Introduction to Computational Science Modeling and Simulation for the Sciences

ISBN-10: 0691125651

ISBN-13: 9780691125657

Edition: 2006

List price: $99.95
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Description:

Designed specifically for an introductory course in the computational science and engineering curriculum, this text embraces two major approaches: 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.
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Book details

List price: $99.95
Copyright year: 2006
Publisher: Princeton University Press
Publication date: 5/22/2006
Binding: Hardcover
Pages: 584
Size: 7.25" wide x 10.00" long x 1.50" tall
Weight: 2.838
Language: English

Preface
Overview Module
Overview of Computational Science
Projects
References
Module
The Modeling Process
Introduction
Model Classifications
Steps of the Modeling Process
Exercises
References
Fundamental Considerations Module
Computational Toolbox--Tools of the Trade: Tutorial 1
Download
Introduction
Module
Errors
Introduction
Data Errors
Modeling Errors
Implementation Errors
Precision
Absolute and Relative Errors
Round-off Error
Overflow and Underflow
Arithmetic Errors
Error Propagation
Violation of Numeric Properties
Comparison of Floating Point Numbers
Truncation Error
Exercises
Projects
Answers to Quick Review Questions
References
Module
Rate of Change
Introduction
Vel o c ity
Derivative
Slope of Tangent Line
Differential Equations
Second Derivative
Exercises
Project
Answers to Quick Review Questions
Reference
Module
Fundamental Concepts of Integral Calculus
Introduction
Total Distance Traveled and Area
Definite Integral
Total Change
Fundamental Theorem of Calculus
Differential Equations Revisited
Exercises
Project
Answers to Quick Review Questions
References
System Dynamics Problems with Rate Proportional to Amount Module
System Dynamics Tool: Tutorial 1
Download
Introduction
Module
Unconstrained Growth and Decay
Introduction
Differential Equation
Difference Equation
Simulation Program
Analytical Solution Introduction
Analytical Solution: Explanation with Indefinite Integrals
Analytical Solution: Explanation without Indefinite Integrals
Completion of Analytical Solution
Further Refinement
Unconstrained Decay
Exercises
Projects
Answers to Quick Review Questions
Reference
Module
Constrained Growth
Introduction
Carrying Capacity
Revised Model
Equilibrium and Stability
Exercises
Projects
Answers to Quick Review Questions
References
Module
System Dynamics Tool: Tutorial 2
Download
Introduction
Module
Drug Dosage
Downloads
Introduction
One-Compartment Model of Single Dose
One-Compartment Model of Repeated Doses
Mathematics of Repeated Doses
Sum of Finite Geometric Series
Two-Compartment Model
Exercises
Projects
Answers to Quick Review Questions
References
Force and Motion Module
Modeling Falling and Skydiving
Downloads
Introduction
Acceleration, Velocity, and Position
Physics Background
Friction During Fall
Modeling a Skydive
Assessment of the Skydive Model
Exercises
Projects
Answers to Quick Review Questions
References
Module
Modeling Bungee Jumping
Downloads
Introduction
Physics Background
Vertical Springs
Modeling a Bungee Jump
Exercises
Projects
Answers to Quick Review Questions
References
Module
Tick Tock--The Pendulum Clock
Download
Introduction
Simple Pendulum
Linear Damping
Pendulum Clock
Exercises
Projects
Answers to Quick Review Questions
References
Module
Up, Up, and Away--Rocket Motion
Download
Introduction
Physics Background
System Dynamics Model
Exercises
Projects
Answers to Quick Review Questions
References
Simulation Techniques Module
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