for difference equations
(0.004 seconds)
11—20 of 101 matching pages
11: 18.22 Hahn Class: Recurrence Relations and Differences
12: Bibliography L
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Numerical Solution of Linear Difference Equations.
NBSIR
Technical Report 80-1976, National Bureau of Standards, Gaithersburg, MD 20899.
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Elementary solutions of certain Painlevé equations.
Differ. Uravn. 1 (3), pp. 731–735 (Russian).
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Theory of the fourth Painlevé equation.
Differ. Uravn. 3 (5), pp. 771–780 (Russian).
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Solutions of the fifth Painlevé equation.
Differ. Uravn. 4 (8), pp. 1413–1420 (Russian).
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The second Painlevé equation.
Differ. Uravn. 7 (6), pp. 1124–1125 (Russian).
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13: Bibliography S
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Liouville-Green-Olver approximations for complex difference equations.
J. Approx. Theory 96 (2), pp. 301–322.
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Liouville-Green approximations for a class of linear oscillatory difference equations of the second order.
J. Comput. Appl. Math. 41 (1-2), pp. 105–116.
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A Survey on the Liouville-Green (WKB) Approximation for Linear Difference Equations of the Second Order.
In Advances in Difference Equations (Veszprém, 1995), S. Elaydi, I. Győri, and G. Ladas (Eds.),
pp. 567–577.
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The relation between asymptotic properties of the second Painlevé equation in different directions towards infinity.
Differ. Uravn. 23 (5), pp. 834–842 (Russian).
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14: Bibliography F
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Finite Differences and Difference Equations in the Real Domain.
Clarendon Press, Oxford.
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15: 9.13 Generalized Airy Functions
16: Daniel W. Lozier
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►Army Engineer Research and Development Laboratory in Virginia on finite-difference solutions of differential equations associated with nuclear weapons effects.
Then he transferred to NIST (then known as the National Bureau of Standards), where he collaborated for several years with the Building and Fire Research Laboratory developing and applying finite-difference and spectral methods to differential equation models of fire growth.
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17: Bibliography V
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On the rational solutions of the second Painlevé equation.
Differ. Uravn. 1 (1), pp. 79–81 (Russian).
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18: 18.40 Methods of Computation
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►Usually, however, other methods are more efficient, especially the numerical solution of difference equations (§3.6) and the application of uniform asymptotic expansions (when available) for OP’s of large degree.
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19: Mathematical Introduction
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►These include, for example, multivalued functions of complex variables, for which new definitions of branch points and principal values are supplied (§§1.10(vi), 4.2(i)); the Dirac delta (or delta function), which is introduced in a more readily comprehensible way for mathematicians (§1.17); numerically satisfactory solutions of differential and difference equations (§§2.7(iv), 2.9(i)); and numerical analysis for complex variables (Chapter 3).
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