Mathematical Models And Integration Methods
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Mathematical Models And Integration Methods
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Author : Oleg V. Kaptsov
language : en
Publisher: de Gruyter
Release Date : 2024-09-23
Mathematical Models And Integration Methods written by Oleg V. Kaptsov and has been published by de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-23 with Mathematics categories.
The main goal of the seminar is to attract leading world-renowned experts in differential equations, modeling, and modern methods of integration. This book is a collection of seminar proceedings designed to present recent advancements in this field
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.
An Introduction To Mathematical Modeling
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Author : Edward A. Bender
language : en
Publisher: Courier Corporation
Release Date : 2000-03-06
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 2000-03-06 with Mathematics categories.
Accessible text features over 100 reality-based examples pulled from the science, engineering and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.
Differential Models
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Author : Alexander Solodov
language : en
Publisher: Springer Science & Business Media
Release Date : 2005
Differential Models written by Alexander Solodov 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 2005 with Mathematics categories.
Differential equations are often used in mathematical models for technological processes or devices. However, the design of a differential mathematical model iscrucial anddifficult in engineering. As a hands-on approach to learn how to pose a differential mathematical modelthe authors have selected 9 examples with important practical application and treat them as following:- Problem-setting and physical model formulation- Designing the differential mathematical model- Integration of the differential equations- Visualization of results Each step of the development ofa differential model isenriched by respective Mathcad 11commands, todays necessary linkage of engineering significance and high computing complexity. TOC:Differential Mathematical Models.- Integrable Differential Equations.- Dynamic Model of the System with Heat Engineering.- Stiff Differential Equations.- Heat Transfer near the Critical Point.- The Faulkner- Skan Equation of Boundary Layer.- The Rayleigh Equation: Hydronamic Instability.- Kinematic Waves of Concentration in Ion- Exchange Filters.- Kinematic Shock Waves.- Numerical Modelling of the CPU-board Temperature Field.- Temperature Waves.
Numerical Methods And Analysis With Mathematical Modelling
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Author : William P. Fox
language : en
Publisher: CRC Press
Release Date : 2024-08-07
Numerical Methods And Analysis With Mathematical Modelling written by William P. Fox and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-07 with Mathematics categories.
What sets Numerical Methods and Analysis with Mathematical Modelling apart are the modelling aspects utilizing numerical analysis (methods) to obtain solutions. The authors cover first the basic numerical analysis methods with simple examples to illustrate the techniques and discuss possible errors. The modelling prospective reveals the practical relevance of the numerical methods in context to real-world problems. At the core of this text are the real-world modelling projects. Chapters are introduced and techniques are discussed with common examples. A modelling scenario is introduced that will be solved with these techniques later in the chapter. Often, the modelling problems require more than one previously covered technique presented in the book. Fundamental exercises to practice the techniques are included. Multiple modelling scenarios per numerical methods illustrate the applications of the techniques introduced. Each chapter has several modelling examples that are solved by the methods described within the chapter. The use of technology is instrumental in numerical analysis and numerical methods. In this text, Maple, Excel, R, and Python are illustrated. The goal is not to teach technology but to illustrate its power and limitations to perform algorithms and reach conclusions. This book fulfills a need in the education of all students who plan to use technology to solve problems whether using physical models or true creative mathematical modeling, like discrete dynamical systems.
Methods Of Mathematical Modelling
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Author : Harendra Singh
language : en
Publisher: CRC Press
Release Date : 2019-09-17
Methods Of Mathematical Modelling written by Harendra Singh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-17 with Technology & Engineering categories.
This book features original research articles on the topic of mathematical modelling and fractional differential equations. The contributions, written by leading researchers in the field, consist of chapters on classical and modern dynamical systems modelled by fractional differential equations in physics, engineering, signal processing, fluid mechanics, and bioengineering, manufacturing, systems engineering, and project management. The book offers theory and practical applications for the solutions of real-life problems and will be of interest to graduate level students, educators, researchers, and scientists interested in mathematical modelling and its diverse applications. Features Presents several recent developments in the theory and applications of fractional calculus Includes chapters on different analytical and numerical methods dedicated to several mathematical equations Develops methods for the mathematical models which are governed by fractional differential equations Provides methods for models in physics, engineering, signal processing, fluid mechanics, and bioengineering Discusses real-world problems, theory, and applications
Applied Mathematical Modeling
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Author : Eetu N. Virtanen
language : en
Publisher: Nova Publishers
Release Date : 2008
Applied Mathematical Modeling written by Eetu N. Virtanen and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This new book focuses on important research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. It includes heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimisation; finite volume, finite element, and boundary element procedures; decision sciences in an industrial and manufacturing context; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.
Mathematical Methods For The Natural And Engineering Sciences
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Author : Ronald E Mickens
language : en
Publisher: World Scientific Publishing Company
Release Date : 2004-04-13
Mathematical Methods For The Natural And Engineering Sciences written by Ronald E Mickens and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-13 with Science categories.
This book provides a variety of methods required for the analysis and solution of equations which arise in the modeling of phenomena from the natural and engineering sciences. It can be used productively by both undergraduate and graduate students, as well as others who need to learn and understand these techniques. A detailed discussion is also presented for several topics that are usually not included in standard textbooks at this level: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations, and various perturbation methods. Each chapter contains a large number of worked examples and provides references to the appropriate literature.
Mathematical Modelling From Theory To Practice
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Author : Ngan Hoe Lee
language : en
Publisher: World Scientific
Release Date : 2015-01-19
Mathematical Modelling From Theory To Practice written by Ngan Hoe Lee and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-19 with Mathematics categories.
This book documents the journey undertaken by educators from the Mathematics and Mathematics Education (MME) Academic Group in the National Institute of Education (NIE) and Singapore schools during a Mathematical Modelling Outreach (MMO) event in June 2010 under the guidance of renowned experts in the field of mathematical modelling. The main goal of MMO was to reach out to Singapore primary and secondary schools and introduce the potentials of mathematical modelling as a platform for eliciting mathematical thinking, communication, and reasoning among students. This book contributes to the expanding literature on mathematical modelling by offering voices from the Singaporean context. It suggests how theoretical perspectives on mathematical modelling can be transformed into actual practice in schools, all within the existing infrastructure of the current Singapore mathematics curriculum. More importantly, the book provides documentary evidence on how plans put in place through MMO in 2010 have since been realised.The publication of this book is hence timely at this juncture. Not only does the book record how MMO was among the first pebbles launched into the pond, it also serves as a bridge over which educators can stand upon to view how the ripple effect had developed from the initial MMO pebble and the directions it may continue to extend. Perhaps in the process, other ripples in the teaching, learning, and research of mathematical modelling can be created.
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).