Mathematical Modeling In Science And Engineering

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Mathematical Modeling in Science and Engineering

Ismael Herrera,George F. Pinder
Mathematical Modeling in Science and Engineering Book PDF

Author : Ismael Herrera,George F. Pinder
Publisher : John Wiley & Sons
Page : 259 pages
File Size : 43,5 Mb
Release : 2012-03-19
Category : Technology & Engineering
ISBN : 9781118207208

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Mathematical Modeling in Science and Engineering by Ismael Herrera,George F. Pinder Pdf

A powerful, unified approach to mathematical and computational modeling in science and engineering Mathematical and computational modeling makes it possible to predict the behavior of a broad range of systems across a broad range of disciplines. This text guides students and professionals through the axiomatic approach, a powerful method that will enable them to easily master the principle types of mathematical and computational models used in engineering and science. Readers will discover that this axiomatic approach not only enables them to systematically construct effective models, it also enables them to apply these models to any macroscopic physical system. Mathematical Modeling in Science and Engineering focuses on models in which the processes to be modeled are expressed as systems of partial differential equations. It begins with an introductory discussion of the axiomatic formulation of basic models, setting the foundation for further topics such as: Mechanics of classical and non-classical continuous systems Solute transport by a free fluid Flow of a fluid in a porous medium Multiphase systems Enhanced oil recovery Fluid mechanics Throughout the text, diagrams are provided to help readers visualize and better understand complex mathematical concepts. A set of exercises at the end of each chapter enables readers to put their new modeling skills into practice. There is also a bibliography in each chapter to facilitate further investigation of individual topics. Mathematical Modeling in Science and Engineering is ideal for both students and professionals across the many disciplines of science and engineering that depend on mathematical and computational modeling to predict and understand complex systems.

Mathematical Modeling and Simulation

Kai Velten
Mathematical Modeling and Simulation Book PDF

Author : Kai Velten
Publisher : John Wiley & Sons
Page : 362 pages
File Size : 48,8 Mb
Release : 2009-06-01
Category : Science
ISBN : 9783527627615

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Mathematical Modeling and Simulation by Kai Velten Pdf

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 Modeling in Social Sciences and Engineering

Juan Carlos Cortés López,Lucas Antonio Jodar Sanchez
Mathematical Modeling in Social Sciences and Engineering Book PDF

Author : Juan Carlos Cortés López,Lucas Antonio Jodar Sanchez
Publisher : Nova Science Publishers
Page : 0 pages
File Size : 51,5 Mb
Release : 2014
Category : Engineering
ISBN : 1631173359

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Mathematical Modeling in Social Sciences and Engineering by Juan Carlos Cortés López,Lucas Antonio Jodar Sanchez Pdf

This book is devoted to the power of mathematical modelling to give an answer to a broad diversity of real problems including medicine, finance, social behavioural problems and many engineering problems. Mathematical modelling in social sciences is very recent and comes with special challenges such as the difficulty to manage human behaviour, the role of the model hypothesis with the objectivity/subjectivity and the proper understanding of the conclusions. In this book, the reader will find several behavioural mathematical models that in fact may be understood as the so-called epidemiological models in the sense that they deal with populations instead of individuals.

Mathematical and Computational Approaches in Advancing Modern Science and Engineering

Jacques Bélair,Ian A. Frigaard,Herb Kunze,Roman Makarov,Roderick Melnik,Raymond J. Spiteri
Mathematical and Computational Approaches in Advancing Modern Science and Engineering Book PDF

Author : Jacques Bélair,Ian A. Frigaard,Herb Kunze,Roman Makarov,Roderick Melnik,Raymond J. Spiteri
Publisher : Springer
Page : 806 pages
File Size : 41,5 Mb
Release : 2016-08-10
Category : Computers
ISBN : 9783319303796

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Mathematical and Computational Approaches in Advancing Modern Science and Engineering by Jacques Bélair,Ian A. Frigaard,Herb Kunze,Roman Makarov,Roderick Melnik,Raymond J. Spiteri Pdf

Focusing on five main groups of interdisciplinary problems, this book covers a wide range of topics in mathematical modeling, computational science and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines. The book offers a valuable source of methods, ideas, and tools developed for a variety of disciplines, including the natural and social sciences, medicine, engineering, and technology. Original results are presented on both the fundamental and applied level, accompanied by an ample number of real-world problems and examples emphasizing the interdisciplinary nature and universality of mathematical modeling, and providing an excellent outline of today’s challenges. Mathematical modeling, with applied and computational methods and tools, plays a fundamental role in modern science and engineering. It provides a primary and ubiquitous tool in the context making new discoveries, as well as in the development of new theories and techniques for solving key problems arising in scientific and engineering applications. The contributions, which are the product of two highly successful meetings held jointly in Waterloo, Ontario, Canada on the main campus of Wilfrid Laurier University in June 2015, i.e. the International Conference on Applied Mathematics, Modeling and Computational Science, and the Annual Meeting of the Canadian Applied and Industrial Mathematics (CAIMS), make the book a valuable resource for any reader interested in a broader overview of the methods, ideas and tools involved in mathematical and computational approaches developed for other disciplines, including the natural and social sciences, engineering and technology.

Differential Equations as Models in Science and Engineering

Gregory Baker
Differential Equations as Models in Science and Engineering Book PDF

Author : Gregory Baker
Publisher : World Scientific Publishing Company
Page : 392 pages
File Size : 54,5 Mb
Release : 2016-07-25
Category : Mathematics
ISBN : 9789814656993

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Differential Equations as Models in Science and Engineering by Gregory Baker Pdf

This textbook develops a coherent view of differential equations by progressing through a series of typical examples in science and engineering that arise as mathematical models. All steps of the modeling process are covered: formulation of a mathematical model; the development and use of mathematical concepts that lead to constructive solutions; validation of the solutions; and consideration of the consequences. The volume engages students in thinking mathematically, while emphasizing the power and relevance of mathematics in science and engineering. There are just a few guidelines that bring coherence to the construction of solutions as the book progresses through ordinary to partial differential equations using examples from mixing, electric circuits, chemical reactions and transport processes, among others. The development of differential equations as mathematical models and the construction of their solution is placed center stage in this volume.

An Introduction to Mathematical Modeling

Edward A. Bender
An Introduction to Mathematical Modeling Book PDF

Author : Edward A. Bender
Publisher : Courier Corporation
Page : 273 pages
File Size : 44,7 Mb
Release : 2012-05-23
Category : Mathematics
ISBN : 9780486137124

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An Introduction to Mathematical Modeling by Edward A. Bender Pdf

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.

Mathematical Modeling and Computation of Real-Time Problems

Rakhee Kulshrestha,Chandra Shekhar,Madhu Jain,Srinivas R. Chakravarthy
Mathematical Modeling and Computation of Real Time Problems Book PDF

Author : Rakhee Kulshrestha,Chandra Shekhar,Madhu Jain,Srinivas R. Chakravarthy
Publisher : CRC Press
Page : 172 pages
File Size : 51,8 Mb
Release : 2021-01-04
Category : Mathematics
ISBN : 9781000288674

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Mathematical Modeling and Computation of Real-Time Problems by Rakhee Kulshrestha,Chandra Shekhar,Madhu Jain,Srinivas R. Chakravarthy Pdf

This book covers an interdisciplinary approach for understanding mathematical modeling by offering a collection of models, solved problems related to the models, the methodologies employed, and the results using projects and case studies with insight into the operation of substantial real-time systems. The book covers a broad scope in the areas of statistical science, probability, stochastic processes, fluid dynamics, supply chain, optimization, and applications. It discusses advanced topics and the latest research findings, uses an interdisciplinary approach for real-time systems, offers a platform for integrated research, and identifies the gaps in the field for further research. The book is for researchers, students, and teachers that share a goal of learning advanced topics and the latest research in mathematical modeling.

Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications

Michal Krízek,Pekka Neittaanmäki
Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications Book PDF

Author : Michal Krízek,Pekka Neittaanmäki
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 54,6 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401586726

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Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications by Michal Krízek,Pekka Neittaanmäki Pdf

Mathematical modeling plays an essential role in science and engineering. Costly and time consuming experiments (if they can be done at all) are replaced by computational analysis. In industry, commercial codes are widely used. They are flexible and can be adjusted for solving specific problems of interest. Solving large problems with tens or hundreds of thousands unknowns becomes routine. The aim of analysis is to predict the behavior of the engineering and physical reality usually within the constraints of cost and time. Today, human cost and time are more important than computer cost. This trend will continue in the future. Agreement between computational results and reality is related to two factors, namely mathematical formulation of the problems and the accuracy of the numerical solution. The accuracy has to be understood in the context of the aim of the analysis. A small error in an inappropriate norm does not necessarily mean that the computed results are usable for practical purposes.

Building and Solving Mathematical Programming Models in Engineering and Science

Enrique Castillo,Antonio J. Conejo,Pablo Pedregal,Ricardo García,Natalia Alguacil
Building and Solving Mathematical Programming Models in Engineering and Science Book PDF

Author : Enrique Castillo,Antonio J. Conejo,Pablo Pedregal,Ricardo García,Natalia Alguacil
Publisher : John Wiley & Sons
Page : 568 pages
File Size : 42,6 Mb
Release : 2011-10-24
Category : Mathematics
ISBN : 9780471461654

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Building and Solving Mathematical Programming Models in Engineering and Science by Enrique Castillo,Antonio J. Conejo,Pablo Pedregal,Ricardo García,Natalia Alguacil Pdf

Fundamental concepts of mathematical modeling Modeling is one of the most effective, commonly used tools in engineering and the applied sciences. In this book, the authors deal with mathematical programming models both linear and nonlinear and across a wide range of practical applications. Whereas other books concentrate on standard methods of analysis, the authors focus on the power of modeling methods for solving practical problems-clearly showing the connection between physical and mathematical realities-while also describing and exploring the main concepts and tools at work. This highly computational coverage includes: * Discussion and implementation of the GAMS programming system * Unique coverage of compatibility * Illustrative examples that showcase the connection between model and reality * Practical problems covering a wide range of scientific disciplines, as well as hundreds of examples and end-of-chapter exercises * Real-world applications to probability and statistics, electrical engineering, transportation systems, and more Building and Solving Mathematical Programming Models in Engineering and Science is practically suited for use as a professional reference for mathematicians, engineers, and applied or industrial scientists, while also tutorial and illustrative enough for advanced students in mathematics or engineering.

The Art of Modeling in Science and Engineering with Mathematica

Diran Basmadjian,Ramin Farnood
The Art of Modeling in Science and Engineering with Mathematica Book PDF

Author : Diran Basmadjian,Ramin Farnood
Publisher : CRC Press
Page : 509 pages
File Size : 43,9 Mb
Release : 2006-08-18
Category : Mathematics
ISBN : 9781482286038

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The Art of Modeling in Science and Engineering with Mathematica by Diran Basmadjian,Ramin Farnood Pdf

Thoroughly revised and updated, The Art of Modeling in Science and Engineering with Mathematica®, Second Edition explores the mathematical tools and procedures used in modeling based on the laws of conservation of mass, energy, momentum, and electrical charge. The authors have culled and consolidated the best from the first edition and expanded the range of applied examples to reach a wider audience. The text proceeds, in measured steps, from simple models of real-world problems at the algebraic and ordinary differential equations (ODE) levels to more sophisticated models requiring partial differential equations. The traditional solution methods are supplemented with Mathematica , which is used throughout the text to arrive at solutions for many of the problems presented. The text is enlivened with a host of illustrations and practice problems drawn from classical and contemporary sources. They range from Thomson’s famous experiment to determine e/m and Euler’s model for the buckling of a strut to an analysis of the propagation of emissions and the performance of wind turbines. The mathematical tools required are first explained in separate chapters and then carried along throughout the text to solve and analyze the models. Commentaries at the end of each illustration draw attention to the pitfalls to be avoided and, perhaps most important, alert the reader to unexpected results that defy conventional wisdom. These features and more make the book the perfect tool for resolving three common difficulties: the proper choice of model, the absence of precise solutions, and the need to make suitable simplifying assumptions and approximations. The book covers a wide range of physical processes and phenomena drawn from various disciplines and clearly illuminates the link between the physical system being modeled and the mathematical expression that results.

Mathematical Modeling and Digital Simulation for Engineers and Scientists

Jon M. Smith
Mathematical Modeling and Digital Simulation for Engineers and Scientists Book PDF

Author : Jon M. Smith
Publisher : Wiley-Interscience
Page : 456 pages
File Size : 42,7 Mb
Release : 1987-05-12
Category : Computers
ISBN : STANFORD:36105030443845

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Mathematical Modeling and Digital Simulation for Engineers and Scientists by Jon M. Smith Pdf

Mathematical modeling preliminaries; Numerical methods for simulating linear systems on a digital computer; Numerical methods for simulating nonlinear systems on a digital computer; Simulating continuous random processes on a digital computer; Simulator verification; Fast function evaluation techniques.

Mathematical Modeling in Science and Engineering

Ismael Herrera,George F. Pinder
Mathematical Modeling in Science and Engineering Book PDF

Author : Ismael Herrera,George F. Pinder
Publisher : Wiley
Page : 264 pages
File Size : 54,8 Mb
Release : 2012-02-28
Category : Technology & Engineering
ISBN : 111820722X

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Mathematical Modeling in Science and Engineering by Ismael Herrera,George F. Pinder Pdf

A powerful, unified approach to mathematical and computational modeling in science and engineering Mathematical and computational modeling makes it possible to predict the behavior of a broad range of systems across a broad range of disciplines. This text guides students and professionals through the axiomatic approach, a powerful method that will enable them to easily master the principle types of mathematical and computational models used in engineering and science. Readers will discover that this axiomatic approach not only enables them to systematically construct effective models.

Mathematical Models in Natural Science and Engineering

Juri I. Neimark
Mathematical Models in Natural Science and Engineering Book PDF

Author : Juri I. Neimark
Publisher : Springer Science & Business Media
Page : 561 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783540478782

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Mathematical Models in Natural Science and Engineering by Juri I. Neimark Pdf

This book has come into being as a result ofthe author's lectures on mathematical modelling rendered to the students, BS and MS degree holders specializing in applied mathematics and computer science and to post-graduate students in exact sciences of the Nizhny Novgorod State University after N.!. Lobatchevsky. These lectures are adapted and presented as a single whole ab out mathematical models and modelling. This new course of lectures appeared because the contemporary Russian educational system in applied mathematics rested upon a combination of fundamental and applied mathematics training; this way of training oriented students upon solving only the exactly stated mathematical problems, and thus there was created a certain estrangement to the most essential stages and sides of real solutions for applied problems, such as thinking over and deeply piercing the essence of a specific problem and its mathematical statement. This statement embraces simplifications, adopted idealizations and creating a mathematical model, its correction and matching the results obtained against a real system. There also existed another main objective, namely to orient university graduates in their future research not only upon purely mathematical issues but also upon comprehending and widely applying mathematics as a universal language of contemporary exact science, and mathematical modelling as a powerful me ans for studying nature, engineering and human society.

Soft Computing Approach for Mathematical Modeling of Engineering Problems

Ali Ahmadian,Soheil Salahshour
Soft Computing Approach for Mathematical Modeling of Engineering Problems Book PDF

Author : Ali Ahmadian,Soheil Salahshour
Publisher : CRC Press
Page : 160 pages
File Size : 44,9 Mb
Release : 2021-09-02
Category : Computers
ISBN : 9781000432466

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Soft Computing Approach for Mathematical Modeling of Engineering Problems by Ali Ahmadian,Soheil Salahshour Pdf

This book describes different mathematical modeling and soft computing techniques used to solve practical engineering problems. It gives an overview of the current state of soft computing techniques and describes the advantages and disadvantages of soft computing compared to traditional hard computing techniques. Through examples and case studies, the editors demonstrate and describe how problems with inherent uncertainty can be addressed and eventually solved through the aid of numerical models and methods. The chapters address several applications and examples in bioengineering science, drug delivery, solving inventory issues, Industry 4.0, augmented reality and weather forecasting. Other examples include solving fuzzy-shortest-path problems by introducing a new distance and ranking functions. Because, in practice, problems arise with uncertain data and most of them cannot be solved exactly and easily, the main objective is to develop models that deliver solutions with the aid of numerical methods. This is the reason behind investigating soft numerical computing in dynamic systems. Having this in mind, the authors and editors have considered error of approximation and have discussed several common types of errors and their propagations. Moreover, they have explained the numerical methods, along with convergence and consistence properties and characteristics, as the main objectives behind this book involve considering, discussing and proving related theorems within the setting of soft computing. This book examines dynamic models, and how time is fundamental to the structure of the model and data as well as the understanding of how a process unfolds • Discusses mathematical modeling with soft computing and the implementations of uncertain mathematical models • Examines how uncertain dynamic systems models include uncertain state, uncertain state space and uncertain state’s transition functions • Assists readers to become familiar with many soft numerical methods to simulate the solution function’s behavior This book is intended for system specialists who are interested in dynamic systems that operate at different time scales. The book can be used by engineering students, researchers and professionals in control and finite element fields as well as all engineering, applied mathematics, economics and computer science interested in dynamic and uncertain systems. Ali Ahmadian is a Senior Lecturer at the Institute of IR 4.0, The National University of Malaysia. Soheil Salahshour is an associate professor at Bahcesehir University.

Numerical Modeling of Coupled Phenomena in Science and Engineering

Mario César Suárez Arriaga,Jochen Bundschuh,Francisco Javier Dominguez-Mota
Numerical Modeling of Coupled Phenomena in Science and Engineering Book PDF

Author : Mario César Suárez Arriaga,Jochen Bundschuh,Francisco Javier Dominguez-Mota
Publisher : CRC Press
Page : 496 pages
File Size : 41,5 Mb
Release : 2008-12-01
Category : Technology & Engineering
ISBN : 9780203886229

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Numerical Modeling of Coupled Phenomena in Science and Engineering by Mario César Suárez Arriaga,Jochen Bundschuh,Francisco Javier Dominguez-Mota Pdf

Mathematics is a universal language. Differential equations, mathematical modeling, numerical methods and computation form the underlying infrastructure of engineering and the sciences. In this context mathematical modeling is a very powerful tool for studying engineering problems, natural systems and human society. This interdisciplinary book cont