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Estimating the error of numerical solutions of systems of reaction-diffusion equations


About this Title

Donald J. Estep, Mats G. Larson and Roy D. Williams

Publication: Memoirs of the American Mathematical Society
Publication Year 2000: Volume 146, Number 696
ISBNs: 978-0-8218-2072-8 (print); 978-1-4704-0287-7 (online)
DOI: http://dx.doi.org/10.1090/memo/0696
MathSciNet review: 1692630
MSC (1991): Primary 65M15; Secondary 35K57

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Table of Contents


Chapters

  • 1. Introduction
  • 2. A framework for a posteriori error estimation
  • 3. The size of the residual errors and stability factors
  • 4. Computational error estimation
  • 5. Preservation of invariant rectangles under discretization
  • 6. Details of the analysis in Chapter 2
  • 7. Details of the analysis in Chapter 3
  • 8. Details of the analysis in Chapter 5