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Waveform relaxation with overlapping splittings
(1991)SAM Research ReportIn this paper we present an extension of the wra for solving large systems of odes. The wra is well suited for parallel computation because it decomposes the solution space into several disjoint subspaces. Allowing the subspaces to overlap, i.e. dropping the assumption of disjointness, we obtain an extension of this algorithm. This new algorithm the so called msa is also well suited for parallel computation. As numerical examples demonstrate ...Report -
Influence of numerical diffusion in high temperature flow
(1991)SAM Research ReportIn high temperature flow it is necessary to introduce new physical phenomena to the governing equations. Chemical reactions and vibrational excitation of the molecules lead to inhomogeneous Euler equations with a source term and an additional equation of conservation of mass for each species. From the mathematical point of view we only get additional contact discontinuities for the different species. From the numerical perspective the ...Report -
Accurancy barriers of three time level difference schemes for hyperbolic equations
(1991)SAM Research ReportA basic assumption for the interior scheme when solving hyperbolic mixed initial boundary value problems is that it satisfies the von Neumann stability condition. Here we show that this condition limits the order of accuracy a scheme with a given difference stencil can have. The proofs use order stars.Report