#interactive

Mar 30, 2026EN

Newton–GMRES Interactive Lab

An interactive visual lab embedded in the Newton–GMRES article — explore solver traces from a 60-species stiff chemistry system and see why preconditioning collapses GMRES iteration counts from 172 to 4.

Problem

Solver internals are opaque from text alone. The interaction between nonlinear residual reduction and inner linear convergence — and the dramatic impact of preconditioning — is best understood by seeing real solver traces directly.

Outcome

An interactive lab embedded in the full article, giving readers a hands-on way to explore Newton outer iterations, GMRES convergence curves, and the sparsity structure that explains why banded preconditioning wins.