Stability and Convergence in the Partial Differential Equation (PDE)/Stiff Ordinary Differential Equation (ODE) Interphase

摘要

The interplay between the analysis of numerical methods for evolutionary partial differential equations and developments in the stiff ordinary differential equation literature is shown. The notions of contractivity, one-sided Lipschitz conditions, logarithmic norms, B-convergence, and order reduction are stressed.