Mathematical Modeling And Optimization For Real Life Phenomena
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Mathematical Modeling And Optimization For Real Life Phenomena
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Author : Cristiana J. Silva
language : en
Publisher: Frontiers Media SA
Release Date : 2024-03-13
Mathematical Modeling And Optimization For Real Life Phenomena written by Cristiana J. Silva and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-13 with Science categories.
Mathematical modeling of real life phenomena is a powerful tool in analyzing and describing their dynamical behavior. These models can be optimized and controlled using appropriate optimization methods and optimal control theory. Different characterization techniques are used to explain a real natural phenomenon by numerical simulations or experimental approximations.
Mathematical Modelling And Optimization Of Engineering Problems
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Author : J. A. Tenreiro Machado
language : en
Publisher: Springer Nature
Release Date : 2020-02-12
Mathematical Modelling And Optimization Of Engineering Problems written by J. A. Tenreiro Machado and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-12 with Mathematics categories.
This book presents recent developments in modelling and optimization of engineering systems and the use of advanced mathematical methods for solving complex real-world problems. It provides recent theoretical developments and new techniques based on control, optimization theory, mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena including latest technologies such as additive manufacturing. Specific topics covered in detail include combinatorial optimization, flow and heat transfer, mathematical modelling, energy storage and management policy, artificial intelligence, optimal control, modelling and optimization of manufacturing systems.
Applied Mathematical Modelling Of Engineering Problems
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Author : N.V. Hritonenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Applied Mathematical Modelling Of Engineering Problems written by N.V. Hritonenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
The subject of the book is the "know-how" of applied mathematical modelling: how to construct specific models and adjust them to a new engineering environment or more precise realistic assumptions; how to analyze models for the purpose of investigating real life phenomena; and how the models can extend our knowledge about a specific engineering process. Two major sources of the book are the stock of classic models and the authors' wide experience in the field. The book provides a theoretical background to guide the development of practical models and their investigation. It considers general modelling techniques, explains basic underlying physical laws and shows how to transform them into a set of mathematical equations. The emphasis is placed on common features of the modelling process in various applications as well as on complications and generalizations of models. The book covers a variety of applications: mechanical, acoustical, physical and electrical, water transportation and contamination processes; bioengineering and population control; production systems and technical equipment renovation. Mathematical tools include partial and ordinary differential equations, difference and integral equations, the calculus of variations, optimal control, bifurcation methods, and related subjects.
A Practical Approach To Advanced Mathematical Modelling In Civil Engineering
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Author : Mohammad Heidarzadeh
language : en
Publisher: Oxford University Press
Release Date : 2025-04-18
A Practical Approach To Advanced Mathematical Modelling In Civil Engineering written by Mohammad Heidarzadeh and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-18 with Technology & Engineering categories.
A Practical Approach to Advanced Mathematical Modelling in Civil Engineering introduces advanced mathematical techniques and modelling concepts through real-world practical applications in key areas of Civil Engineering. It fills a crucial gap in the existing literature by using examples from structural analysis, coastal processes, and soil behaviour. The authors approach to teaching has been developed over years of experience and aims to engage readers by demonstrating the universal utility of mathematical methods in solving engineering challenges. The chapters are designed around engineering subject areas such as structural, transportation, and geotechnical engineering. A focus on engineering rather than mathematical concepts helps students of engineering to concentrate on real-world applications and prescribe available mathematical techniques to each, as well as being useful for expanding the knowledge of already practicing engineers. The appendix backs this learning up with basic engineering mathematics, providing a comprehensive resource for all levels from undergraduate and graduate engineering students. Those already familiar with the basics can turn to the appendix at a later date to revisit their knowledge. The book will also be accompanied by a companion website hosting downloadable ready-to-use computer programs and code addressing real-world engineering problems, designed in the popular programming environment MATLAB. For those who are unfamiliar with the program, Appendix B provides a useful introduction to MATLAB. These codes are referred to throughout the book and are available for readers to download and use themselves.
Techniques In Mathematical Modelling
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Author : Gautami Devar
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Techniques In Mathematical Modelling written by Gautami Devar and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Techniques in Mathematical Modelling" is a comprehensive textbook designed to provide students, researchers, and practitioners with a solid foundation in the principles, techniques, and applications of mathematical modelling. We cover a wide range of topics, from fundamental concepts and analytical techniques to validation methods and emerging trends. Each chapter includes practical examples, case studies, and exercises to reinforce learning and demonstrate real-world applications. Our book emphasizes the interdisciplinary nature of mathematical modelling, with applications in physics, biology, economics, engineering, social sciences, and more. We encourage hands-on learning through practical exercises, simulations, and projects, allowing readers to apply theoretical concepts to real-world scenarios. Additionally, we explore emerging trends and challenges in the field, including advancements in computational techniques, data analytics, and interdisciplinary collaborations. Written in clear and accessible language, "Techniques in Mathematical Modelling" caters to readers with varying levels of mathematical background, making it suitable for undergraduate and graduate students as well as professionals.
Modeling Simulation And Optimization Of Supply Chains
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Author : Ciro D'Apice
language : en
Publisher: SIAM
Release Date : 2010-07-01
Modeling Simulation And Optimization Of Supply Chains written by Ciro D'Apice and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-01 with Mathematics categories.
This book offers a state-of-the-art introduction to the mathematical theory of supply chain networks, focusing on those described by partial differential equations. The authors discuss modeling of complex supply networks as well as their mathematical theory, explore modeling, simulation, and optimization of some of the discussed models, and present analytical and numerical results on optimization problems. Real-world examples are given to demonstrate the applicability of the presented approaches. Graduate students and researchers who are interested in the theory of supply chain networks described by partial differential equations will find this book useful. It can also be used in advanced graduate-level courses on modeling of physical phenomena as well as introductory courses on supply chain theory.
Mathematical Modeling And Simulation
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Author : Kai Velten
language : en
Publisher: John Wiley & Sons
Release Date : 2009-06-01
Mathematical Modeling And Simulation written by Kai Velten and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-01 with Science categories.
This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail. Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).
Mathematical Modelling In Science And Technology
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Author : Xavier J.R. Avula
language : en
Publisher: Elsevier
Release Date : 2014-05-09
Mathematical Modelling In Science And Technology written by Xavier J.R. Avula and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-09 with Mathematics categories.
Mathematical Modelling in Science and Technology: The Fourth International Conference covers the proceedings of the Fourth International Conference by the same title, held at the Swiss Federal Institute of Technology, Zurich, Switzerland on August 15-17, 1983. Mathematical modeling is a powerful tool to solve many complex problems presented by scientific and technological developments. This book is organized into 20 parts encompassing 180 chapters. The first parts present the basic principles, methodology, systems theory, parameter estimation, system identification, and optimization of mathematical modeling. The succeeding parts discuss the features of stochastic and numerical modeling and simulation languages. Considerable parts deal with the application areas of mathematical modeling, such as in chemical engineering, solid and fluid mechanics, water resources, medicine, economics, transportation, and industry. The last parts tackle the application of mathematical modeling in student management and other academic cases. This book will prove useful to researchers in various science and technology fields.
Modeling Languages In Mathematical Optimization
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Author : Josef Kallrath
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-02-29
Modeling Languages In Mathematical Optimization written by Josef Kallrath and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-29 with Computers categories.
This volume presents a unique combination of modeling and solving real world optimization problems. It is the only book which treats systematically the major modeling languages and systems used to solve mathematical optimization problems, and it also provides a useful overview and orientation of today's modeling languages in mathematical optimization. It demonstrates the strengths and characteristic features of such languages and provides a bridge for researchers, practitioners and students into a new world: solving real optimization problems with the most advances modeling systems.
An Introduction To Mathematical Modeling
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Author : Edward A. Bender
language : en
Publisher: Courier Corporation
Release Date : 2012-05-23
An Introduction To Mathematical Modeling written by Edward A. Bender and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-23 with Mathematics categories.
Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach. Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.