A review of pseudospectral methods for solving partial differential equations Chapter uri icon

Overview

abstract

  • Finite Difference (FD) methods approximate derivatives of a function by local arguments (such as du(x) / dx ≈ (u(x + h) − u(xh))/2h, where h is a small grid spacing) – these methods are typically designed to be exact for polynomials of low orders. This approach is very reasonable: since the derivative is a local property of a function, it makes little sense (and is costly) to invoke many function values far away from the point of interest.

publication date

  • January 1, 1994

Full Author List

  • Fornberg B; Sloan DM

Other Profiles

Additional Document Info

start page

  • 203

end page

  • 267

volume

  • 3