Discrete Poisson equation: Difference between revisions

Among the methods are a generalized [[Thomas algorithm]] with a resulting computational complexity of <math> O(n^{2.5}) </math>, [[cyclic reduction]], [[successive overrelaxation]] that has a complexity of <math> O(n^{1.5}) </math>, and [[Fourier transform]]s which is <math> O(n log(n)) </math>. An optimal <math> O(n) </math> solution can also be computed using [[multigrid methods]].
[[File:Convergence of Iterative Numerical Methods for Poisson System with 16384 elements.pngsvg|thumb|Poisson convergence of various iterative methods with infinity norms of residuals against iteration count and computer time.]]
== Applications ==