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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 (6회 대출)

자료유형
단행본
개인저자
Gander, Walter. aHrebicek, Jiri, 1947-.
서명 / 저자사항
Solving problems in scientific computing using Maple and MATLAB / Walter Gander, Jiri Hrebicek.
판사항
4th ed.
발행사항
Berlin ;   London :   Springer,   c2004.  
형태사항
xxii, 476 p. : ill. ; 24 cm.
ISBN
3540211276 (pbk.) :
일반주기
Previous ed.: 1997.  
서지주기
Includes bibliographical references.
일반주제명
Science -- Data processing.
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020 ▼a 3540211276 (pbk.) : ▼c ?8.50
035 ▼a (KERIS)BIB000009835726
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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-.

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 세종학술정보원/과학기술실/ 청구기호 006.8 G195s4 등록번호 151300200 도서상태 대출가능 반납예정일 예약 서비스 C

컨텐츠정보

목차


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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