PPKE ITK PhD and MPhil Thesis Classes

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80 3. INVESTIGATING THE PRECISION OF PDE SOLVER ARCHITECTURES ON FPGAS 1E-02 1E-03 Error 1E-04 1E-05 1E+02 1E+03 Resolution 1E+04 1E+05 29bit 30bit 31bit 32bit 33bit 34bit 35bit 36bit 37bit 38bit 39bit 40bit Figure 3.6: Error of the 1st order scheme in different precisions <strong>and</strong> step sizes using floating point numbers
3.5 Results 81 1E-02 1E-03 Error 1E-04 1E-05 1E+02 1E+03 Resolution 1E+04 1E+05 29bit 30bit 31bit 32bit 33bit 34bit 35bit 36bit 37bit 38bit 39bit 40bit 41bit Figure 3.7: Error of the 2nd order scheme in different precisions <strong>and</strong> step sizes using floating point numbers
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An Optimal Mapping of Numerical Sim
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Acknowledgements It is not so hard
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Contents 1 Introduction 1 1.1 Cellu
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CONTENTS iii 4.3.3 Operating Steps
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vi LIST OF FIGURES 2.4 Performance
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List of Tables 2.1 Comparison of di
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xii LIST OF ABBREVIATIONS FPE Falco
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Chapter 1 Introduction Due to the r
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3 can be represented in arbitrary t
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1.1 Cellular Neural/Nonlinear Netwo
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1.2 Cellular Neural/Nonlinear Netwo
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1.3 CNN-UM Implementations 9 the Lo
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1.3 CNN-UM Implementations 11 modif
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1.4 Field Programmable Gate Arrays
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Page 47 and 48:
1.5 IBM Cell Broadband Engine Archi
Page 49 and 50: 1.5 IBM Cell Broadband Engine Archi
Page 55 and 56: Chapter 2 Mapping the Numerical Sim
Page 57 and 58: 2.1 Introduction 37 18 Load instruc
Page 59 and 60: 2.1 Introduction 39 Instruction his
Page 61 and 62: 2.1 Introduction 41 2E+07 1E+07 9E+
Page 63 and 64: 2.1 Introduction 43 Main memory 8 t
Page 65 and 66: 2.1 Introduction 45 6 4.5 3 Speedup
Page 67 and 68: 2.1 Introduction 47 2.50E+07 1.88E+
Page 69 and 70: 2.2 Ocean model and its implementat
Page 71 and 72: 2.2 Ocean model and its implementat
Page 73 and 74: 2.3 Computational Fluid Flow Simula
Page 89 and 90: Chapter 3 Investigating the Precisi
Page 91 and 92: 3.2 Numerical Solutions of the PDEs
Page 93 and 94: 3.3 Testing Methodology 73 In fixed
Page 95 and 96: 3.4 Properties of the Arithmetic Un
Page 97 and 98: 3.4 Properties of the Arithmetic Un
Page 99: 3.5 Results 79 in the L2 cache of t
Page 103 and 104: 3.5 Results 83 arithmetic unit requ
Page 105: 3.6 Conclusion 85 point and the 40
Page 108 and 109: 4. IMPLEMENTING A GLOBAL ANALOGIC P
Page 130 and 131: 110 5. SUMMARY OF NEW SCIENTIFIC RE
Page 141 and 142: References The author’s journal p
Page 143 and 144: 5.2 Application of the results 123
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PPKE ITK PhD and MPhil Thesis Classes

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