Analytic advances in difference equations of diffusion processes:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Göttingen
Sierke
2009
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| Ausgabe: | 1. Aufl. |
| Schriftenreihe: | Reihe Mathematik
2 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | III, 193, XIII S. graph. Darst. 21 cm |
| ISBN: | 9783868440683 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | CONTENTS INTRODUCTION 1 1 DIFFUSION PROCESSES AND DIFFERENTIAL EQUATIONS
5 1.1 OVERVIEW ON DIFFUSION OF ENERGY AND INFORMATION 5 1.2 SCHRODINGER
EQUATIONS AND DIFFUSION PROCESSES 6 1.3 RELATED FUNCTIONS SYSTEMS 10 1.4
BLACK-SCHOLES EQUATION AND OPINION DYNAMICS 12 1.5 BURGER S EQUATION AND
DIFFUSION PROCESSES 13 1.6 DIFFUSION OF STRINGS IN COMPLEX DYNAMICS 15
1.6.1 PROPAGATION OF STRINGS 15 1.6.2 KRICHEVER-NOVIKOV ALGEBRAS 17
1.6.3 TOPOLOGICAL SYMMETRIES IN KRICHEVER-NOVIKOV ALGEBRAS 19 2
DIFFUSION PROCESSES AND SCHRODINGER THEORY 26 2.1 TIME-DEPENDENT
SCHRODINGER THEORY FOR FREE PARTICLES 26 2.2 SOLUTION OF THE CAUCHY
PROBLEM FOR A TIME-DEPENDENT SCHRODINGER EQUATION .... 28 2.2.1
DYNAMICAL SYMMETRY OF THE HARMONIC OSCILLATOR IN N DIMENSIONS 28 2.2.2
EIGENFUNCTION EXPANSION FOR THE TIME-DEPENDENT SCHRODINGER EQUATION ...
31 2.2.3 THE MEIXNER AND POLLACZEK POLYNOMIALS 33 2.2.4 EVALUATION OF
THE INTEGRAL 35 2.2.5 SOLUTION OF THE INITIAL VALUE PROBLEM 36 2.2.6 THE
FINITE ROTATION OPERATORS 38 2.2.7 AN INTEGRAL FORM OF THE SOLUTION 40
2.2.8 THE FORCED MODIFIED OSCILLATOR 42 2.2.9 EXPANSION FORMULA FOR A
PLANE WAVE 44 2.2.10 SCHRODINGER EQUATION ON THE GROUP 5(7(1.1) 48
2.2.11 PROPAGATOR FOR THE RELATIVISTIC OSCILLATOR 49 2.2.12 A MODIFIED
RELATIVISTIC OSCILLATOR 50 2.2.1 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/992791685 DIGITALISIERT DURCH CONTENTS II 4 DISCRETE
DIFFUSION OF ENERGY 67 4.1 SIMILARITY SOLUTIONS 67 4.2 DISCRETE
SOLUTIONS OF BASIC DIFFUSION EQUATIONS 69 4.2.1 PREPARATION 70 4.2.2 THE
DISCRETE DIFFUSION EQUATION 72 4.3 METHODOLOGICAL REVIEW 76 5
INTRODUCTION TO OPINION DYNAMICS - THE DIFFUSION OF INFORMATION 77 5.1
OPINION DYNAMICS AND RELATED RESEARCH CONTRIBUTIONS 77 5.2 ABELSON S
ATTITUDE MODEL 81 6 THE LINEAR DISCRETE ATTITUDE MODEL 83 6.1
DISCRETIZING ABELSON S LINEAR ATTITUDE MODEL 83 6.2 THE LDA MODEL 84 6.3
CONDITIONS FOR CONSENSUS ACCORDING TO R. P. ABELSON 85 6.4 EQUILIBRIUM
IN TERMS OF MARKOV CHAIN THEORY 88 6.4.1 PREPARATION 88 6.4.2 RELATED
RESULTS FROM MARKOV CHAIN THEORY 89 6.4.3 ASYMPTOTIC BEHAVIOUR AND
STABLE CONSENSUS 92 6.5 FIXED POINT CRITERIA 95 6.5.1 HILBERT S
PROJECTIVE METRIC P 95 6.5.2 ROW ALLOWABLE MATRICES, THE BIRKHOFF
CONTRACTION COEFFICIENT AND NON-EXPANSIVE BEHAVIOUR 97 6.6 MARKOV
MATRICES AND OPINION LEADERSHIP 101 6.7 THE KRAUSE-HEGSELMANN MODEL AS A
TIME-DISCRETE VERSION OF ABELSON S LINEAR AT- TITUDE MODEL 102 6.8
DYADIC INTERACTION 103 6.9 CONCLUSION 106 7 THE NONLINEAR DISCRETE
ATTITUDE MODEL 108 7.1 SOCIO-THEORETICAL BACKGROUND 108 7.2 DISCRETIZING
ABELSON S NONLINEAR ATTITUDE MODEL 109 7.3 THE NDA MODEL 110 7. CONTENTS
7.7 DYADIC INTERACTION 129 7.8 CONCLUSION 133 8 ANOTHER APPROACH TO
NONLINEARITY 134 8.1 DIRECT DISCRETIZING OF ABELSON S NONLINEAR VERSION
134 8.2 EVALUATION, IMPROVEMENTS, AND THE ENDA2 MODEL 136 9 EMPIRICAL
EVALUATION 142 9.1 CHANCES AND RESTRICTIONS OF AN EMPIRICAL EVALUATION
143 9.2 COMPUTER SIMULATION 144 9.2.1 CONSENSUS IN TERMS OF A
HOMOGENEOUSLY FILLED MATRIX K 145 9.2.2 WEIGHTING BY A RANDOMLY GIVEN
MATRIX K 151 9.2.3 ZERO-ENTRIES AND SPARSELY FILLED MATRICES K 155 9.2.4
ILLUSTRATION OF THE DYADIC INTERACTION 158 9.2.5 HIGHER-SIZED AGENT
GROUPS 162 9.2.6 ANALYZING THE ENDA2 MODEL 166 9.3 FOCUS GROUPS 171
9.3.1 TEST SETUP, PREPARATION, AND PERFORMANCE 172 9.3.2 REGISTRATION
AND EVALUATION OF INFORMATION 175 9.4 SUMMARY OF THE RESULTS OBTAINED BY
EMPIRICISM 188 CLOSING WORDS 191
|
| any_adam_object | 1 |
| author | Meiler, Maria 1979- |
| author_GND | (DE-588)137517378 |
| author_facet | Meiler, Maria 1979- |
| author_role | aut |
| author_sort | Meiler, Maria 1979- |
| author_variant | m m mm |
| building | Verbundindex |
| bvnumber | BV035555220 |
| classification_tum | PHY 649d MAT 390d SOZ 720d |
| ctrlnum | (OCoLC)645238042 (DE-599)DNB992791685 |
| dewey-full | 519.233 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.233 |
| dewey-search | 519.233 |
| dewey-sort | 3519.233 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Soziologie Mathematik |
| edition | 1. Aufl. |
| format | Thesis Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T21:40:19Z |
| institution | BVB |
| isbn | 9783868440683 |
| language | English |
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| physical | III, 193, XIII S. graph. Darst. 21 cm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Sierke |
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| series | Reihe Mathematik |
| series2 | Reihe Mathematik |
| spelling | Meiler, Maria 1979- Verfasser (DE-588)137517378 aut Analytic advances in difference equations of diffusion processes Maria Meiler 1. Aufl. Göttingen Sierke 2009 III, 193, XIII S. graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Reihe Mathematik 2 Zugl.: München, Techn. Univ.Diss., 2008 Diffusionsprozess (DE-588)4274463-5 gnd rswk-swf Differenzengleichung (DE-588)4012264-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Diffusionsprozess (DE-588)4274463-5 s Differenzengleichung (DE-588)4012264-5 s DE-604 Reihe Mathematik 2 (DE-604)BV035421429 2 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017611057&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 11 |
| spellingShingle | Meiler, Maria 1979- Analytic advances in difference equations of diffusion processes Reihe Mathematik Diffusionsprozess (DE-588)4274463-5 gnd Differenzengleichung (DE-588)4012264-5 gnd |
| subject_GND | (DE-588)4274463-5 (DE-588)4012264-5 (DE-588)4113937-9 |
| title | Analytic advances in difference equations of diffusion processes |
| title_auth | Analytic advances in difference equations of diffusion processes |
| title_exact_search | Analytic advances in difference equations of diffusion processes |
| title_full | Analytic advances in difference equations of diffusion processes Maria Meiler |
| title_fullStr | Analytic advances in difference equations of diffusion processes Maria Meiler |
| title_full_unstemmed | Analytic advances in difference equations of diffusion processes Maria Meiler |
| title_short | Analytic advances in difference equations of diffusion processes |
| title_sort | analytic advances in difference equations of diffusion processes |
| topic | Diffusionsprozess (DE-588)4274463-5 gnd Differenzengleichung (DE-588)4012264-5 gnd |
| topic_facet | Diffusionsprozess Differenzengleichung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017611057&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035421429 |
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