Partial differential equations: theory, analysis and applications
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
New York
Nova Science Publishers
©2011
|
| Schriftenreihe: | Mathematics research developments series
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 |
| Beschreibung: | Includes bibliographical references and index ""PARTIAL DIFFERENTIAL EQUATIONS: THEORY, ANALYSIS AND APPLICATIONS ""; ""PARTIAL DIFFERENTIAL EQUATIONS: THEORY, ANALYSIS AND APPLICATIONS ""; ""CONTENTS ""; ""PREFACE""; ""TIME-SPECTRAL SOLUTION OF INITIAL-VALUE PROBLEMS""; ""ABSTRACT""; ""1. INTRODUCTION ""; ""2. THE METHOD ""; ""2.1. Multivariate Chebyshev Spectral Expansion ""; ""2.2. Weighted Residual Formulation ""; ""2.3. Integration and Differentiation ""; ""2.4. Minimax Considerations ""; ""2.5. Comparison with Least Square WRM Formulation ""; ""3. BOUNDARY AND INITIAL CONDITIONS "" ""3.1. Implementation of Boundary and Initial Conditions Chebyshev Approximation """"3.2. Example 1D Diffusion Equation ""; ""4. NONLINEARITY ""; ""5. ROOT SOLVER ""; ""6. SUBDOMAINS""; ""7. APPLICATION -- ACCURACY AND EFFICIENCY""; ""7.1. Introductory Example; the Match Equation ""; ""7.2. Accuracy; Burger's Equation""; ""7.2.1. Exact Solution ""; ""7.2.2. GWRM Solution ""; ""7.2.3. Finite Difference Solutions""; ""7.2.4. Internal Gradients""; ""7.3. Efficiency; the Forced Wave Equation ""; ""7.3.1. GWRM Solution""; ""7.3.2. Finite Difference Solutions"" ""7.3.3. Conclusions on Forced Wave Equation""""7.4. Large System of Initial -- Magnetohydrodynamic Stability ""; ""7.4.1. Benchmarking Using Simplified Model ""; ""7.4.2. GWRM Solution of MHD Stability Problem and Comparison with Eigenvalue Approach ""; ""7.5. Other Systems of Time- ""; ""7.6. Summary -- Applications ""; ""8. CONCLUSION ""; ""ACKNOWLEDGMENT ""; ""REFERENCES ""; ""A STOCHASTIC AGENT-BASED APPROACH TO THE FOKKER-PLANCK EQUATION IN HUMAN POPULATION DYNAMICS ""; ""1. INTRODUCTION ""; ""2. THE AGENT-BASED MODEL ""; ""3. THE MAIN RESULT ""; ""4. THE MASTER EQUATION "" ""5. THE TRANSFORM OF THE MASTER EQUATION AND PROOF OF LEMMA 4.6 """"ACKNOWLEDGMENT ""; ""REFERENCES ""; ""TRAP-LIMITED DIFFUSION OF HYDROGEN IN AMORPHOUS SILICON THIN FILMS""; ""I. INTRODUCTION""; ""II. CONCEPTS ON DIFFUSION ""; ""II.1. Diffusion through a Fixed Surface ""; ""II.2. Some Special Cases ""; ""II.3. Diffusion through a Moving Surface ""; ""II.4. Trap-Limited Diffusion ""; ""III. EXPERIMENTAL CONDITIONS FOR FILM DEPOSITION AND HYDROGEN PLASMA TREATMENT ""; ""IV. TRAP-LIMITED HYDROGEN DIFFUSING IN AMOURPHOUS SILICON "" ""IV.1. Kinetics of Hydrogen Etching of Hydrogenated Amorphous Silicon """"IV.2. Hydrogen Evolution during Microcrystalline Silicon Deposition ""; ""a) Before The Growth of the c-Si:H Layer ( T T1)""; ""b) During the Growth of the c-Si:H Layer ( T > T1) ""; ""c) Hydrogen Out-Diffusion ""; ""REFERENCES ""; ""THE ROLE OF THE METHOD OF CHARACTERISTICS IN THE SOLUTION OF ESTIMATION AND CONTROL PROBLEMS FOR HYPERBOLIC PDE SYSTEMS ""; ""ABSTRACT ""; ""NOMENCLATURE ""; ""ABBREVIATIONS ""; ""1. INTRODUCTION""; ""2. METHOD OF CHARACTERISTICS: BASIC CONCEPTS "" |
| Beschreibung: | x, 345 pages |
| ISBN: | 1613247435 9781613247433 9781611228588 1611228581 |
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| 500 | |a ""5. THE TRANSFORM OF THE MASTER EQUATION AND PROOF OF LEMMA 4.6 """"ACKNOWLEDGMENT ""; ""REFERENCES ""; ""TRAP-LIMITED DIFFUSION OF HYDROGEN IN AMORPHOUS SILICON THIN FILMS""; ""I. INTRODUCTION""; ""II. CONCEPTS ON DIFFUSION ""; ""II.1. Diffusion through a Fixed Surface ""; ""II.2. Some Special Cases ""; ""II.3. Diffusion through a Moving Surface ""; ""II.4. Trap-Limited Diffusion ""; ""III. EXPERIMENTAL CONDITIONS FOR FILM DEPOSITION AND HYDROGEN PLASMA TREATMENT ""; ""IV. TRAP-LIMITED HYDROGEN DIFFUSING IN AMOURPHOUS SILICON "" | ||
| 500 | |a ""IV.1. Kinetics of Hydrogen Etching of Hydrogenated Amorphous Silicon """"IV.2. Hydrogen Evolution during Microcrystalline Silicon Deposition ""; ""a) Before The Growth of the c-Si:H Layer ( T T1)""; ""b) During the Growth of the c-Si:H Layer ( T > T1) ""; ""c) Hydrogen Out-Diffusion ""; ""REFERENCES ""; ""THE ROLE OF THE METHOD OF CHARACTERISTICS IN THE SOLUTION OF ESTIMATION AND CONTROL PROBLEMS FOR HYPERBOLIC PDE SYSTEMS ""; ""ABSTRACT ""; ""NOMENCLATURE ""; ""ABBREVIATIONS ""; ""1. INTRODUCTION""; ""2. METHOD OF CHARACTERISTICS: BASIC CONCEPTS "" | ||
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| 650 | 7 | |a Differential equations, Partial |2 fast | |
| 650 | 7 | |a Mathematical physics |2 fast | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Differential equations, Partial | |
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| id | DE-604.BV043775243 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:34:46Z |
| institution | BVB |
| isbn | 1613247435 9781613247433 9781611228588 1611228581 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029186303 |
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| owner_facet | DE-1046 DE-1047 |
| physical | x, 345 pages |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
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| publisher | Nova Science Publishers |
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| series2 | Mathematics research developments series |
| spelling | Partial differential equations theory, analysis and applications Christopher L. Jang, editor New York Nova Science Publishers ©2011 x, 345 pages txt rdacontent c rdamedia cr rdacarrier Mathematics research developments series Includes bibliographical references and index ""PARTIAL DIFFERENTIAL EQUATIONS: THEORY, ANALYSIS AND APPLICATIONS ""; ""PARTIAL DIFFERENTIAL EQUATIONS: THEORY, ANALYSIS AND APPLICATIONS ""; ""CONTENTS ""; ""PREFACE""; ""TIME-SPECTRAL SOLUTION OF INITIAL-VALUE PROBLEMS""; ""ABSTRACT""; ""1. INTRODUCTION ""; ""2. THE METHOD ""; ""2.1. Multivariate Chebyshev Spectral Expansion ""; ""2.2. Weighted Residual Formulation ""; ""2.3. Integration and Differentiation ""; ""2.4. Minimax Considerations ""; ""2.5. Comparison with Least Square WRM Formulation ""; ""3. BOUNDARY AND INITIAL CONDITIONS "" ""3.1. Implementation of Boundary and Initial Conditions Chebyshev Approximation """"3.2. Example 1D Diffusion Equation ""; ""4. NONLINEARITY ""; ""5. ROOT SOLVER ""; ""6. SUBDOMAINS""; ""7. APPLICATION -- ACCURACY AND EFFICIENCY""; ""7.1. Introductory Example; the Match Equation ""; ""7.2. Accuracy; Burger's Equation""; ""7.2.1. Exact Solution ""; ""7.2.2. GWRM Solution ""; ""7.2.3. Finite Difference Solutions""; ""7.2.4. Internal Gradients""; ""7.3. Efficiency; the Forced Wave Equation ""; ""7.3.1. GWRM Solution""; ""7.3.2. Finite Difference Solutions"" ""7.3.3. Conclusions on Forced Wave Equation""""7.4. Large System of Initial -- Magnetohydrodynamic Stability ""; ""7.4.1. Benchmarking Using Simplified Model ""; ""7.4.2. GWRM Solution of MHD Stability Problem and Comparison with Eigenvalue Approach ""; ""7.5. Other Systems of Time- ""; ""7.6. Summary -- Applications ""; ""8. CONCLUSION ""; ""ACKNOWLEDGMENT ""; ""REFERENCES ""; ""A STOCHASTIC AGENT-BASED APPROACH TO THE FOKKER-PLANCK EQUATION IN HUMAN POPULATION DYNAMICS ""; ""1. INTRODUCTION ""; ""2. THE AGENT-BASED MODEL ""; ""3. THE MAIN RESULT ""; ""4. THE MASTER EQUATION "" ""5. THE TRANSFORM OF THE MASTER EQUATION AND PROOF OF LEMMA 4.6 """"ACKNOWLEDGMENT ""; ""REFERENCES ""; ""TRAP-LIMITED DIFFUSION OF HYDROGEN IN AMORPHOUS SILICON THIN FILMS""; ""I. INTRODUCTION""; ""II. CONCEPTS ON DIFFUSION ""; ""II.1. Diffusion through a Fixed Surface ""; ""II.2. Some Special Cases ""; ""II.3. Diffusion through a Moving Surface ""; ""II.4. Trap-Limited Diffusion ""; ""III. EXPERIMENTAL CONDITIONS FOR FILM DEPOSITION AND HYDROGEN PLASMA TREATMENT ""; ""IV. TRAP-LIMITED HYDROGEN DIFFUSING IN AMOURPHOUS SILICON "" ""IV.1. Kinetics of Hydrogen Etching of Hydrogenated Amorphous Silicon """"IV.2. Hydrogen Evolution during Microcrystalline Silicon Deposition ""; ""a) Before The Growth of the c-Si:H Layer ( T T1)""; ""b) During the Growth of the c-Si:H Layer ( T > T1) ""; ""c) Hydrogen Out-Diffusion ""; ""REFERENCES ""; ""THE ROLE OF THE METHOD OF CHARACTERISTICS IN THE SOLUTION OF ESTIMATION AND CONTROL PROBLEMS FOR HYPERBOLIC PDE SYSTEMS ""; ""ABSTRACT ""; ""NOMENCLATURE ""; ""ABBREVIATIONS ""; ""1. INTRODUCTION""; ""2. METHOD OF CHARACTERISTICS: BASIC CONCEPTS "" MATHEMATICS / Differential Equations / Partial bisacsh Differential equations, Partial fast Mathematical physics fast Differential equations, Partial Mathematical physics Mathematische Physik Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s 1\p DE-604 Jang, Christopher L. Sonstige oth 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Partial differential equations theory, analysis and applications MATHEMATICS / Differential Equations / Partial bisacsh Differential equations, Partial fast Mathematical physics fast Differential equations, Partial Mathematical physics Mathematische Physik Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4044779-0 |
| title | Partial differential equations theory, analysis and applications |
| title_auth | Partial differential equations theory, analysis and applications |
| title_exact_search | Partial differential equations theory, analysis and applications |
| title_full | Partial differential equations theory, analysis and applications Christopher L. Jang, editor |
| title_fullStr | Partial differential equations theory, analysis and applications Christopher L. Jang, editor |
| title_full_unstemmed | Partial differential equations theory, analysis and applications Christopher L. Jang, editor |
| title_short | Partial differential equations |
| title_sort | partial differential equations theory analysis and applications |
| title_sub | theory, analysis and applications |
| topic | MATHEMATICS / Differential Equations / Partial bisacsh Differential equations, Partial fast Mathematical physics fast Differential equations, Partial Mathematical physics Mathematische Physik Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | MATHEMATICS / Differential Equations / Partial Differential equations, Partial Mathematical physics Mathematische Physik Partielle Differentialgleichung |
| work_keys_str_mv | AT jangchristopherl partialdifferentialequationstheoryanalysisandapplications |