Solving problems in scientific computing using Maple and MATLAB: with ... 12 tables
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2004
|
| Ausgabe: | 4., expanded and rev. ed. |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012827073&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XXII, 476 S. graph. Darst. |
| ISBN: | 3540617930 3540587462 |
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| adam_text |
WALTER GANDER * JIN HF EBFCEK SOLVING PROBLEMS IN SCIENTIFIC COMPUTING
USING MAPLE AND MATLAB 6 FOURTH, EXPANDED AND REVISED EDITION 2004 WITH
161 FIGURES AND 12 TABLES SPRINGER 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 HI 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 XVI
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 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 CONTENTS XVII 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 XVIII CONTENTS 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 P P = P T = P 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
CONTENTS XIX 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 GROBNER 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 XX CONTENTS 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 = CONST 364 25.4 THE CONTOUR LINES R
= 1 OF / = E N 366 25.5 THE CONTOUR LINES
CONST OF / = 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 CONTENTS XXI 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 TIME 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
28.10CONCLUSIONS 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
FUNCTIONS433 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 XXII CONTENTS 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 PRO- GRAMMING PACKAGE 457 REFERENCES 459 APPENDIX A.
SHARED KNOWLEDGE OF MAPLE AND MATLAB 461 A.I 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 |
| 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 | BV019363395 |
| classification_rvk | ST 601 |
| classification_tum | DAT 306f |
| ctrlnum | (OCoLC)249608427 (DE-599)BVBBV019363395 |
| dewey-full | 530.0285536 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.0285536 |
| dewey-search | 530.0285536 |
| dewey-sort | 3530.0285536 |
| dewey-tens | 530 - Physics |
| discipline | Physik Informatik |
| edition | 4., 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.BV019363395 |
| illustrated | Illustrated |
| indexdate | 2025-01-16T05:21:58Z |
| institution | BVB |
| isbn | 3540617930 3540587462 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012827073 |
| oclc_num | 249608427 |
| open_access_boolean | |
| owner | DE-29T DE-20 DE-91G DE-BY-TUM DE-739 DE-824 DE-861 DE-355 DE-BY-UBR DE-634 DE-11 |
| owner_facet | DE-29T DE-20 DE-91G DE-BY-TUM DE-739 DE-824 DE-861 DE-355 DE-BY-UBR DE-634 DE-11 |
| physical | XXII, 476 S. graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer |
| record_format | marc |
| spellingShingle | Gander, Walter 1944- Hřebíček, Jiří 1947-2017 Solving problems in scientific computing using Maple and MATLAB with ... 12 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 ... 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 | 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=012827073&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT ganderwalter solvingproblemsinscientificcomputingusingmapleandmatlabwith12tables AT hrebicekjiri solvingproblemsinscientificcomputingusingmapleandmatlabwith12tables |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 DAT 306f 2001 A 11881(4) Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |