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Appendix: A Mathematical Aide-Mémoire

Published online by Cambridge University Press:  05 May 2016

Graham W. Griffiths
Affiliation:
City University London
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Summary

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Type
Chapter
Information
Numerical Analysis Using R
Solutions to ODEs and PDEs
, pp. 585 - 606
Publisher: Cambridge University Press
Print publication year: 2016

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References

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[Gan-77] Gantmancher, F. R. (1977), Matrix Theory, Vol. 1, Chelsea.
[Gol-96] Golab, G. H. and C. F. van, Loan (1996), Matrix Computations, The Johns Hopkins University Press.
[Gra-96] Gray, R. M. (1996), Toeplitz and Circulant Matrices:A Review, Now Publishers, available online at http://www-ee.stanford.edu/~gray/toeplitz.pdf.
[Had-02] Hadamard, J. (1902), Sur les problemes aux derivees partielles et leur signification physique. Princeton University Bulletin 13, 49–52.Google Scholar
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[Jen-92] Jennings, A. and J. J., McKeown (1992), Matrix Computation, John Wiley.
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[Mol-03] Mole, C. and C. van, Loan (2003), Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later, SIAM Review 45-1, available online at http://www.siam.org/journals/sirev/45-1/41801.html http://www.siam.org/journals/sirev/45-1/41801.html.Google Scholar
[Pre-92] Press, W. H., S. A., Teukolsky, W. T., Vetterling and B. P., Flannery (1992), Numerical Recipes in C, Cambridge University Press.
[Ric-67] Richtmyer, R. D. and K.W., Morton (1967), Difference Methods for Initial Value Problems, 2nd ed., JohnWiley.
[Shi-75] Shinners, S. M. (1975), Modern Control System Theory and Application, Addison-Wesley.
[Tee-05] Tee, G. J. (2005), Eigenvectors of Block Circulant and Alternating Circulant Matrices, Research Letters in the Information and Mathematical Sciences, 8, 123–142. http://mro.massey.ac.nz/handle/10179/4456.Google Scholar
[Tre-97] Trefethen, L. N. and D., Bau (1997), Numerical Linear Algebra, SIAM.

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