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Classical Numerical Methods in Scientific Computing
Copyright Year: 2023
Contributors: van Kan, Segal, and Vermolen
Publisher: TU Delft Open
License: CC BY
Partial differential equations are paramount in mathematical modelling with applications in engineering and science. The book starts with a crash course on partial differential equations in order to familiarize the reader with fundamental properties such as existence, uniqueness and possibly existing maximum principles. The main topic of the book entails the description of classical numerical methods that are used to approximate the solution of partial differential equations. The focus is on discretization methods such as the finite difference, finite volume and finite element method. The manuscript also makes a short excursion to the solution of large sets of (non)linear algebraic equations that result after application of discretization method to partial differential equations. The book treats the construction of such discretization methods, as well as some error analysis, where it is noted that the error analysis for the finite element method is merely descriptive, rather than rigorous from a mathematical point of view. The last chapters focus on time integration issues for classical time-dependent partial differential equations. After reading the book, the reader should be able to derive finite element methods, to implement the methods and to judge whether the obtained approximations are consistent with the solution to the partial differential equations. The reader will also obtain these skills for the other classical discretization methods. Acquiring such fundamental knowledge will allow the reader to continue studying more advanced methods like meshfree methods, discontinuous Galerkin methods and spectral methods for the approximation of solutions to partial differential equations.
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Numerical Methods in Scientific Computing
Copyright Year: 2023
Contributors: van Kan, Segal, and Vermolen
Publisher: TU Delft Open
License: CC BY
This is a book about numerically solving partial differential equations occurring in technical and physical contexts and the authors have set themselves a more ambitious target than to just talk about the numerics. Their aim is to show the place of numerical solutions in the general modeling process and this must inevitably lead to considerations about modeling itself. Partial differential equations usually are a consequence of applying first principles to a technical or physical problem at hand. That means, that most of the time the physics also have to be taken into account especially for validation of the numerical solution obtained. This book aims especially at engineers and scientists who have ’real world’ problems. It will concern itself less with pesky mathematical detail. For the interested reader though, we have included sections on mathematical theory to provide the necessary mathematical background. Since this treatment had to be on the superficial side we have provided further reference to the literature where necessary.
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Air Safety Investigation: The Journey
Copyright Year: 2023
Contributor: Schuurman
Publisher: TU Delft Open
License: CC BY
"Air Safety Investigation – The Journey" is an introductory book that explores the world of air safety investigation. Unlike a how-to manual for investigating aviation accidents, this book focuses on the essential knowledge and mindset required to conduct a safety investigation. It covers the various phases of an investigation, from gathering facts to formulating safety recommendations, with each chapter addressing a different relevant aspect. With the increasing complexity of investigations, critical thinking, logic, and speculation are essential skills for investigators to possess. This book delves into these topics, offering thought-provoking examples and questions to address the challenges of drawing conclusions and obtaining positive investigative outcomes. Its aim is to help students and readers interested in air safety develop the necessary mindset and knowledge to conduct an investigation. By the end of the book, readers will gain a deeper understanding of the complexities involved in an air safety investigation.
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Introducing Mathematical Biology
Copyright Year: 2023
Contributor: Best
Publisher: The University of Sheffield
License: CC BY
Mathematical modelling plays an increasingly important role in almost any area of life sciences, and this interactive textbook focuses on the areas of population ecology, infectious diseases, immunology and cell dynamics, gene networks and pharmacokinetics. It is aimed at anyone who is interested in learning about how to model biological systems, including undergraduate and postgraduate mathematics students who have not studied mathematical biology before, life-sciences students with an interest in modelling, and post-16 mathematics students interested in university-level material. Some mathematical knowledge is assumed, and the mathematical models used are all in the form of ordinary differential equations.
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Crawford Automation – A Guided Application of Structured Problem Solving
Copyright Year: 2023
Contributors: Thomson, Hollis, and Turnbull
Publisher: eCampusOntario
License: CC BY-NC-SA
This is a multimedia-enabled case in which students will be guided, by an industry expert, to apply structured problem-solving that addresses a typical supply chain problem, missing parts. What first appears as the issue may be a symptom of a root cause(s). The case utilizes videos, data files for analytics, audio recording, and videogame-style exercises to find the missing box of parts. The case is a collaboration between the Conestoga Centre for Supply Chain Innovation and ATS Automation and utilizes the ATS Business Model (ABM) approach to identifying and solving root causes. The case can be used in any Continuous Improvement course or program for either Business or Engineering students.
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Introduction to Library and Information Science
Copyright Year: 2023
Contributors: Hepler and Horalek
Publisher: College of Southern Idaho Pressbooks Network (CSI)
License: CC BY-NC
This book explores the history, present, and future of library science, both in theory and in practice. It examines the place of the librarian as arbiter of information access in a constantly-changing and modernizing global community.
(1 review)
Supporting English Language Learners in First-Year College Composition
Copyright Year: 2023
Contributors: Bayraktar, George, and Schetchikova
Publisher: VIVA
License: CC BY-NC-SA
Supporting ELLs in FYC is organized around five key essays, selected to coordinate with the essay styles commonly taught in first-year/first-semester composition courses.
(2 reviews)
Numerical Methods for Ordinary Differential Equations
Copyright Year: 2023
Contributors: Vuik, Vermolen, and van Gijzen
Publisher: TU Delft Open
License: CC BY
In this book we discuss several numerical methods for solving ordinary differential equations. We emphasize the aspects that play an important role in practical problems. We confine ourselves to ordinary differential equations with the exception of the last chapter in which we discuss the heat equation, a parabolic partial differential equation. The techniques discussed in the intro-ductory chapters, for instance interpolation, numerical quadrature and the solution to nonlinear equations, may also be used outside the context of differential equations. They have been in-cluded to make the book self-contained as far as the numerical aspects are concerned. Chapters, sections and exercises marked with a * are not part of the Delft Institutional Package.
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COMPUTATIONAL PHYSICS: A Practical Introduction to Computational Physics and Scientific Computing (using C++) - Second Edition
Copyright Year: 2016
Contributor: Anagnostopoulos
Publisher: National Technical University of Athens
License: CC BY-SA
This book is an introduction to the computational methods used in physics, but also in other scientific fields. It is addressed to an audience that has already been exposed to the introductory level of college physics, usually taught during the first two years of an undergraduate program in science and engineering. It assumes no prior knowledge of numerical analysis, programming or computers and teaches whatever is necessary for the solution of the problems addressed in the text. It can be used as a textbook in introductory computational physics or scientific computing classes.
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Trademark Law - 2022 Edition (Version 2.0)
Copyright Year: 2022
Contributor: Grynberg
Publisher: Michael Grynberg
License: CC BY
Welcome to trademark law. This introductory chapter has three purposes. First, it outlines some basics of trademark law at a very high level of generality. Second, it outlines some traditional arguments for the protection of trademark rights. Finally, it introduces some issues that complicate the development and application of trademark law.
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