The universal equation solver: a simple, new method for microcomputers
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Wilmslow, Cheshire
Sigma Technical Press
1983
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 196 S. graph. Darst. |
| ISBN: | 0905104404 |
Internformat
MARC
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| 245 | 1 | 0 | |a The universal equation solver |b a simple, new method for microcomputers |c Noel Kantaris ; Patrick F. Howden* |
| 264 | 1 | |a Wilmslow, Cheshire |b Sigma Technical Press |c 1983 | |
| 300 | |a IX, 196 S. |b graph. Darst. | ||
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| 650 | 4 | |a Equations |x Numerical solutions |x Data processing | |
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Datensatz im Suchindex
| _version_ | 1804117818703085568 |
|---|---|
| adam_text | UST OF
CONTENTS
CHAPTER 1 ROOT SOLVING TECHNIQUES
1.1 CONVENTIONAL METHODS 1
1.2 EXAMPLES TO ILLUSTRATE CONVENTIONAL METHODS .. 6
1.3 GENERAL FORMULATION OFTHE NEW ALGORITHM .... 8
1.4 PROCEDURE FOR FINDING ROOTS 10
1.5 STABILITY OF ALGORITHM 12
CHAPTER 2 FINDING THE ROOTS OF AN EQUATION
2.1 USING A CALCULATOR TO FIND A ROOT 18
2.2 SIMPLIFIED TABULATION PROCEDURE 20
2.3 COMPUTER METHOD FOR FINDING ROOTS 21
2.4 EXAMPLE OF EVALUATING ROOTS AND SINGULARITIES .. 28
2.5 SPECIAL CASES? 33
CHAPTER 3 SOLVING SIMULTANEOUS EQUATIONS
3.1 USING A CALCULATOR TO SOLVE SIMULTANEOUS
EQUATIONS ,„
3.2 COMPUTER METHOD FOR SOLVING SIMULTANEOUS 36
EQUATIONS ,, .
3.3 SIGN COMBINATION AND EQUATION SEQUENCE 37
SUBROUTINES ..
3.4 SOLVING COMPLEX AND UNRELATED EQUATIONS .... 41
48
vii
CHAPTER 4 SOLVING PRACTICAL PROBLEMS
4 1 VARIATION OFVAPOUR PRESSURE WITH TEMPERATURE ... 52
4 2 TUNING SHARPNESS OF A RESONANT CIRUIT 54
4.3 DIPOLE FIELD STRENGTH 59
4 4 DISCOUNTED CASH FLOW 64
4 5 DIRECT CURRENT NETWORK 68
4.6 SIMULTANEOUS COMPLEX EQUATIONS 71
CHAPTER 5 TURNING POINTS
5.1 FINDING THE TURNING POINTS OF FUNCTIONS 75
5.2 MULTI DIMENSIONAL TURNING POINTS 82
5.3 TURNING POINTS OF SURFACES 84
5.4 TURNING POINTS WITH CONSTRAINTS 89
CHAPTER 6 DATA FITTING
6.1 INTERPOLATING POLYNOMIALS 95
6.2 CUBIC SPLINES 99
6.3 PROCEDURE FOR FITTING CUBIC SPLINES 104
6.4 CHECKING SPLINE AND DATA COINCIDENCE 109
6.5 FITTING NON POLYNOMIAL FUNCTIONS TO DATA .... 111
CHAPTER 7 INITIAL VALUE DIFFERENTIAL EQUATIONS
7.1 NUMERICAL STEPWISE INITIAL VALUE METHODS .... 113
7.2 ADOPTION OF TAYLOR S SERIES METHOD 113
7.3 SOLVING SINGLE DIFFERENTIAL EQUATIONS USING
SIM. ROOTS 114
7.4 SOLVING SIMULTANEOUS DIFFERENTIAL EQUATIONS ... 119
7.5 TESTING AND IMPROVING ACCURACY 122
CHAPTER 8 DIFF.ROOTS PROGRAM FOR INITIAL VALUE EQUATIONS
8.1 DIFF.ROOTS FORMAT FOR SIMULTANEOUS
DIFFERENTIAL EQUATIONS 127
8.2 OTHER DIFF.ROOTS OPTIONS 133
8.3 REDUCING THE BURDEN OF DIFFERENTIATION 134
8.4 OSCILLATING COUPLED BODIES 136
viii
CHAPTER 9 BOUNDARY, EIGENVALUE AND PARTIAL DIFFERENTIAL
EQUATIONS
9.1 THE FINITE DIFFERENCE EQUATIONS METHOD 140
9.2 THE SHOOTING METHOD 146
9.3 EIGENVALUE PROBLEMS 147
9.4 PARTIAL DIFFERENTIAL EQUATIONS 149
CHAPTER 10 CONSTRAINTS IN EQUATIONS
10.1 NUMERICAL CONSTRAINTS 153
10.2 AN ALGEBRAIC COUNTER ALGORITHM 156
10.3 ALGEBRAIC CODE CONVERSION 160
10.4 CONSTRAINTS IN CURVE FITTING 1 65
APPENDIX A BASIC MATHEMATICAL FUNCTIONS.. 169
APPENDIX B MICROPROGRAMS 173
B.1 MICRO.ROOTS PROGRAM 173
B.2 MICRO.SIMROOTS PROGRAM ... 174
APPENDIX C SIM. ROOTS FOR THE BBC COMPUTER.. 176
APPENDIX D LIST OF VARIABLES USED IN
PROGRAMS 179
APPENDIX E UTILITY PROGRAMS 183
E.1 TURNING EQUATIONS INTO
TEXT FILES 183
E.2 FUNCTION PLOTTER 184
E.3 SIMPSON S RULE 187
EVALUATING DETERMINANTS 188
APPENDIX F ADDITIONS TO SIM. ROOTS TO
IMPLEMENT DIFF.ROOTS 191
BIBLIOGRAPHY 196
ix
|
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| dewey-full | 510/.28/5404 511.3/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| dewey-search | 510/.28/5404 511.3/3 |
| dewey-sort | 3510 228 45404 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV003472455 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:00:27Z |
| institution | BVB |
| isbn | 0905104404 |
| language | English |
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| physical | IX, 196 S. graph. Darst. |
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| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Sigma Technical Press |
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| spelling | Kantaris, Noel Verfasser aut The universal equation solver a simple, new method for microcomputers Noel Kantaris ; Patrick F. Howden* Wilmslow, Cheshire Sigma Technical Press 1983 IX, 196 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Datenverarbeitung Equations Numerical solutions Data processing Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Mikrocomputer (DE-588)4039206-5 gnd rswk-swf Gleichung (DE-588)4021246-4 gnd rswk-swf Gleichung (DE-588)4021246-4 s Numerisches Verfahren (DE-588)4128130-5 s Mikrocomputer (DE-588)4039206-5 s DE-604 Howden, Patrick F. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002199449&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kantaris, Noel Howden, Patrick F. The universal equation solver a simple, new method for microcomputers Datenverarbeitung Equations Numerical solutions Data processing Numerisches Verfahren (DE-588)4128130-5 gnd Mikrocomputer (DE-588)4039206-5 gnd Gleichung (DE-588)4021246-4 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4039206-5 (DE-588)4021246-4 |
| title | The universal equation solver a simple, new method for microcomputers |
| title_auth | The universal equation solver a simple, new method for microcomputers |
| title_exact_search | The universal equation solver a simple, new method for microcomputers |
| title_full | The universal equation solver a simple, new method for microcomputers Noel Kantaris ; Patrick F. Howden* |
| title_fullStr | The universal equation solver a simple, new method for microcomputers Noel Kantaris ; Patrick F. Howden* |
| title_full_unstemmed | The universal equation solver a simple, new method for microcomputers Noel Kantaris ; Patrick F. Howden* |
| title_short | The universal equation solver |
| title_sort | the universal equation solver a simple new method for microcomputers |
| title_sub | a simple, new method for microcomputers |
| topic | Datenverarbeitung Equations Numerical solutions Data processing Numerisches Verfahren (DE-588)4128130-5 gnd Mikrocomputer (DE-588)4039206-5 gnd Gleichung (DE-588)4021246-4 gnd |
| topic_facet | Datenverarbeitung Equations Numerical solutions Data processing Numerisches Verfahren Mikrocomputer Gleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002199449&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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