large b
(0.004 seconds)
11—20 of 94 matching pages
11: 28.34 Methods of Computation
12: 15.19 Methods of Computation
…
►Large values of or , for example, delay convergence of the Gauss series, and may also lead to severe cancellation.
…
►Initial values for moderate values of and can be obtained by the methods of §15.19(i), and for large values of , , or via the asymptotic expansions of §§15.12(ii) and 15.12(iii).
►For example, in the half-plane we can use (15.12.2) or (15.12.3) to compute and , where is a large positive integer, and then apply (15.5.18) in the backward direction.
…
13: 28.8 Asymptotic Expansions for Large
§28.8 Asymptotic Expansions for Large
… ►§28.8(ii) Sips’ Expansions
… ►§28.8(iii) Goldstein’s Expansions
… ►Barrett’s Expansions
… ►14: 2.3 Integrals of a Real Variable
…
►Alternatively, assume , is infinitely differentiable on , and each of the integrals , , converges as uniformly for all sufficiently large
.
…
►When is real and is a large positive parameter, the main contribution to the integral
…
►When the parameter is large the contributions from the real and imaginary parts of the integrand in
…
►
(d)
…
If , then and each of the integrals
2.3.22
,
converges at uniformly for all sufficiently large .
15: Bibliography S
…
►
Large orders and summability of eigenvalue perturbation theory: A mathematical overview.
Int. J. Quantum Chem. 21, pp. 3–25.
…
16: Bibliography P
…
►
Exactification of the method of steepest descents: The Bessel functions of large order and argument.
Proc. Roy. Soc. London Ser. A 460, pp. 2737–2759.
…
17: 2.8 Differential Equations with a Parameter
18: 13.29 Methods of Computation
19: 16.13 Appell Functions
20: Bibliography W
…
►
Hill’s equation with a large potential.
SIAM J. Appl. Math. 45 (2), pp. 200–214.
…