many scientific and engineering applications is that of finding or approximating limits of infinite sequences. A unified treatment of these and other extrapolation methods has been given in the survey paper of Smith, Ford, and Sidi 19, where some numerical testing for them is also provided. Practical extrapolation methods theory and applications Numerical analysis Cambridge University Press Skip to content To register on our site and for the best user experience, please enable Javascript in your browser using these instructions.

Practical Extrapolation Methods by Avram Sidi