Stability of difference schemes for initial value problems (in German)
Technical Report
·
OSTI ID:4936631
To establish stability of difference schemes for quasi-linear initial- value problems, criteria derived from the amplification matrix are widely used, but they have not yet been extended to implicit schemes or to those with unsteady coefficients or unsteady solutions of the initial-value problem involved. This paper attempts to do so in the case of one space and one time variable. Difference operators are regarded as large matrices with nonzero elements near the main diagonal only. Their spectral norms have to be approximated by means of inequalities for the eigenvalues of, in general, similar matrices. For tridiagonal matrices such inequalities are proven. The method includes generalized eigenvalues needed for implicit diffurence schemes. (auth)
- Research Organization:
- Max-Planck-Institut fuer Plasmaphysik, Garching/Muenchen (F.R. Germany)
- Sponsoring Organization:
- Sponsor not identified
- NSA Number:
- NSA-29-015091
- OSTI ID:
- 4936631
- Report Number(s):
- IPP--6-121
- Country of Publication:
- Germany
- Language:
- German
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