Sylvester's criterion applied to Poisson's equation. A quantitative proof of Earnshaw's theorem

Eigenvalue analysis of a block Red-Black

Eigenvalue analysis of a block Red-Black Gauss–Seidel preconditioner applied to the Hermite collocation discretization of Poisson's equation

✍ Stephen H. Brill; George F. Pinder 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 423 KB

## Abstract This article is concerned with the numerical solution of Poisson's equation with Dirichlet boundary conditions, defined on the unit square, discretized by Hermite collocation with uniform mesh. In [1], it was demonstrated that the Bi‐CGSTAB method of van der Vorst [2] with block Red‐Bla