Introduction to Modeling and Simulation with MATLAB and Python is intended for students and professionals in science, social science, and engineering that wish to learn the principles of computer modeling, as well as basic programming skills. The book content focuses on meeting a set of basic modeling and simulation competencies that were developed as part of several National Science Foundation grants. Even though computer science students are much more expert programmers, they are not often given the opportunity to see how those skills are being applied to solve complex science and engineering problems and may also not be aware of the libraries used by scientists to create those models.
The book interleaves chapters on modeling concepts and related exercises with programming concepts and exercises. The authors start with an introduction to modeling and its importance to current practices in the sciences and engineering. They introduce each of the programming environments and the syntax used to represent variables and compute mathematical equations and functions. As students gain more programming expertise, the authors return to modeling concepts, providing starting code for a variety of exercises where students add additional code to solve the problem and provide an analysis of the outcomes. In this way, the book builds both modeling and programming expertise with a "just-in-time" approach so that by the end of the book, students can take on relatively simple modeling example on their own.
Each chapter is supplemented with references to additional reading, tutorials, and exercises that guide students to additional help and allows them to practice both their programming and analytical modeling skills. In addition, each of the programming related chapters is divided into two parts – one for MATLAB and one for Python. In these chapters, the authors also refer to additional online tutorials that students can use if they are having difficulty with any of the topics.
The book culminates with a set of final project exercise suggestions that incorporate both the modeling and programming skills provided in the rest of the volume. Those projects could be undertaken by individuals or small groups of students.
The companion website at http://www.intromodeling.com provides updates to instructions when there are substantial changes in software versions, as well as electronic copies of exercises and the related code. The website also offers a space where people can suggest additional projects they are willing to share as well as comments on the existing projects and exercises throughout the book. Solutions and lecture notes will also be available for qualifying instructors.
Table of Contents
INTRODUCTION TO COMPUTATIONAL MODELING
The Importance of Computational Science
How Modeling Has Contributed to Advances in Science and Engineering
The Modeling Process
INTRODUCTION TO PROGRAMMING ENVIRONMENTS
The MATLAB Programming Environment
The Python Environment
DETERMINISTIC LINEAR MODELS
Selecting a Mathematical Representation for a Model
Linear Models and Linear Equations
Systems of Linear Equations
Limitations of Linear Models
ARRAY MATHEMATICS IN MATLAB AND PYTHON
Introduction to Arrays and Matrices
Brief Overview of Matrix Mathematics
Matrix Operations in MATLAB
Matrix Operations in Python
Plotting in MATLAB
Plotting in Python
Bottle Filling Example
Tools for Program Development
Bottle Filling Example continued
ITERATION AND LOOPS
NON-LINEAR AND DYNAMIC MODELS
Modeling Complex Systems
Modeling Physical and Social Phenomena
ESTIMATING MODELS FROM EMPIRICAL DATA
Using Data to Build Forecasting Models
Fitting a Mathematical Function to Data
Creating a Stochastic Model
Random Number Generators in MATLAB and Python
A Simple Code Example
Examples of Larger Scale Stochastic Models
VERIFICATION, VALIDATION, AND ERRORS
Verification and Validation
Dr. Steven I Gordon is a Professor Emeritus at The Ohio State University in the City and Regional Planning and Environmental Science Programs. He also serves as the Senior Education Lead at the Ohio Supercomputer Center. In that and other roles at OSC, he has focused primarily on the integration of computational science into the curricula at higher education institutions in Ohio and throughout the U.S. He has worked with multiple institutions through a variety of grants from the National Science Foundation including the XSEDE and Blue Waters Projects.
Dr. Gordon is also one of the founders and first chair of the Association of Computing Machinery SIGHPC Education Chapter and serves as a presentative of the SIGHPC on the ACM Education Council. He has published extensively on topics related to environmental planning and the applications of modeling and simulation in education and research. He earned a bachelor’s degree from the University of Buffalo in 1966 and a PhD from Columbia University in 1977.
Brian Guilfoos serves as the HPC Client Services manager for the Ohio Supercomputer Center (OSC). Guilfoos leads the HPC Client Services Group, which provides training and user support to facilitate the use of computational science by the center's user communities. Guilfoos also works directly with OSC clients to help convert computer codes, develop batch scripting, compiling and code development so that these researchers can efficiently use the center's supercomputers and licensed software.
Guilfoos developed and delivered training in MATLAB as a part of the U.S. Department of Defense High Performance Computing Modernization Program support. Prior to joining OSC, he was contracted by the Air Force Research Laboratory to focus on software development in support of unmanned aerial vehicle (UAV) interface research. He was a key technical member of a team that was awarded the 2004 Scientific and Technological Achievement Award by the AFRL Human Effectiveness Directorate. He earned a master's degree in public policy and administration in 2014 and a bachelor's degree in electrical engineering in 2000, both from The Ohio State University.
Gordon (Ohio State Univ.) and Guilfoos (Ohio Supercomputer Center) provide a practical introduction to the techniques involved in developing computer models and simulating those models. The emphasis in the text is on engineering applications, but natural and social science applications are addressed as well. The presentation is purposely constrained to a depth of coverage suitable for a first undergraduate course in the subject, with useful pointers for students who wish to visit the subject more deeply. The authors do a good job of introducing two computing environments for developing models and simulating them: the MATLAB commercial product and the freely available Python programming language. By judicious choice of Python libraries, the presentation of the two environments are virtually identical, leaving the choice of environment up to the instructor (or student). Readers using Python will need to correct minor errors in the text regarding how to set up the recommended Anaconda environment. Or, they might profitably choose simply to use the standard command line and code editor interface for that language.
--C. Vickery, Queens College of CUNY (CHOICE)