- Page 1 and 2: Numerical Methods for the Wigner-Po
- Page 3 and 4: NUMERICAL METHODS FOR THE WIGNER-PO
- Page 5 and 6: Acknowledgments First and foremost,
- Page 7 and 8: Table of Contents List of Tables ix
- Page 9 and 10: 4.3 ApplicationofSchauder’sFixedP
- Page 11 and 12: List of Tables 1.1 PhysicalConstant
- Page 13 and 14: 3.11 I-V Curve with 30 Percent Redu
- Page 15 and 16: CHAPTER 1. OVERVIEW 2 being heavily
- Page 17 and 18: CHAPTER 1. OVERVIEW 4 Doping Spacer
- Page 19 and 20: CHAPTER 1. OVERVIEW 6 and identfyin
- Page 21 and 22: CHAPTER 1. OVERVIEW 8 for predictin
- Page 23 and 24: CHAPTER 1. OVERVIEW 10 by Schrödin
- Page 25 and 26: CHAPTER 1. OVERVIEW 12 ranging term
- Page 27 and 28: CHAPTER 1. OVERVIEW 14 But because
- Page 29 and 30: CHAPTER 1. OVERVIEW 16 = h 2π ,we
- Page 31 and 32: CHAPTER 1. OVERVIEW 18 Table 1.1: P
- Page 33 and 34: CHAPTER 1. OVERVIEW 20 where q is t
- Page 35 and 36: CHAPTER 1. OVERVIEW 22 get K(f)
- Page 37 and 38: CHAPTER 1. OVERVIEW 24 rule. The pr
- Page 39 and 40: CHAPTER 1. OVERVIEW 26 The weights
- Page 41 and 42: Chapter 2 Temporal Integration 2.1
- Page 43 and 44: CHAPTER 2. TEMPORAL INTEGRATION 30
- Page 45: CHAPTER 2. TEMPORAL INTEGRATION 32
- Page 49 and 50: CHAPTER 2. TEMPORAL INTEGRATION 36
- Page 51 and 52: CHAPTER 2. TEMPORAL INTEGRATION 38
- Page 53 and 54: CHAPTER 2. TEMPORAL INTEGRATION 40
- Page 55 and 56: CHAPTER 2. TEMPORAL INTEGRATION 42
- Page 57 and 58: Chapter 3 Bifurcation Analysis 3.1
- Page 59 and 60: CHAPTER 3. BIFURCATION ANALYSIS 46
- Page 61 and 62: CHAPTER 3. BIFURCATION ANALYSIS 48
- Page 63 and 64: CHAPTER 3. BIFURCATION ANALYSIS 50
- Page 65 and 66: CHAPTER 3. BIFURCATION ANALYSIS 52
- Page 67 and 68: CHAPTER 3. BIFURCATION ANALYSIS 54
- Page 69 and 70: CHAPTER 3. BIFURCATION ANALYSIS 56
- Page 71 and 72: CHAPTER 3. BIFURCATION ANALYSIS 58
- Page 73 and 74: CHAPTER 3. BIFURCATION ANALYSIS 60
- Page 75 and 76: CHAPTER 3. BIFURCATION ANALYSIS 62
- Page 77 and 78: CHAPTER 3. BIFURCATION ANALYSIS 64
- Page 79 and 80: CHAPTER 3. BIFURCATION ANALYSIS 66
- Page 81 and 82: CHAPTER 3. BIFURCATION ANALYSIS 68
- Page 83 and 84: CHAPTER 3. BIFURCATION ANALYSIS 70
- Page 85 and 86: CHAPTER 3. BIFURCATION ANALYSIS 72
- Page 87 and 88: Chapter 4 Theory 4.1 Steady-State T
- Page 89 and 90: CHAPTER 4. THEORY 76 If we write ou
- Page 91 and 92: CHAPTER 4. THEORY 78 So if we write
- Page 93 and 94: CHAPTER 4. THEORY 80 Combining Equa
- Page 95 and 96: CHAPTER 4. THEORY 82 We now estimat
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CHAPTER 4. THEORY 84 pendent of x,
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CHAPTER 4. THEORY 86 interval we ha
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CHAPTER 4. THEORY 88 So an estimate
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CHAPTER 4. THEORY 90 We want to cho
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CHAPTER 4. THEORY 92 The exact same
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CHAPTER 4. THEORY 94 Since un → u
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CHAPTER 4. THEORY 96 thereexistsaco
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CHAPTER 4. THEORY 98 For 0
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CHAPTER 4. THEORY 100 denote this d
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CHAPTER 4. THEORY 102 Now, we can t
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CHAPTER 4. THEORY 104 operator. 4.2
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CHAPTER 4. THEORY 106 we have at th
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CHAPTER 4. THEORY 108 we have at th
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CHAPTER 4. THEORY 110 4.3 Applicati
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CHAPTER 4. THEORY 112 We need to fi
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Chapter 5 Conclusion In this work,
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CHAPTER 5. CONCLUSION 116 • Findi
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REFERENCES 118 ODE solver. Technica
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REFERENCES 120 [21] C. T. Kelley an
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REFERENCES 122 [37] Homer F. Walker
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APPENDIX A. NOTATION 124 ˜B Genera
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APPENDIX A. NOTATION 126 k Wave num
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APPENDIX A. NOTATION 128 ∆t Incre
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APPENDIX A. NOTATION 130 ɛc ɛk ɛ
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APPENDIX B. TRILINOS 132 user-given
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APPENDIX B. TRILINOS 134 Trilinos,
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APPENDIX B. TRILINOS 136 Minimum Re
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APPENDIX B. TRILINOS 138 A very use
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Appendix C Guide to RTD Simulation
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APPENDIX C. GUIDE TO RTD SIMULATION
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APPENDIX C. GUIDE TO RTD SIMULATION
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APPENDIX C. GUIDE TO RTD SIMULATION
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APPENDIX C. GUIDE TO RTD SIMULATION
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Appendix D GMRES and Arnoldi Iterat
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APPENDIX D. GMRES AND ARNOLDI ITERA
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APPENDIX D. GMRES AND ARNOLDI ITERA