Stability inequalities for discrete nonlinear two-point boundary value problems
- 1 January 1980
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 10 (2) , 137-162
- https://doi.org/10.1080/00036818008839296
Abstract
For discretizations of nonlinear two-point boundary value problems we prove estimates of the difference quotients up to order n-1 in the discrete L∞-norm by the discrete L1 -norm of the discretization. In the hierarchy of LÞ -norms these estimates are best possible. For the linear case deep results P of Grigorieff and Kreiss are generalized.Keywords
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