Verfügbarkeit: Solving problems in scientific computing using Maple and MATLAB

Solving problems in scientific computing using Maple and MATLAB: with 8 tables

Gespeichert in:

Bibliographische Detailangaben
Beteiligte Personen:	Gander, Walter 1944- (VerfasserIn), Hřebíček, Jiří 1947-2017 (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Berlin u.a. Springer 1995
Ausgabe:	2., expanded ed.
Schlagwörter:	Wissenschaftliches Rechnen - MATLAB Wissenschaftliches Rechnen - Maple <Programm> Wissenschaftliches Rechnen Maple V Maple 7 Maple > Programm Maple V 4.0 MATLAB MATLAB 6.5 MATLAB 6.0 Beispielsammlung
Links:	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
Umfang:	XV, 315 S. graph. Darst.
ISBN:	3540587462

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Datensatz im Suchindex

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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
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publisher	Springer
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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> Wissenschaftliches Rechnen (DE-588)4338507-2 gnd Maple V (DE-588)4276266-2 gnd Maple 7 (DE-588)4668070-6 gnd Maple Programm (DE-588)4209397-1 gnd Maple V 4.0 (DE-588)4407788-9 gnd MATLAB (DE-588)4329066-8 gnd MATLAB 6.5 (DE-588)4709551-9 gnd MATLAB 6.0 (DE-588)4609587-1 gnd
subject_GND	(DE-588)4338507-2 (DE-588)4276266-2 (DE-588)4668070-6 (DE-588)4209397-1 (DE-588)4407788-9 (DE-588)4329066-8 (DE-588)4709551-9 (DE-588)4609587-1 (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> Wissenschaftliches Rechnen (DE-588)4338507-2 gnd Maple V (DE-588)4276266-2 gnd Maple 7 (DE-588)4668070-6 gnd Maple Programm (DE-588)4209397-1 gnd Maple V 4.0 (DE-588)4407788-9 gnd MATLAB (DE-588)4329066-8 gnd MATLAB 6.5 (DE-588)4709551-9 gnd MATLAB 6.0 (DE-588)4609587-1 gnd
topic_facet	Wissenschaftliches Rechnen - MATLAB Wissenschaftliches Rechnen - Maple <Programm> Wissenschaftliches Rechnen Maple V Maple 7 Maple Programm Maple V 4.0 MATLAB MATLAB 6.5 MATLAB 6.0 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

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