Solving problems in scientific computing using Maple and MATLAB: with 12 tables
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1997
|
| Ausgabe: | 3., expanded and rev. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 408 S. graph. Darst. |
| ISBN: | 3540617930 |
Internformat
MARC
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| 245 | 1 | 0 | |a Solving problems in scientific computing using Maple and MATLAB |b with 12 tables |c Walter Gander ; Jiří Hřebíček |
| 250 | |a 3., expanded and rev. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1997 | |
| 300 | |a XVII, 408 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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Datensatz im Suchindex
| _version_ | 1804125838669512705 |
|---|---|
| adam_text | 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 4
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 17
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 33
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 ft2 to Maximize the Illumination 43
3.4 Optimal Illumination 45
3.5 Conclusion 50
References 50
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 71
xii CONTENTS
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 80
References 81
Chapter 6. Some Least Squares Problems 83
6.1 Introduction 83
6.2 Fitting Lines, Rectangles and Squares in the Plane 83
6.3 Fitting Hyperplanes 95
References 101
Chapter 7. The Generalized Billiard Problem .... 103
7.1 Introduction 103
7.2 The Generalized Reflection Method 103
7.2.1 Line and Curve Reflection 104
7.2.2 Mathematical Description 105
7.2.3 Maple Solution 106
7.3 The Shortest Trajectory Method 107
7.3.1 Maple Solution 108
7.4 Examples 108
7.4.1 The Circular Billiard Table 108
7.4.2 The Elliptical Billiard Table 113
7.4.3 The Snail Billiard Table 116
7.4.4 The Star Billiard Table 116
7.5 Conclusions 119
References 121
Chapter 8. Mirror Curves 123
8.1 The Interesting Waste 123
8.2 The Mirror Curves Created by Maple 123
8.3 The Inverse Problem 125
8.3.1 Outflanking Manoeuvre 125
8.3.2 Geometrical Construction of a Point on the
Pattern Curve 126
8.3.3 Maple Solution 127
8.3.4 Analytic Solution 128
8.4 Examples 128
8.4.1 The Circle as the Mirror Curve 128
8.4.2 The Line as the Mirror Curve 131
8.5 Conclusions 132
References 134
CONTENTS xiii
Chapter 9. Smoothing Filters 135
9.1 Introduction 135
9.2 Savitzky Golay Filter 135
9.2.1 Filter Coefficients 136
9.2.2 Results 139
9.3 Least Squares Filter 139
9.3.1 Lagrange Equations 141
9.3.2 Zero Finder 143
9.3.3 Evaluation of the Secular Function 144
9.3.4 MEX Files 146
9.3.5 Results 150
References 152
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 163
Chapter 11. Conformal Mapping of a Circle 165
11.1 Introduction 165
11.2 Problem Outline 165
11.3 Maple Solution 166
11.4 Matlab Solution 170
References 172
Chapter 12. The Spinning Top 173
12.1 Introduction 173
12.2 Formulation and Basic Analysis of the Solution . . 175
12.3 The Numerical Solution 180
References 182
Chapter 13. The Calibration Problem 183
13.1 Introduction 183
13.2 The Physical Model Description 183
13.3 Approximation by Splitting the Solution 186
13.4 Conclusions 191
References 192
Chapter 14. Heat Flow Problems 193
14.1 Introduction 193
14.2 Heat Flow through a Spherical Wall 193
14.2.1 A Steady State Heat Flow Model 194
xiv CONTENTS
14.2.2 Fourier Model for Steady State 195
14.2.3 Maple Plots 196
14.3 Non Stationary Heat Flow through
an Agriculture Field 197
14.3.1 Maple Plots 201
References 201
Chapter 15. Modeling Penetration Phenomena . . . 203
15.1 Introduction 203
15.2 Short description of the penetration theory 203
15.3 The Tate Alekseevskii model 205
15.3.1 Special case Rt = Yp 207
15.3.2 Special case pp = pt = p 207
15.4 The eroding rod penetration model 209
15.5 Numerical Example . 214
15.6 Conclusions 218
References 218
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 235
17.5 Non centered bases 238
17.6 Three Dimensional Graphical Representation
of the Distorted Body 242
17.6.1 Centered base 242
17.6.2 Non centered, Segmented Base 244
17.6.3 Convex Polygon Base 246
17.7 Three Dimensional Animation 248
17.8 Limitations and Conclusions 250
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
CONTENTS xv
18.6 Gauss Lobatto Quadrature Rule 271
18.7 Weights 274
18.8 Quadrature Error 275
References 277
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 Grobner Bases 286
19.3.2 Resultants 289
19.4 The Complete Algorithm 291
19.4.1 Example 1: 291
19.4.2 Example 2: 292
19.5 Conclusions 295
References 296
Chapter 20. Transient Response of a
Two Phase Half Wave Rectifier 297
20.1 Introduction 297
20.2 Problem Outline 297
20.3 Difficulties in Applying Conventional Codes
and Software Packages 300
20.4 Solution by Means of Maple 302
References 308
Chapter 21. Circuits in Power Electronics 309
21.1 Introduction 309
21.2 Linear Differential Equations
with Piecewise Constant Coefficients 311
21.3 Periodic Solutions 314
21.4 A Matlab Implementation 315
21.5 Conclusions 320
References 320
Chapter 22. Newton s and Kepler s laws 321
22.1 Introduction 321
22.2 Equilibrium of Two Forces 321
22.3 Equilibrium of Three Forces 322
22.4 Equilibrium of Three Forces, Computed from
the Potential Energy 324
22.5 Gravitation of the Massive Line Segment 326
22.5.1 Potential and Intensity 326
22.5.2 The Particle Trajectory 329
xvi CONTENTS
22.6 The Earth Satellite 330
22.7 Earth Satellite, Second Solution 333
22.8 The Lost Screw 335
22.9 Conclusions 336
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 344
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 p = const 364
25.4 The Contour Lines r = 1 of / = en 366
25.5 The Contour Lines p = const of / = en 370
References 372
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 378
CONTENTS xvii
Chapter 27. Computing Plane Sundials 381
27.1 Introduction 381
27.2 Astronomical Fundamentals 381
27.2.1 Coordinate Systems 382
27.2.2 The Gnomonic Projection 384
27.3 Time Marks 386
27.3.1 Local Real Time 386
27.3.2 Mean Time 387
27.3.3 Babylonic and Italic Hours 392
27.4 Sundials on General Planes 393
27.5 A Concluding Example 394
References 396
Index 397
Index of used Maple Commands 403
Index of used Matlab Commands 407
|
| any_adam_object | 1 |
| author | Gander, Walter 1944- Hřebíček, Jiří 1947-2017 |
| author_GND | (DE-588)1012150275 (DE-588)1051306183 |
| author_facet | Gander, Walter 1944- Hřebíček, Jiří 1947-2017 |
| author_role | aut aut |
| author_sort | Gander, Walter 1944- |
| author_variant | w g wg j h jh |
| building | Verbundindex |
| bvnumber | BV011329659 |
| callnumber-first | Q - Science |
| callnumber-label | Q183 |
| callnumber-raw | Q183.9.G36 1997 |
| callnumber-search | Q183.9.G36 1997 |
| callnumber-sort | Q 3183.9 G36 41997 |
| callnumber-subject | Q - General Science |
| classification_rvk | ST 600 ST 601 |
| classification_tum | DAT 306f |
| ctrlnum | (OCoLC)845403616 (DE-599)BVBBV011329659 |
| dewey-full | 530/.0285/5321 530.028553 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530/.0285/53 21 530.028553 |
| dewey-search | 530/.0285/53 21 530.028553 |
| dewey-sort | 3530 3285 253 221 |
| dewey-tens | 530 - Physics |
| discipline | Physik Informatik |
| edition | 3., expanded and rev. ed. |
| format | Book |
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| genre | 1\p (DE-588)4144384-6 Beispielsammlung gnd-content |
| genre_facet | Beispielsammlung |
| id | DE-604.BV011329659 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:07:55Z |
| institution | BVB |
| isbn | 3540617930 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007612753 |
| oclc_num | 845403616 |
| open_access_boolean | |
| owner | DE-29T DE-91G DE-BY-TUM DE-20 DE-706 DE-521 DE-522 DE-83 DE-11 DE-188 |
| owner_facet | DE-29T DE-91G DE-BY-TUM DE-20 DE-706 DE-521 DE-522 DE-83 DE-11 DE-188 |
| physical | XVII, 408 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| spelling | Gander, Walter 1944- Verfasser (DE-588)1012150275 aut Solving problems in scientific computing using Maple and MATLAB with 12 tables Walter Gander ; Jiří Hřebíček 3., expanded and rev. ed. Berlin [u.a.] Springer 1997 XVII, 408 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Maple (Computer file) MATLAB. Datenverarbeitung Naturwissenschaft Science -- Data processing Wissenschaftliches Rechnen (DE-588)4338507-2 gnd rswk-swf MATLAB (DE-588)4329066-8 gnd rswk-swf MATLAB 6.5 (DE-588)4709551-9 gnd rswk-swf Maple 7 (DE-588)4668070-6 gnd rswk-swf Maple Programm (DE-588)4209397-1 gnd rswk-swf Maple V 4.0 (DE-588)4407788-9 gnd rswk-swf Maple V (DE-588)4276266-2 gnd rswk-swf MATLAB 6.0 (DE-588)4609587-1 gnd rswk-swf 1\p (DE-588)4144384-6 Beispielsammlung gnd-content MATLAB (DE-588)4329066-8 s DE-604 Maple V 4.0 (DE-588)4407788-9 s MATLAB 6.5 (DE-588)4709551-9 s Maple Programm (DE-588)4209397-1 s Wissenschaftliches Rechnen (DE-588)4338507-2 s 2\p DE-604 Maple 7 (DE-588)4668070-6 s 3\p DE-604 MATLAB 6.0 (DE-588)4609587-1 s 4\p DE-604 Maple V (DE-588)4276266-2 s 5\p DE-604 Hřebíček, Jiří 1947-2017 Verfasser (DE-588)1051306183 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007612753&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gander, Walter 1944- Hřebíček, Jiří 1947-2017 Solving problems in scientific computing using Maple and MATLAB with 12 tables Maple (Computer file) MATLAB. Datenverarbeitung Naturwissenschaft Science -- Data processing Wissenschaftliches Rechnen (DE-588)4338507-2 gnd MATLAB (DE-588)4329066-8 gnd MATLAB 6.5 (DE-588)4709551-9 gnd Maple 7 (DE-588)4668070-6 gnd Maple Programm (DE-588)4209397-1 gnd Maple V 4.0 (DE-588)4407788-9 gnd Maple V (DE-588)4276266-2 gnd MATLAB 6.0 (DE-588)4609587-1 gnd |
| subject_GND | (DE-588)4338507-2 (DE-588)4329066-8 (DE-588)4709551-9 (DE-588)4668070-6 (DE-588)4209397-1 (DE-588)4407788-9 (DE-588)4276266-2 (DE-588)4609587-1 (DE-588)4144384-6 |
| title | Solving problems in scientific computing using Maple and MATLAB with 12 tables |
| title_auth | Solving problems in scientific computing using Maple and MATLAB with 12 tables |
| title_exact_search | Solving problems in scientific computing using Maple and MATLAB with 12 tables |
| title_full | Solving problems in scientific computing using Maple and MATLAB with 12 tables Walter Gander ; Jiří Hřebíček |
| title_fullStr | Solving problems in scientific computing using Maple and MATLAB with 12 tables Walter Gander ; Jiří Hřebíček |
| title_full_unstemmed | Solving problems in scientific computing using Maple and MATLAB with 12 tables Walter Gander ; Jiří Hřebíček |
| title_short | Solving problems in scientific computing using Maple and MATLAB |
| title_sort | solving problems in scientific computing using maple and matlab with 12 tables |
| title_sub | with 12 tables |
| topic | Maple (Computer file) MATLAB. Datenverarbeitung Naturwissenschaft Science -- Data processing Wissenschaftliches Rechnen (DE-588)4338507-2 gnd MATLAB (DE-588)4329066-8 gnd MATLAB 6.5 (DE-588)4709551-9 gnd Maple 7 (DE-588)4668070-6 gnd Maple Programm (DE-588)4209397-1 gnd Maple V 4.0 (DE-588)4407788-9 gnd Maple V (DE-588)4276266-2 gnd MATLAB 6.0 (DE-588)4609587-1 gnd |
| topic_facet | Maple (Computer file) MATLAB. Datenverarbeitung Naturwissenschaft Science -- Data processing Wissenschaftliches Rechnen MATLAB MATLAB 6.5 Maple 7 Maple Programm Maple V 4.0 Maple V MATLAB 6.0 Beispielsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007612753&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT ganderwalter solvingproblemsinscientificcomputingusingmapleandmatlabwith12tables AT hrebicekjiri solvingproblemsinscientificcomputingusingmapleandmatlabwith12tables |