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Introduction to Computational Science : Modeling and Simulation for the Sciences - Angela B. Shiflet

Introduction to Computational Science

Modeling and Simulation for the Sciences


Published: 2nd May 2006
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Computational science is a quickly emerging field at the intersection of the sciences, computer science, and mathematics because much scientific investigation now involves computing as well as theory and experiment. However, limited educational materials exist in this field. "Introduction to Computational Science" fills this void with a flexible, readable textbook that assumes only a background in high school algebra and enables instructors to follow tailored pathways through the material. It is the first textbook designed specifically for an introductory course in the computational science and engineering curriculum.

The text embraces two major approaches to computational science problems: System dynamics models with their global views of major systems that change with time; and cellular automaton simulations with their local views of how individuals affect individuals. While the text is generic, an extensive author-generated Web-site contains tutorials and files in a variety of software packages to accompany the text.Generic software approach in the text Web site with tutorials and files in a variety of software packages Engaging examples, exercises, and projects that explore science Additional, substantial projects for students to develop individually or in teams Consistent application of the modeling process Quick review questions and answers Projects for students to develop individually or in teams Reference sections for most modules, as well as a glossary Online instructor's manual with a test bank and solutions

"The heart of Introduction to Computational Science is a collection of modules. Each module is either a discussion of a general computational issue or an investigation of an application... [This book] has been carefully written with students clearly in mind."--Bill Satzer, MAA Reviews "Introduction to Computational Science is useful for students and others who want to obtain some of the basic skills of the field. Its impressive collection of projects allows readers to quickly enjoy the power of modern computing as an essential tool in building scientific understanding."--Wouter van Jollingen, Physics Today "I think this text is a masterpiece. I know of nothing comparable. I give it five stars."--JamesM. Cargal, UMAP Journal

Prefacep. xix
Overview Module
Overview of Computational Sciencep. 3
Projectsp. 5
Referencesp. 5
The Modeling Processp. 6
Introductionp. 6
Model Classificationsp. 7
Steps of the Modeling Processp. 8
Exercisesp. 11
Referencesp. 11
Fundamental Considerations Module
Computational Toolbox--Tools of the Trade: Tutorial 1p. 15
Downloadp. 15
Introductionp. 16
Errorsp. 17
Introductionp. 17
Data Errorsp. 17
Modeling Errorsp. 17
Implementation Errorsp. 18
Precisionp. 18
Absolute and Relative Errorsp. 19
Round-off Errorp. 21
Overflow and Underflowp. 22
Arithmetic Errorsp. 23
Error Propagationp. 24
Violation of Numeric Propertiesp. 27
Comparison of Floating Point Numbersp. 27
Truncation Errorp. 29
Exercisesp. 31
Projectsp. 32
Answers to Quick Review Questionsp. 34
Referencesp. 35
Rate of Changep. 36
Introductionp. 36
Vel o c ityp. 36
Derivativep. 41
Slope of Tangent Linep. 42
Differential Equationsp. 47
Second Derivativep. 48
Exercisesp. 49
Projectp. 51
Answers to Quick Review Questionsp. 51
Referencep. 52
Fundamental Concepts of Integral Calculusp. 53
Introductionp. 53
Total Distance Traveled and Areap. 53
Definite Integralp. 60
Total Changep. 61
Fundamental Theorem of Calculusp. 62
Differential Equations Revisitedp. 64
Exercisesp. 64
Projectp. 66
Answers to Quick Review Questionsp. 66
Referencesp. 67
System Dynamics Problems with Rate Proportional to Amount Module
System Dynamics Tool: Tutorial 1p. 71
Downloadp. 71
Introductionp. 71
Unconstrained Growth and Decayp. 73
Introductionp. 73
Differential Equationp. 73
Difference Equationp. 74
Simulation Programp. 78
Analytical Solution Introductionp. 79
Analytical Solution: Explanation with Indefinite Integralsp. 79
Analytical Solution: Explanation without Indefinite Integralsp. 80
Completion of Analytical Solutionp. 80
Further Refinementp. 82
Unconstrained Decayp. 82
Exercisesp. 84
Projectsp. 85
Answers to Quick Review Questionsp. 86
Referencep. 86
Constrained Growthp. 87
Introductionp. 87
Carrying Capacityp. 87
Revised Modelp. 89
Equilibrium and Stabilityp. 91
Exercisesp. 92
Projectsp. 93
Answers to Quick Review Questionsp. 95
Referencesp. 96
System Dynamics Tool: Tutorial 2p. 97
Downloadp. 97
Introductionp. 97
Drug Dosagep. 98
Downloadsp. 98
Introductionp. 98
One-Compartment Model of Single Dosep. 99
One-Compartment Model of Repeated Dosesp. 101
Mathematics of Repeated Dosesp. 103
Sum of Finite Geometric Seriesp. 106
Two-Compartment Modelp. 106
Exercisesp. 107
Projectsp. 108
Answers to Quick Review Questionsp. 109
Referencesp. 110
Force and Motion Modulep. 4
Modeling Falling and Skydivingp. 113
Downloadsp. 113
Introductionp. 113
Acceleration, Velocity, and Positionp. 114
Physics Backgroundp. 117
Friction During Fallp. 120
Modeling a Skydivep. 122
Assessment of the Skydive Modelp. 124
Exercisesp. 125
Projectsp. 125
Answers to Quick Review Questionsp. 127
Referencesp. 128
Modeling Bungee Jumpingp. 129
Downloadsp. 129
Introductionp. 129
Physics Backgroundp. 130
Vertical Springsp. 132
Modeling a Bungee Jumpp. 135
Exercisesp. 137
Projectsp. 137
Answers to Quick Review Questionsp. 138
Referencesp. 139
Tick Tock--The Pendulum Clockp. 140
Downloadp. 140
Introductionp. 140
Simple Pendulump. 141
Linear Dampingp. 144
Pendulum Clockp. 144
Exercisesp. 145
Projectsp. 146
Answers to Quick Review Questionsp. 147
Referencesp. 147
Up, Up, and Away--Rocket Motionp. 149
Downloadp. 149
Introductionp. 149
Physics Backgroundp. 150
System Dynamics Modelp. 152
Exercisesp. 154
Projectsp. 155
Answers to Quick Review Questionsp. 157
Referencesp. 157
Simulation Techniques Module
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780691125657
ISBN-10: 0691125651
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 656
Published: 2nd May 2006
Publisher: Princeton University Press
Country of Publication: US
Dimensions (cm): 26.3 x 18.5  x 3.7
Weight (kg): 1.169