| 1. |
Significant Interactions Between Small and Large Scale Surface Waves |
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Studies in Applied Mathematics,
Volume 55,
Issue 2,
1976,
Page 93-106
D. J. Benney,
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摘要:
Under certain conditions it is found that the interactions between short and long waves are especially important. The type of analysis presented has applications to many nonlinear dispersive wave systems, but the detailed discussion is restricted to gravity‐capillary wave interaction
ISSN:0022-2526
DOI:10.1002/sapm197655293
年代:1976
数据来源: WILEY
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| 2. |
A Theorem on the Convergence of Padé Approximants |
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Studies in Applied Mathematics,
Volume 55,
Issue 2,
1976,
Page 107-117
George A. Baker,
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摘要:
We prove a theorem which gives necessary and sufficient conditions on the distribution of poles and zeros of the Padé approximants for point‐by‐point convergence. The special case of convergence to a function meromorphic in a disk by a sequence of Padé approximants free of extraneous poles and zeros is p
ISSN:0022-2526
DOI:10.1002/sapm1976552107
年代:1976
数据来源: WILEY
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| 3. |
Weight Enumeration and the Geometry of Linear Codes |
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Studies in Applied Mathematics,
Volume 55,
Issue 2,
1976,
Page 119-128
Curtis Greene,
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摘要:
The problem of computing the weight distribution of a linear code is proved to be a special case of the problem of finding the Tutte polynomial (or generalized dichromatic polynomial) of a combinatorial geometry. Many other connections between the two fields are discussed.
ISSN:0022-2526
DOI:10.1002/sapm1976552119
年代:1976
数据来源: WILEY
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| 4. |
Asymptotic Solutions of the Field‐Noyes Model for the Belousov Reaction—I. Homogeneous Oscillations |
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Studies in Applied Mathematics,
Volume 55,
Issue 2,
1976,
Page 129-165
J. A. Stanshine,
L. N. Howard,
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摘要:
Multiple‐time‐scale techniques are used to solve the non‐linear autonomous system used by Field and Noyes to model the chemical oscillations of the Belousov reaction. An asymptotic representation, valid for a wide range of parameters, is found for a spatially homogeneous limit‐cycle solution. For certain values of the parameters, two limit‐cycle solutions are shown (asymptotically) to exist. For parameter values for which the limit cycle appears to be unique, it is shown to be linearly stable. The asymptotic solution is shown to correspond excellently to the numerical solution calculated by Field and Noyes for one set of p
ISSN:0022-2526
DOI:10.1002/sapm1976552129
年代:1976
数据来源: WILEY
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| 5. |
On The Navier‐Stokes Equations with Constant Total Temperature |
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Studies in Applied Mathematics,
Volume 55,
Issue 2,
1976,
Page 167-185
David Gottlieb,
Berti Gustafsson,
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摘要:
For various applications in fluid dynamics, one can assume that the total temperature is constant. Therefore, the energy equations can be replaced by an algebraic relation. The resulting set of equations in the inviscid case is analyzed in this paper. It is shown that the system is strictly hyperbolic and well posed for the initial‐value problem. Boundary conditions are described such that the linearized system is well posed. The hopscotch method is investigated and numerical results are presente
ISSN:0022-2526
DOI:10.1002/sapm1976552167
年代:1976
数据来源: WILEY
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