Mathematical Analysis For Modeling

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Mathematical Analysis For Modeling
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Author : Judah Rosenblatt
language : en
Publisher: CRC-Press
Release Date : 1999-01-01
Mathematical Analysis For Modeling written by Judah Rosenblatt and has been published by CRC-Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Mathematics categories.
Mathematical Analysis for Modeling provides you with better comprehension of how mathematics is developed for, and applies to, solving scientific and engineering problems. The author stresses developing mathematical descriptions of scientific and engineering situations, rather than rote memorization of proofs and formulas. Emphasis is placed on algorithms as solutions to problems, and on insight rather than on formal derivations. This book is for those who intend to conduct research in areas of science requiring the use and understanding of a substantial amount of mathematics, but who may not be well-versed in such applications.
Mathematical Analysis For Modeling
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Author : Judah Rosenblatt
language : en
Publisher: CRC Press
Release Date : 1998-12-28
Mathematical Analysis For Modeling written by Judah Rosenblatt and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-28 with Mathematics categories.
Mathematical Analysis for Modeling is intended for those who want to understand the substance of mathematics, rather than just having familiarity with its techniques. It provides a thorough understanding of how mathematics is developed for and applies to solving scientific and engineering problems. The authors stress the construction of mathematical descriptions of scientific and engineering situations, rather than rote memorizations of proofs and formulas. Emphasis is placed on algorithms as solutions to problems and on insight rather than formal derivations.
Mathematical Analysis And Applications In Modeling
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Author : Priti Kumar Roy
language : en
Publisher: Springer Nature
Release Date : 2020-03-10
Mathematical Analysis And Applications In Modeling written by Priti Kumar Roy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-10 with Mathematics categories.
This book collects select papers presented at the “International Conference on Mathematical Analysis and Application in Modeling,” held at Jadavpur University, Kolkata, India, on 9–12 January 2018. It discusses new results in cutting-edge areas of several branches of mathematics and applications, including analysis, topology, dynamical systems (nonlinear, topological), mathematical modeling, optimization and mathematical biology. The conference has emerged as a powerful forum, bringing together leading academics, industry experts and researchers, and offering them a venue to discuss, interact and collaborate in order to stimulate the advancement of mathematics and its industrial applications.
Mathematical Models And Their Analysis
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Author : Frederick Y. M. Wan
language : en
Publisher: SIAM
Release Date : 2018-03-20
Mathematical Models And Their Analysis written by Frederick Y. M. Wan and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-20 with Computers categories.
A great deal can be learned through modeling and mathematical analysis about real-life phenomena, even before numerical simulations are used to accurately portray the specific configuration of a situation. Scientific computing also becomes more effective and efficient if it is preceded by some preliminary analysis. These important advantages of mathematical modeling are demonstrated by models of historical importance in an easily understandable way. The organization of Mathematical Models and Their Analysis groups models by the issues that need to be addressed about the phenomena. The new approach shows how mathematics effective for one modeled phenomenon can be used to analyze another unrelated problem. For instance, the mathematics of differential equations useful in understanding the classical physics of planetary models, fluid motion, and heat conduction is also applicable to the seemingly unrelated phenomena of traffic flow and congestion, offshore sovereignty, and regulation of overfishing and deforestation. The formulation and in-depth analysis of these and other models on modern social issues, such as the management of exhaustible and renewable resources in response to consumption demands and economic growth, are of increasing concern to students and researchers of our time. The modeling of current social issues typically starts with a simple but meaningful model that may not capture all the important elements of the phenomenon. Predictions extracted from such a model may be informative but not compatible with all known observations; so the model may require improvements. The cycle of model formulation, analysis, interpretation, and assessment is made explicit for the modeler to repeat until a model is validated by consistency with all known facts.
Mathematical Analysis Of Groundwater Flow Models
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Author : Abdon Atangana
language : en
Publisher: CRC Press
Release Date : 2022-03-22
Mathematical Analysis Of Groundwater Flow Models written by Abdon Atangana and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-22 with Technology & Engineering categories.
This book provides comprehensive analysis of a number of groundwater issues, ranging from flow to pollution problems. Several scenarios are considered throughout, including flow in leaky, unconfined, and confined geological formations, crossover flow behavior from confined to confined, to semi-confined to unconfined and groundwater pollution in dual media. Several mathematical concepts are employed to include into the mathematical models’ complexities of the geological formation, including classical differential operators, fractional derivatives and integral operators, fractal mapping, randomness, piecewise differential, and integral operators. It suggests several new and modified models to better predict anomalous behaviours of the flow and movement of pollution within complex geological formations. Numerous mathematical techniques are employed to ensure that all suggested models are well-suited, and different techniques including analytical methods and numerical methods are used to derive exact and numerical solutions of different groundwater models. Features: Includes modified numerical and analytical methods for solving new and modified models for groundwater flow and transport Presents new flow and transform models for groundwater transport in complex geological formations Examines fractal and crossover behaviors and their mathematical formulations Mathematical Analysis of Groundwater Flow Models serves as a valuable resource for graduate and PhD students as well as researchers working within the field of groundwater modeling.
Mathematical Analysis And Applications In Biological Phenomena Through Modelling
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Author : Priti Kumar Roy
language : en
Publisher: Springer Nature
Release Date : 2025-02-01
Mathematical Analysis And Applications In Biological Phenomena Through Modelling written by Priti Kumar Roy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-01 with Mathematics categories.
This volume presents a comprehensive compilation of chapters whose topics were presented at the 2nd International Conference on Mathematical Analysis and Application in Modeling (CMAAM-2023), held at the Department of Mathematics & the Center for Mathematical Biology and Ecology, Jadavpur University, Kolkata, West Bengal, India, from 9–11 October 2023. It encompasses groundbreaking research on cutting-edge developments across various branches of mathematics and its applications in diverse disciplines. In the realm of epidemiology, the book delves into the utilization of advanced tools such as fractional calculus, optimal control therapy and impulse therapeutic approaches. These tools, integrated with mathematical models, offer innovative solutions for managing various diseases and optimizing drug dose regimens. Beyond the scope of epidemiology, the book also incorporates chapters elucidating fundamental concepts in pure mathematics. These include explorations of topological phenomena and diverse algebraic concepts. This dual focus on applied mathematics and pure mathematical principles enhances the book's usability, catering to a broad audience of researchers and scholars. The book primarily targets young researchers engaged in the specified areas of study. By bridging the gap between theoretical mathematics and real-world applications, it serves a valuable resource, providing insights and methodologies that contribute to advancements in research and application across multiple disciplines.
Mathematical Analysis And Simulation Of Field Models In Accelerator Circuits
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Author : Idoia Cortes Garcia
language : en
Publisher: Springer Nature
Release Date : 2021-01-04
Mathematical Analysis And Simulation Of Field Models In Accelerator Circuits written by Idoia Cortes Garcia and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-04 with Technology & Engineering categories.
This book deals with the analysis and development of numerical methods for the time-domain analysis of multiphysical effects in superconducting circuits of particle accelerator magnets. An important challenge is the simulation of “quenching”, i.e. the transition of a material from the superconducting to the normally electrically conductive state. The book analyses complex mathematical structures and presents models to simulate such quenching events in the context of generalized circuit elements. Furthermore, it proposes efficient parallelized algorithms with guaranteed convergence properties for the simulation of multiphysical problems. Spanning from theoretical concepts to applied research, and featuring rigorous mathematical presentations on one side, as well as simplified explanations of many complex issues, on the other side, this book provides graduate students and researchers with a comprehensive introduction on the state of the art and a source of inspiration for future research. Moreover, the proposed concepts and methods can be extended to the simulation of multiphysical phenomena in different application contexts.
Issues In Calculus Mathematical Analysis And Nonlinear Research 2011 Edition
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Author :
language : en
Publisher: ScholarlyEditions
Release Date : 2012-01-09
Issues In Calculus Mathematical Analysis And Nonlinear Research 2011 Edition written by and has been published by ScholarlyEditions this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-09 with Mathematics categories.
Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Calculus, Mathematical Analysis, and Nonlinear Research. The editors have built Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Calculus, Mathematical Analysis, and Nonlinear Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Mathematical Analysis Of Infectious Diseases
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Author : Praveen Agarwal
language : en
Publisher: Academic Press
Release Date : 2022-06-01
Mathematical Analysis Of Infectious Diseases written by Praveen Agarwal and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Science categories.
Mathematical Analysis of Infectious Diseases updates on the mathematical and epidemiological analysis of infectious diseases. Epidemic mathematical modeling and analysis is important, not only to understand disease progression, but also to provide predictions about the evolution of disease. One of the main focuses of the book is the transmission dynamics of the infectious diseases like COVID-19 and the intervention strategies. It also discusses optimal control strategies like vaccination and plasma transfusion and their potential effectiveness on infections using compartmental and mathematical models in epidemiology like SI, SIR, SICA, and SEIR. The book also covers topics like: biodynamic hypothesis and its application for the mathematical modeling of biological growth and the analysis of infectious diseases, mathematical modeling and analysis of diagnosis rate effects and prediction of viruses, data-driven graphical analysis of epidemic trends, dynamic simulation and scenario analysis of the spread of diseases, and the systematic review of the mathematical modeling of infectious disease like coronaviruses. - Offers analytical and numerical techniques for virus models - Discusses mathematical modeling and its applications in treating infectious diseases or analyzing their spreading rates - Covers the application of differential equations for analyzing disease problems - Examines probability distribution and bio-mathematical applications
Mathematical Analysis For Transmission Of Covid 19
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Author : Nita H. Shah
language : en
Publisher: Springer Nature
Release Date : 2021-04-01
Mathematical Analysis For Transmission Of Covid 19 written by Nita H. Shah and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-01 with Technology & Engineering categories.
This book describes various mathematical models that can be used to better understand the spread of novel Coronavirus Disease 2019 (COVID-19) and help to fight against various challenges that have been developed due to COVID-19. The book presents a statistical analysis of the data related to the COVID-19 outbreak, especially the infection speed, death and fatality rates in major countries and some states of India like Gujarat, Maharashtra, Madhya Pradesh and Delhi. Each chapter with distinctive mathematical model also has numerical results to support the efficacy of these models. Each model described in this book provides its unique prediction policy to reduce the spread of COVID-19. This book is beneficial for practitioners, educators, researchers and policymakers handling the crisis of COVID-19 pandemic.