Solving problems in scientific computing using Maple and MATLAB: with 8 tables
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin u.a.
Springer
1995
|
| Edition: | 2., expanded ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 315 S. graph. Darst. |
| ISBN: | 3540587462 |
Staff View
MARC
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| 245 | 1 | 0 | |a Solving problems in scientific computing using Maple and MATLAB |b with 8 tables |c Walter Gander ; Jiří Hřebíček |
| 250 | |a 2., expanded ed. | ||
| 264 | 1 | |a Berlin u.a. |b Springer |c 1995 | |
| 300 | |a XV, 315 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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Record in the Search Index
| _version_ | 1826484061768515584 |
|---|---|
| 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 3
1.4 The Jogger and the Dog 6
1.5 Showing the Motions with MATLAB 11
References 14
Chapter 2. Trajectory of a Spinning Tennis Ball . 15
2.1 Introduction 15
2.2 Maple Solution 17
2.3 MATLAB Solution 21
References 23
Chapter 3. The Illumination Problem 25
3.1 Introduction 25
3.2 Finding the Minimal Illumination Point on a Road 26
3.3 Varying hi to Maximize the Illumination 29
3.4 Optimal Illumination 31
3.5 Conclusion 36
References 36
Chapter 4. Orbits in the Planar Three Body Problem 37
4.1 Introduction 37
4.2 Equations of Motion in Physical Coordinates . 38
4.3 Global Regularization 42
4.4 The Pythagorean Three Body Problem 47
4.5 Conclusions 55
References 57
Chapter 5. The Internal Field in Semiconductors . . 59
5.1 Introduction 59
5.2 Solving a Nonlinear Poisson Equation Using MAPLE 60
5.3 MATLAB Solution 66
References 67
xii CONTENTS
Chapter 6. Some Least Squares Problems 69
6.1 Introduction 69
6.2 Fitting Lines, Rectangles and Squares in the Plane 69
6.3 Fitting Hyperplanes 81
References 87
Chapter 7. The Generalized Billiard Problem . 89
7.1 Introduction 89
7.2 The Generalized Reflection Method 89
7.2.1 Line and Curve Reflection 90
7.2.2 Mathematical Description 91
7.2.3 Maple Solution 92
7.3 The Shortest Trajectory Method 93
7.3.1 MAPLE Solution 94
7.4 Examples 94
7.4.1 The Circular Billiard Table 94
7.4.2 The Elliptical Billiard Table 98
7.4.3 The Snail Billiard Table 100
7.4.4 The Star Billiard Table 102
7.5 Conclusions 105
References 107
Chapter 8. Mirror Curves 109
8.1 The Interesting Waste 109
8.2 The Mirror Curves Created by MAPLE 109
8.3 The Inverse Problem 110
8.3.1 Outflanking Manoeuvre 110
8.3.2 Geometrical Construction of a Point on the
Pattern Curve 112
8.3.3 MAPLE Solution 113
8.3.4 Analytic Solution 114
8.4 Examples 114
8.4.1 The Circle as the Mirror Curve 114
8.4.2 The Line as the Mirror Curve 117
8.5 Conclusions 118
References 120
Chapter 9. Smoothing Filters 121
9.1 Introduction 121
9.2 Savitzky Golay Filter 121
9.2.1 Filter Coefficients 122
9.2.2 Results 125
9.3 Least Squares Filter 126
CONTENTS xiii
9.3.1 Lagrange Equations 127
9.3.2 Zero Finder 129
9.3.3 Evaluation of the Secular Function 130
9.3.4 MEX Files 133
9.3.5 Results 135
References 139
Chapter 10. The Radar Problem 141
10.1 Introduction 141
10.2 Converting Degrees into Radians 142
10.3 Transformation of Geographical into Geocentric Co¬
ordinates 143
10.4 The Transformations 146
10.5 Final Algorithm 148
10.6 Practical Example 150
References 151
Chapter 11. Conformal Mapping of a Circle 153
11.1 Introduction . . . '.' 153
11.2 Problem Outline 153
11.3 Maple Solution 154
References 159
Chapter 12. The Spinning Top 161
12.1 Introduction 161
12.2 Formulation and Basic Analysis of the Solution . . 163
12.3 The Numerical Solution 168
References 171
Chapter 13. The Calibration Problem 173
13.1 Introduction 173
13.2 The Physical Model Description 173
13.3 Approximation by Splitting the Solution 176
13.4 Conclusions 182
References 182
Chapter 14. Heat Flow Problems 183
14.1 Introduction 183
14.2 Heat Flow through a Spherical Wall 183
14.2.1 A Steady State Heat Flow Model 184
14.2.2 Fourier Model for Steady State 185
14.2.3 Maple Plots 186
14.3 Non Stationary Heat Flow through an Agriculture
Field 187
14.3.1 Maple Plots 191
References 191
xiv CONTENTS
Chapter 15. Modeling Penetration Phenomena . . . 193
15.1 Introduction 193
15.2 Short description of the penetration theory 193
15.3 The Tate Alekseevskii model 195
15.3.1 Special case Rt = Yp 197
15.3.2 Special case pp = pt = p 198
15.4 The eroding rod penetration model 200
15.5 Numerical Example 205
15.6 Conclusions 208
References 208
Chapter 16. Heat Capacity of System of Bose Particles 211
16.1 Introduction 211
16.2 Maple Solution 213
References 218
Chapter 17. Free Metal Compression 219
17.1 Introduction 219
17.2 Disk compression 219
17.2.1 Mathematical and Physical Model 219
17.2.2 Parabolic Perimeter 221
17.2.3 MAPLE Solution 221
17.2.4 Base Radius as Function of Friction 222
17.2.5 Simplification 223
17.2.6 Graphics 224
17.3 Compression of a metal prism 225
17.3.1 The basic functions 228
17.3.2 The lateral sides distortion 231
17.3.3 Graphics 233
17.4 Conclusions 236
References 236
Chapter 18. Gauss Quadrature 237
18.1 Introduction 237
18.2 Orthogonal Polynomials 238
18.3 Quadrature Rule 252
18.4 Gauss Quadrature Rule 253
18.5 Gauss Radau Quadrature Rule 254
18.6 Gauss Lobatto Quadrature Rule 257
18.7 Weights 260
18.8 Quadrature Error 261
References 264
CONTENTS xv
Chapter 19. Symbolic Computation of Explicit Runge
Kutta Formulas 267
19.1 Introduction 267
19.2 Derivation of the Equations for the Parameters . . 269
19.3 Solving the System of Equations 271
19.3.1 Grobner Bases 273
19.3.2 Resultants 275
19.4 The Complete Algorithm 277
19.4.1 Example 1: 279
19.4.2 Example 2: 279
19.5 Conclusions 282
References 283
Chapter 20. Transient Response of a Two Phase Half
Wave Rectifier 285
20.1 Introduction 285
20.2 Problem Outline 285
20.3 Difficulties in Applying Conventional Codes and Soft¬
ware Packages 288
20.4 Solution by Means of Maple 290
References 296
Chapter 21. Circuits in Power Electronics 299
21.1 Introduction 299
21.2 Linear Differential Equations with Piecewise Con¬
stant Coefficients 301
21.3 Periodic Solutions 304
21.4 A MATLAB Implementation 305
21.5 Conclusions 311
References 311 |
| 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 | BV010079722 |
| classification_rvk | ST 250 ST 260 ST 601 |
| classification_tum | DAT 306f |
| ctrlnum | (OCoLC)299812452 (DE-599)BVBBV010079722 |
| dewey-full | 530/.0285/53 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530/.0285/53 |
| dewey-search | 530/.0285/53 |
| dewey-sort | 3530 3285 253 |
| dewey-tens | 530 - Physics |
| discipline | Physik Informatik |
| edition | 2., expanded ed. |
| format | Book |
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| indexdate | 2025-03-13T13:02:18Z |
| institution | BVB |
| isbn | 3540587462 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006690450 |
| oclc_num | 299812452 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-384 DE-92 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-634 DE-83 DE-M100 |
| owner_facet | DE-355 DE-BY-UBR DE-384 DE-92 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-634 DE-83 DE-M100 |
| physical | XV, 315 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer |
| record_format | marc |
| spelling | Gander, Walter 1944- Verfasser (DE-588)1012150275 aut Solving problems in scientific computing using Maple and MATLAB with 8 tables Walter Gander ; Jiří Hřebíček 2., expanded ed. Berlin u.a. Springer 1995 XV, 315 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wissenschaftliches Rechnen - MATLAB Wissenschaftliches Rechnen - Maple <Programm> MATLAB 6.5 (DE-588)4709551-9 gnd rswk-swf Maple V 4.0 (DE-588)4407788-9 gnd rswk-swf Wissenschaftliches Rechnen (DE-588)4338507-2 gnd rswk-swf Maple 7 (DE-588)4668070-6 gnd rswk-swf Maple V (DE-588)4276266-2 gnd rswk-swf MATLAB 6.0 (DE-588)4609587-1 gnd rswk-swf MATLAB (DE-588)4329066-8 gnd rswk-swf Maple Programm (DE-588)4209397-1 gnd rswk-swf 1\p (DE-588)4144384-6 Beispielsammlung gnd-content Maple V 4.0 (DE-588)4407788-9 s DE-604 MATLAB (DE-588)4329066-8 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=006690450&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 8 tables Wissenschaftliches Rechnen - MATLAB Wissenschaftliches Rechnen - Maple <Programm> MATLAB 6.5 (DE-588)4709551-9 gnd Maple V 4.0 (DE-588)4407788-9 gnd Wissenschaftliches Rechnen (DE-588)4338507-2 gnd Maple 7 (DE-588)4668070-6 gnd Maple V (DE-588)4276266-2 gnd MATLAB 6.0 (DE-588)4609587-1 gnd MATLAB (DE-588)4329066-8 gnd Maple Programm (DE-588)4209397-1 gnd |
| subject_GND | (DE-588)4709551-9 (DE-588)4407788-9 (DE-588)4338507-2 (DE-588)4668070-6 (DE-588)4276266-2 (DE-588)4609587-1 (DE-588)4329066-8 (DE-588)4209397-1 (DE-588)4144384-6 |
| title | Solving problems in scientific computing using Maple and MATLAB with 8 tables |
| title_auth | Solving problems in scientific computing using Maple and MATLAB with 8 tables |
| title_exact_search | Solving problems in scientific computing using Maple and MATLAB with 8 tables |
| title_full | Solving problems in scientific computing using Maple and MATLAB with 8 tables Walter Gander ; Jiří Hřebíček |
| title_fullStr | Solving problems in scientific computing using Maple and MATLAB with 8 tables Walter Gander ; Jiří Hřebíček |
| title_full_unstemmed | Solving problems in scientific computing using Maple and MATLAB with 8 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 8 tables |
| title_sub | with 8 tables |
| topic | Wissenschaftliches Rechnen - MATLAB Wissenschaftliches Rechnen - Maple <Programm> MATLAB 6.5 (DE-588)4709551-9 gnd Maple V 4.0 (DE-588)4407788-9 gnd Wissenschaftliches Rechnen (DE-588)4338507-2 gnd Maple 7 (DE-588)4668070-6 gnd Maple V (DE-588)4276266-2 gnd MATLAB 6.0 (DE-588)4609587-1 gnd MATLAB (DE-588)4329066-8 gnd Maple Programm (DE-588)4209397-1 gnd |
| topic_facet | Wissenschaftliches Rechnen - MATLAB Wissenschaftliches Rechnen - Maple <Programm> MATLAB 6.5 Maple V 4.0 Wissenschaftliches Rechnen Maple 7 Maple V MATLAB 6.0 MATLAB Maple Programm Beispielsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006690450&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT ganderwalter solvingproblemsinscientificcomputingusingmapleandmatlabwith8tables AT hrebicekjiri solvingproblemsinscientificcomputingusingmapleandmatlabwith8tables |