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A note on the stability of the upwind scheme for ordinary differential equations
Veröffentlicht/Copyright:
28. Juni 2012
Abstract
In this paper the stability of the upwind scheme for second order, linear ordinary differential equations with general boundary conditions of the third kind is proved. The proof is carried out via compactness arguments and is rather short. Moreover, no information on the behaviour of the solution of the differential equation itself is needed. This approach seems not to be present in the existing literature.
Published Online: 2012-06-28
Published in Print: 2012-06
© 2012 by sellier european law publishers, Munich/Germany
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Artikel in diesem Heft
- Masthead
- Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy
- Space-time finite element approximation of parabolic optimal control problems
- A note on the stability of the upwind scheme for ordinary differential equations
