Hybrid mesh selection algorithms based on conditioning for two-point boundary value problems

Journal of Numerical Analysis, Industrial and Applied Mathematics

Volumn 1, Issue 1, 2006, Pages 81-90

  Cash, Jeff R ^a   Mazziay, Francesca ^b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF BARI   (Italy)

Author keywords

Boundary value problems; Conditioning; Mesh selection

Indexed keywords

EID: 48349113977     PISSN: 17908140     EISSN: 17908159     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

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10. J.R. Cash. On the numerical integration of nonlinear two-point boundary value problems using iterated deferred corrections. II: The development and analysis of highly stable deferred correction formulae. SIAM J. Numer. Anal., 25(4):862-882, 1988.
11. J.R. Cash, F. Mazzia, N. Sumarti, and D. Trigiante. The role of conditioning in mesh selection algorithms for first order systems of linear two point boundary value problems. J. Comput. Appl. Math., 185(2):212-224, 2006.
12. Nicholas J. Higham. FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation. ACM Trans. Math. Software, 14(4):381-396 (1989), 1988.
13. Francesca Mazzia and Donato Trigiante. A hybrid mesh selection strategy based on conditioning for boundary value ODE problems. Numer. Algorithms, 36(2):169-187, 2004.