PPKE ITK PhD and MPhil Thesis Classes

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44 2. MAPPING THE NUMERICAL SIMULATIONS OF PARTIAL DIFFERENTIAL EQUATIONS 2.00E+07 1.50E+07 1.00E+07 5.00E+06 0E+00 SPE 1/0 SPE 4/0 SPE 4/3 SPE 8/2 SPE 8/5 Number of instructions Single cycle Nop cycle Stall due to prefetch miss Stall due to fp resource conflict Stall due to dp pipeline SPU Initialization cycle Dual cycle Stall due to branch miss Stall due to dependency Stall due to waiting for hint target Channel stall cycle Figure 2.7: Instruction histogram in case of SPE pipeline 2.00E+07 1.50E+07 1.00E+07 5.00E+06 0E+00 One SPE SPE 2/1 SPE 4/1 SPE 4/3 SPE 8/1 SPE 8/3 SPE 8/5 SPE 8/7 Number of Instructions computing cycles setup cycles Figure 2.8: Startup overhead in case of SPE pipeline
2.1 Introduction 45 6 4.5 3 Speedup 1.5 0 SPE 1 SPE 2 SPE 4 SPE 8 Figure 2.9: Speedup of the multi-SPE CNN simulation kernel In this case the SPE threads are not terminated after each template operation but blocked until the PPU determines the parameters for the next operation. To continue the computation, the SPE threads can be simply unblocked and the thread creation and initialization overhead occurs only once in the beginning of the program. Speedup of the implemented CNN simulator kernel running on multiple SPEs is summarized in Figure 2.9. In the 2 SPE case nearly 2 times faster computation can be achieved while using more SPEs requires more synchronization between the SPEs. Therefore 3.3 and 5.4 times speedup can be achieved in the 4 and 8 SPE cases, respectively. 2.1.1.2 Nonlinear Dynamics The nonlinear functions belonging to the templates should be stored in Look Up Tables (LUTs), to enable using zero- and first-order nonlinear templates on a conventional scalar processor or on the Cell processor . In case of conventional scalar processors, each kind of nonlinearity should be partitioned into segments, according to the number of intervals it contains. The parameters of the nonlinear function and the boundary points should be stored
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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
Page 15: List of Tables 2.1 Comparison of di
Page 18 and 19: xii LIST OF ABBREVIATIONS FPE Falco
Page 21 and 22: Chapter 1 Introduction Due to the r
Page 23 and 24: 3 can be represented in arbitrary t
Page 25 and 26: 1.1 Cellular Neural/Nonlinear Netwo
Page 27 and 28: 1.2 Cellular Neural/Nonlinear Netwo
Page 29 and 30: 1.3 CNN-UM Implementations 9 the Lo
Page 31 and 32: 1.3 CNN-UM Implementations 11 modif
Page 33 and 34: 1.4 Field Programmable Gate Arrays
Page 47 and 48: 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: 2.1 Introduction 43 Main memory 8 t
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 and 100: 3.5 Results 79 in the L2 cache of t
Page 101 and 102: 3.5 Results 81 1E-02 1E-03 Error 1E
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
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4. IMPLEMENTING A GLOBAL ANALOGIC P
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110 5. SUMMARY OF NEW SCIENTIFIC RE
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References The author’s journal p
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5.2 Application of the results 123
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PPKE ITK PhD and MPhil Thesis Classes

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