Citations with the tag: ASYMPTOTIC expansions
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- LONG TIME ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF EXPLICIT DIFFERENCE SCHEME FOR SEMILINEAR PARABOLIC EQUATIONS.
Hui Feng; Long-jun Shen // Journal of Computational Mathematics; Sep2002, Vol. 20 Issue 5, p543
Presents a study that investigated the asymptotic behavior of discrete solutions in comparison to the case of continuous solutions. Numerical representation of the problem; Details on the solution of explicit difference scheme for the corresponding nonlinear elliptic equations; Results and...
- Asymptotic analysis of the flow deviation method for the maximum concurrent flow problem.
Bienstock, Daniel; Raskina, Olga // Mathematical Programming; 2002, Vol. 91 Issue 3, p479
We analyze the asymptotic behavior of the Flow Deviation Method, first presented in 1971 by Fratta, Gerla and Kleinrock, and show that when applied to packing linear programs such as the maximum concurrent flow problem, it yields a fully polynomial-time approximation scheme.
- Hydromagnetic stability of plane Poiseuille flow of an Oldroyd fluid.
Ray, R.N.; Samand, A.; Chaunhury, T.K. // Acta Mechanica; 2000, Vol. 143 Issue 3/4, p155
Examines the linear stability of plane Poiseuille flow of an Oldroyd fluid in the presence of transverse magnetic field. Use of the asymptotic expansion method; Assessment of the integration technique; Analysis of the neutral stability curves.
- Asymptotic representations of the dispersion relation for a two-ply, pre-stressed incompressible elastic laminate.
Rogerson, G.A.; Sandiford, K.J. // Acta Mechanica; 2000, Vol. 143 Issue 3/4, p179
Examines the dispersion relation associated with amplitude waves in a bonded elastic structure. Indication of asymptotic expansion; Domain of linear stability; Observation of the flexural and extensional problems.
- Exact long-time asymptotics for reversible binding in three dimensions.
Agmon, Noam; Gopich, Irina V. // Journal of Chemical Physics; 2/8/2000, Vol. 112 Issue 6
Using an iterative solution in Laplace-Fourier space, we obtain a rigorous mathematical proof for the long-time asymptotics of reversible trapping in three dimensions with distance-dependent reactivities obeying detailed balancing. � 2000 American Institute of Physics.
- On asymptotic strategy-proofness of the plurality and the run-off rules.
Slinko, Arkadii // Social Choice & Welfare; Apr2002, Vol. 19 Issue 2, p313
In this paper we prove that the plurality rule and the run-off procedure are asymptotically strategy-proof for any number of alternatives and that the proportion of profiles, at which a successful attempt to manipulate might take place, is in both cases bounded from above by
- Asymptotic nonstandard quantum electrodynamics.
Fittler, Robert // Journal of Mathematical Physics; May93, Vol. 34 Issue 5, p1692
Nonstandard quantum electrodynamics (Q.E.D.) is investigated from the point of view of an asymptotical development in time, using elementary but unorthodox integration methods, which also serve to define the renormalization constants. Agreement with classical Feynman-type Q.E.D. is found to be...
- Massive fields at null infinity.
Winicour, J. // Journal of Mathematical Physics; Sep88, Vol. 29 Issue 9, p2117
The question of whether massive fields are consistent with the asymptotics of massless fields at null infinity is addressed. As a first step, it is shown at the level of linearized theory that massive fields have O(1/R8) asymptotic behavior.
- A simple recurrence for the higher derivatives of the Hurwitz zeta function.
Elizalde, E. // Journal of Mathematical Physics; Jul93, Vol. 34 Issue 7, p3222
A recurrent formula which allows the calculation of the asymptotic series expansion of any derivative, ?(m)(z,a)=?m?(z,a)/?zm, of the Hurwitz zeta function ?(z,a) is obtained. In particular, the first terms of the series corresponding to ?�(-n,a) in inverse powers of a are explicitly given,...
- Some extensions of semiclassical limit h right arrow 0 for Wigner functions on phase space.
Arai, Takahiro // Journal of Mathematical Physics; Feb95, Vol. 36 Issue 2, p622
Investigates the limit of the semiclassical asymptotics of some Wigner functions. Semiclassical asymptotics of the unitary quantum propagator applied to the Wigner functions; Association of the functions to the initial quantum state belonging to Schwartz class; Preliminaries; Types of...
- Asymptotic behavior of line shifts in the 0-0 and 0-1 bands of HF in a bath of argon: Influence of vibration-rotation coupling.
Grigoriev, I. M.; Filippov, N. N.; Tonkov, M. V.; Boulet, C.; Boissoles, J. // Journal of Chemical Physics; 8/8/2000, Vol. 113 Issue 6, p2504
This study seeks to determine the origin of several features observed in the behavior at high j values of shift cross sections in the 0-0 and 0-1 bands of HF in a bath of argon. These features were not explained in earlier quantum mechanical calculations. A semi-classical (classical path)...
- Adjusting the bias of adaptive sampling estimators of spatial dispersion indexes by the d-method.
Di Battista, Tonio // Statistical Methods & Applications; 2002, Vol. 11 Issue 2, p153
Presents a study which considered a family of dispersion indexes obtained as functions of the first two population moments and achieved bias reduction and asymptotic normality for the corresponding estimators through adaptive sampling supplemented by s-method. Procedure to estimate spatial...
- Gauge symmetries of the master action in the Batalin-Vilkovisky formalism.
Grigoriev, M.A.; Semikhatov, A.M.; Tipunin, I. Yu. // Journal of Mathematical Physics; Apr99, Vol. 40 Issue 4, p1792
Studies the geometry of the Lagrangian Batalin-Vilkovsky theory on an asymptotic manifold. Provision of the partition function by a path integral of the exponential of the master action over a gauge-fixing surface; Realization of the gauge independence as the independence from the choice of the...
- Superheating field for the Ginzburg-Landau equations in the case of a large bounded interval.
Bolley, Catherine; Foucher, Franc�oise; Helffer, Bernard // Journal of Mathematical Physics; Nov2000, Vol. 41 Issue 11
We study the asymptotic behavior of the local superheating field for a film of width 2d in the regime ? small, ?d large, where ? is the Ginzburg-Landau parameter. This gives a mathematical justification for the introduction of the semi-infinite model as a good approximation for this regime. �...
- Towards an analytical formula for the eigenvalues of the Aharonov-Bohm annular billiard.
Fendrik, A. J.; S�nchez, M. J. // Journal of Mathematical Physics; Mar2001, Vol. 42 Issue 3, p996
We derive an asymptotic formula for the eigenvalues of the Aharonov-Bohm annular billiard (ABAB) that improves and corrects previous estimates. Employing semiclassical arguments we relate the limitations of the procedure to the topology of the classical phase space of the system.
- Asymptotic expansion of the quasiconfluent hypergeometric function.
Abad, J.; Sesma, J. // Journal of Mathematical Physics; Apr2003, Vol. 44 Issue 4, p1723
The asymptotic expansion of the hypergeometric function [sub 2]F[sub 1] (a, b;c;z/b) in the case of quasiconfluence, i.e., for b ? 8 is revised. A very simple expansion, in terms of a semiasymptotic sequence of polynomials, is presented. Some properties of those polynomials are discussed.
- On the uniform asymptotic expansion of the Legendre functions.
Khusnutdinov, Nail R. // Journal of Mathematical Physics; May2003, Vol. 44 Issue 5, p2320
A uniform expansion of the Legendre functions of large indices is considered by using the WKB approach. We obtain the recurrent formula for the coefficients of uniform expansion and compare them with the uniform expansion of the Bessel function. � 2003 American Institute of Physics.
- An Early Step Toward Asymptotic Freedom.
Adler, Stephen L. // Physics Today; Sep2005, Vol. 58 Issue 9, p15
Presents a letter to the editor about the discovery of asymptotic freedom.
- Blob formation.
Keller, Joseph B.; King, Andrew; Lu Ting // Physics of Fluids; Jan1995, Vol. 7 Issue 1, p226
Constructs asymptotic expansions of the shape of the blob and of the flow in it. Growing blob of liquid forms on the broken ends of the thread; Surface tension; Similar expansions found for the cylindrical blob at the edge of a broken film or sheet of liquid.
- Kolmogorov two-thirds law by matched asymptotic expansion.
Lundgren, Thomas S. // Physics of Fluids; Feb2002, Vol. 14 Issue 2, p638
The Kolmogorov two-thirds law is derived for large Reynolds number isotropic turbulence by the method of matched asymptotic expansions. Inner and outer variables are derived from the Karman�Howarth equation by using the von Karman self-preservation hypothesis. Matching the resulting large...
- Asymptotic analysis of a surface-interfacial wave interaction.
Jamali, Mirmosadegh; Seymour, Brian; Lawrence, Gregory A. // Physics of Fluids; Jan2003, Vol. 15 Issue 1, p47
The three-dimensional interaction of a surface wave with two oblique interfacial waves in a horizontally infinite two-layer fluid is analyzed asymptotically. The nondimensional density difference is taken as a perturbation parameter and simple expressions for the growth rates and kinematic...
- Thermophoresis of axially symmetric bodies.
Borg, Karl I.; So�derholm, Lars H. // AIP Conference Proceedings; 2001, Vol. 585 Issue 1, p867
Thermophoresis of axially symmetric bodies is investigated to first order in the Knudsen-number, Kn. The study is made in the limit where the typical length of the immersed body is small compared to the mean free path. It is shown that in this case, in contrast to what is the case for spherical...
- Asymptotic analysis of lower hybrid wave propagation in tokamaks.
Cardinali, A.; Romanelli, F. // Physics of Fluids (00319171); Mar86, Vol. 29 Issue 3, p810
An asymptotic analysis of the lower hybrid wave propagation in toroidal geometry is presented which relies on the difference in magnitude between the parallel and perpendicular wave vectors when the wave frequency is of the order of the ion plasma frequency. Using the method of matched...
- Asymptotic Distributions for Downtimes of Monotone Systems.
Gasemyr, J.; Aven, Terje // Journal of Applied Probability; Sep99, Vol. 36 Issue 3, p814
Presents information on a study which investigated the asymptotic properties of the distribution of the rth downtimes of the monotone system. Methodology of the study; Discussion of the results; Conclusion.
- DISTRIBUTION OF THE NUMBER OF WORDS WITH A PRESCRIBED FREQUENCY AND TESTS OF RANDOMNESS.
Rukhin, Andrew L. // Advances in Applied Probability; Dec2002, Vol. 34 Issue 4, p775
The goal of this paper is to investigate properties of statistical procedures based on numbers of different patterns by using generating functions for the probabilities of a prescribed number of occurrences of given patterns in a random text. The asymptotic formulae are derived for the expected...
- Universality classes for asymptotic behavior of relaxation processes in systems with dynamical...
Vlad, Marcel Ovidiu; Metzler, Ralf; Nonnenmacher, Theo F.; Mackey, Michael C. // Journal of Mathematical Physics; May96, Vol. 37 Issue 5, p2279
Studies the asymptotic behavior of multichannel parallel relaxation processes for systems with dynamical disorder. Characterization of an individual channel; Types of universal behavior of the relaxation function corresponding to nonintermittent and intermittent fluctuations; Sensitivity of the...
- Growth and Asymptotics of Perturbed Recurrent Semigroups.
Ouhabaz, El Maati // Semigroup Forum; 1997, Vol. 55 Issue 2, p160
Presents a study that examined the characteristics of recurrent semigroups in terms of some spectral properties. Theoretical background; Analysis of the asymptotics of recurrent semigroups; Numerical representations and proofs.
- The delta-dressing method and the solutions with constant asymptotic values at infinity of DS-II...
Dubrovsky, V.G. // Journal of Mathematical Physics; Dec97, Vol. 38 Issue 12, p6382
Studies several classes of exact solutions with constant asymptotic values at infinity of Davet-Stewartson-II equation constructed via delta-dressing method. Solutions with functional parameters, multi-line solutions and breathers and pure rotational solutions; Compatibility of the auxiliary...
- Caustics in asymptotic Green Function transmission models.
Roberts, R. A. // AIP Conference Proceedings; 2000, Vol. 509 Issue 1, p993
Green Function-based beam transmission models are attractive due to their ability to explicitly handle transmission through complicated geometrical surfaces, such as flat-to-circular arc compound profiles. The beam model considered in this paper integrates the field generated by a point source...
- pdf Asymptotic Behavior of Entire Functions with Positive Coefficients.
Lubinsky, D. S. // Constructive Approximation; Apr2000, Vol. 16 Issue 2, p313
- Asymptotic expansion of the solution of a second-order equation.
Ershov, A. // Mathematical Notes; Feb2009, Vol. 85 Issue 1/2, p123
A letter to the editor is presented which shows the asymptotic expansion of the solution of a second-order differential equation.
- Two-point cluster function for continuum percolation.
Torquato, S.; Beasley, J. D.; Chiew, Y. C. // Journal of Chemical Physics; 5/15/1988, Vol. 88 Issue 10, p6540
We introduce a two-point cluster function C2(r1,r2) which reflects information about clustering in general continuum�percolation models. Specifically, for any two-phase disordered medium, C2(r1,r2) gives the probability of finding both points r1 and r2 in the same cluster of one of the phases....
- Semiclassical Coulomb differential excitation function: Asymptotic expansions.
Thorsley, Michael D.; Chidichimo, Marita C. // Journal of Mathematical Physics; Aug2001, Vol. 42 Issue 8
We have obtained asymptotic expansions of the electric dipole (E1) differential excitation function for large values of the adiabaticity parameter ? and for all values of the eccentricity (&Vegr;) of the projectile orbit. To accomplish this, we have developed a new asymptotic power series of...
- ON THE BEHAVIOUR OF A LONG CASCADE OF LINEAR RESERVOIRS.
Glynn, John E.; Glynn, Peter W. // Journal of Applied Probability; Jun2000, Vol. 37 Issue 2, p417
Provides information on a study which described the limiting asymptotic behavior of a long cascade of linear reservoirs fed by stationary inflows into the first reservoir. Model formulation and basic properties; Central limit theorem for the stationary regime; Tail behavior of the stationary...
- A review of hydrodynamical models for semiconductors: asymptotic behavior.
Hailiang Li; Markowich, Peter // Boletim da Sociedade Brasileira de Matematica; Nov2001, Vol. 32 Issue 3, p321
Examines the asymptotic behavior of the hydrodynamical models for semiconductors. Assessment of the classical and entropy weak solutions; Description of the motion of particle; Evaluation of the ballistic transport.
- Resonant and antiresonant transport through a fluctuating cage.
Benichou, Olivier; Gaveau, Bernard // Journal of Chemical Physics; 7/22/1999, Vol. 111 Issue 4, p1385
Studies an idealized model of diffusion in a cage effect. Transmission through a cage with fluctuating boundary; Evolution of the obstacles on the cage; Equations for the exit probabilities; Transformation of the equation; Asymptotic solutions and resonance; Asymptotic values; Study of the...
- GROUP-THEORETIC RESULTS IN MIXED INTEGER PROGRAMMING.
Wolsey, Laurence A. // Operations Research; Nov/Dec71, Vol. 19 Issue 7, p1691
This paper shows how the asymptotic structure of the integer programming problem extends to the mixed integer problem. The group-theoretic ideas are then used to provide information about the solutions of the asymptotic mixed integer problem, and it is also shown how useful bounds can be...
- Exponential asymptotic expansions and approximations of the unstable and stable manifolds of...
Tovbis, Alexander; Tsuchiya, Masa; Jaffe, Charles // Chaos; Sep98, Vol. 8 Issue 3, p665
Examines exponential asymptotic expansions and approximations of the unstable and stable manifolds of singularly perturbed systems of the Henon map. Presentation of the perturbed system in the original and scaled variables; Consequences of the singular perturbation for the separatix solution of...
- Complex dynamics in a simple model of pulsations for super-asymptotic giant branch stars.
Munteanu, Andreea; Garci�a-Berro, Enrique; Jose�, Jordi; Petrisor, Emilia // Chaos; Jun2002, Vol. 12 Issue 2, p332
When intermediate mass stars reach their last stages of evolution they show pronounced oscillations. This phenomenon happens when these stars reach the so-called asymptotic giant branch (AGB), which is a region of the Hertzsprung- Russell diagram located at about the same region of effective...
- BOUNDEDNESS AND ASYMPTOTIC STABILITY OF MULTISTEP METHODS FOR GENERALIZED PANTOGRAPH EQUATIONS.
Cheng-jian Zhang; Geng Sun // Journal of Computational Mathematics; May2004, Vol. 22 Issue 3, p447
In this paper, we deal with the boundedness and the asymptotic stability of linear and one-leg multistep methods for generalized pantograph equations of neutral type, which arise from some fields of engineering. Some criteria of the boundedness and the asymptotic stability for the methods are...
- Condition for generation of radiation in rasers.
Seidov, Yu. M.; Shakhverdiev, �. M.; Abbasov, I. I. // Technical Physics; Oct97, Vol. 42 Issue 10, p1238
Discusses the condition for generation of radiation. Application of the method of asymptotic expansion of the solutions for the signularly perturbed nonlinear systems with respect to a smaller parameter; System of kinetic equations; Zeroth approximation.
- Waveguides coupled via apertures: asymptotic form of the eigenvalue.
Popov, I. Yu. // Technical Physics Letters; Feb99, Vol. 25 Issue 2, p106
An analysis is made of the problem of waveguides coupled via small apertures. A method of matching the asymptotic expansions of solutions is used to find the asymptotic form of the eigenvalue which tends to the lower limit of the continuous spectrum for a small parameter, i.e., the aperture...
- Distribution function of two cavities and Percus�Yevick direct correlation functions for a hard sphere fluid in D dimensions: Overlap volume function representation.
Rosenfeld, Yaakov // Journal of Chemical Physics; 10/15/87, Vol. 87 Issue 8, p4865
A one-parameter (��smeared diameter��) overlap volume function representation of the distribution function of two cavities and of the Percus�Yevick direct correlation functions, for a hard-sphere fluid in D dimensions, is analyzed and found to be very effective.
- Asymptotic analysis and finite element calculation of a rubber notch contacting with a rigid wedge.
Chen, S.H.; Gao, Y.C. // Acta Mechanica; 2001, Vol. 147 Issue 1-4, p111
Presents an asymptotic analysis and finite element calculation of a rubber. Derivation of the basic equations of the deformation field near the notch corner; Framework of finite strain elastostatics; Comparison between the expanding sector and shrinking sector.
- Anisotropic fluid spherically symmetric space-times admitting a kinematic self-similarity.
Benoit, Patricia M.; Coley, Alan A. // Journal of Mathematical Physics; May99, Vol. 40 Issue 5, p2458
Studies anisotropic fluid spherically symmetric space-times admitting a kinematic self-similar vector. Consideration of the geodesic case; Investigation of some special subcases in which the anisotropic fluid satisfies additional physical conditions; Emphasis on the possible asymptotic behavior...
- On the deconvolution of the temporal width of laser pulses from pump-probe signals.
Henriksen, Niels E.; Engel, Volker // Journal of Chemical Physics; 12/15/1999, Vol. 111 Issue 23, p10469
Reports on the deconvolution of the temporal width of laser pulses from pump-probe signals. Interaction between a molecule and two time-delayed pulses, a pump and probe pulse; Pump-probe signals integrated over pump frequencies; Analytical expression for the pump-probe signal in the case of...
- Asymptomatic infection with hepatitis C virus.
Seymour, Carol A. // BMJ: British Medical Journal (International Edition); 3/12/94, Vol. 308 Issue 6930, p670
Features the asymptomatic infection with hepatitis C virus in blood donors in Great Britain. History of infectious hepatitis; Identification of type A and B; Treatment protocols for the disease.
- Asymptotic Behavior of the Resonance for Two-Dimensional Waveguides Coupled via a Hole.
Popov, I. Yu.; Frolov, S. V. // Technical Physics Letters; Jan2000, Vol. 26 Issue 1, p8
The principal terms of the asymptotic expansion of a resonance (quasi-eigenfrequency) are derived for waveguides coupled via a small hole. The Dirichlet condition is assumed to be fulfilled at the boundary. The results are compared to estimates obtained earlier. The construction is performed by...
- Separable coordinates and particle creation. II: Two new vacua related to accelerating observers.
Costa, Isaias // Journal of Mathematical Physics; Apr89, Vol. 30 Issue 4, p888
An exactly solvable example of quantum field theory in a nonstationary system is presented, which has an inertial and a uniform accelerated asymptotic region. Two sets of solutions are constructed that are quasiclassical in each of these regions and they are compared. The Bogoliubov coefficients...
- Mellin transform methods applied to integral evaluation: Taylor series and asymptotic approximations.
Sasiela, Richard J.; Shelton, John D. // Journal of Mathematical Physics; Jun93, Vol. 34 Issue 6, p2572
Mellin transform methods have been used to obtain Taylor series or asymptotic approximations to definite integrals whose integrands consist of the product of two generalized hypergeometric functions. This approach has proved extremely useful in many applied physics problems including the...