Partial differential equations : theory, analysis and applications /
Christopher L. Jang, editor.
Bok Engelsk 2011 Yeong-Bin Yang,· Electronic books.
| Utgitt | New York : : Nova Science Publishers, , c2011.
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| Omfang | 1 online resource (357 p.)
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| Opplysninger | Description based upon print version of record.. - ""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 "". - ""2.1. Dynamic Systems with One Characteristic Line "". - ""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"". - ""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 "". - ""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 "". - ""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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| ISBN | 0131092243
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