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Solving problems in scientific computing using Maple and MATLAB 4th ed

Solving problems in scientific computing using Maple and MATLAB 4th ed (Loan 6 times)

Material type
단행본
Personal Author
Gander, Walter. aHrebicek, Jiri, 1947-.
Title Statement
Solving problems in scientific computing using Maple and MATLAB / Walter Gander, Jiri Hrebicek.
판사항
4th ed.
Publication, Distribution, etc
Berlin ;   London :   Springer,   c2004.  
Physical Medium
xxii, 476 p. : ill. ; 24 cm.
ISBN
3540211276 (pbk.) :
General Note
Previous ed.: 1997.  
Bibliography, Etc. Note
Includes bibliographical references.
Subject Added Entry-Topical Term
Science -- Data processing.
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001 000045649247
005 20110523142707
008 050518s2004 gw a 001 0 eng
015 ▼a GBA4W8476 ▼2 bnb
020 ▼a 3540211276 (pbk.) : ▼c ?8.50
035 ▼a (KERIS)BIB000009835726
040 ▼a StDuBDS ▼d 244002
082 0 0 ▼a 006.8 ▼2 22
084 ▼a 006.8 ▼2 DDCK
090 ▼a 006.8 ▼b G195s4
100 1 ▼a Gander, Walter.
245 1 0 ▼a Solving problems in scientific computing using Maple and MATLAB / ▼c Walter Gander, Jiri Hrebicek.
250 ▼a 4th ed.
260 ▼a Berlin ; ▼a London : ▼b Springer, ▼c c2004.
300 ▼a xxii, 476 p. : ▼b ill. ; ▼c 24 cm.
500 ▼a Previous ed.: 1997.
504 ▼a Includes bibliographical references.
630 0 ▼a MATLAB. (Computer file).
650 0 ▼a Science ▼x Data processing.
700 1 0 ▼a aHrebicek, Jiri, ▼d 1947-.

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Sejong Academic Information Center/Science & Technology/ Call Number 006.8 G195s4 Accession No. 151300200 Availability Available Due Date Make a Reservation Service C

Contents information

Table of Contents


CONTENTS
Chapter 1. The Tractrix and Similar Curves = 1
 1.1 Introduction = 1
 1.2 The Classical Tractrix = 1
 1.3 The Child and the Toy = 3
 1.4 The Jogger and the Dog = 6
 1.5 Showing the Motions with MATLAB = 12
 1.6 Jogger with Constant Velocity = 15
 1.7 Using a Moving Coordinate System = 16
  1.7.1 Transformation for Jogger/Dog = 18
  1.7.2 Transformation for Child/Toy = 20
 1.8 Examples = 22
 References = 25
Chapter 2. Trajectory of a Spinning Tennis Ball = 27
 2.1 Introduction = 27
 2.2 MAPLE Solution = 29
 2.3 MATLAB Solution = 32
 2.4 Simpler Solution for MATLAB 5 = 35
 References = 37
Chapter 3. The Illumination Problem = 39
 3.1 Introduction = 39
 3.2 Finding the Minimal Illumination Point on a Road = 40
 3.3 Varying h₂ to Maximize the Illumination = 42
 3.4 Optimal Illumination = 45
 3.5 Conclusion = 49
 References = 49
Chapter 4. Orbits in the Planar Three-Body Problem = 51
 4.1 Introduction = 51
 4.2 Equations of Motion in Physical Coordinates = 52
 4.3 Global Regularization = 56
 4.4 The Pythagorean Three-Body Problem = 62
 4.5 Conclusions = 70
 References = 72
Chapter 5. The Internal Field in Semiconductors = 73
 5.1 Introduction = 73
 5.2 Solving a Nonlinear Poisson Equation Using MAPLE = 74
 5.3 MATLAB Solution = 75
 References = 79
Chapter 6. Some Least Squares Problems = 81
 6.1 Introduction = 81
 6.2 Fitting Lines, Rectangles and Squares in the Plane = 81
 6.3 Fitting Hyperplanes = 93
 References = 99
Chapter 7. The Generalized Billiard Problem = 101
 7.1 Introduction = 101
 7.2 The Generalized Reflection Method = 101
  7.2.1 Line and Curve Reflection = 102
  7.2.2 Mathematical Description = 103
  7.2.3 MAPLE Solution = 104
 7.3 The Shortest Trajectory Method = 105
  7.3.1 MAPLE Solution = 106
 7.4 Examples = 106
  7.4.1 The Circular Billiard Table = 106
  7.4.2 The Elliptical Billiard Table = 110
  7.4.3 The Snail Billiard Table = 114
  7.4.4 The Star Billiard Table = 114
 7.5 Conclusions = 117
 References = 119
Chapter 8. Mirror Curves = 121
 8.1 The Interesting Waste = 121
 8.2 The Mirror Curves Created by MAPLE = 121
 8.3 The Inverse Problem = 123
  8.3.1 Outflanking Manoeuvre = 123
  8.3.2 Geometrical Construction of a Point on the Pattern Curve = 124
  8.3.3 MAPLE Solution = 125
  8.3.4 Analytic Solution = 126
 8.4 Examples = 126
  8.4.1 The Circle as the Mirror Curve = 126
  8.4.2 The Line as the Mirror Curve = 128
 8.5 Conclusions = 129
 References = 132
Chapter 9. Smoothing Filters = 133
 9.1 Introduction = 133
 9.2 Savitzky-Golay Filter = 133
  9.2.1 Filter Coefficients = 134
  9.2.2 Results = 137
 9.3 Least Squares Filter = 138
  9.3.1 Lagrange Equations = 139
  9.3.2 Zero Finder = 141
  9.3.3 Evaluation of the Secular Function = 142
  9.3.4 MEX-Files = 144
  9.3.5 Results = 148
 References = 150
Chapter 10. The Radar Problem = 153
 10.1 Introduction = 153
 10.2 Converting Degrees into Radians = 154
 10.3 Transformation into Geocentric Coordinates = 155
 10.4 The Transformations = 158
 10.5 Final Algorithm = 160
 10.6 Practical Example = 160
 References = 162
Chapter 11. Conformal Mapping of a Circle = 163
 11.1 Introduction = 163
 11.2 Problem Outline = 163
 11.3 MAPLE Solution = 164
 11.4 MATLAB Solution = 168
 References = 170
Chapter 12. The Spinning Top = 171
 12.1 Introduction = 171
 12.2 Formulation and Basic Analysis of the Solution = 173
 12.3 The Numerical Solution = 178
 References = 180
Chapter 13. The Calibration Problem = 181
 13.1 Introduction = 181
 13.2 The Physical Model Description = 181
 13.3 Approximation by Splitting the Solution = 184
 13.4 Conclusions = 189
 References = 190
Chapter 14. Heat Flow Problems = 191
 14.1 Introduction = 191
 14.2 Heat Flow through a Spherical Wall = 191
  14.2.1 A Steady State Heat Flow Model = 192
  14.2.2 Fourier Model for Steady State = 193
  14.2.3 MAPLE Plots = 194
 14.3 Non Stationary Heat Flow through an Agriculture Field = 195
  14.3.1 MAPLE Plots = 199
 References = 199
Chapter 15. Modeling Penetration Phenomena = 201
 15.1 Introduction = 201
 15.2 Short description of the penetration theory = 201
 15.3 The Tate-Alekseevskii model = 203
  15.3.1 Special case $$R_t$$$$Y_p$$ = 205
  15.3.2 Special case $$ρ_p$$$$ρ_t$$ = ρ = 205
 15.4 The eroding rod penetration model = 207
 15.5 Numerical Example = 213
 15.6 Conclusions = 216
 References = 216
Chapter 16. Heat Capacity of System of Bose Particles = 219
 16.1 Introduction = 219
 16.2 MAPLE Solution = 221
 References = 225
Chapter 17. Free Metal Compression = 227
 17.1 Introduction = 227
 17.2 The Base Expansion = 229
 17.3 Base Described by One and Several Functions = 231
 17.4 The Lateral Side Distortion = 233
 17.5 Non-centered Bases = 237
 17.6 Three Dimensional Graphical Representation of the Distorted Body = 240
  17.6.1 Centered base = 240
  17.6.2 Non-centered, Segmented Base = 244
  17.6.3 Convex Polygon Base = 246
 17.7 Three Dimensional Animation = 247
 17.8 Limitations and Conclusions = 248
 References = 250
Chapter 18. Gauss Quadrature = 251
 18.1 Introduction = 251
 18.2 Orthogonal Polynomials = 252
 18.3 Quadrature Rule = 266
 18.4 Gauss Quadrature Rule = 267
 18.5 Gauss-Radau Quadrature Rule = 268
 18.6 Gauss-Lobatto Quadrature Rule = 271
 18.7 Weights = 274
 18.8 Quadrature Error = 275
 References = 278
Chapter 19. Symbolic Computation of Explicit Runge-Kutta Formulas = 281
 19.1 Introduction = 281
 19.2 Derivation of the Equations for the Parameters = 283
 19.3 Solving the System of Equations = 285
  19.3.1 Gr$$\ddot o$$bner Bases = 287
  19.3.2 Resultants = 290
 19.4 The Complete Algorithm = 292
  19.4.1 Example 1 : = 292
  19.4.2 Example 2 : = 293
 19.5 Conclusions = 296
 References = 297
Chapter 20. Transient Response of a Two-Phase Half-Wave Rectifier = 299
 20.1 Introduction = 299
 20.2 Problem Outline = 299
 20.3 Difficulties in Applying Conventional Codes and Software Packages = 302
 20.4 Solution by Means of MAPLE = 304
 References = 310
Chapter 21. Circuits in Power Electronics = 311
 21.1 Introduction = 311
 21.2 Linear Differential Equations with Piecewise Constant Coefficients = 313
 21.3 Periodic Solutions = 316
 21.4 A MATLAB Implementation = 317
 21.5 Conclusions = 322
 References = 322
Chapter 22. Newton's and Kepler's laws = 323
 22.1 Introduction = 323
 22.2 Equilibrium of Two Forces = 323
 22.3 Equilibrium of Three Forces = 324
 22.4 Equilibrium of Three Forces, Computed from the Potential Energy = 326
 22.5 Gravitation of the Massive Line Segment = 328
  22.5.1 Potential and Intensity = 328
  22.5.2 The Particle Trajectory = 331
 22.6 The Earth Satellite = 333
 22.7 Earth Satellite, Second Solution = 334
 22.8 The Lost Screw = 336
 22.9 Conclusions = 337
 References = 337
Chapter 23. Least Squares Fit of Point Clouds = 339
 23.1 Introduction = 339
 23.2 Computing the Translation = 339
 23.3 Computing the Orthogonal Matrix = 340
 23.4 Solution of the Procrustes Problem = 341
 23.5 Algorithm = 342
 23.6 Decomposing the Orthogonal Matrix = 343
 23.7 Numerical Examples = 345
  23.7.1 First example = 345
  23.7.2 Second example = 348
 References = 349
Chapter 24. Modeling Social Processes = 351
 24.1 Introduction = 351
 24.2 Modeling Population Migration = 351
  24.2.1 Cyclic Migration without Regulation = 353
  24.2.2 Cyclic Migration with Regulation = 354
 24.3 Modeling Strategic Investment = 356
 References = 358
Chapter 25. Contour Plots of Analytic Functions = 359
 25.1 Introduction = 359
 25.2 Contour Plots by the contour Command = 359
 25.3 Differential Equations = 362
  25.3.1 Contour Lines r = const = 362
  25.3.2 Contour Lines φ = const = 364
 25.4 The Contour Lines r = 1 of f = $$e_n$$ = 366
 25.5 The Contour Lines φ = const of f = $$e_n$$ = 370
 References = 371
Chapter 26. Non Linear Least Squares : Finding the most accurate location of an aircraft = 373
 26.1 Introduction = 373
 26.2 Building the Least Squares Equations = 374
 26.3 Solving the Non-linear System = 376
 26.4 Confidence/Sensitivity Analysis = 379
Chapter 27. Computing Plane Sundials = 383
 27.1 Introduction = 383
 27.2 Astronomical Fundamentals = 383
  27.2.1 Coordinate Systems = 384
  27.2.2 The Gnomonic Projection = 386
 27.3 Time Marks = 388
  27.3.1 Local Real Time = 388
  27.3.2 Mean Tune = 389
  27.3.3 Babylonic and Italic Hours = 394
 27.4 Sundials on General Planes = 395
 27.5 A Concluding Example = 396
 References = 398
Chapter 28. Agriculture Kinematics = 399
 28.1 Introduction = 399
 28.2 Modeling of the chain - Trajectory of the point G = 400
 28.3 Trajectory of point H - The lead end = 401
 28.4 Computing and Plotting Trajectory, Velocity and Acceleration of Scrapers = 404
 28.5 Plotting of the results = 405
 28.6 Rail Described by an Implicit Function = 408
 28.7 Hyperbola Rail(Implicit Function) = 410
 28.8 Rail Described by a Parametric Function = 415
 28.9 Hyperbola Rail(Parametric Function) = 418
 28.10 Conclusions = 420
 References = 421
Chapter 29. The Catenary Curve = 423
 29.1 The Catenary Function = 423
 29.2 Scaling of the Problem = 425
 29.3 Eliminating Unknowns = 426
 29.4 Solution = 427
 29.5 Speed of Convergence = 429
 References = 431
Chapter 30. Least Squares Fit with Piecewise Functions = 433
 30.1 Introduction = 433
 30.2 The Constrained Least Squares Problem = 434
 30.3 Gauss-Newton Solution = 435
 30.4 Structure of the Linearized Problem = 436
 30.5 The Main Program = 438
 30.6 Examples = 441
 30.7 Growth of Pigs = 443
 References = 449
Chapter 31. Portfolio Problems - Solved Online = 451
 31.1 The modified Markowitz model = 451
 31.2 Online solving = 453
  31.2.1 Downloading the Recorded Data = 454
  31.2.2 Computation of the Expected Returns and Volatilities of the Stocks = 455
  31.2.3 Defining the Mathematical Model = 456
  31.2.4 Solving the model with the Nonlinear Programming package = 457
 References = 459
Appendix A. Shared knowledge of Maple and Matlab = 461
 A.1 Introduction = 461
 A.2 Application Centers = 462
  A.2.1 MAPLE Applications Center = 462
  A.2.2 MAPLE Student Center = 462
  A.2.3 MATLAB Student Center = 463
  A.2.4 MATLAB Faculty Center = 463
  A.2.5 MATLAB Central = 463
 A.3 Conclusions = 464
Index = 465
Index of used MAPLE Commands = 471
Index of used MATLAB Commands = 475


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