PPKE ITK PhD and MPhil Thesis Classes

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I am indebted to Katalin Keserű from MTA-SZTAKI, and various offices at Péter Pázmány Catholic University for their practical and official aid. I am very grateful to my mother and father and to my whole family who always tolerated the rare meeting with me and supported me in all possible ways.
Contents 1 Introduction 1 1.1 Cellular Neural/Nonlinear Network . . . . . . . . . . . . . . . . . 4 1.1.1 Linear templates . . . . . . . . . . . . . . . . . . . . . . . 4 1.1.2 Nonlinear templates . . . . . . . . . . . . . . . . . . . . . 6 1.2 Cellular Neural/Nonlinear Network - Universal Machine . . . . . . 7 1.3 CNN-UM Implementations . . . . . . . . . . . . . . . . . . . . . . 9 1.4 Field Programmable Gate Arrays . . . . . . . . . . . . . . . . . . 12 1.4.1 The general structure of FPGAs . . . . . . . . . . . . . . . 12 1.4.2 Routing Interconnect . . . . . . . . . . . . . . . . . . . . . 14 1.4.3 Dedicated elements, heterogenous structure . . . . . . . . 20 1.4.4 Xilinx FPGAs . . . . . . . . . . . . . . . . . . . . . . . . . 22 1.4.4.1 Xilinx Virtex 2 FPGA . . . . . . . . . . . . . . . 22 1.4.4.2 Xilinx Virtex 5 FPGAs . . . . . . . . . . . . . . 23 1.4.4.3 The capabilities of the modern Xilinx FPGAs . . 24 1.5 IBM Cell Broadband Engine Architecture . . . . . . . . . . . . . 26 1.5.1 Cell Processor Chip . . . . . . . . . . . . . . . . . . . . . . 26 1.5.2 Cell Blade Systems . . . . . . . . . . . . . . . . . . . . . . 32 1.6 Recent Trends in Many-core Architectures . . . . . . . . . . . . . 34 2 Mapping the Numerical Simulations of Partial Differential Equations 35 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 2.1.1 How to map CNN array to Cell processor array? . . . . . . 36 2.1.1.1 Linear Dynamics . . . . . . . . . . . . . . . . . . 36 2.1.1.2 Nonlinear Dynamics . . . . . . . . . . . . . . . . 45 i
Page 1: An Optimal Mapping of Numerical Sim
Page 5: Acknowledgements It is not so hard
Page 9: CONTENTS iii 4.3.3 Operating Steps
Page 12 and 13: 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
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2.1 Introduction 37 18 Load instruc
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2.1 Introduction 39 Instruction his
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2.1 Introduction 41 2E+07 1E+07 9E+
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2.1 Introduction 43 Main memory 8 t
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2.1 Introduction 45 6 4.5 3 Speedup
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2.1 Introduction 47 2.50E+07 1.88E+
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2.2 Ocean model and its implementat
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2.2 Ocean model and its implementat
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2.3 Computational Fluid Flow Simula
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Chapter 3 Investigating the Precisi
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3.2 Numerical Solutions of the PDEs
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3.3 Testing Methodology 73 In fixed
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3.4 Properties of the Arithmetic Un
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3.4 Properties of the Arithmetic Un
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3.5 Results 79 in the L2 cache of t
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3.5 Results 81 1E-02 1E-03 Error 1E
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3.5 Results 83 arithmetic unit requ
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3.6 Conclusion 85 point and the 40
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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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