Introduction to Numerical Modeling in Engineering and Applied Physics

Introduction to Numerical Modeling in Engineering and Applied Physics
Author: Peter L. Hagelstein
Publisher: Wiley
Total Pages: 900
Release: 2019-03-25
Genre: Technology & Engineering
ISBN: 9780471715740
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Presenting material used extensively by students at MIT where the author teaches, Introduction to Numerical Modeling in Engineering and Applied Physics which allows students and professionals access to basic methods and approaches in numerical simulations, so that they will be able to develop their own numerical models and better understand numerical models developed by others. It assumes no previous experience with numerical modeling, and is addressed to scientists and engineers in engineering and applied physics who are involved in modeling, covering a broad range of generally useful numerical methods and algorithms from a user-oriented perspective.

Numerical Modeling in Materials Science and Engineering

Numerical Modeling in Materials Science and Engineering
Author: Michel Rappaz
Publisher: Springer Science & Business Media
Total Pages: 544
Release: 2010-03-11
Genre: Technology & Engineering
ISBN: 3642118216
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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.

Numerical Modeling of Coupled Phenomena in Science and Engineering

Numerical Modeling of Coupled Phenomena in Science and Engineering
Author: Mario César Suárez Arriaga
Publisher: CRC Press
Total Pages: 496
Release: 2008-12-01
Genre: Technology & Engineering
ISBN: 0203886224
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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

Numerical Analysis with Applications in Mechanics and Engineering

Numerical Analysis with Applications in Mechanics and Engineering
Author: Petre Teodorescu
Publisher: John Wiley & Sons
Total Pages: 458
Release: 2013-05-07
Genre: Computers
ISBN: 1118614623
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A much-needed guide on how to use numerical methods to solve practical engineering problems Bridging the gap between mathematics and engineering, Numerical Analysis with Applications in Mechanics and Engineering arms readers with powerful tools for solving real-world problems in mechanics, physics, and civil and mechanical engineering. Unlike most books on numerical analysis, this outstanding work links theory and application, explains the mathematics in simple engineering terms, and clearly demonstrates how to use numerical methods to obtain solutions and interpret results. Each chapter is devoted to a unique analytical methodology, including a detailed theoretical presentation and emphasis on practical computation. Ample numerical examples and applications round out the discussion, illustrating how to work out specific problems of mechanics, physics, or engineering. Readers will learn the core purpose of each technique, develop hands-on problem-solving skills, and get a complete picture of the studied phenomenon. Coverage includes: How to deal with errors in numerical analysis Approaches for solving problems in linear and nonlinear systems Methods of interpolation and approximation of functions Formulas and calculations for numerical differentiation and integration Integration of ordinary and partial differential equations Optimization methods and solutions for programming problems Numerical Analysis with Applications in Mechanics and Engineering is a one-of-a-kind guide for engineers using mathematical models and methods, as well as for physicists and mathematicians interested in engineering problems.

Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids

Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids
Author: Laura De Lorenzis
Publisher: Springer Nature
Total Pages: 225
Release: 2020-02-08
Genre: Science
ISBN: 3030375188
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The book examines innovative numerical methods for computational solid and fluid mechanics that can be used to model complex problems in engineering. It also presents innovative and promising simulation methods, including the fundamentals of these methods, as well as advanced topics and complex applications. Further, the book explores how numerical simulations can significantly reduce the number of time-consuming and expensive experiments required, and can support engineering decisions by providing data that would be very difficult, if not impossible, to obtain experimentally. It also includes chapters covering topics such as particle methods addressing particle-based materials and numerical methods that are based on discrete element formulations; fictitious domain methods; phase field models; computational fluid dynamics based on modern finite volume schemes; hybridizable discontinuous Galerkin methods; and non-intrusive coupling methods for structural models.

Mathematical Modeling and Numerical Methods in Chemical Physics and Mechanics

Mathematical Modeling and Numerical Methods in Chemical Physics and Mechanics
Author: Ali V. Aliev
Publisher: CRC Press
Total Pages: 564
Release: 2016-04-27
Genre: Mathematics
ISBN: 1771882905
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The use of mathematical modeling in engineering allows for a significant reduction of material costs associated with design, production, and operation of technical objects, but it is important for an engineer to use the available computational approaches in modeling correctly. Taking into account the level of modern computer technology, this new vo

Multiphysics Modeling: Numerical Methods and Engineering Applications

Multiphysics Modeling: Numerical Methods and Engineering Applications
Author: Qun Zhang
Publisher: Elsevier
Total Pages: 438
Release: 2015-12-15
Genre: Technology & Engineering
ISBN: 0124077374
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Multiphysics Modeling: Numerical Methods and Engineering Applications: Tsinghua University Press Computational Mechanics Series describes the basic principles and methods for multiphysics modeling, covering related areas of physics such as structure mechanics, fluid dynamics, heat transfer, electromagnetic field, and noise. The book provides the latest information on basic numerical methods, also considering coupled problems spanning fluid-solid interaction, thermal-stress coupling, fluid-solid-thermal coupling, electromagnetic solid thermal fluid coupling, and structure-noise coupling. Users will find a comprehensive book that covers background theory, algorithms, key technologies, and applications for each coupling method. Presents a wealth of multiphysics modeling methods, issues, and worked examples in a single volume Provides a go-to resource for coupling and multiphysics problems Covers the multiphysics details not touched upon in broader numerical methods references, including load transfer between physics, element level strong coupling, and interface strong coupling, amongst others Discusses practical applications throughout and tackles real-life multiphysics problems across areas such as automotive, aerospace, and biomedical engineering

Computational Engineering - Introduction to Numerical Methods

Computational Engineering - Introduction to Numerical Methods
Author: Michael Schäfer
Publisher: Springer Nature
Total Pages: 374
Release: 2021-07-19
Genre: Technology & Engineering
ISBN: 3030760278
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Numerical simulation methods in all engineering disciplines gains more and more importance. The successful and efficient application of such tools requires certain basic knowledge about the underlying numerical techniques. The text gives a practice-oriented introduction in modern numerical methods as they typically are applied in mechanical, chemical, or civil engineering. Problems from heat transfer, structural mechanics, and fluid mechanics constitute a thematical focus of the text. For the basic understanding of the topic aspects of numerical mathematics, natural sciences, computer science, and the corresponding engineering area are simultaneously important. Usually, the necessary information is distributed in different textbooks from the individual disciplines. In the present text the subject matter is presented in a comprehensive multidisciplinary way, where aspects from the different fields are treated insofar as it is necessary for general understanding. Overarching aspects and important questions related to accuracy, efficiency, and cost effectiveness are discussed. The topics are presented in an introductory manner, such that besides basic mathematical standard knowledge in analysis and linear algebra no further prerequisites are necessary. The book is suitable either for self-study or as an accompanying textbook for corresponding lectures. It can be useful for students of engineering disciplines as well as for computational engineers in industrial practice.

Introduction to the Foundations of Applied Mathematics

Introduction to the Foundations of Applied Mathematics
Author: Mark H. Holmes
Publisher: Springer Nature
Total Pages: 528
Release: 2019-10-02
Genre: Mathematics
ISBN: 3030242617
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The objective of this textbook is the construction, analysis, and interpretation of mathematical models to help us understand the world we live in. Rather than follow a case study approach it develops the mathematical and physical ideas that are fundamental in understanding contemporary problems in science and engineering. Science evolves, and this means that the problems of current interest continually change. What does not change as quickly is the approach used to derive the relevant mathematical models, and the methods used to analyze the models. Consequently, this book is written in such a way as to establish the mathematical ideas underlying model development independently of a specific application. This does not mean applications are not considered, they are, and connections with experiment are a staple of this book. The book, as well as the individual chapters, is written in such a way that the material becomes more sophisticated as you progress. This provides some flexibility in how the book is used, allowing consideration for the breadth and depth of the material covered. Moreover, there are a wide spectrum of exercises and detailed illustrations that significantly enrich the material. Students and researchers interested in mathematical modelling in mathematics, physics, engineering and the applied sciences will find this text useful. The material, and topics, have been updated to include recent developments in mathematical modeling. The exercises have also been expanded to include these changes, as well as enhance those from the first edition. Review of first edition: "The goal of this book is to introduce the mathematical tools needed for analyzing and deriving mathematical models. ... Holmes is able to integrate the theory with application in a very nice way providing an excellent book on applied mathematics. ... One of the best features of the book is the abundant number of exercises found at the end of each chapter. ... I think this is a great book, and I recommend it for scholarly purposes by students, teachers, and researchers." Joe Latulippe, The Mathematical Association of America, December, 2009

Numerical Methods for Solving Partial Differential Equations

Numerical Methods for Solving Partial Differential Equations
Author: George F. Pinder
Publisher: John Wiley & Sons
Total Pages: 320
Release: 2018-02-05
Genre: Technology & Engineering
ISBN: 1119316383
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A comprehensive guide to numerical methods for simulating physical-chemical systems This book offers a systematic, highly accessible presentation of numerical methods used to simulate the behavior of physical-chemical systems. Unlike most books on the subject, it focuses on methodology rather than specific applications. Written for students and professionals across an array of scientific and engineering disciplines and with varying levels of experience with applied mathematics, it provides comprehensive descriptions of numerical methods without requiring an advanced mathematical background. Based on its author’s more than forty years of experience teaching numerical methods to engineering students, Numerical Methods for Solving Partial Differential Equations presents the fundamentals of all of the commonly used numerical methods for solving differential equations at a level appropriate for advanced undergraduates and first-year graduate students in science and engineering. Throughout, elementary examples show how numerical methods are used to solve generic versions of equations that arise in many scientific and engineering disciplines. In writing it, the author took pains to ensure that no assumptions were made about the background discipline of the reader. Covers the spectrum of numerical methods that are used to simulate the behavior of physical-chemical systems that occur in science and engineering Written by a professor of engineering with more than forty years of experience teaching numerical methods to engineers Requires only elementary knowledge of differential equations and matrix algebra to master the material Designed to teach students to understand, appreciate and apply the basic mathematics and equations on which Mathcad and similar commercial software packages are based Comprehensive yet accessible to readers with limited mathematical knowledge, Numerical Methods for Solving Partial Differential Equations is an excellent text for advanced undergraduates and first-year graduate students in the sciences and engineering. It is also a valuable working reference for professionals in engineering, physics, chemistry, computer science, and applied mathematics.