| Preface |
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xi | |
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xiii | |
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SECTION I Getting Your Feet on the Ground |
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1 Building Your Basic Tool Box |
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3 | (24) |
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1.1 Introduction: When are Computer Simulations Useful? |
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3 | (6) |
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1.2 How Much Should a Simulation be Trusted? |
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9 | (2) |
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1.3 Who First Used Them and Why They Came About |
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11 | (4) |
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1.4 What's the State of the Art? What Limits Have Been Pushed? |
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15 | (1) |
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1.5 The Simulation's New Clothes |
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16 | (2) |
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1.6 Computer Modeling is a Very Interdisciplinary Field |
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18 | (2) |
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1.7 What Types of Models are Most Important for Everyday Things? |
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20 | (3) |
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1.8 When Do You Build Your Own Tools and When are Black Boxes the Best? |
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23 | (4) |
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25 | (1) |
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25 | (2) |
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2 Getting to Know the Neighborhood |
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27 | (32) |
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27 | (1) |
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2.2 The UNIX Operating System |
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28 | (8) |
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36 | (1) |
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2.4 A Working Introduction to C++: Basic Coding |
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37 | (8) |
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2.5 How Do I Choose a Good Algorithm? |
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45 | (1) |
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2.6 Compiling, Linking, and Executing Simple Programs |
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46 | (1) |
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2.7 Examples of What Can be Done Wrong: Compile Errors, Execution Errors, and Bugs |
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47 | (5) |
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2.8 Doing it Without a Supercomputer: Computing on Macs and PC's |
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52 | (1) |
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2.9 Mapping Your C++ Knowledge to Other Computing Languages |
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52 | (2) |
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2.10 Critically Thinking about Your Work: Relevance, Applicability, and Limits |
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54 | (1) |
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2.11 Your Work in the Broader Context of the Scientific and Technological Community |
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55 | (4) |
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55 | (2) |
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57 | (1) |
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57 | (2) |
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3 Visualizing Your Work and Representing Your Best Story |
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59 | (42) |
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3.1 Introductory Thoughts |
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59 | (1) |
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3.2 Visualizing Two-Dimensional Data Sets |
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60 | (3) |
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3.3 Visualizing Three-Dimensional Data Sets |
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63 | (1) |
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3.4 Making Pictures and Movies |
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63 | (1) |
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3.5 A Sample Visualization Program |
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64 | (1) |
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3.6 Four- and Higher-Dimensional Visualization: Yes, It Really Works! |
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65 | (1) |
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3.7 Cross-Sensory Visualization: What If You Can't See or Hear? |
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66 | (2) |
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3.8 Limiting Cases and Effective (Reduced) Systems |
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68 | (3) |
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3.9 Visualizing Calculus Part I: Derivatives |
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71 | (2) |
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3.10 Visualizing Calculus Part II: Integrals |
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73 | (2) |
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3.11 Critically Thinking about How Best to Visualize Your Results |
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75 | (1) |
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3.12 Examples of Visualization and Presentation of Data |
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75 | (8) |
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3.13 Visualizing Various Stages of Cancer Cell Growth |
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83 | (18) |
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95 | (2) |
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97 | (4) |
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SECTION II Models of Everyday Things |
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4 Things We See in the News: The Fun and the Dangerous |
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101 | (50) |
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4.1 Modeling the Flight of Objects through Fluids: Using Science to Play a Better Game |
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101 | (10) |
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4.2 Physics on the Field: Achieving More Efficient Football Tackles |
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111 | (13) |
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4.3 A Physics Nerd, a Cool Guy, and a Pool Table |
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124 | (13) |
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4.4 Understanding Things of Danger in Hindsight and Foresight |
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137 | (4) |
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141 | (10) |
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147 | (3) |
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150 | (1) |
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5 The Many Faces of Music |
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151 | (22) |
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5.1 Introductory Thoughts |
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151 | (1) |
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5.2 A Finite Difference Simulation of a Guitar String |
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151 | (4) |
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5.3 A Little Mathematical Overhead that Provides a Wealth of Understanding |
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155 | (3) |
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5.4 Living in 2D: Sheets and Drums |
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158 | (3) |
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5.5 Sometimes You Win and Sometimes You Lose: Advantages and Disadvantages of Each Method |
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161 | (1) |
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5.6 When Resonance Isn't Your Friend: The Tacoma Narrows Bridge |
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161 | (1) |
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5.7 Matter Waves: Schrodinger's Equation |
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162 | (11) |
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171 | (1) |
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172 | (1) |
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173 | (52) |
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6.1 Introductory Thoughts |
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173 | (1) |
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6.2 How Fluids Move around Boundaries |
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174 | (6) |
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6.3 A Sample Program that Calculates Wind Velocity in Cartesian Coordinates |
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180 | (11) |
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191 | (3) |
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6.5 A Sample Program that Simulates a Snowstorm |
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194 | (9) |
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6.6 How Fluids Move through Porous Media |
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203 | (13) |
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216 | (9) |
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220 | (2) |
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222 | (3) |
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SECTION III Beyond Everyday Phenomena |
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7 One of the Most Versatile Simulation Tools Around |
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225 | (44) |
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225 | (1) |
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7.2 Theory Behind the Material Point Method |
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225 | (7) |
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7.3 A Material Point Method Program |
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232 | (28) |
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7.4 Applications of the Material Point Method Simulation |
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260 | (9) |
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266 | (1) |
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267 | (2) |
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8 Simulations that Explore Atoms and Planets |
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269 | (52) |
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8.1 Introduction to Molecular Dynamics Computer Simulations |
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269 | (1) |
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8.2 Molecular Dynamics Simulation of a System of Particles |
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270 | (18) |
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8.3 Monte Carlo Simulations |
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288 | (13) |
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8.4 How Do We Choose MD or MC? |
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301 | (2) |
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8.5 The Dynamics of Planetary and Galactic Systems |
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303 | (10) |
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8.6 Advanced Planetary Dynamics Methods Designed to Save Time: Go Climb a Tree |
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313 | (8) |
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314 | (2) |
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316 | (5) |
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SECTION IV A Glimpse into More Advanced Computing |
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9 Parallel Computing, Scripting and GPU's |
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321 | (18) |
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9.1 Introductory Thoughts |
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321 | (1) |
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9.2 Decompositions: Breaking Up is Easy to Do |
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322 | (1) |
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9.3 Example Parallel Programs |
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322 | (12) |
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9.4 Compiling and Executing MPI Codes |
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334 | (1) |
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334 | (2) |
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9.6 Graphics Processing Units (GPU's) |
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336 | (3) |
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336 | (2) |
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338 | (1) |
| Appendix A Integrated C++ / Python Simulation of Guitar Sounds |
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339 | (6) |
| Index |
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345 | |
Lisainfo e-raamatute kohta