Differential Equations As Models In Science And Engineering PDF Download

Author: Gregory Richard Baker
Publisher: World Scientific Publishing Company
ISBN: 9814656992
Category : Mathematics
Languages : en
Pages : 391

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Book Description
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.

Author: Carl W. Hall
Publisher: CRC Press
ISBN: 9781420050547
Category : Technology & Engineering
Languages : en
Pages : 566

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Book Description
The "laws" that govern our physical universe come in many guises-as principles, theorems, canons, equations, axioms, models, and so forth. They may be empirical, statistical, or theoretical, their names may reflect the person who first expressed them, the person who publicized them, or they might simply describe a phenomenon. However they may be named, the discovery and application of physical laws have formed the backbone of the sciences for 3,000 years. They exist by thousands. Laws and Models: Science, Engineering, and Technology-the fruit of almost 40 years of collection and research-compiles more than 1,200 of the laws and models most frequently encountered and used by engineers and technologists. The result is a collection as fascinating as it is useful. Each entry consists of a statement of the law or model, its date of origin, a one-line biography of the people involved in its formulation, sources of information about the law, and cross-references. Illustrated and highly readable, this book offers a unique presentation of the vast and rich collection of laws that rule our universe. Everyone with an interest in the inner workings of nature-from engineers to students, from teachers to journalists-will find Laws and Models to be not only a handy reference, but an engaging volume to read and browse.

Author: Marcus Inácio
Publisher:
ISBN: 9781795702348
Category :
Languages : en
Pages : 255

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Book Description
This book gives the reader a brief introduction to the COMSOL Multiphysics software tool. Building COMSOL Multiphysics models in 2D or 3D will help students to consolidate their skills by applying basic theory to the real modelling of tasks that in the recent past would require months of programming and dedicated projects to solve a single problem. The examples illustrated in this book include modelling of heat transfer, the migration of a radioactive species in a channel using the Navier-Stokes equations and a chemical heterogenous reactor. These are problems that tend to be rather abstract until such time as a student applies these fundamental equations in practice. Advanced coupling between phenomena in fields such as electromagnetics with others such as heat transfer and computational fluid flow is made easy in COMSOL Multiphysics. A short introduction to the basics, concepts and techniques will allow the reader to progress rapidly and start developing his/her own models. In the second part of this book, some of the models developed in the first part are used to create model applications that can even run on a mobile phone. About the authors: António de Campos Pereira, PhD. in Physics, is an author and consultant. He is a retired researcher from the Dept. of Physics at Stockholm University. Prof. Isabel Paiva, Ph.D. in Chemical Engeneering, is a researcher at C2TN at IST, the School of Engineering of the University of Lisbon. Marcus Inácio has a B.Sc. in Electrotechnical Engineering and is specialising in the field of Medical Physics at KTH, the Royal Institute of Technology in Stockholm, Sweden. Hugo de Campos Pereira is an environmental engineer from Uppsala University and a Ph.D. student specialising in the sorption of highly fluorinated compounds in soils at the Department of Soil and Environment at SLU, the Swedish University of Agricultural Sciences in Uppsala, Sweden.

Author: Surajit Chattopadhyay
Publisher: Springer
ISBN: 3319748084
Category : Computers
Languages : en
Pages : 666

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Book Description
This volume contains the peer-reviewed proceedings of the International Conference on Modelling and Simulation (MS-17), held in Kolkata, India, 4th-5th November 2017, organized by the Association for the Advancement of Modelling and Simulation Techniques in Enterprises (AMSE, France) in association with the Institution of Engineering Technology (IET, UK), Kolkata Network. The contributions contained here showcase some recent advances in modelling and simulation across various aspects of science and technology. This book brings together articles describing applications of modelling and simulation techniques in fields as diverse as physics, mathematics, electrical engineering, industrial electronics, control, automation, power systems, energy and robotics. It includes a special section on mechanical, fuzzy, optical and opto-electronic control of oscillations. It provides a snapshot of the state of the art in modelling and simulation methods and their applications, and will be of interest to researchers and engineering professionals from industry, academia and research organizations.

Author: Steven L. Brunton
Publisher: Cambridge University Press
ISBN: 1009098489
Category : Computers
Languages : en
Pages : 615

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Book Description
A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.

Author: Michel Rappaz
Publisher: Springer Science & Business Media
ISBN: 3540426760
Category : Technology & Engineering
Languages : en
Pages : 556

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Book Description
Computing application to materials science is one of the fastest-growing research areas. This book introduces the concepts and methodologies related to the modeling of the complex phenomena occurring in materials processing. It is intended for undergraduate and graduate students in materials science and engineering, mechanical engineering and physics, and for engineering professionals or researchers.

Author: Jordan Hristov
Publisher: MDPI
ISBN: 303842983X
Category : Mathematics
Languages : en
Pages : 139

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Book Description
This book is a printed edition of the Special Issue "The Craft of Fractional Modelling in Science and Engineering" that was published in Fractal Fract

Author: Haym Benaroya
Publisher: CRC Press
ISBN: 9780824723156
Category : Science
Languages : en
Pages : 770

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Book Description
Certainty exists only in idealized models. Viewed as the quantification of uncertainties, probabilitry and random processes play a significant role in modern engineering, particularly in areas such as structural dynamics. Unlike this book, however, few texts develop applied probability in the practical manner appropriate for engineers. Probability Models in Engineering and Science provides a comprehensive, self-contained introduction to applied probabilistic modeling. The first four chapters present basic concepts in probability and random variables, and while doing so, develop methods for static problems. The remaining chapters address dynamic problems, where time is a critical parameter in the randomness. Highlights of the presentation include numerous examples and illustrations and an engaging, human connection to the subject, achieved through short biographies of some of the key people in the field. End-of-chapter problems help solidify understanding and footnotes to the literature expand the discussions and introduce relevant journals and texts. This book builds the background today's engineers need to deal explicitly with the scatter observed in experimental data and with intricate dynamic behavior. Designed for undergraduate and graduate coursework as well as self-study, the text's coverage of theory, approximation methods, and numerical methods make it equally valuable to practitioners.

Author: Xavier J.R. Avula
Publisher: Elsevier
ISBN: 1483190595
Category : Mathematics
Languages : en
Pages : 1023

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Book Description
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.

Author: Lin Zhang
Publisher: Academic Press
ISBN: 0128135441
Category : Mathematics
Languages : en
Pages : 456

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Book Description
Model Engineering for Simulation provides a systematic introduction to the implementation of generic, normalized and quantifiable modeling and simulation using DEVS formalism. It describes key technologies relating to model lifecycle management, including model description languages, complexity analysis, model management, service-oriented model composition, quantitative measurement of model credibility, and model validation and verification. The book clearly demonstrates how to construct computationally efficient, object-oriented simulations of DEVS models on parallel and distributed environments. - Guides systems and control engineers in the practical creation and delivery of simulation models using DEVS formalism - Provides practical methods to improve credibility of models and manage the model lifecycle - Helps readers gain an overall understanding of model lifecycle management and analysis - Supported by an online ancillary package that includes an instructors and student solutions manual