Bulletin of the American Mathematical Society

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Book Information:

Authors: 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 pp., ISBN 0-8247-0803-2, $150.00$

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

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