Abstract
Error bounds are obtained in the (Formula presented.) norm uniformly on bounded time intervals and, with an improved approximation order, in the parabolic energy norm. The proofs rely on discrete maximal parabolic regularity. This is used to obtain (Formula presented.) estimates, which are the key to the numerical analysis of these problems.
Original language | English |
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Pages (from-to) | 1-22 |
Number of pages | 22 |
Journal | Foundations of Computational Mathematics |
DOIs | |
Publication status | Accepted/In press - 10 Aug 2017 |
Keywords
- Error bounds
- Gradient flow
- Maximal parabolic regularity
- Nonlinear parabolic equation
- Runge–Kutta method
- Stability
ASJC Scopus subject areas
- Analysis
- Computational Theory and Mathematics
- Computational Mathematics
- Applied Mathematics