How to increase the order to get minimal-error algorithms for systems of ODE

Attaining exponential convergence for th

Attaining exponential convergence for the flux error with second- and fourth-order accurate finite-difference equations. I. Presentation of the basic concept and application to a pure diffusion system

✍ Manfred Rudolph 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 213 KB

## Abstract It is a well‐known phenomenon called superconvergence in the mathematical literature that the error level of an integral quantity can be much smaller than the magnitude of the local errors involved in the computation of this quantity. When discretizing an integrated form of Fick's secon