Summation by Parts, Projections, and Stability. II
Summation by Parts, Projections, and Stability. II
In this paper we prove strict stability of high-order finite difference approximations of parabolic and symmetric hyperbolic systems of partial differential equations on bounded, curvilinear domains in two space dimensions.The boundary need not be smooth.We also show how to derive strict stability estimates for inhomogeneous boundary conditions. Strict stability in …