Relevant bibliographies by topics / Mathematical models. Calculus

Contents

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

Academic literature on the topic 'Mathematical models. Calculus'

Author: Grafiati
Published: 4 June 2021
Last updated: 2 February 2022

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Journal articles on the topic "Mathematical models. Calculus"

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Mehta, U., R. Prasad, and K. Kothari. "VARIOUS ANALYTICAL MODELS FOR SUPERCAPACITORS: A MATHEMATICAL STUDY." Resource-Efficient Technologies, no. 1 (May 9, 2020): 1–15. http://dx.doi.org/10.18799/24056537/2020/1/218.

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Supercapacitors (SCs) are used extensively in high-power potential energy applications like renewable energy systems, electric vehicles, power electronics, and many other industrial applications. This is due to SCs containing high-power density and the ability to respond spontaneously with fast charging and discharging demands. Advancements in material and fabrication techniques have induced a scope for research to improve the application of SCs. Many researchers have studied various SC properties and their effects on energy storage and management performance. In this paper, various fractional
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Barroso, Norman Cuello. "Mathematical Models in Predicting Retention of STEM Students in Pre-Calculus." International Journal of Pedagogical Development and Lifelong Learning 1, no. 1 (2020): ep2004. http://dx.doi.org/10.30935/ijpdll/8342.

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Long, Chun-Ying, Yang Zhao, and Hossein Jafari. "Mathematical Models Arising in the Fractal Forest Gap via Local Fractional Calculus." Abstract and Applied Analysis 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/782393.

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The forest new gap models via local fractional calculus are investigated. The JABOWA and FORSKA models are extended to deal with the growth of individual trees defined on Cantor sets. The local fractional growth equations with local fractional derivative and difference are discussed. Our results are first attempted to show the key roles for the nondifferentiable growth of individual trees.
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Rchid Sidi Ammi, Moulay, and Mostafa Tahiri. "Analysis of the spread of COVID-19 in Morocco based on a SEIR epidemic model." General Letters in Mathematics 10, no. 2 (2021): 72–78. http://dx.doi.org/10.31559/glm2021.10.2.8.

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Fractional calculus has been widely used in mathematical modeling of evolutionary systems with memory effect on dynamics. In order to illustrate the efficiency of this non-integer order calculus, we employ SEIR models to model the dynamics, with and without memory, of the spread of Covid-19 in Morocco country.
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Roche, Ph. "Ocneanu cell calculus and integrable lattice models." Communications in Mathematical Physics 127, no. 2 (1990): 395–424. http://dx.doi.org/10.1007/bf02096764.

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Sutulo, Serge, and C. Guedes Soares. "ON APPLICABILITY OF MATHEMATICAL MODELS BASED ON FRACTIONAL CALCULUS TO SHIP DYNAMICS." IFAC Proceedings Volumes 43, no. 20 (2010): 190–95. http://dx.doi.org/10.3182/20100915-3-de-3008.00038.

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PYKACZ, JAROSŁAW, and BART D'HOOGHE. "BELL-TYPE INEQUALITIES IN FUZZY PROBABILITY CALCULUS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 09, no. 02 (2001): 263–75. http://dx.doi.org/10.1142/s021848850100079x.

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Bell-type inequalities, used in mathematical physics as a criterion to check whether a physical situation allows description in terms of classical (Kolmogorovian) or quantum probability calculus are applied to various fuzzy probability models. It occurs that the standard set of Bell-type inequalities does not allow to distinguish Kolmogorovian probabilities from fuzzy probabilities based on the most frequently used Zadeh intersection or probabilistic intersection, but it allows to distinguish all these models from fuzzy probability models based on Giles (Łukasiewicz) intersection. It is proved
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Story, Troy L. "Exterior Calculus: Thermodynamics and Navier-Stokes Dynamics." Advanced Materials Research 747 (August 2013): 761–64. http://dx.doi.org/10.4028/www.scientific.net/amr.747.761.

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Mathematical models of dynamics employing exterior calculus are shown to be mathematical representations of the same unifying principle; namely, the description of a dynamic system with a characteristic differential one-form on an odd-dimensional differentiable manifold leads, by analysis with exterior calculus to a set of differential equations and a characteristic tangent vector which define transformations of the system [1-4]. This principle, whose origin is V. I. Arnolds use of exterior calculus to describe Hamiltonian mechanics and geometric optics, is applied to irreversible thermodynami
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Bainy, Eduarda, Ervin Lenzi, Marcos Corazza, and Marcelo Lenzi. "Mathematical modeling of fish burger baking using fractional calculus." Thermal Science 21, no. 1 Part A (2017): 41–50. http://dx.doi.org/10.2298/tsci160422241b.

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Tilapia (Oreochromis sp.) is the most important and abundant fish species in Brazil due to its adaptability to different environments. The development of tilapia-based products could be an alternative in order to aggregate value and increase fish meat consumption. However, there is little information available on fishburger freezing and cooking in the literature. In this work, the mathematical modeling of the fish burger baking was studied. Previously to the baking process, the fishburgers were assembled in cylindrical shape of height equal to 8mm and diameter 100mm and then baked in an electr
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Tarasov, Vasily. "On History of Mathematical Economics: Application of Fractional Calculus." Mathematics 7, no. 6 (2019): 509. http://dx.doi.org/10.3390/math7060509.

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Modern economics was born in the Marginal revolution and the Keynesian revolution. These revolutions led to the emergence of fundamental concepts and methods in economic theory, which allow the use of differential and integral calculus to describe economic phenomena, effects, and processes. At the present moment the new revolution, which can be called “Memory revolution”, is actually taking place in modern economics. This revolution is intended to “cure amnesia” of modern economic theory, which is caused by the use of differential and integral operators of integer orders. In economics, the des
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Dissertations / Theses on the topic "Mathematical models. Calculus"

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Clemence, Robert D. "A type calculus for mathematical programming modeling languages." Thesis, Monterey, California : Naval Postgraduate School, 1990. http://handle.dtic.mil/100.2/ADA238160.

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Dissertation (Ph.D. in Operations Research)--Naval Postgraduate School, September 1990.<br>Dissertation supervisor: Bradley, Gordon H. "September 1990." Description based on title screen viewed on December 17, 2009. DTIC Descriptor(s): Mathematical models, sizes (dimensions), validation, models, programming languages, drug addiction, algebra, mathematical programming, language, junctions, calculus, homogeneity, integrated systems, mathematical logic. DTIC Identifier(s): Programming languages, mathematical models, calculus, linear programming. Author(s) subject terms: Data types, integrated mod
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Almusharrf, Amera. "Development of Fractional Trigonometry and an Application of Fractional Calculus to Pharmacokinetic Model." TopSCHOLAR®, 2011. http://digitalcommons.wku.edu/theses/1048.

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Fanelli, Francesco. "Mathematical analysis of models of non-homogeneous fluids and of hyperbolic equations with low regularity coefficients." Phd thesis, Université Paris-Est, 2012. http://tel.archives-ouvertes.fr/tel-00794508.

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The present thesis is devoted both to the study of strictly hyperbolic operators with low regularity coefficients and of the density-dependent incompressible Euler system. On the one hand, we show a priori estimates for a second order strictly hyperbolic operator whose highest order coefficients satisfy a log-Zygmund continuity condition in time and a log-Lipschitz continuity condition with respect to space. Such an estimate involves a time increasing loss of derivatives. Nevertheless, this is enough to recover well-posedness for the associated Cauchy problem in the space $H^infty$ (for suitab
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De, Marco Stefano. "On probability distributions of diffusions and financial models with non-globally smooth coefficients." Phd thesis, Université Paris-Est, 2010. http://tel.archives-ouvertes.fr/tel-00588686.

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Some recent works in the field of mathematical finance have brought new light on the importance of studying the regularity and the tail asymptotics of distributions for certain classes of diffusions with non-globally smooth coefficients. In this Ph.D. dissertation we deal with some issues in this framework. In a first part, we study the existence, smoothness and space asymptotics of densities for the solutions of stochastic differential equations assuming only local conditions on the coefficients of the equation. Our analysis is based on Malliavin calculus tools and on " tube estimates " for I
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Machado, Rosa Maria 1958. "A visualização na resolução de problemas de calculo diferencial e integral no ambiente computacional MPP." [s.n.], 2008. http://repositorio.unicamp.br/jspui/handle/REPOSIP/251984.

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Orientador: João Frederico da Costa Azevedo Meyer<br>Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Educação<br>Made available in DSpace on 2018-08-11T02:52:29Z (GMT). No. of bitstreams: 1 Machado_RosaMaria_D.pdf: 3367118 bytes, checksum: b77aa02d12be829dfb0764fd79481758 (MD5) Previous issue date: 2008<br>Resumo: São escassos os estudos a respeito da utilização da ferramenta computacional no ensino do Cálculo Diferencial e Integral nas universidades brasileiras. Contudo, em países como a Grã-Bretanha, Estados Unidos, Alemanha, México, Espanha, Colômbia e Venezuela, esses
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Forsan, Juliana Froes [UNESP]. "Estudo e aprofundamento de alguns modelos matemáticos apresentados no ensino médio." Universidade Estadual Paulista (UNESP), 2017. http://hdl.handle.net/11449/151705.

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Submitted by JULIANA FROES FORSAN (juliana_ff@hotmail.com) on 2017-09-24T22:08:30Z No. of bitstreams: 1 1_Juliana_Froes_Forsan_Dissertacao_Mestrado_Profmat.pdf: 48728620 bytes, checksum: ca33b6f6fe78c0be5e8eea5d84e2c681 (MD5)<br>Approved for entry into archive by Monique Sasaki (sayumi_sasaki@hotmail.com) on 2017-09-27T19:55:50Z (GMT) No. of bitstreams: 1 forsan_jf_me_rcla.pdf: 48728620 bytes, checksum: ca33b6f6fe78c0be5e8eea5d84e2c681 (MD5)<br>Made available in DSpace on 2017-09-27T19:55:50Z (GMT). No. of bitstreams: 1 forsan_jf_me_rcla.pdf: 48728620 bytes, checksum: ca33b6f6fe78c0be5e8ee
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Diepenveen, Emily. "Relational models of the lambda calculus." Thesis, University of Ottawa (Canada), 2008. http://hdl.handle.net/10393/27679.

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In [7], Ehrhard et al. present a model of the untyped lambda calculus built from an object without enough points in a cartesian closed category MRel. This thesis presents the background needed to construct and understand this model. In particular we describe what it means for models to have enough points and exhibit connections between MRel with various categorical models of lambda calculus in the literature. In particular, we are able to relate the graph model to MRel. We also describe connections with various kinds of Kleisli categories arising from comonads and their associated theory.
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Kalisz, Piotr. "On partial semigroup models for the Lambek calculus." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq29728.pdf.

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Beaulieu, Guy. "Finding presheaf models for the finite pi-calculus." Thesis, University of Ottawa (Canada), 2002. http://hdl.handle.net/10393/6206.

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This thesis provides a fully-abstract (set theoretical) model for the finite pi-calculus with respect to late-bisimulation and late-equivalence relations. This is achieved by amalgamating the works by M. P. Fiore, E. Moggi and D. Sangiorgi, and I. Stark. In their respective works the authors construct categorical models, and define a meta-language in which the finite pi-calculus can be interpreted. We discuss the general properties a categorical model should satisfy to be considered an appropriate model for the finite pi-calculus. In particular, I show that the categorical model based on the s
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Charoenphon, Sutthirut. "Green's Functions of Discrete Fractional Calculus Boundary Value Problems and an Application of Discrete Fractional Calculus to a Pharmacokinetic Model." TopSCHOLAR®, 2014. http://digitalcommons.wku.edu/theses/1327.

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Fractional calculus has been used as a research tool in the fields of pharmacology, biology, chemistry, and other areas [3]. The main purpose of this thesis is to calculate Green's functions of fractional difference equations, and to model problems in pharmacokinetics. We claim that the discrete fractional calculus yields the best prediction performance compared to the continuous fractional calculus in the application of a one-compartmental model of drug concentration. In Chapter 1, the Gamma function and its properties are discussed to establish a theoretical basis. Additionally, the basics o
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Books on the topic "Mathematical models. Calculus"

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Anton, Thalmaier, ed. Stochastic calculus of variations in mathematical finance. Springer, 2006.

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Elementary calculus of financial mathematics. Society for Industrial and Applied Mathematics, 2009.

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Human motivation and the dynamic calculus. Praeger, 1985.

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Human motivation and the dynamic calculus. Praeger, 1985.

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Chin, Eric. Problems and solutions in mathematical finance: Stochastic calculus. Wiley, 2014.

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Centre for Mathematical Sciences (Trivandrum, India), ed. Multivariable and matrix variable calculus and application: Stochastic models. Centre for Mathematical Sciences, South, Pala and Hill Area Campuses, 2010.

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Wiersema, Ubbo F. Brownian Motion Calculus. John Wiley & Sons, Ltd., 2008.

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Wiersema, Ubbo F. Brownian motion calculus. John Wiley & Sons, 2008.

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Financial statistics and mathematical finance: Methods, models and applications. Wiley, 2012.

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Bronson, Richard. Finite mathematics with calculus: A modeling approach. Brooks/Cole, 2000.

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Book chapters on the topic "Mathematical models. Calculus"

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Ben-Ari, Mordechai. "Propositional Calculus: Formulas, Models, Tableaux." In Mathematical Logic for Computer Science. Springer London, 2001. http://dx.doi.org/10.1007/978-1-4471-0335-6_2.

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Ben-Ari, Mordechai. "Predicate Calculus: Formulas, Models, Tableaux." In Mathematical Logic for Computer Science. Springer London, 2001. http://dx.doi.org/10.1007/978-1-4471-0335-6_5.

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Kallsen, Jan. "A Didactic Note on Affine Stochastic Volatility Models." In From Stochastic Calculus to Mathematical Finance. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-30788-4_18.

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Klüppelberg, Claudia, Alexander Lindner, and Ross Maller. "Continuous Time Volatility Modelling: COGARCH versus Ornstein–Uhlenbeck Models." In From Stochastic Calculus to Mathematical Finance. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-30788-4_21.

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Gasbarra, Dario, Esko Valkeila, and Lioudmila Vostrikova. "Enlargement of Filtration and Additional Information in Pricing Models: Bayesian Approach." In From Stochastic Calculus to Mathematical Finance. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-30788-4_13.

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Résonyi, Miklós, and Lukasz Stettner. "On the Existence of Optimal Portfolios for the Utility Maximization Problem in Discrete Time Financial Market Models." In From Stochastic Calculus to Mathematical Finance. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-30788-4_29.

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Owolabi, Kolade M., and Abdon Atangana. "Mathematical Modelling and Analysis of Fractional Epidemic Models Using Derivative with Exponential Kernel." In Fractional Calculus in Medical and Health Science. CRC Press, 2020. http://dx.doi.org/10.1201/9780429340567-4.

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Ahman, Danel, and Andrej Bauer. "Runners in Action." In Programming Languages and Systems. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44914-8_2.

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AbstractRunners of algebraic effects, also known as comodels, provide a mathematical model of resource management. We show that they also give rise to a programming concept that models top-level external resources, as well as allows programmers to modularly define their own intermediate “virtual machines”. We capture the core ideas of programming with runners in an equational calculus $$\lambda _{\mathsf {coop}}$$ λ coop , which we equip with a sound and coherent denotational semantics that guarantees the linear use of resources and execution of finalisation code. We accompany $$\lambda _{\mathsf {coop}}$$ λ coop with examples of runners in action, provide a prototype language implementation in OCaml, as well as a Haskell library based on $$\lambda _{\mathsf {coop}}$$ λ coop .
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Hackl, Christoph. "Foundations of Mathematical Finance and Stochastic Calculus." In Calibration and Parameterization Methods for the Libor Market Model. Springer Fachmedien Wiesbaden, 2013. http://dx.doi.org/10.1007/978-3-658-04688-0_2.

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Bucciarelli, Antonio, and Antonino Salibra. "The Minimal Graph Model of Lambda Calculus." In Mathematical Foundations of Computer Science 2003. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-45138-9_24.

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Conference papers on the topic "Mathematical models. Calculus"

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Huang, Jiacai, YangQuan Chen, and Zhuo Li. "Mathematical Model of Human Operator Using Fractional Calculus for Human-in-the-Loop Control." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-47464.

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Mathematical models of human operator play a very important role in the Human-in-the-Loop manual control system. For several decades, modeling human operator’s dynamic has been an active research area. The traditional classical human operator models are usually developed using the Quasi-linear transfer function method, the optimal control theory method, and so on. The human operator models established by the above methods have deficiencies such as complicated and over parameterized, even for basic control elements. In this paper, based on the characteristics of human brain and behaviour, two k
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Brunetto, Domenico, Clelia Marchionna, and Elisabetta Repossi. "Supporting deep understanding with emerging technologies in a STEM university math class." In Sixth International Conference on Higher Education Advances. Universitat Politècnica de València, 2020. http://dx.doi.org/10.4995/head20.2020.11109.

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In this work we present an innovative learning environment format, based on student-centred activities, that may support undergraduate students to deep understanding mathematics in the first year of engineering university. In particular, we refer to the difficulties students meet in the transition from the high school mathematics to the one they meet at university, which requires a significant shift to conceptual understanding, especially in Calculus courses. The goal of this presentation is to investigate the case of multivariable functions, a topic at the foundation of many mathematical mode
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Marti´n, Rodolfo, Jose J. Quintana, Alejandro Ramos, and Ignacio de la Nuez. "Modeling of Electrochemical Double Layer Capacitors by Means of Fractional Impedance." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35235.

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The application of the fractional calculus for modeling electrochemical double layer capacitors is a novel way to get simpler and precise models. By means of the method of impedance spectroscopy, experimental results for different values of these have been obtained. In this paper several classical mathematical models are studied and a different method is introduced in order to get a model from electrochemical double layer capacitors. This method is based on distinct models with fractional elements and the fitted of experimental data is realized with few parameters and minimal error. Finally, i
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Abu-Alshaikh, Ibrahim, Anas N. Al-Rabadi, and Hashem S. Alkhaldi. "Dynamic Response of a Beam With Absorber Exposed to a Running Force: Fractional Calculus Approach." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-93178.

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This paper analyzes the transverse vibration of Bernoulli-Euler homogeneous isotropic simply-supported beam. The beam is assumed to be fractionally-damped and attached to a single-degree-of-freedom (SDOF) absorber with fractionally-damping behavior at the mid-span of the beam. The beam is also exposed to a running force with constant velocity. The fractional calculus is introduced to model the damping characteristics of both the beam and absorber. The Laplace transform accompanied by the used decomposition method is applied to solve the handled problem with homogenous initial conditions. Subse
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Yamada, Takashi, and Matthew Howard. "Online Parameter Estimation of Hydraulic System Based on Stochastic Gradient Descent." In BATH/ASME 2020 Symposium on Fluid Power and Motion Control. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/fpmc2020-2765.

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Abstract In this paper, offline and online parameter estimation methods for hydraulic systems based on stochastic gradient descent are presented. In contrast to conventional approaches, the proposed methods can estimate any parameter in mathematical models based on multi-step prediction error. These advantages are achieved by calculating the gradient of the multi-step error against the estimated parameters using Lagrange multipliers and the calculus of variations, and by forming differentiable models of hydraulic systems. In experiments on a physical hydraulic system, the proposed methods with
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Wang, Wei. "Teaching of Mathematical Analysis or Calculus Based on the Thinking of Calculus." In 6th International Conference on Education Reform and Modern Management (ERMM 2021). Atlantis Press, 2021. http://dx.doi.org/10.2991/assehr.k.210513.027.

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Skwara, Urszula, José Martins, Peyman Ghaffari, Maíra Aguiar, João Boto, and Nico Stollenwerk. "Applications of fractional calculus to epidemiological models." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756403.

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ElShahed, Moustafa. "A Fractional Calculus Model of Semilunar Heart Valve Vibrations." In Proceedings of the Fifth International Mathematica Symposium. PUBLISHED BY IMPERIAL COLLEGE PRESS AND DISTRIBUTED BY WORLD SCIENTIFIC PUBLISHING CO., 2003. http://dx.doi.org/10.1142/9781848161313_0008.

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Johnson, Duval A. "Simulation and Analysis of a Fractionally Controlled Active Suspension System Using Quarter Car Model." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46190.

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This study is conducted to provide preliminary data that fractional calculus can be used to optimize active automobile suspension systems. Most automobile suspension systems perform their duties using a single spring with fixed damping rates and are referred to as being a passive system. An active suspension system has the ability to directly control force actuators in the suspension system or by varying the damping rates within the shock absorbers to provide control over body position, velocity, and acceleration. A mathematical model for a quarter car suspension system has been obtained to co
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Xiong, Ke, Zheng-ding Qiu, Yu Zhang, Ya-juan Qin, and Hong-ke Zhang. "A mathematical QoS model for multimedia flows on the basis of network calculus." In 2009 ISECS International Colloquium on Computing, Communication, Control, and Management (CCCM). IEEE, 2009. http://dx.doi.org/10.1109/cccm.2009.5270405.

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