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Twenty combinatorial examples of asymptotics derived from multivariate generating functions [article]

Robin Pemantle, Mark C. Wilson
2007 arXiv   pre-print
For example, F may be a rational multivariate generating function. We discuss recent results that allow the effective computation of asymptotic expansions for the coefficients of F.  ...  These methods have the property that generating functions derived from them are amenable to our asymptotic analyses, and we describe further machinery that facilitates computations for these classes of  ...  Acknowledgment Many thanks to Manuel Lladser and Alex Raichev for a number of comments on preliminary drafts.  ... 
arXiv:math/0512548v2 fatcat:yabpsrh75rby7gz7litkkm6so4

Wavelet frames, Bergman spaces and Fourier transforms of Laguerre functions [article]

Luis Daniel Abreu
2007 arXiv   pre-print
., 113, 21-39 (1993)", concerning sampling sequences on weighted Bergman spaces, we find a sufficient density condition for constructing frames by translations and dilations of the Fourier transform of  ...  Building on the work of K. Seip, "Beurling type density theorems in the unit disc, Invent.  ...  For example, the general theory assures that all the zeros of g α n (z) lay within the unit disc. Remark 8.  ... 
arXiv:0704.1487v1 fatcat:6ekmfwfcdnf2lliyeaqc6eulnq

Twenty Combinatorial Examples of Asymptotics Derived from Multivariate Generating Functions

Robin Pemantle, Mark C. Wilson
2008 SIAM Review  
For example, F may be a rational multivariate generating function. We discuss recent results that allow the effective computation of asymptotic expansions for the coefficients of F .  ...  These methods have the property that generating functions derived from them are amenable to our asymptotic analyses, and we describe further machinery that facilitates computations for these classes of  ...  Many thanks to Manuel Lladser and Alex Raichev for a number of comments on preliminary drafts.  ... 
doi:10.1137/050643866 fatcat:xzp7nflc5ze3vaa2ryzbf5hi2u

Overall elastoplastic property for micropolar composites with randomly oriented ellipsoidal inclusions

Hansong Ma, Xiaoning Liu, Gengkai Hu
2006 Computational materials science  
This method is based on Eshelby solution for a general ellipsoidal inclusion in a micropolar media and secant moduli method.  ...  Overall linear and non-linear properties for micropolar composites containing 3D and in-plane randomly oriented inclusions are examined with an analytical micromechanical method.  ...  Acknowledgement This work is supported by the National Natural Science Foundation of China under Grant Nos. 10325210 and 10332020.  ... 
doi:10.1016/j.commatsci.2005.12.016 fatcat:rd6hirytxfcqba4uodkpmi3omm

Skip Entry Trajectory Planning and Guidance

Christopher W. Brunner, Ping Lu
2008 Journal of Guidance Control and Dynamics  
If the rate and acceleration Issues in Continuity of Miss Function The secant method requires that Eq.  ...  For this discussion, the constant bank angle method is reverted to. In an iteration of the secant method as shown inFig. 4.5, a bank angle of about 100 • is flown.  ...  %takes an input of mach number and outputs angle of attack, alpha in %radians alpha = trim_alpha_Apollo(Mach); %Compute CL and CD for the Apollo-like vehicle as functions of %Mach number and angle of attack  ... 
doi:10.2514/1.35055 fatcat:hjycmy5w6nge7livvyza6a6cmu

A PARALLEL-PROPAGATING ALFVÉNIC ION-BEAM INSTABILITY IN THE HIGH-BETA SOLAR WIND

Daniel Verscharen, Sofiane Bourouaine, Benjamin D. G. Chandran, Bennett A. Maruca
2013 Astrophysical Journal  
We derive an approximate analytic condition for the minimum value of $U_{\alpha}$ needed to excite this instability and refine this result using numerical solutions to the hot-plasma dispersion relation  ...  We discuss the role of the parallel Alfv\'enic drift instability for the evolution of the alpha-particle drift speed in the solar wind.  ...  We thank Justin Kasper for his assistance in analyzing the Wind Faraday cup data.  ... 
doi:10.1088/0004-637x/773/1/8 fatcat:z2zvc77ribc7ley5l5ewrcnzvm

Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs

D. Baldwin, Ü. Göktaş, W. Hereman, L. Hong, R.S. Martino, J.C. Miller
2004 Journal of symbolic computation  
New algorithms are given to find exact polynomial solutions of ODEs and PDEs in terms of Jacobi's elliptic functions.  ...  Algorithms are presented for the tanh-and sech-methods, which lead to closed-form solutions of nonlinear ordinary and partial differential equations (ODEs and PDEs).  ...  Using the software package We illustrate the use of the package PDESpecialSolutions.m on a PC. Users should have access to Mathematica v. 3.0 or higher.  ... 
doi:10.1016/j.jsc.2003.09.004 fatcat:rrsoixwwezantleiz4kafj5ovu

On Symbolic-Numeric Solving of Sine-Polynomial Equations

Aude Maignan
2000 Journal of Complexity  
Richardson (1991, in"effective Methods in Algebraic Geometry," pp. 427 440, Birkha user, Basel) has already studied this type of analytic function.  ...  We also construct a generalized exclusion method to find all the real roots in a bounded interval and we adapt it to the infinite case.  ...  This new numeric-symbolic method called generalized exclusion method localizes all the real roots of a large type of analytic functions in a bounded interval.  ... 
doi:10.1006/jcom.1999.0534 fatcat:wagcwhcy55g5nbsbctda7jbwxu

Approximate computations with modular curves [article]

Jean-Marc Couveignes, Bas Edixhoven
2012 arXiv   pre-print
This article gives an introduction for mathematicians interested in numerical computations in algebraic geometry and number theory to some recent progress in algorithmic number theory, emphasising the  ...  We explain the main ideas of how the approximations are done, illustrating them with examples, and we sketch some applications in number theory.  ...  We use the [PARI] system and declare a function for the secant method.  ... 
arXiv:1205.5896v1 fatcat:aw2p4jd6rbf4lfyybtlmldk4z4

Rotor Wake/Stator Interaction Noise-Predictions vs Data

1993 Journal of Aircraft  
The noise prediction method uses a two-dimensional semiempirical wake model and an analytical stator response function and noise calculation.  ...  Kobayashi,’ for the case of flow distortion into a fan, com- pared three different blade response functions and acoustic calculation methods.  ... 
doi:10.2514/3.56895 fatcat:mdbvmiwug5ee3g56cfxbqrq67u

New Methods to Predict Nonlinear Pitch Damping Moments

Frank G. Moore, Linda Y. Moore
2008 Journal of Spacecraft and Rockets  
The large zero as a function of the CG location.  ...  . 9 Comparison of theory and experiment for MK82 low drag bomb.  ... 
doi:10.2514/1.33745 fatcat:ih7xurkdcrax7ak6rdy7olfcpa

Numerical Solution of Optimal Control Problems with State Constraints by Sequential Quadratic Programming in Function Space

Fredric Bonnans, K. C. P. Machielsen
1993 Mathematics of Computation  
Citation for published version (APA): Machielsen, K. C. P. (1988). Numerical solution of optimal control problems with state constraints by sequential quadratic programming in function space.  ...  Most direct methods are of the gradient type, i.e. they are function space analogies of the well known gradient method for finite-dimensional nonlinear programming problems (cf.  ...  ( 6 .1. 1 . 15 ) 6115 For the numerical solution of ordinary boundary value problems two types of methods may be distinguished: 1) Shooting methods.  ... 
doi:10.2307/2153138 fatcat:byl5btly5zblni2bppyighs3c4

Stochastic quasi-Newton molecular simulations

C. D. Chau, G. J. A. Sevink, J. G. E. M. Fraaije
2010 Physical Review E  
We report a new and efficient factorized algorithm for the determination of the adaptive compound mobility matrix B in a stochastic quasi-Newton method ͑S-QN͒ that does not require additional potential  ...  , allowing for a further reduction of the computational effort to O͑n͒.  ...  ACKNOWLEDGMENTS We thank Simon de Leeuw for reading the paper prior to submission and his valuable suggestions. We thank an  ... 
doi:10.1103/physreve.82.026705 pmid:20866938 fatcat:t2xdom77jrg47onemgvyjixcl4

Non Invasive Investigation of Muscle Function Marseille (France), October 4–6, 2001

D Bendahan
2002 Magnetic Resonance Materials in Physics, Biology and Medicine  
The present work was carried out and kindly supported within the framework of University's of Gdań sk grant BW 5200-5-0211-1.  ...  These studies were supported by a grant from the Foundation for the Earth and Life Sciences (ALW) with financial aid from the Netherlands Foundation for Scientific Research (NWO).  ...  We use new analytic methods and experimental approaches combined with unique animal systems to evaluate the control of the key source of substrate for active muscle: carbohydrate metabolism.  ... 
doi:10.1016/s1352-8661(02)00065-0 fatcat:m5oehmju7ngf3c3tltkz52rsla

DDE-BIFTOOL Manual - Bifurcation analysis of delay differential equations [article]

Jan Sieber, Koen Engelborghs, Tatyana Luzyanina, Giovanni Samaey, Dirk Roose
2016 arXiv   pre-print
For periodic solutions, approximations to the Floquet multipliers are computed. The manual describes the structure of the package, its routines, and its data and method parameter structures.  ...  DDEBIFTOOL is a collection of Matlab routines for numerical bifurcation analysis of systems of delay differential equations with discrete constant and state-dependent delays.  ...  Similar formulas hold for the other solution types. • method: a point method structure containing the method parameters (see table 6 ). • adapt (optional): if zero or absent, do not use adaptive mesh  ... 
arXiv:1406.7144v4 fatcat:yot2vh453bbrrgkq3qsqmgjjlu
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