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Mathematical Modelling, Applied Analysis and Computation de Jagdev Singh

Mathematical Modelling, Applied Analysis and Computation

Editat de Jagdev Singh, Devendra Kumar, Hemen Dutta, Dumitru Baleanu, Sunil Dutt Purohit
en Limba Engleză Paperback – 2 sep 2020

Evoluția recentă a matematicii aplicate reflectă o tranziție clară de la modelele liniare simple către sisteme complexe, hibride, capabile să descrie fenomene biologice, financiare sau inginerești cu o precizie sporită. Mathematical Modelling, Applied Analysis and Computation surprinde acest progres prin integrarea unor tehnici numerice moderne în analiza sistemelor dinamice. Subliniem modul în care lucrarea reușește să pună în dialog teoria pură, precum studiul operatorilor în spații Banach descris în primele capitole, cu aplicații practice în ingineria civilă și științele sociale. Structura celor 20 de capitole urmează o progresie logică, pornind de la fundamentări teoretice ale funcțiilor Cauchy și stabilitatea ecuațiilor integro-diferențiale, către soluții specifice pentru sistemele Bloch neliniare. Ne-a atras atenția în mod deosebit utilizarea operatorilor fracționari, o temă recurentă în opera editorilor Jagdev Singh și Dumitru Baleanu, care completează cercetările lor anterioare din Advanced Numerical Methods for Differential Equations și Fractional Calculus in Medical and Health Science. Această ediție din 2019 servește ca o alternativă solidă la Mathematical Analysis and Applications in Modeling de Priti Kumar Roy pentru cursurile de matematică aplicată, având avantajul unei acoperiri mai largi a sistemelor stochastice și hibride, precum și a integrării rețelelor Petri în modelarea sistemelor dinamice. Reținem efortul colaborativ internațional care transformă această colecție de lucrări într-un instrument de lucru actualizat pentru cercetătorii care caută metode numerice eficiente pentru probleme neliniare complexe.

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Specificații

ISBN-13: 9789811396106
ISBN-10: 9811396108
Pagini: 332
Ilustrații: XVII, 311 p. 64 illus., 43 illus. in color.
Dimensiuni: 155 x 235 x 17 mm
Greutate: 0.58 kg
Ediția:1st ed. 2019
Editura: Springer
Locul publicării:Singapore, Singapore

De ce să citești această carte

Această lucrare este esențială pentru cercetătorii și studenții la master sau doctorat care doresc să stăpânească metode numerice avansate. Oferă un spectru larg de aplicații, de la biologie la finanțe, și introduce tehnici de ultimă oră în calculul fracționar și sistemele stochastice. Este un resursă practică pentru oricine dezvoltă modele matematice pentru fenomene complexe din lumea reală.

Despre autor

Echipa de editori, condusă de specialiști precum Jagdev Singh și Dumitru Baleanu, reprezintă o autoritate în domeniul analizei aplicate și al calculului fracționar. Jagdev Singh este recunoscut pentru contribuțiile sale în modelarea sistemelor complexe, publicând anterior lucrări de referință despre metodele numerice pentru ecuații diferențiale. Dumitru Baleanu este un cercetător prolific în domeniul calculului fracționar și al dinamicii neliniare, aducând o perspectivă riguroasă asupra stabilității sistemelor. Colaborarea lor în cadrul acestui volum de la Springer reflectă o preocupare constantă pentru aplicarea matematicii în rezolvarea problemelor contemporane de inginerie și sănătate.

Descriere scurtă

This book contains original research papers presented at the International Conference on Mathematical Modelling, Applied Analysis and Computation, held at JECRC University, Jaipur, India, on 6-8 July, 2018. Organized into 20 chapters, the book focuses on theoretical and applied aspects of various types of mathematical modelling such as equations of various types, fuzzy mathematical models, automata, Petri nets and bond graphs for systems of dynamic nature and the usage of numerical techniques in handling modern problems of science, engineering and finance. It covers the applications of mathematical modelling in physics, chemistry, biology, mechanical engineering, civil engineering, computer science, social science and finance. A wide variety of dynamical systems like deterministic, stochastic, continuous, discrete or hybrid, with respect to time, are discussed in the book. It provides the mathematical modelling of various problems arising in science and engineering, and alsonew efficient numerical approaches for solving linear and nonlinear problems and rigorous mathematical theories, which can be used to analyze a different kind of mathematical models.
The conference was aimed at fostering cooperation among students and researchers in areas of applied analysis, engineering and computation with the deliberations to inculcate new research ideas in their relevant fields. This volume will provide a comprehensive introduction to recent theories and applications of mathematical modelling and numerical simulation, which will be a valuable resource for graduate students and researchers of mathematical modelling and industrial mathematics.

Cuprins

I. Cho, Certain Banach-Space operators acting on the semicircular elements induced by orthogonal projections.- Feng Qi, Explicit expressions related to degenerate Cauchy numbers and their generating function.- S. K. Paikray, Statistical deferred riesz summability mean and associated approximation theorems for trigonometric functions.- G. Uysal, On pointwise convergence of a family of nonlinear integral operators.- M. Malik, Existence and Ulam's type Stability of Integro Differential Equation with Non-instantaneous Impulses and Periodic Boundary Condition.- J. C. Prajapati, Introduction to Class of Uniformly Fractional Differentiable Functions.- S.Abbas, Asymptotically almost automorphic solution for neutral functional integro evolution equations on time scales.- M. Jain, An Integral Relation associated with a General Class of Polynomials and the Aleph Function.- J.F. Gomez-Aguilar, On the new fractional operator and application to nonlinear Bloch system.- S.D. Purohit, Fractional order integration and certain integrals of generalized multiindex Bessel function.- A. Prakash, Fractional variational iteration method for time fractional fourth-order Diffusion-Wave equation.- R. K. Bairwa, Analytical approach to fractional Navier-Stokes equations by Iterative Laplace Transform  method.- S. Jain, Biological model of dengue spread with non-markovian properties.- A. Razaa, Approximate Solution of Higher Order Two Point Boundary Value Problems Using Uniform Haar Wavelet Collocation.- V. D. Joshi, Solving multi-objective fractional transportation problem.- H. M. Baskonus, On the Dark and Bright Solitons to the Negative-Order Breaking Soliton Model with (2+1)-dimensional.- K. M. Saad, A reliable analytical algorithm for cubic isothermal auto-catalytic chemical system.- Y. Singh, Numerical Study of Effects of Adrenal Hormones on Lymphocytes.- E. Bonyah, Mathematical Modelling of Poor Nutrition in the Human Life Cycle.- Z. Hammouch, Impact of homogeneous heterogeneous reaction on stagnation point flow of Walters' B  fluid with Newtonian heating under the statistical paradigm.


Notă biografică

JAGDEV SINGH is Associate Professor and Head of the Department of Mathematics, JECRC University, Jaipur, India. He earned his PhD in mathematics from the University of Rajasthan, India. He is a member of editorial board of various journals of mathematics and has published three books and over 118 research papers in journals of repute with h-index of 27. He has research interests in mathematical modelling, special functions, fractional calculus, fluid dynamics, analytical and numerical methods.
DEVENDRA KUMAR is Associate Professor at the Department of Mathematics, University of Rajasthan, Jaipur, India. He earned his PhD in mathematics from University of Rajasthan, India. With h-index of 26, he is a member of editorial board of various journals of mathematics and has published two books and 121 research papers in journals of repute. He has research interests in mathematical modelling, special functions, fractional calculus, applied functional analysis, nonlinear dynamics, analytical and numerical methods.
HEMEN DUTTA is Assistant Professor at the Department of Mathematics, Gauhati University, India. He obtained his PhD in mathematics from Gauhati University. He has published four books and over 60 research papers in several journals of repute, and visited several foreign institutions in connection with research collaboration and conferences. He is a member on the editorial board of several journals of repute and a reviewer for some databases and journals of mathematics. He is a member of several mathematical societies and served as joint secretary (honorary) of the Assam Academy of Mathematics for two years. His main research interests are summability theory, functional equations, stability analysis, fixed point theory and modelling.

DUMITRU BALEANU is Professor at the Department of Mathematics, Cankaya University, Ankara, Turkey, and Institute of Space Sciences, Magurele-Bucharest, Romania. He is Editor-in-Chief of the Progress ofFractional Differentiation and Applications and on the editorial boards of several journals of repute. With h-index of 46, Dumitru has received more than 8000 citations in journals covered by SCI. He was on the Thompson Reuter list of highly cited researchers in 2015, 2016, 2017 and 2018. He has published more than 600 research papers in SCI-indexed journals and edited six books out of which five are published by Springer namely Fractional Dynamics and Control, Nonlinear and Complex Dynamics, Mathematical Methods in Engineering: Applications in Dynamics of Complex Systems, Discontinuity and Complexity in Nonlinear Physical Systems, and Mathematical Methods in Engineering: Theoretical Aspects. His research interest includes fractional calculus, discrete mathematics, quantisation of the systems with constraints, Hamilton–Jacobi formalism, geometries admitting generic and non-generic symmetries, chemometric techniques, wavelet method, and dynamic systems on time scales.

SUNIL DUTT PUROHIT is Associate Professor at the Department of Mathematics, Rajasthan Technical University, Kota, India. He earned his PhD in Mathematics from Jai Narayan Vyas University, Jodhpur, India. Currently, he is general-secretary of the Rajasthan Ganita Parishad and a member of several mathematical societies like Indian Mathematical Society, Indian Science Congress Association, the Indian Academy of Mathematics, the Society for Special Functions and their Applications, American Mathematical Society, and the International Association of Engineers. He has published two books and over 110 research papers in several journals of repute and is on the editorial board of various reputed journals. His research interests include mathematical analysis and modelling.


Caracteristici

Features articles on recent theories and applications of mathematical modelling and numerical simulation Provides new and efficient numerical approaches for solving linear and nonlinear problems Contains interdisciplinary approaches to mathematical modelling and its applications