Partial differential equation (PDE) models of physical systems with initial and boundary conditions are often solved numerically via a computer code called the simulator. To study the dependence of ...

Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 271, No. 1346 (Jan. 22, 1963), pp. 324-331 (8 pages) ...

Two essential quantities for the analysis of approximation schemes of evolution equations are stability and convergence. We derive stability and convergence of fully discrete approximation schemes of ...