Relevant bibliographies by topics / Classical Analysis and ODEs

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Classical Analysis and ODEs'

Author: Grafiati
Published: 4 June 2021
Last updated: 18 February 2022

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Journal articles on the topic "Classical Analysis and ODEs"

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Kamola, Jumaeva. "Analysis Of Irfaian Odes Of Khagani Shirvani Regarding The Verses Of The Koran And The History Of The Prophets And Saints." American Journal of Social Science and Education Innovations 03, no. 07 (2021): 20–23. http://dx.doi.org/10.37547/tajssei/volume03issue07-05.

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This article below gives brief information on the literary environment in Persian classical literature in the 12th century and the entry of Irfan into the literature. Khagani Shirvani - a brilliant representative of Persian classical literature and his verses also analyzed the verses of the Qur'an and the verses referring to the history of the prophets and saints.
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Wang, Dongling, Aiguo Xiao, and Jun Zou. "Long-time behavior of numerical solutions to nonlinear fractional ODEs." ESAIM: Mathematical Modelling and Numerical Analysis 54, no. 1 (2020): 335–58. http://dx.doi.org/10.1051/m2an/2019055.

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In this work, we study the long time behavior, including asymptotic contractivity and dissipativity, of the solutions to several numerical methods for fractional ordinary differential equations (F-ODEs). The existing algebraic contractivity and dissipativity rates of the solutions to the scalar F-ODEs are first improved. In order to study the long time behavior of numerical solutions to fractional backward differential formulas (F-BDFs), two crucial analytical techniques are developed, with the first one for the discrete version of the fractional generalization of the traditional Leibniz rule,
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Krasnov, Yakov, and Umbetkul K. Koylyshov. "Symmetries in Phase Portrait." Symmetry 12, no. 7 (2020): 1123. http://dx.doi.org/10.3390/sym12071123.

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We construct polynomial dynamical systems x ′ = P ( x ) with symmetries present in the local phase portrait. This point of view on symmetry yields the approaches to ODEs construction being amenable to classical methods of the Spectral Analysis.
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Udhayakumar, S. "Kinds of Ode: A Comparative Study." Shanlax International Journal of English 9, no. 2 (2021): 43–47. http://dx.doi.org/10.34293/english.v9i2.3717.

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This paper brings a comparative analysis of three types of ode poems, i.e., the Pindaric, Horatian and Irregular odes. Its major focus is on the evolutionary changes of odes from its inception at Grecian to English Romantic odes which were greatly influenced by many like Roman influence, Italian influence, Renaissance and Romantic period etc. Moreover the paper gives a clear picture of ode poetry, its characteristics, form and structure and the functions of each type. Through a comparative study the distinct characteristics of the three types are explicated. Some of the ode poems of English po
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Duangpan, Ampol, Ratinan Boonklurb, and Matinee Juytai. "Numerical Solutions for Systems of Fractional and Classical Integro-Differential Equations via Finite Integration Method Based on Shifted Chebyshev Polynomials." Fractal and Fractional 5, no. 3 (2021): 103. http://dx.doi.org/10.3390/fractalfract5030103.

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In this paper, the finite integration method and the operational matrix of fractional integration are implemented based on the shifted Chebyshev polynomial. They are utilized to devise two numerical procedures for solving the systems of fractional and classical integro-differential equations. The fractional derivatives are described in the Caputo sense. The devised procedure can be successfully applied to solve the stiff system of ODEs. To demonstrate the efficiency, accuracy and numerical convergence order of these procedures, several experimental examples are given. As a consequence, the num
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El-Zahar, Essam R., José Tenreiro Machado, and Abdelhalim Ebaid. "A New Generalized Taylor-Like Explicit Method for Stiff Ordinary Differential Equations." Mathematics 7, no. 12 (2019): 1154. http://dx.doi.org/10.3390/math7121154.

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A new generalised Taylor-like explicit method for stiff ordinary differential equations (ODEs) is proposed. The algorithm is presented in its component and vector forms. The error and stability analysis of the method are developed showing that it has an arbitrary high order of convergence and the L-stability property. Moreover, it is verified that several integration schemes are special cases of the new general form. The method is applied on stiff problems and the numerical solutions are compared with those of the classical Taylor-like integration schemes. The results show that the proposed me
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Yartseva, A., R. Devillers, H. Klaudel, and F. Képès. "From MIN model to ordinary differential equations." Journal of Integrative Bioinformatics 4, no. 3 (2007): 15–26. http://dx.doi.org/10.1515/jib-2007-61.

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Summary Biological interaction networks can be modeled using the Modular Interaction Network (MIN) formalism, which provides an intermediary modeling level between the biological and mathematical ones. MIN focuses on a simple but structured and versatile representation of biological knowledge, without targeting a particular analysis or simulation technique. In this paper, we propose a translation procedure which, starting from a MIN specification of a biological system, generates its representation in ordinary differential equations (ODEs) allowing to study the dynamics of the system. The tran
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Zhang, Sheng, and Guang Lin. "Robust data-driven discovery of governing physical laws with error bars." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474, no. 2217 (2018): 20180305. http://dx.doi.org/10.1098/rspa.2018.0305.

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Discovering governing physical laws from noisy data is a grand challenge in many science and engineering research areas. We present a new approach to data-driven discovery of ordinary differential equations (ODEs) and partial differential equations (PDEs), in explicit or implicit form. We demonstrate our approach on a wide range of problems, including shallow water equations and Navier–Stokes equations. The key idea is to select candidate terms for the underlying equations using dimensional analysis, and to approximate the weights of the terms with error bars using our threshold sparse Bayesia
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Saadati, M., and M. Sadighi. "A damage investigation of a lightweight composite sandwich beam under concentrated loading." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 223, no. 11 (2009): 2509–18. http://dx.doi.org/10.1243/09544062jmes1525.

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Sandwich beam damages are different from thick laminates because of thick and low modulus core. Faces and core fracture and core compressive yielding are three major damages of a lightweight sandwich beam under concentrated loading. The sandwich panel classical theory (SPCT) measures core compression using the Winkler foundation theory. The sandwich panel higher-order theory (SPHOT) assumes sandwich beams in three sections (top face, core, and bottom face). SPHOT models deformation of faces with the classical laminate deformation theory and for core with the elasticity theory. This is a closed
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Lazebnik, Teddy, Svetlana Bunimovich-Mendrazitsky, and Leonid Shaikhet. "Novel Method to Analytically Obtain the Asymptotic Stable Equilibria States of Extended SIR-Type Epidemiological Models." Symmetry 13, no. 7 (2021): 1120. http://dx.doi.org/10.3390/sym13071120.

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We present a new analytical method to find the asymptotic stable equilibria states based on the Markov chain technique. We reveal this method on the Susceptible-Infectious-Recovered (SIR)-type epidemiological model that we developed for viral diseases with long-term immunity memory. This is a large-scale model containing 15 nonlinear ordinary differential equations (ODEs), and classical methods have failed to analytically obtain its equilibria. The proposed method is used to conduct a comprehensive analysis by a stochastic representation of the dynamics of the model, followed by finding all as
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Dissertations / Theses on the topic "Classical Analysis and ODEs"

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Bernicot, Frederic. "Contribution à l'Analyse de Fourier." Habilitation à diriger des recherches, Université de Nantes, 2013. http://tel.archives-ouvertes.fr/tel-00846803.

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Dans ce mémoire, nous détaillons différents travaux que j'ai efféctués ces dernières années sur des problèmes d'analyse harmonique réelle et plus particulièrement d'analyse de Fourier en lien avec l'analyse des EDPs. Le coeur de l'analyse de Fourier réside dans la procédure suivante : afin d'étudier un objet mathématique (une fonction, un opérateur, un espace fonctionnel, ...), on le décompose en objets élémentaires, vérifiant certaines propriétés supplémentaires. Le but et la difficulté de l'analyse est alors d'utiliser des informations sur ces objets élémentaires et de les sommer (le plus fi
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Guo, Zilong. "Commentary on the Pseudonymous Letters of Aeschines (excluding Letter 10)." Thesis, University of Edinburgh, 2018. http://hdl.handle.net/1842/29644.

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The aim of the thesis is to study the pseudonymous letters of Aeschines, all of which purport to give an account of his sojourn in exile. There is a strong consensus among scholars that all the letters are forgeries, and their date of composition tends to be located in the first few centuries CE on linguistic grounds. Embracing a variety of literary forms, these letters were probably composed by multiple hands and may for convenience be divided into three categories: Letters 2, 3, 7, 11, 12 imitate the ‘Demosthenic’ letters in a manner similar to the Hellenistic (and beyond) historical declama
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Gigli, Nicola. "Proprietes geometriques et analytiques de certaines structures non lisses." Habilitation à diriger des recherches, Université de Nice Sophia-Antipolis, 2011. http://tel.archives-ouvertes.fr/tel-00769381.

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This work is to give an overview over the research that I've done up to now. The overall idea behind my interests has been that of understanding analytical and geometrical properties of non smooth spaces both from both a theoretical and a practical point of view. The two main classes of spaces on which I focussed are: the Wasserstein space (P2(M),W2) built over a Riemannian manifold, and abstract metric and metric-measure spaces, in particular those with Ricci curvature bounded below.
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Hymans, Charles. "Vérification de descriptions VHDL par interprétation abstraite." Phd thesis, Ecole Polytechnique X, 2004. http://pastel.archives-ouvertes.fr/pastel-00000875.

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Cette thèse traite de la vérification automatique de composants matériels décrits en VHDL. C'est une étude de faisabilité d'un outil de vérification automatique qui réunit: exhaustivité, efficacité de calcul et simplicité d'utilisation. La méthodologie de l'interprétation abstraite a été adoptée: l'algorithme de simulation de VHDL est d'abord formalisé par une sémantique opérationnelle, de laquelle une analyse statique est dérivée de façon systématique par abstraction. L'analyse calcule un sur-ensemble des états accessibles. Le domaine numérique utilisé pour représenter les valeurs possibles d
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Attia, Najmeddine. "Comportement asymptotique de marches aléatoires de branchement dans $\mathbb{R}^d$ et dimension de Hausdorff." Phd thesis, Université Paris-Nord - Paris XIII, 2012. http://tel.archives-ouvertes.fr/tel-00841496.

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Nous calculons presque sûrement, simultanément, les dimensions de Hausdorff des ensembles de branches infinies de la frontière d'un arbre de Galton-Watson super-critique (muni d'une métrique aléatoire) le long desquelles les moyennes empiriques d'une marche aléatoire de branchement vectorielle admettent un ensemble donné de points limites. Cela va au-delà de l'analyse multifractale, question pour laquelle nous complétons les travaux antérieurs en considérant les ensembles associés à des niveaux situés dans la frontière du domaine d'étude. Nous utilisons une méthode originale dans ce contexte,
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Ayadi, Fatma. "Analyse harmonique et équation de Schrödinger associées au laplacien de Dunkl trigonométrique." Phd thesis, Université d'Orléans, 2011. http://tel.archives-ouvertes.fr/tel-00664822.

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l'équation de Schrödinger associée au laplacien de Dunkl trigonométrique unidimensionnel . Cette étude commence par des estimations optimales du noyau de la chaleur et de Schrödinger. A l'aide de ces résultats, ainsi que les outils d'analyse harmonique dévellopée dans le chapitre 2, on montre des éstimées de type Strichartz qui permettent de trouver des conditions d'admissibilité pour des équations de Schrödinger semi-linéaires.
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Ehrlacher, Virginie, and Virginie Ehrlacher. "Quelques modèles mathématiques en chimie quantique et propagation d'incertitudes." Phd thesis, Université Paris-Est, 2012. http://tel.archives-ouvertes.fr/tel-00719466.

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Ce travail comporte deux volets. Le premier concerne l'étude de défauts locaux dans des matériaux cristallins. Le chapitre 1 donne un bref panorama des principaux modèles utilisés en chimie quantique pour le calcul de structures électroniques. Dans le chapitre 2, nous présentons un modèle variationnel exact qui permet de décrire les défauts locaux d'un cristal périodique dans le cadre de la théorie de Thomas-Fermi-von Weiszäcker. Celui-ci est justifié à l'aide d'arguments de limite thermodynamique. On montre en particulier que les défauts modélisés par cette théorie ne peuvent pas être chargés
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Jin, Xiong. "Construction et analyse multifractale de fonctions aléatoires et de leurs graphes." Phd thesis, Université Paris Sud - Paris XI, 2010. http://tel.archives-ouvertes.fr/tel-00841501.

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Cette thèse est consacrée à la construction et l'analyse multifractale de fonctions aléatoires et de leurs graphes. La construction de ces objets se fait dans le cadre de la théorie des T-martingales de Kahane, et plus spécifiquement des [0, 1]-martingales. Cette théorie est fréquemment utilisée pour construire des martingales à valeurs dans les mesures de Borel positives dont la limite soit presque sûrement singulière par rapport à la mesure de Lebesgue. Ceci se fait en perturbant cette dernière à l'aide d'une suite de densités aléatoires qui sont des martingales positives d'espérance 1. Ici,
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Van, den Groenendaal Wim. "Selbstdarstellung in Pindar's and Bacchylides' epinician odes composed for Sicilian laudandi." Thesis, University of Glasgow, 2006. http://theses.gla.ac.uk/3249/.

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An epinician ode is not only praise for a laudandus but also a form of civic discourse in which the laudandus conducts a debate inviting the audience to make a judgement. This enquiry investigates how the eighteen epinician odes composed by Pindar and Bacchylides for Sicilian laudandi accommodate the political and social aspirations of the patrons commissioning them. It also investigates how rhetoric contributes to the fulfilment of the encomiastic purpose in those odes. This enquiry situates the epinician odes in their proper historical context. It contrasts its findings with those of others.
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Eisenfeld, Hanne Ellen. "Only Mostly Dead: Immortality and Related States in Pindar's Victory Odes." The Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1402919442.

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Books on the topic "Classical Analysis and ODEs"

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González, Mario O. Classical complex analysis. M. Dekker, 1992.

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Loukas, Grafakos, ed. Classical Fourier analysis. 2nd ed. Springer, 2008.

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J, Hoffman Michael, ed. Elementary classical analysis. 2nd ed. W.H. Freeman, 1993.

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Marsden, Jerrold E. Elementary classical analysis. 2nd ed. W.H. Freeman, 2002.

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Daniel, Waterman, and American Mathematical Society, eds. Classical real analysis. American Mathematical Society, 1985.

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Grafakos, Loukas. Classical Fourier Analysis. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-1194-3.

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Grafakos, Loukas. Classical Fourier Analysis. Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-09432-8.

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Waterman, Daniel, ed. Classical real analysis. American Mathematical Society, 1985. http://dx.doi.org/10.1090/conm/042.

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Bernard, Epstein, ed. Classical complex analysis. Jones and Bartlett Publishers, 1996.

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Invitation to classical analysis. American Mathematical Society, 2012.

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Book chapters on the topic "Classical Analysis and ODEs"

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Faul, A. C. "ODEs." In A Concise Introduction to Numerical Analysis. Chapman and Hall/CRC, 2018. http://dx.doi.org/10.1201/9781315370217-6.

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Börgers, Christoph. "The Classical Hodgkin-Huxley ODEs." In An Introduction to Modeling Neuronal Dynamics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51171-9_3.

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Coster, C., and P. Habets. "Upper and Lower Solutions in the Theory of Ode Boundary Value Problems: Classical and Recent Results." In Non Linear Analysis and Boundary Value Problems for Ordinary Differential Equations. Springer Vienna, 1996. http://dx.doi.org/10.1007/978-3-7091-2680-6_1.

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Gautschi, Walter. "Initial Value Problems for ODEs: Multistep Methods." In Numerical Analysis. Birkhäuser Boston, 2011. http://dx.doi.org/10.1007/978-0-8176-8259-0_6.

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Gautschi, Walter. "Two-Point Boundary Value Problems for ODEs." In Numerical Analysis. Birkhäuser Boston, 2011. http://dx.doi.org/10.1007/978-0-8176-8259-0_7.

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Gautschi, Walter. "Initial Value Problems for ODEs: One-Step Methods." In Numerical Analysis. Birkhäuser Boston, 2011. http://dx.doi.org/10.1007/978-0-8176-8259-0_5.

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Iwaniec, Henryk. "Classical analysis." In Spectral Methods of Automorphic Forms. American Mathematical Society, 2002. http://dx.doi.org/10.1090/gsm/053/16.

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Lewis, Gerald F. "Classical Analysis." In Analytical Chemistry. Macmillan Education UK, 1985. http://dx.doi.org/10.1007/978-1-349-07757-1_6.

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Lechner, Kurt. "Spectral Analysis." In Classical Electrodynamics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91809-9_11.

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Bianchini, Bruno, Luciano Mari, Patrizia Pucci, and Marco Rigoli. "Boundary Value Problems for Nonlinear ODEs." In Geometric Analysis of Quasilinear Inequalities on Complete Manifolds. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-62704-1_5.

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Conference papers on the topic "Classical Analysis and ODEs"

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Ishihara, Abraham K., and Shahar Ben-Menahem. "A Matrix WKB Approach to Feedforward and Feedback Control." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-16119.

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We apply a powerful new analytical approximation method, recently developed by the authors, to the design and analysis of feedforward and feedback control systems. This formalism employs a matrix version of the WKB expansion, which is an asymptotic approximation method familiar in quantum mechanics and classical continuum mechanics. Our matrix WKB formalism has proven remarkably useful in approximating and characterizing the long-term dynamics of systems of ODEs (both linear and nonlinear) when there exists a time scale hierarchy. In particular, the linear error dynamics encountered in the ana
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Savcenco, Valeriu, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Multirate Time Stepping for Stiff ODEs." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790187.

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Vainikko, G. "A smooth solution to singular ODEs." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756114.

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Fofana, M. S. "A Unified Framework for the Study of Periodic Solutions of Nonlinear Delay Differential Equations." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/vib-21617.

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Abstract Periodic solutions of delay differential equations (DDEs) splitting into stable and unstable branches are examined in an infinite-dimensional space for fixed and multiple time delays. The center manifold theorem and the classical Hopf bifurcation theorem for the study of periodic solutions of ordinary differential equations (ODEs) are employed to reduce the infinite-dimensional character of the DDEs to finite-dimensional ODEs. Using integral averaging method, the vector field of the ODEs is converted and averaged into amplitude a and phase φ relations. From these relations bifurcation
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Kloeden, Peter, and Xiaoying Han. "The numerical solution of random ODEs." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5043647.

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Mazur, Tomasz. "Classical Analysis." In 6th Symposium. WORLD SCIENTIFIC, 1992. http://dx.doi.org/10.1142/9789814537568.

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Jensen, C. V. "Decomposition of ODEs with an sl2 algebra of symmetries." In GLOBAL ANALYSIS AND APPLIED MATHEMATICS: International Workshop on Global Analysis. AIP, 2004. http://dx.doi.org/10.1063/1.1814730.

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Itoh, Toshiaki. "Construction of difference equations from symmetries of ODEs." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756599.

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Xie, Chunmei, Aurélien Babarit, François Rongère, and Alain H. Clément. "Use of Clement’s ODEs for the Speedup of Computation of the Green Function and its Derivatives for Floating or Submerged Bodies in Deep Water." In ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/omae2018-78295.

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A new acceleration technique for the computation of first order hydrodynamic coefficients for floating bodies in frequency domain and in deep water is proposed. It is based on the classical boundary element method (BEM) which requires solving a boundary integral equation for distributions of sources and/or dipoles and evaluating integrals of Kelvin’s Green function and its derivatives over panels. The Kelvin’s Green function includes two Rankine sources and a wave term. In present study, for the two Rankine sources, analytical integrations of strongly singular kernels are adopted for the linea
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Fitch, J., A. Norman, and M. A. Moore. "Alkahest III: automatic analysis of periodic weakly nonlinear ODEs." In the fifth ACM symposium. ACM Press, 1986. http://dx.doi.org/10.1145/32439.32446.

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Reports on the topic "Classical Analysis and ODEs"

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. Slawianowski, Jan J. Slawianowski, and Barbara Golubowska Golubowska. Bertrand Systems on Spaces of Constant Sectional Curvature. The Action-Angle Analysis. Classical, Quasi-Classical and Quantum Problems. GIQ, 2015. http://dx.doi.org/10.7546/giq-16-2015-110-138.

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Dawkins, William P. Computer Program for Design and Analysis of Sheet Pile Walls by Classical Methods (CWALSHT) Including Rowe's Moment Reduction. User's Guide. Defense Technical Information Center, 1991. http://dx.doi.org/10.21236/ada243811.

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Patel, Reena. Complex network analysis for early detection of failure mechanisms in resilient bio-structures. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/41042.

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Bio-structures owe their remarkable mechanical properties to their hierarchical geometrical arrangement as well as heterogeneous material properties. This dissertation presents an integrated, interdisciplinary approach that employs computational mechanics combined with flow network analysis to gain fundamental insights into the failure mechanisms of high performance, light-weight, structured composites by examining the stress flow patterns formed in the nascent stages of loading for the rostrum of the paddlefish. The data required for the flow network analysis was generated from the finite ele
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HEFNER, Robert. IHSAN ETHICS AND POLITICAL REVITALIZATION Appreciating Muqtedar Khan’s Islam and Good Governance. IIIT, 2020. http://dx.doi.org/10.47816/01.001.20.

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Ours is an age of pervasive political turbulence, and the scale of the challenge requires new thinking on politics as well as public ethics for our world. In Western countries, the specter of Islamophobia, alt-right populism, along with racialized violence has shaken public confidence in long-secure assumptions rooted in democracy, diversity, and citizenship. The tragic denouement of so many of the Arab uprisings together with the ascendance of apocalyptic extremists like Daesh and Boko Haram have caused an even greater sense of alarm in large parts of the Muslim-majority world. It is against
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Methodology of sports working capacity level increase in basketball players on the basis of stimulation and rehabilitation means. Viktor V. Andreev, Igor E. Konovalov, Dmitriy S. Andreev, Aleksandr I. Morozov, 2021. http://dx.doi.org/10.14526/2070-4798-2021-16-1-5-11.

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Abstract:
The increased level of modern sport development increases the demands claimed on different aspects of the training process with further rehabilitation organization and realization. That is why we still have the problem of an adequate and effective integral system creation. The mentioned direction has a direct connection with the activity of scientists, coaches- practitioners and sports clubs. They have to work within one mechanism of interaction. Materials. Studying the level of working capacity influence stimulation and organism rehabilitation means on an organism of basketball players from h
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