Relevant bibliographies by topics / Asymptotic Analysis

Academic literature on the topic 'Asymptotic Analysis'

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Published: 4 June 2021
Last updated: 31 August 2024

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Journal articles on the topic "Asymptotic Analysis"

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Delcroix, A., and D. scarpalezos. "Asymptotic scales-asymptotic algebras." Integral Transforms and Special Functions 6, no. 1-4 (March 1998): 181–90. http://dx.doi.org/10.1080/10652469808819162.

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Cai, Chun-Hao, Jun-Qi Hu, and Ying-Li Wang. "Asymptotics of Karhunen–Loève Eigenvalues for Sub-Fractional Brownian Motion and Its Application." Fractal and Fractional 5, no. 4 (November 17, 2021): 226. http://dx.doi.org/10.3390/fractalfract5040226.

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In the present paper, the Karhunen–Loève eigenvalues for a sub-fractional Brownian motion are considered. Rigorous large n asymptotics for those eigenvalues are shown, based on the functional analysis method. By virtue of these asymptotics, along with some standard large deviations results, asymptotical estimates for the small L2-ball probabilities for a sub-fractional Brownian motion are derived. Asymptotic analysis on the Karhunen–Loève eigenvalues for the corresponding “derivative” process is also established.
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Bunoiu, Renata, Giuseppe Cardone, and Sergey A. Nazarov. "Scalar problems in junctions of rods and a plate." ESAIM: Mathematical Modelling and Numerical Analysis 52, no. 2 (March 2018): 481–508. http://dx.doi.org/10.1051/m2an/2017047.

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In this work we deal with a scalar spectral mixed boundary value problem in a spacial junction of thin rods and a plate. Constructing asymptotics of the eigenvalues, we employ two equipollent asymptotic models posed on the skeleton of the junction, that is, a hybrid domain. We, first, use the technique of self-adjoint extensions and, second, we impose algebraic conditions at the junction points in order to compile a problem in a function space with detached asymptotics. The latter problem is involved into a symmetric generalized Green formula and, therefore, admits the variational formulation. In comparison with a primordial asymptotic procedure, these two models provide much better proximity of the spectra of the problems in the spacial junction and in its skeleton. However, they exhibit the negative spectrum of finite multiplicity and for these “parasitic” eigenvalues we derive asymptotic formulas to demonstrate that they do not belong to the service area of the developed asymptotic models.
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Yi, Taishan, Yuming Chen, and Jianhong Wu. "Asymptotic propagations of asymptotical monostable type equations with shifting habitats." Journal of Differential Equations 269, no. 7 (September 2020): 5900–5930. http://dx.doi.org/10.1016/j.jde.2020.04.025.

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Chicone, Carmen, and Weishi Liu. "Asymptotic phase revisited." Journal of Differential Equations 204, no. 1 (September 2004): 227–46. http://dx.doi.org/10.1016/j.jde.2004.03.011.

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Artstein-Avidan, Shiri, Hermann König, and Alexander Koldobsky. "Asymptotic Geometric Analysis." Oberwolfach Reports 13, no. 1 (2016): 507–65. http://dx.doi.org/10.4171/owr/2016/11.

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Wu, Xiao-Bo, Yu Lin, Shuai-Xia Xu, and Yu-Qiu Zhao. "Uniform asymptotics for discrete orthogonal polynomials on infinite nodes with an accumulation point." Analysis and Applications 14, no. 05 (July 27, 2016): 705–37. http://dx.doi.org/10.1142/s0219530515500177.

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In this paper, we develop the Riemann–Hilbert method to study the asymptotics of discrete orthogonal polynomials on infinite nodes with an accumulation point. To illustrate our method, we consider the Tricomi–Carlitz polynomials [Formula: see text] where [Formula: see text] is a positive parameter. Uniform Plancherel–Rotach type asymptotic formulas are obtained in the entire complex plane including a neighborhood of the origin, and our results agree with the ones obtained earlier in [W. M. Y. Goh and J. Wimp, On the asymptotics of the Tricomi–Carlitz polynomials and their zero distribution. I, SIAM J. Math. Anal. 25 (1994) 420–428] and in [K. F. Lee and R. Wong, Uniform asymptotic expansions of the Tricomi–Carlitz polynomials, Proc. Amer. Math. Soc. 138 (2010) 2513–2519].
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Lee, K., C. A. Morales, and H. Villavicencio. "Asymptotic expansivity." Journal of Mathematical Analysis and Applications 507, no. 1 (March 2022): 125729. http://dx.doi.org/10.1016/j.jmaa.2021.125729.

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Nemes, Gergő. "The resurgence properties of the large-order asymptotics of the Hankel and Bessel functions." Analysis and Applications 12, no. 04 (June 17, 2014): 403–62. http://dx.doi.org/10.1142/s021953051450033x.

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The aim of this paper is to derive new representations for the Hankel and Bessel functions, exploiting the reformulation of the method of steepest descents by Berry and Howls [Hyperasymptotics for integrals with saddles, Proc. R. Soc. Lond. A 434 (1991) 657–675]. Using these representations, we obtain a number of properties of the large-order asymptotic expansions of the Hankel and Bessel functions due to Debye, including explicit and numerically computable error bounds, asymptotics for the late coefficients, exponentially improved asymptotic expansions, and the smooth transition of the Stokes discontinuities.
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Storozhuk, K. V. "Asymptotic Rank Theorems." Algebra and Logic 58, no. 4 (September 2019): 337–44. http://dx.doi.org/10.1007/s10469-019-09555-x.

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Dissertations / Theses on the topic "Asymptotic Analysis"

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Churchman, Christopher M. "Asymptotic analysis of complete contacts." Thesis, University of Oxford, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.441071.

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Lladser, Manuel Eugenio. "Asymptotic enumeration via singularity analysis." Connect to this title online, 2003. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1060976912.

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Thesis (Ph. D.)--Ohio State University, 2003.
Title from first page of PDF file. Document formatted into pages; contains x, 227 p.; also includes graphics Includes bibliographical references (p. 224-227). Available online via OhioLINK's ETD Center
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PEREIRA, LUIS CLAUDIO PALMA. "ASYMPTOTIC ANALYSIS OF SHAPED REFLECTOR ANTENNAS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 1988. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=8374@1.

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CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO
Este trabalho apresenta uma nova técnica para aproximação de uma superfície refletora definida numericamente, i.e., por pontos fornecidos pelo processo de síntese da antena. As limitações inerentes às técnicas usuais são aqui eliminadas pela utilização de Pseudo-Splines Quínticas que interpolam uma distribuição arbitrária de pontos por uma superfície suave, com derivadas primeiras e segundas contínuas, assegurando uma representação única para o domínio de interesse. O procedimento é, então, aplicado ao subrefletor modelado de uma antena Cassegrain, com subseqüente cálculo do campo eletromagnético espalhado, permitindo uma análise detalhada de sua aplicabilidade. Uma teoria assintótica uniforme de difração é, também, aqui desenvolvida de modo a acomodar o espalhamento de feixes Gaussianos, descritivos, em freqüências altas, do diagrama de irradiação de alimentadores comumente empregados em sistemas refletores, por superfícies condutoras, através do rastreamento do campo eletromagnético ao longo de raios no espaço complexo. A análise do problema canônico (difração por semi-plano) estabelece as particularidades do método e a comparação com a solução rigorosa existente comprova sua acurácia, permitindo a extensão a problemas tridimensionais vetorais. A teoria Complexa da Difração, assim formulada, é, então aplicada ao cálculo do campo espalhado por diferentes geometrias de antenas refletoras, ilustrando a versatilidade do método bem como suas limitações.
In order to evaluate the electromagnetic field scattered by shaped reflector antennas, one has to fit a surface to a set of points furnished by a synthesis technique. A new method, capable of interpolating arbitrarily located data points by a smooth surface is here presented. The interpolating function, called Quintic Pseudo-Spline, has continuous first and seconde order derivatives and yields a unique representation for the entire domain. The method is tested on the shaped subreflector of a Cassegrain antenna providing a thorough investigation of its applicability. Also, an uniform asymptotic theory of diffraction is derived in order to analyse the scattering of Gaussin beams, descriptive of the high-frequency radiation pattern of feed horns commonly employed in reflector systems, by conducting surfaces with edges. The constraints inherent to usual methods of analysis are hereby avoided by tracking these beam-type fields along straight rays in a complex coordinate space. Investigation of the canonical problem of scattering of a Gaussian beam by a conducting half-plane establishes the characteristics of the complex ray diffraction process. Comparison of the results thus obtained with the rigorous solution reveals the accuracy of the proposed theory and permits its extension to the three-dimensional vector problem. The resulting Complex Theory of Diffraction is then applied to the evaluation of the scattered field for several reflector antenna geometries, illustrating the versatility of the method as well as its limitation.
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Chu, Kevin Taylor. "Asymptotic analysis of extreme electrochemical transport." Thesis, Massachusetts Institute of Technology, 2005. http://hdl.handle.net/1721.1/33669.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005.
Includes bibliographical references (p. 237-244).
In the study of electrochemical transport processes, experimental exploration currently outpaces theoretical understanding of new phenomena. Classical electrochemical transport theory is not equipped to explain the behavior of electrochemical systems in the extreme operating conditions required by modern devices. In this thesis, we extend the classical theory to examine the response of two electrochemical systems that form the basis for novel electrochemical devices. We first examine the DC response of an electrochemical thin film, such as the separator in a micro-battery, driven by current applied through reactive electrodes. The model system consists of a binary electrolyte between parallel-plate electrodes, each possessing a compact Stern layer which mediates Faradaic reactions with Butler-Volmer kinetics. Our analysis differs from previous studies in two significant ways. First, we impose the full nonlinear, reactive boundary conditions appropriate for electrolytic/galvanic cells.
(cont.) Since surface effects become important for physically small systems, the use of reactive boundary conditions is critical in order to gain insight into the behavior of actual electrochemical thin films that are sandwiched between reactive electrodes, especially at high current densities. For instance, our analysis shows that reaction rate constants and the Stern-layer capacitance have a strong influence on the response of the thin film. Second, we analyze the system at high current densities (far beyond the classical diffusion-limited current) which may be important for high power-density applications. At high currents, we obtain previously unknown characterizations of two interesting features at the cathode end of the cell: (i) a nested boundary layer structure and (ii) an extended space charge region. Next, we study the response of a metal (i.e., polarizable) colloid sphere in an electrolyte solution over a range of applied electric fields.
(cont.) This problem, which underlies novel electrokinetically driven microfluidic devices, has traditionally been analyzed using circuit models which neglect bulk concentration variations that arise due to double layer charging. Our analysis, in contrast, is based on the Nernst-Planck equations which explicitly allow for bulk concentration gradients. A key feature of our analysis is the use of surface conservation laws to provide effective boundary conditions that couple the double layer charging dynamics, surface transport processes, and bulk transport processes. The formulation and derivation of these surface conservation laws via boundary layer analysis is one of the main contributions of this thesis. For steady applied fields, our analysis shows that bulk concentrations gradients become significant at high applied fields and affect both bulk and double layer transport processes. We also find that surface transport becomes important for strong applied fields as a result of enhanced absorption of ions by the double layer.
(cont.) Unlike existing theoretical studies which focus on weak applied fields (so that both of these effects remain weak), we explore the response of the system to strong applied fields where both bulk concentration gradients and surface transport contribute at leading order. For the unsteady problem at applied fields that are not too strong, we find that diffusion processes, which are necessary for the system to relax to steady-state, are suppressed at leading-order but appear as higher-order corrections. This result is derived in a novel way using time-dependent matched asymptotic analysis. Unfortunately, the dynamic response of the system to large applied fields seems to introduce several complications that make the analysis (both mathematical and numerical) quite challenging; the resolution of these challenges is left for future work. Both of these problems require the use of novel techniques of asymptotic analysis (e.g., multiple parameter asymptotic expansions, surface conservation laws, and time-dependent asymptotic matching) and advanced numerical methods (e.g., pseudospectral methods, Newton-Kantorovich method, and direct matrix calculation of Jacobians) which may be applicable elsewhere.
by Kevin Taylor Chu.
Ph.D.
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Maling, Ben. "Asymptotic analysis of array-guided waves." Thesis, Imperial College London, 2016. http://hdl.handle.net/10044/1/44725.

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We develop and apply computational and analytical techniques to study wave-like propagation and resonant effects in periodic and quasi-periodic systems. Two themes that unify the content herein are the guidance and confinement of energy using periodic structures, and the utility of asymptotic analysis to aid computation and produce results that lend physical insight to the problems in question. In the first research chapter, we develop the method of high-frequency homogenisation (HFH) for electromagnetic waves in dielectric media, and apply this to the example of a planar array of dielectric spheres. The theory conveniently describes a range of dynamic effects, including effectively anisotropic behaviour in certain frequency regimes. In the second research chapter, we apply the HFH method to a cylindrical Bragg fibre, and use this to set up an effective eigenvalue problem in which the quasi-periodic system representing the fibre cladding is represented by a single continuous Bessel-like equation. We compare the results with those of direct numerical simulations and discuss how the theory could be developed to aid the study of photonic crystal cavities or fibres. In the remaining chapters, we consider the complex resonances of structures with angular periodicity. We demonstrate the emergence of quasi-normal modes with high Q-factors for the Helmholtz equation in such domains, and explore some of their properties using multiple scale analysis. In the final two chapters, we focus on a particular subset of these domains, and using matched asymptotic expansions show that the Q-factors for certain solutions depend exponentially on the number of inclusions arranged in a circular ring. Finally, we extend this analysis to flexural waves in thin elastic plates, and discuss the possibility of structured-ring resonators based on these solutions.
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Dew, N. "Asymptotic structure of Banach spaces." Thesis, University of Oxford, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.270612.

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The notion of asymptotic structure of an infinite dimensional Banach space was introduced by Maurey, Milman and Tomczak-Jaegermann. The asymptotic structure consists of those finite dimensional spaces which can be found everywhere `at infinity'. These are defined as the spaces for which there is a winning strategy in a certain vector game. The above authors introduced the class of asymptotic $\ell_p$ spaces, which are the spaces having simplest possible asymptotic structure. Key examples of such spaces are Tsirelson's space and James' space. We prove some new properties of general asymptotic $\ell_p$ spaces and also compare the notion of asymptotic $\ell_2$ with other notions of asymptotic Hilbert space behaviour such as weak Hilbert and asymptotically Hilbertian. We study some properties of smooth functions defined on subsets of asymptotic $\ell_\infty$ spaces. Using these results we show that that an asymptotic $\ell_\infty$ space which has a suitably smooth norm is isomorphically polyhedral, and therefore admits an equivalent analytic norm. We give a sufficient condition for a generalized Orlicz space to be a stabilized asymptotic $\ell_\infty$ space, and hence obtain some new examples of asymptotic $\ell_\infty$ spaces. We also show that every generalized Orlicz space which is stabilized asymptotic $\ell_\infty$ is isomorphically polyhedral. In 1991 Gowers and Maurey constructed the first example of a space which did not contain an unconditional basic sequence. In fact their example had a stronger property, namely that it was hereditarily indecomposable. The space they constructed was `$\ell_1$-like' in the sense that for any $n$ successive vectors $x_1 < \ldots < x_n$, $\frac{1}{f(n)} \sum_{i=1}^n \| x_i \| \leq \| \sum_{i=1}^n x_i \| \leq \sum_{i=1}^n \| x_i \|,$ where $ f(n) = \log_2 (n+1) $. We present an adaptation of this construction to obtain, for each $ p \in (1, \infty)$, an hereditarily indecomposable Banach space, which is `$\ell_p$-like' in the sense described above. We give some sufficient conditions on the set of types, $\mathscr{T}(X)$, for a Banach space $X$ to contain almost isometric copies of $\ell_p$ (for some $p \in [1, \infty)$) or of $c_0$. These conditions involve compactness of certain subsets of $\mathscr{T}(X)$ in the strong topology. The proof of these results relies heavily on spreading model techniques. We give two examples of classes of spaces which satisfy these conditions. The first class of examples were introduced by Kalton, and have a structural property known as Property (M). The second class of examples are certain generalized Tsirelson spaces. We introduce the class of stopping time Banach spaces which generalize a space introduced by Rosenthal and first studied by Bang and Odell. We look at subspaces of these spaces which are generated by sequences of independent random variables and we show that they are isomorphic to (generalized) Orlicz spaces. We deduce also that every Orlicz space, $h_\phi$, embeds isomorphically in the stopping time Banach space of Rosenthal. We show also, by using a suitable independence condition, that stopping time Banach spaces also contain subspaces isomorphic to mixtures of Orlicz spaces.
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Kong, Fanhui. "Asymptotic distributions of Buckley-James estimator." Online access via UMI:, 2005.

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Åslund, Jan. "Asymptotic analysis of junctions in multi-structures /." Linköping : Univ, 2002. http://www.bibl.liu.se/liupubl/disp/disp2002/tek739s.pdf.

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Lu, Yulong. "Asymptotic analysis and computations of probability measures." Thesis, University of Warwick, 2017. http://wrap.warwick.ac.uk/94863/.

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This thesis is devoted to asymptotic analysis and computations of probability measures. We are concerned with the probability measures arising from two classes of problems: Bayesian inverse problems and rare events in molecular dynamics. In the former we are interested in the concentration phenomenon of the posterior measures such as posterior consistency, and the computational methods for sampling the posterior, such as the Markov Chain Monte Carlo (MCMC). In the latter we want to describe the most probable transition paths on molecular energy landscapes in the small temperature regime. First, we examine the asymptotic normality of a general family of finite dimensional probability measures indexed by a small parameter. We begin this by studying the best Gaussian approximation to the target measure with respect to the Kullback-Leibler divergence, and then analyse the asymptotic behaviour of such approximation via Γ-convergence. This abstract theory is employed to study the posterior consistency of a finite dimensional Bayesian inverse problem. Next, we are concerned with a Bayesian inverse problem arising from barcode denoising, namely reconstructing a binary signal from finite many noisy pointwise evaluations. By choosing the prior appropriately, we show that in the small noise limit the resulting posterior concentrates on a manifold which consists of a family of parametrized binary profiles. Furthermore, we extend the use of Gaussian approximation in the context of the (infinite dimensional) transition path problem. In particular, we characterize the most probable paths as an ensemble of paths which fluctuates within an optimal Gaussian tube. The low temperature limit of these optimal paths is also identified via the Γ-convergence of some relevant variational problem. Finally, we introduce, analyze and implement a novel Bayesian level set method for solving geometric inverse problems. This Bayesian approach not only removes some draw- backs of classical level set methods but also enables quantifying geometric uncertainties induced by noisy measurements.
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Shi, Fangwei. "Asymptotic analysis of new stochastic volatility models." Thesis, Imperial College London, 2017. http://hdl.handle.net/10044/1/60648.

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A good options pricing model should be able to fit the market volatility surface with high accuracy. While the standard continuous stochastic volatility models can generate volatility smiles consistent with market data for relatively larger maturities, these models cannot reproduce market smiles for small maturities, which have the well-observed 'small-time explosion' feature. In this thesis we propose three new types of stochastic volatility models, and we focus on the small-time asymptotic behaviour of the implied volatility in these models. We show that these models can generate implied volatilities with explosion, hence they can theoretically provide a better fit to the market data. The thesis is organised as follows. Chapter 0 is the introduction. We briefly discuss the development and performance of standard continuous stochastic volatility models, and raise the small-time fitness issue of these traditional models. In Chapter 1 we propose the randomised Heston model and analyse its small and large time asymptotic behaviours. In particular, we show that any small-time explosion rate in between of [0, 1/2] for the implied variance can be captured by a suitable choice of the initial randomisation. In Chapter 2 we propose a fractional version of the Heston model and detail the small-time asymptotic behaviour of the implied volatility in this setting. We precise the link between the explosion rate and the Hurst parameter. Finally, in Chapter 3 we propose a new stochastic volatility model based on the recent work by Conus and Wildman in which the stock price can have past dependency. We show that in the case of a CIR variance process this model has similar behaviours to a fractional Heston environment.
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Books on the topic "Asymptotic Analysis"

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Estrada, Ricardo, and Ram P. Kanwal. Asymptotic Analysis. Boston, MA: Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4684-0029-8.

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Fedoryuk, Mikhail V. Asymptotic Analysis. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-58016-1.

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van den Berg, Imme. Nonstandard Asymptotic Analysis. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0077577.

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Ludwig, Monika, Vitali D. Milman, Vladimir Pestov, and Nicole Tomczak-Jaegermann, eds. Asymptotic Geometric Analysis. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6406-8.

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1963-, Giannopoulos Apostolos, and Milman Vitali D. 1939-, eds. Asymptotic geometric analysis. Providence, Rhode Island: American Mathematical Society, 2015.

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Kyōto Daigaku. Sūri Kaiseki Kenkyūjo. Microlocal analysis and asymptotic analysis. [Kyoto]: Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2004.

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MSJ International Research Institute (14th : 2005 : Sendai-shi, Miyagi-ken, Japan), Nihon Sūgakkai, and Tōhoku Daigaku. Rigaku Kenkyūka. Sūgaku Senkō, eds. Asymptotic analysis and singularities. Tokyo: Mathematical Society of Japan, 2007.

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United States. National Aeronautics and Space Administration., ed. Asymptotic model analysis and statistical energy analysis. [Washington, DC: National Aeronautics and Space Administration, 1992.

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F, Peretti Linda, and United States. National Aeronautics and Space Administration., eds. Asymptotic modal analysis and statistical energy analysis. [Washington, DC: National Aeronautics and Space Administration, 1990.

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Cousteix, Jean, and Jacques Mauss. Asymptotic Analysis and Boundary Layers. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-46489-1.

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Book chapters on the topic "Asymptotic Analysis"

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Fedoryuk, Mikhail V. "The Analytic Theory of Differential Equations." In Asymptotic Analysis, 1–23. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-58016-1_1.

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Fedoryuk, Mikhail V. "Second-Order Equations on the Real Line." In Asymptotic Analysis, 24–78. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-58016-1_2.

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Fedoryuk, Mikhail V. "Second-Order Equations in the Complex Plane." In Asymptotic Analysis, 79–167. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-58016-1_3.

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Fedoryuk, Mikhail V., and Andrew Rodick. "Second-Order Equations with Turning Points." In Asymptotic Analysis, 168–226. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-58016-1_4.

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Fedoryuk, Mikhail V. "n th-Order Equations and Systems." In Asymptotic Analysis, 227–351. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-58016-1_5.

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Estrada, Ricardo, and Ram P. Kanwal. "Basic Results in Asymptotics." In Asymptotic Analysis, 1–42. Boston, MA: Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4684-0029-8_1.

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Estrada, Ricardo, and Ram P. Kanwal. "Introduction to the Theory of Distributions." In Asymptotic Analysis, 43–87. Boston, MA: Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4684-0029-8_2.

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Estrada, Ricardo, and Ram P. Kanwal. "A Distributional Theory of Asymptotic Expansions." In Asymptotic Analysis, 88–150. Boston, MA: Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4684-0029-8_3.

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Estrada, Ricardo, and Ram P. Kanwal. "The Asymptotic Expansion of Multi-Dimensional Generalized Functions." In Asymptotic Analysis, 151–94. Boston, MA: Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4684-0029-8_4.

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Estrada, Ricardo, and Ram P. Kanwal. "The Asymptotic Expansion of Certain Series Considered by Ramanujan." In Asymptotic Analysis, 195–232. Boston, MA: Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4684-0029-8_5.

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Conference papers on the topic "Asymptotic Analysis"

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Abel, Ulrich, Mircea Ivan, Xiao-Ming Zeng, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Asymptotic Expansion for Szász-Mirakyan Operators." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790269.

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Banasiak, Jacek, Amartya Goswami, and Sergey Shindin. "Asymptotic Analysis of Structured Population Models." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2990996.

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Faella, Luisa. "Asymptotic behaviour of ferromagnetic wires." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2021. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0162333.

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Soner, H. M. "Asymptotic analysis of manufacturing systems." In 29th IEEE Conference on Decision and Control. IEEE, 1990. http://dx.doi.org/10.1109/cdc.1990.203660.

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Stoica, Codruţa. "Muldowney class asymptotic properties: An overview." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: ICNAAM2022. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0211015.

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Kosiński, Witold, Stefan Kotowski, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Asymptotic and Pointwise Stability of Evolutionary Algorithms." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241252.

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Andrianov, Igor, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Asymptotic and Numerical Modelling of Composite Materials." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241609.

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Fritsch, Gerd, and Michael B. Giles. "An Asymptotic Analysis of Mixing Loss." In ASME 1993 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/93-gt-345.

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Abstract:
The objective of this paper is to establish, in a rigorous mathematical manner, a link between the dissipation of unsteadiness in a 2D compressible flow and the resulting mixing loss. A novel asymptotic approach and a control-volume argument are central to the analysis. It represents the first work clearly identifying the separate contributions to the mixing loss from simultaneous linear disturbances, i.e. from unsteady entropy, vorticity, and pressure waves. The results of the analysis have important implications for numerical simulations of turbomachinery flows; the mixing loss at the stator/rotor interface in steady simulations and numerical smoothing are discussed in depth. For a transonic turbine, the entropy rise through the stage is compared for a steady and an unsteady viscous simulation. The large interface mixing loss in the steady simulation is pointed out and its physical significance is discussed. The asymptotic approach is then applied to the first detailed analysis of interface mixing loss. Contributions from different wave types and wavelengths are quantified and discussed.
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Langins, Aigars, and Andrejs Cēbers. "Asymptotic analysis of magnetic droplet configurations." In Magnetic Soft Matter. University of Latvia, 2019. http://dx.doi.org/10.22364/msm.2019.01.

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Matesanz, A., A. Velazquez, M. Rodriguez, Y. Ryantsansev, and V. Kourdiumov. "Asymptotic analysis of nonequilibrium nozzle flows." In 31st Joint Propulsion Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1995. http://dx.doi.org/10.2514/6.1995-2417.

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Reports on the topic "Asymptotic Analysis"

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Osipov, Andrei. Non-asymptotic Analysis of Bandlimited Functions. Fort Belvoir, VA: Defense Technical Information Center, January 2012. http://dx.doi.org/10.21236/ada555158.

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Fisch, N. J., and C. F. F. Karney. Asymptotic analysis of rf-heated collisional plasma. Office of Scientific and Technical Information (OSTI), March 1985. http://dx.doi.org/10.2172/5597414.

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Judd, Kenneth, and Sy-Ming Guu. Asymptotic Methods for Asset Market Equilibrium Analysis. Cambridge, MA: National Bureau of Economic Research, February 2001. http://dx.doi.org/10.3386/w8135.

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Garbey, M., and H. G. Kaper. Asymptotic analysis: Working note {number_sign}3, boundary layers. Office of Scientific and Technical Information (OSTI), September 1993. http://dx.doi.org/10.2172/10192561.

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Garbey, M., and H. G. Kaper. Asymptotic analysis: Working Note No. 2, Approximation of integrals. Office of Scientific and Technical Information (OSTI), July 1993. http://dx.doi.org/10.2172/6043902.

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Garbey, M., and H. G. Kaper. Asymptotic analysis, Working Note No. 1: Basic concepts and definitions. Office of Scientific and Technical Information (OSTI), July 1993. http://dx.doi.org/10.2172/10185425.

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Willsky, Alan S., and George C. Verghese. Asymptotic Methods for the Analysis, Estimation, and Control of Stochastic Dynamic Systems. Fort Belvoir, VA: Defense Technical Information Center, December 1985. http://dx.doi.org/10.21236/ada166234.

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Khebir, Ahmed, and Raj Mittra. Asymptotic and Absorbing Boundary Conditions for Finite Element Analysis of Digital Circuit and Scattering Problems. Fort Belvoir, VA: Defense Technical Information Center, November 1990. http://dx.doi.org/10.21236/ada229564.

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Liu, Cheng, John Lambros, and Ares J. Rosakis. Highly Transient Elastodynamic Crack Growth in a Bimaterial Interface: Higher Order Asymptotic Analysis and Optical Experiments. Fort Belvoir, VA: Defense Technical Information Center, December 1992. http://dx.doi.org/10.21236/ada266465.

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Ma, Nancy. Asymptotic Analysis of Melt Growth for Antimonide-Based Compound Semiconductor Crystals in Magnetic and Electric Fields. Fort Belvoir, VA: Defense Technical Information Center, October 2006. http://dx.doi.org/10.21236/ada473347.

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