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Mathematical Modelling, Optimization, Analytic and Numerical Solutions de Pammy Manchanda

Mathematical Modelling, Optimization, Analytic and Numerical Solutions

Editat de Pammy Manchanda, René Pierre Lozi, Abul Hasan Siddiqi
en Limba Engleză Paperback – 5 feb 2021

Prin volumul Mathematical Modelling, Optimization, Analytic and Numerical Solutions, editorii propun o incursiune riguroasă în aplicabilitatea matematicii industriale, debutând cu aplicații practice imediate. Putem observa în cuprins studii de caz extrem de specifice, de la modelarea matematică a tratamentului pentru psoriazis prin strategii de control impulsiv, până la simulări numerice ale depunerii particulelor în conductele alveolare permeabile. Această orientare către rezolvarea unor probleme concrete de biologie medicală, ecologie și inginerie definește întreaga structură a lucrării.

Cartea este organizată în 11 capitole tehnice ce reflectă contribuțiile prezentate la conferința ISIAM din Amritsar. Structura urmărește o progresie de la concepte teoretice de proximitate în spații abstracte către soluții numerice pentru ecuații complexe, precum ecuația Korteweg–de Vries sau legile de conservare scalară. Merită menționat că volumul nu se limitează la teorie, ci integrează metode de calcul lingvistic și modele pentru sistemele terestre, oferind o perspectivă multidisciplinară asupra matematicii aplicate.

Cititorii familiarizați cu Mathematical Analysis and Applications in Modeling de Priti Kumar Roy vor aprecia aici accentul pus pe metodele wavelet și transformările integrale fracționare, instrumente esențiale pentru procesarea semnalelor și tomografia optică difuză. În contextul operei editorului Pammy Manchanda, acest titlu continuă direcția stabilită în Industrial Mathematics and Complex Systems, însă aduce un plus de noutate prin includerea cercetărilor asupra dinamicii recifelor de corali și a co-infecției HIV-TB. Credem că această ediție reprezintă o resursă vitală pentru cercetătorii care caută să aplice rigoarea matematică în domenii precum meteorologia sau industria extractivă.

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Specificații

ISBN-13: 9789811509308
ISBN-10: 9811509301
Pagini: 444
Ilustrații: XVI, 426 p. 108 illus., 80 illus. in color.
Dimensiuni: 155 x 235 x 23 mm
Greutate: 0.76 kg
Ediția:1st ed. 2020
Editura: Springer
Locul publicării:Singapore, Singapore

De ce să citești această carte

Această lucrare este esențială pentru cercetătorii și studenții la doctorat care doresc să înțeleagă cum matematica avansată rezolvă crize reale în medicină și protecția mediului. Cititorul câștigă acces la metodologii de ultimă oră în optimizare și modelare numerică, aplicabile direct în cercetarea industrială sau academică, oferind un avantaj competitiv în analiza sistemelor complexe.

Despre autor

Pammy Manchanda este un reputat academician și editor, cunoscut pentru contribuțiile sale semnificative în domeniul matematicii industriale. Activitatea sa se concentrează pe fuziunea dintre analiza matematică și aplicațiile practice, fiind implicată activ în structurarea forumurilor internaționale de profil, precum conferințele ISIAM. Printre lucrările sale de referință se numără Construction of Wavelets Through Walsh Functions și Calculus for Scientists and Engineers, volume care demonstrează capacitatea sa de a sintetiza concepte abstracte pentru utilizarea lor în inginerie și științe aplicate. În prezentul volum, ea colaborează cu René Pierre Lozi și Abul Hasan Siddiqi pentru a aduce în prim-plan cele mai noi tehnici de modelare și optimizare.

Descriere scurtă

This book discusses a variety of topics related to industrial and applied mathematics, focusing on wavelet theory, sampling theorems, inverse problems and their applications, partial differential equations as a model of real-world problems, computational linguistics, mathematical models and methods for meteorology, earth systems, environmental and medical science, and the oil industry. It features papers presented at the International Conference in Conjunction with 14th Biennial Conference of ISIAM, held at Guru Nanak Dev University, Amritsar, India, on 2–4 February 2018. The conference has emerged as an influential forum, bringing together prominent academic scientists, experts from industry, and researchers. The topics discussed include Schrodinger operators, quantum kinetic equations and their application, extensions of fractional integral transforms, electrical impedance tomography, diffuse optical tomography, Galerkin method by using wavelets, a Cauchy problem associated with Korteweg–de Vries equation, and entropy solution for scalar conservation laws. This book motivates and inspires young researchers in the fields of industrial and applied mathematics.

Cuprins

Chapter 1. Mathematical Study of Psoriasis Treatment by Interleukin 10 Through Impulsive Control Strategy.- Chapter 2. Multigrid Methods for the Simulations of Surfactant.- Chapter 3. Spreading on a Thin Liquid Film.- Chapter 4. Proximinality and Remotality in Abstract Spaces.- Chapter 5. Hopf bifurcation in a mathematical model of tuberculosis with delay.- Chapter 6. Numerical simulation of cable equation using Differential quadrature method.- Chapter 7. Numerical Simulation of Dusty Air Flow and Particle Deposition Inside Permeable Alveolar Duct.- Chapter 8. Size- Biased Poisson-Ishita Distribution And Its Applications To Thunderstorm Events.- Chapter 9. Resilience and dynamics of coral reefs impacted by chemically rich seaweeds and unsustainable fishing stability of fractional volterra integrodiff eqns.- Chapter 10. On Fractional Partial Differential Equations of Diffusion Type with Integral Kernel.- Chapter 11. Mathematical Study on Human Cells Interaction Dynamics for HIV-TB Co-infection.- Chapter 12. Controllability of Nonlinear Fractional Damped Delay Systems with Multiple Delays in Control.- Chapter 13. Existence and stability results for stochastic fractional delay differential equations with Gaussian noise.- Chapter 14. A Graphical User Interface based Fingerprint Recognition.- Chapter 15. Bicomplex Matrix Semigroups.- Chapter 16. Mixed-Integer Optimal Control For Pdes: Relaxation Via Differential Inclusions And Applications To Gas Network Optimization.- Chapter 17. Schrödinger operators with a switching effect.- Chapter 18. Distribution Theory by Riemann Integrals.- Chapter 19. Wavelet Galerkin Methods for Higher OrderPartial Differential Equations.- Chapter 20. Critical growth elliptic problems with Choquard type non linearity.- Chapter 21. A New Model For Transient Flow In Gas Transportation Networks.- Chapter 22. Partial differential equations on metric graphs: A survey of.- Chapter 23. Wavelet-Neural-Fuzzy Coupled Modeling of National Stock Exchange (NSE) for Opening and Closing Stock.- Chapter 24. Topological analysis of a weighted human behavior model coupled on a streets and places network in the context of urban terrorist attack.

Notă biografică

PAMMY MANCHANDA is Professor at the Department of Mathematics Guru Nanak Dev University, Amristar. Professor Manchanda has published more than 50 research papers in several international journals of repute, edited 4 proceedings volumes for international conferences of the Indian Society of Industrial and Applied Mathematics (ISIAM) and co-authored 4 books. She has attended, delivered talks and chaired sessions at reputed academic conferences and workshops across the world, including International Council of Industrial and Applied Mathematics (ICIAM) from 1999 to 2019 and the International Congress of Mathematicians (ICM) since 2002. She is the managing editor of the Indian Journal of Industrial and Applied Mathematics and a member of the editorial board of the Springer book series, Industrial and Applied Mathematics. She was invited twice to the Industrial Mathematics Group of Prof. Helmut Neunzert at Kaiserslautern University, Germany, and has visited the International Center for Theoretical Physics (UNESCO institution) at Trieste, Italy, several times to carry out research activities. She has been joint secretary of ISIAM from 1999–2016, and is currently secretary of the society. She is ISIAM representative in the International Council of Industrial and Applied Mathematics (ICIAM). She has been actively engaged in the organization of international conferences by the ISIAM and was joint convener, Satellite Conference of ICM, during 15–17 August 2010, New Delhi, India.
René Lozi is Professor at the Dieudonné Center of Mathematics, University of Nice, France. In 1991, he became Full Professor at the University of Nice and the Institute for Teacher Trainees (IUFM), France. He served as Director of IUFM during 2001–2006 and as Vice-Chairman of the French Board of Directors of IUFM during 2004–2006. He completed his French state thesis on chaotic dynamical systems under the supervision of Prof. René Thom, a Fields Medalist,in 1983. Professor Lozi currently serves on the editorial boards of respected international journals. In 1977, he discovered a particular mapping of the plane having a strange attractor (now classically known as “Lozi map”). Today, his research areas include complexity and emergence theory, dynamical systems, bifurcation, control of chaos, cryptography-based chaos, and memristors (a physical device for neuro-computing).
 Abul Hasan Siddiqi is Professor Emeritus and a distinguished scientist at the School of Basic Sciences and Research, Sharda University, Greater Noida, India. Professor Siddiqi has held several important administrative positions, such as Chairman of the Department of Mathematics, Dean of the Faculty of Science, and Pro-Vice-Chancellor of Aligarh Muslim University, India. He has been actively associated with the International Centre for Theoretical Physics, Trieste, Italy (UNESCO organization), in different capacities for more than 20 years. He served as Professor of Mathematics at the King Fahd University of Petroleum and Minerals (KFUPM), Saudi Arabia, for 10 years; and a consultant to Sultan Qaboos University, Oman; Istanbul Aydin University, Turkey; and the Institute of Microelectronics, Malaysia. He was awarded the German Academic Exchange Service (DAAD) Fellowship thrice to pursue mathematical research in Germany. He has jointly published more than 100 research papers with his research collaborators, 5 books, and edited proceedings of 9 international conferences. He is Founder Secretary of the Indian Society of Industrial and Applied Mathematics (ISIAM) and Editor-in-Chief of the Indian Journal of Industrial and Applied Mathematics, published by the ISIAM, and  the Springer book series, Industrial and Applied Mathematics. He has recently been elected as President of ISIAM, which represents India at the apex forum of industrial and applied mathematics—ICIAM.

Caracteristici

Includes high-quality, peer-reviewed chapters on a variety of topics of industrial and applied mathematics Features broadly related topics on optimization and control of hyperbolic balance laws, and partial differential equations Serves as a source of inspiration for a broad spectrum of researchers in the fields of industrial and applied mathematics