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Relevant bibliographies by topics / Hermite approximations

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Academic literature on the topic 'Hermite approximations'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Hermite approximations"

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Ky, Nguyen Xuan. "Signal analysis and weighted polynomial approximation." Studia Scientiarum Mathematicarum Hungarica 43, no. 2 (2006): 159–69. http://dx.doi.org/10.1556/sscmath.43.2006.2.2.

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We present applications of Hermite polynomials in signal analysis. Among other result, we give a characterization of the so-called time-frequency window functions in terms of the Hermite--Fourier coefficients, a Bernstein-type theorem for the best approximations of window functions by Hermite-functions, time-frequency approximations. Some analogues for Hankel-transforms will also be considered.

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KERMAN, R., M. L. HUANG, and M. BRANNAN. "ERROR ESTIMATES FOR DOMINICI’S HERMITE FUNCTION ASYMPTOTIC FORMULA AND SOME APPLICATIONS." ANZIAM Journal 50, no. 4 (2009): 550–61. http://dx.doi.org/10.1017/s1446181109000273.

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AbstractThe aim of this paper is to find a concrete bound for the error involved when approximating the nth Hermite function (in the oscillating range) by an asymptotic formula due to D. Dominici. This bound is then used to study the accuracy of certain approximations to Hermite expansions and to Fourier transforms. A way of estimating an unknown probability density is proposed.

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Singh, Pravin, Nabendra Parumasur, and Shivani Singh. "A Review of Collocation Approximations to Solutions of Differential Equations." Mathematics 10, no. 23 (2022): 4438. http://dx.doi.org/10.3390/math10234438.

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This review considers piecewise polynomial functions, that have long been known to be a useful and versatile tool in numerical analysis, for solving problems which have solutions with irregular features, such as steep gradients and oscillatory behaviour. Examples of piecewise polynomial functions used include splines, in particular B-splines, and Hermite functions. Spline functions are useful for obtaining global approximations whilst Hermite functions are useful for approximation over finite elements. Our aim in this review is to study quintic Hermite functions and develop a numerical colloca

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Hu, Jiaxin, Chenglong Yu, and Kangyun Zhou. "Padé Approximations and Irrationality Measures on Values of Confluent Hypergeometric Functions." Mathematics 12, no. 16 (2024): 2516. http://dx.doi.org/10.3390/math12162516.

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Padé approximations are approximations of holomorphic functions by rational functions. The application of Padé approximations to Diophantine approximations has a long history dating back to Hermite. In this paper, we use the Maier–Chudnovsky construction of Padé-type approximation to study irrationality properties about values of functions with the form f(x)=∑k=0∞xkk!(bk+s)(bk+s+1)⋯(bk+t), where b,t,s are positive integers and obtain upper bounds for irrationality measures of their values at nonzero rational points. Important examples includes exponential integral, Gauss error function and Kum

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Burova, I. G. "The Hermite-Birkhoff Problem and Local Spline Approximation." WSEAS TRANSACTIONS ON MATHEMATICS 23 (October 2, 2024): 591–98. http://dx.doi.org/10.37394/23206.2024.23.62.

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This paper discusses the use of local spline approximations to solve the Hermite-Birkhoff problem. The solution to a specific problem using polynomial and non-polynomial local splines of the third order of approximation is considered. Here we discuss the case when the values of the function 𝑢(𝑥) and its derivative 𝑢’(𝑥) are given at the nodes of the grid in an alternative way: … , 𝑢(𝑥𝑗), 𝑢′(𝑥𝑗+1), 𝑢(𝑥𝑗+2), … . Note that when using polynomial and non-polynomial spline approximations, it is possible to obtain acceptable solutions in several interesting cases that are impossible when we use the c

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Kadakal, Huriye, and Mahir Kadakal. "Inverse trigonometrically convexity and better approximations." Miskolc Mathematical Notes 26, no. 1 (2025): 305. https://doi.org/10.18514/mmn.2025.4519.

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In this paper, we introduce and study the concept of inverse trigonometrically convex functions and their some algebraic properties. We prove some Hermite-Hadamard type integral inequalities for the newly introduced class of functions. We also obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value is inverse trigonometrically convex. Moreover, we proved that Hölder-İşcan and improved power-mean integral inequalities give a better approach than Hölder and power-mean inequalities.

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Rosenkilde, Johan, and Arne Storjohann. "Algorithms for simultaneous Hermite–Padé approximations." Journal of Symbolic Computation 102 (January 2021): 279–303. http://dx.doi.org/10.1016/j.jsc.2019.07.026.

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Komargodski, Z., and D. Levin. "Hermite type moving-least-squares approximations." Computers & Mathematics with Applications 51, no. 8 (2006): 1223–32. http://dx.doi.org/10.1016/j.camwa.2006.04.005.

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Aguirre, Julián, and Judith Rivas. "Hermite pseudospectral approximations. An error estimate." Journal of Mathematical Analysis and Applications 304, no. 1 (2005): 189–97. http://dx.doi.org/10.1016/j.jmaa.2004.09.013.

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Suetin, Sergey Pavlovich. "Convergence of Hermite-Padé rational approximations." Russian Mathematical Surveys 78, no. 5 (2023): 967–69. http://dx.doi.org/10.4213/rm10144e.

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Dissertations / Theses on the topic "Hermite approximations"

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Sarna, Neeraj [Verfasser], Manuel [Akademischer Betreuer] Torrilhon, and Zhenning [Akademischer Betreuer] Cai. "Entropy stable hermite approximations of the Boltzmann equation / Neeraj Sarna ; Manuel Torrilhon, Zhenning Cai." Aachen : Universitätsbibliothek der RWTH Aachen, 2019. http://d-nb.info/1195779097/34.

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Ahy, Nathaniel. "A Comparison between Approximations of Option Pricing Models and Risk-Neutral Densities using Hermite Polynomials." Thesis, Uppsala universitet, Tillämpad matematik och statistik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-413732.

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Javed, Mohsin. "Algorithms for trigonometric polynomial and rational approximation." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:23a36d72-0299-4c63-98e8-d0aa088c062e.

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This thesis presents new numerical algorithms for approximating functions by trigonometric polynomials and trigonometric rational functions. We begin by reviewing trigonometric polynomial interpolation and the barycentric formula for trigonometric polynomial interpolation in Chapter 1. Another feature of this chapter is the use of the complex plane, contour integrals and phase portraits for visualising various properties and relationships between periodic functions and their Laurent and trigonometric series. We also derive a periodic analogue of the Hermite integral formula which enables us to

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Brookes, Richard G. "The quadratic Hermite-Padé approximation." Thesis, University of Canterbury. Mathematics, 1989. http://hdl.handle.net/10092/8886.

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This thesis is concerned with the existence, behaviour and performance of the quadratic Hermite-Padé approximation. It starts with the definition of the general Hermite-Padé approximation. Some of the problems which arise, particularly those of finding Hermite-Padé forms and the existence of approximations are discussed. Chapter 3 solves the existence problem in the quadratic case whilst Chapter 2 presents a recurrence algorithm for finding quadratic forms which can easily be extended to general Hermite-Padé forms. Chapters 4 and 5 compare the performance of the quadratic, Padé and Taylor ap

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Savignat, Jean-Michel. "Approximation diffuse Hermite et ses applications." Phd thesis, École Nationale Supérieure des Mines de Paris, 2000. http://pastel.archives-ouvertes.fr/pastel-00577930.

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De nombreuses techniques de résolution d'équations aux dérivées partielles sans maillage ont été développées dans la dernière décennie, proposant une alternative attrayante lorsque les éléments finis atteignent leurs limites. Notre travail se concentre sur l'étude de l'approximation diffuse, de ses applications au lissage et a la résolution des équations différentielles : les éléments diffus. Cependant, les solutions proposées s'appliquent aussi à d'autres méthodes et de nombreux résultats numériques illustrent chaque développement théorique. Dans un premier temps, nous étudions les techniques

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Khémira, Samy. "Approximants de Hermite-Padé, déterminants d'interpolation et approximation diophantienne." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2005. http://tel.archives-ouvertes.fr/tel-00009653.

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Cette thèse aborde des sujets d'approximation diophantienne et de transcendance liés aux fonctions exponentielles. Il est tout d'abord établit des liens entre les coefficients d'approximants de Hermite-Padé, ceux de polynômes d'interpolation de Hermite et certains cofacteurs d'un déterminant de Vandermonde généralisé. Nous utilisons ensuite la notion de hauteur d'une matrice (que nous majorons grâce aux liens précédemment fournis) afin de donner une nouvelle démonstration de la transcendance de $e$. Ces résultats nous permettent finalement d'obtenir de nouveaux énoncés d'approximation diophant

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Lemenuel-Diot, Annabelle. "Spécification des paramètres entrant dans les modèles de mélanges non linéaires à effets mixtes par approximation de la vraisemblance : application à la détection et à l'explication d'hétérogénéités dans le domaine de la Pharmacocinétique/Pharmacodynamie." Paris 6, 2005. http://www.theses.fr/2005PA066152.

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Ahjaou, Abdelhak. "Approximation numérique de certaines équations aux dérivées partielles non linéaires dans les domaines non bornes par les méthodes spectrales de type Hermite." Nancy 1, 1994. http://www.theses.fr/1994NAN10069.

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Addam, Mohamed. "Approximation du problème diffusion en tomographie optique et problème inverse." Phd thesis, Université du Littoral Côte d'Opale, 2009. http://tel.archives-ouvertes.fr/tel-00579257.

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Cette thèse porte sur l'approximation des équations aux dérivées partielles, en particulier l'équation de diffusion en tomographie optique. Elle peut se présenter en deux parties essentielles. Dans la première partie on discute le problème direct alors que le problème inverse est abordé dans la seconde partie. Pour le problème direct, on suppose que les paramètres optiques et les fonctions sources sont donnés. On résout alors le problème de diffusion dans un domaine où la densité du flux lumineux est considérée comme une fonction inconnue à approcher numériquement. Le plus souvent, pour recons

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Hörmann, Wolfgang, and Josef Leydold. "Continuous Random Variate Generation by Fast Numerical Inversion." Department of Statistics and Mathematics, Abt. f. Angewandte Statistik u. Datenverarbeitung, WU Vienna University of Economics and Business, 2002. http://epub.wu.ac.at/664/1/document.pdf.

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The inversion method for generating non-uniform random variates has some advantages compared to other generation methods, since it monotonically transforms uniform random numbers into non-uniform random variates. Hence it is the method of choice in the simulation literature. However, except for some simple cases where the inverse of the cumulative distribution function is a simple function we need numerical methods. Often inversion by ``brute force" is used, applying either very slow iterative methods or linear interpolation of the CDF and huge tables. But then the user has to accept unnecessa

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Book chapters on the topic "Hermite approximations"

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Yvonnet, J., P. Villon, and F. Chinesta. "Bubble and Hermite Natural Element Approximations." In Lecture Notes in Computational Science and Engineering. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-46222-4_17.

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Nesterenko, Yu. "Hermite-padé approximations of the generalized hypergeometric functions." In Progress in Mathematics. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4757-4273-2_12.

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Criscuolo, G., B. Della Vecchia, and G. Mastroianni. "Hermite-Fejéa and Hermite Interpolation." In Approximation Theory, Spline Functions and Applications. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-2634-2_19.

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Knoop, Hans-Bernd. "Hermite-Fejer and Higher Hermite-Fejer Interpolation with Boundary Conditions." In Multivariate Approximation Theory III. Birkhäuser Basel, 1985. http://dx.doi.org/10.1007/978-3-0348-9321-3_24.

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Aptekarev, A. I., and Herbert Stahl. "Asymptotics of Hermite-Padé Polynomials." In Progress in Approximation Theory. Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4612-2966-7_6.

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Mhaskar, H. N. "Local Approximation Using Hermite Functions." In Springer Optimization and Its Applications. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49242-1_16.

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von Radziewski, Karin. "On Periodic Hermite-Birkhoff Interpolation by Translation." In Multivariate Approximation Theory IV. Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-7298-0_30.

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Locher, F. "Convergence of Hermite-Fejér Interpolation via Korovkin’s Theorem." In Multivariate Approximation Theory III. Birkhäuser Basel, 1985. http://dx.doi.org/10.1007/978-3-0348-9321-3_27.

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Driver, K. A., D. S. Lubinsky, and H. Wallin. "Hermite-Padé Polynomials and Approximation Properties." In Nonlinear Numerical Methods and Rational Approximation II. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-0970-3_22.

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Engels, H. "Hermite-Interpolation in N Variables and Minimal Cubature Formulae." In Multivariate Approximation Theory III. Birkhäuser Basel, 1985. http://dx.doi.org/10.1007/978-3-0348-9321-3_15.

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Conference papers on the topic "Hermite approximations"

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Liu, Chun-Lin, and Yi-Hung Chou. "Approximation and Analysis of the One-Bit Hermite Law." In ICASSP 2025 - 2025 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2025. https://doi.org/10.1109/icassp49660.2025.10888049.

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Zheng, Cheng-de, Jing-hua Gao, and Zhi-bin Li. "On Multivariate Hermite- Pade Approximations." In 2006 International Conference on Machine Learning and Cybernetics. IEEE, 2006. http://dx.doi.org/10.1109/icmlc.2006.258502.

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Ligang Liu and Guojin Wang. "Recursive formulae for Hermite polynomial approximations to rational Bezier curves." In Proceedings Geometric Modeling and Processing 2000. Theory and Applications. IEEE, 2000. http://dx.doi.org/10.1109/gmap.2000.838251.

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Su, Ge, Zheng Tan, and Jian Su. "Improved Lumped Models for a One-Dimensional Nonlinear Heat Conduction Problem." In ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/ht2007-32928.

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This work reports improved lumped-parameter models for a class of one-dimensional nonlinear heat conduction problems in a slab, cylinder or sphere with linearly temperature-dependent thermal conductivity and subject to combined convective and radiative boundary condition. The improved lumped models are obtained through two point Hermite approximations for integrals. It is shown by comparison with numerical solution of the original distributed parameter models that the higher order lumped models (H1, 1/H0, 0 approximation for slab and cylinder, H2, 1/H0, 0 for sphere) yield significant improvem

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Su, Jian, and Djane R. Cerqueira. "Improved Lumped-Differential Models for Transient Heat Conduction in Multilayered Composite Media." In 12th International Conference on Nuclear Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/icone12-49157.

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In this paper we present improved lumped-differential formulations for one-dimensional transient heat conduction in multilayered composite media. Hermite approximations for integrals are used to obtain the average temperatures and heat fluxes in each layer. Average temperatures calculated with improved lumped parameter formulation agree well with reference finite difference solutions. The proposed heat conduction models can be used in fuel dynamics calculation for stability analysis of BWR, simplified model of PWR or real-time simulator of nuclear power plants.

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Pontedeiro, Auro C., Renato M. Cotta, and Jian Su. "Improved Lumped Model for Transient Heat Conduction in a Heat Generating Cylinder With Temperature-Dependent Thermophysical Properties." In ASME 2004 Heat Transfer/Fluids Engineering Summer Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/ht-fed2004-56051.

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This paper presents improved lumped-differential formulations for one dimensional transient heat conduction in a heat generating cylinder with temperature-dependent thermo-physical properties. Two points Hermite approximations for integrals (H1,1/H1,1) are used to approximate the average temperature and the heat flux in the radial direction. As a testing case, transient heat conduction in a nuclear fuel rod was computed with the thermo-physical properties represented by correlations from MATPRO — a Library of Materials Properties for Light-Water-Reactor Accident Analysis. The problem was formu

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Chen, Fengmin, and Patricia J. Y. Wong. "Approximation by discrete hermite interpolation." In Vision (ICARCV 2010). IEEE, 2010. http://dx.doi.org/10.1109/icarcv.2010.5707774.

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Tuichiev, A. M. "Approximation of functions by the Fourier-Hermite quotient." In Научные тенденции: Вопросы точных и технических наук. ЦНК МОАН, 2018. http://dx.doi.org/10.18411/spc-12-12-2018-01.

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Yu, Thomas P. "Approximation order/smoothness tradeoff in Hermite subdivision schemes." In International Symposium on Optical Science and Technology, edited by Andrew F. Laine, Michael A. Unser, and Akram Aldroubi. SPIE, 2001. http://dx.doi.org/10.1117/12.449731.

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Alexa, Marc. "-Functions Piecewise-linear Approximation from Noisy and Hermite Data." In SIGGRAPH '22: Special Interest Group on Computer Graphics and Interactive Techniques Conference. ACM, 2022. http://dx.doi.org/10.1145/3528233.3530743.

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Reports on the topic "Hermite approximations"

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Manzini, Gianmarco, and D. Funaro. Stability and Conservation properties of Hermite-based approximations of the Vlasov-Poisson System. Office of Scientific and Technical Information (OSTI), 2021. http://dx.doi.org/10.2172/1788400.

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Cai, Yongyang, and Kenneth Judd. Dynamic Programming with Hermite Approximation. National Bureau of Economic Research, 2012. http://dx.doi.org/10.3386/w18540.

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