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Book Review
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Book Information
Author(s):
V. Lakshmikantham and Donato Trigiante
Title:
Theory of difference equations -- numerical methods and applications, 2nd ed.
Additional book information:
Marcel Dekker, Inc.,
New York,
2002,
x+300,
$150.00,
0-8247-0803-2
References:
- 1.
- C. Ahlbrandt and A. Peterson, Discrete Hamiltonian Systems, Kluwer, Dordrecht, 1996. MR 98m:39043
- 2.
- C. Brezinski, History of Continued Fractions and Padé Approximants, Springer-Verlag, New York, 1991. MR 92c:01002
- 3.
- B. Carlson, Algorithms involving arithmetic and geometric means, AMS Monthly 78(1971), 496-505. MR 44:479
- 4.
- G. Dahlquist, Convergence and stability in the numerical integration of ordinary differential equations, Math. Scandinavica 4(1956), 33-50. MR 18:338d
- 5.
- G. Dahlquist, 33 years of numerical instability, part 1, BIT 25(1985), 188-204. MR 86h:65006
- 6.
- W. Gautschi, Zur Numerik rekurrenter Relationen, Computing 9(1972), 107-126. MR 47:1270
- 7.
- J. Gleick, Chaos: Making a New Science, Penguin Books, New York, 1987. MR 91d:58152
- 8.
- H. Goldstine, A History of Numerical Analysis from the 16th through the 19th Century, Springer-Verlag, New York, 1977. MR 58:4774
- 9.
- P. Hartman, Difference equations: disconjugacy, principal solutions, Green's functions, complete montonicity, Trans. AMS 246(1978), 1-30. MR 80a:39004
- 10.
- J. Wimp, Computation with Recurrence Relations, Pitman, Boston, 1984. MR 85f:65001
Additional Information:
Reviewer(s):
Walter
Kelley
Affiliation:
University of Oklahoma
Email:
wkelley@ou.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
40
(2003),
259-262.
MSC
(2000):
Primary 39A10
DOI:
10.1090/S0273-0979-03-00980-7
PII:
S 0273-0979(03)00980-7
Posted:
February 12, 2003
Copyright of article:
Copyright
2003,
American Mathematical Society
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