ajout

diff --git a/BookGPU/Chapters/chapter1/biblio.bib b/BookGPU/Chapters/chapter1/biblio.bib
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+@misc{ch1:cuda,
+  author = {{NVIDIA Corporation}},
+  keywords = {CUDA},
+  note = {Version 4.0},
+  title = {{NVIDIA CUDA C} Programming Guide},
+  year = 2011
+}
+
+@Article{ch1:Buck:2004:BGS,
+  author =     "I. Buck and T. Foley and D. Horn and J.
+                Sugerman and K. Fatahalian and M. Houston and P.
+                Hanrahan",
+  title =      "{Brook} for {GPUs}: stream computing on graphics
+                hardware",
+  journal =    "ACM Transactions on Graphics",
+  volume =     "23",
+  number =     "3",
+  pages =      "777--786",
+  month =      aug,
+  year =       "2004",
+}
+
+
+@article{ch1:CMR:12,
+     author    = "B. Cloutier and B. K. Muite and P. Rigge",
+     title     = "A comparison of CPU and GPU performance for Fourier pseudospectral simulations of the Navier-Stokes, Cubic Nonlinear Schrödinger and Sine Gordon Equations",
+     journal   = "Computational Physics (physics.comp-ph)",
+     year      = "2012",
+     archivePrefix = "arXiv",
+     eprint        = "1206.3215",
+     primaryClass  = "physics.comp-ph",
+}
+
+
+

diff --git a/BookGPU/Chapters/chapter1/ch1.tex b/BookGPU/Chapters/chapter1/ch1.tex
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+\chapterauthor{Raphaël Couturier}{Femto-ST Institute, University of Franche-Comte}
+
+
+\chapter{Presentation of the GPU architecture and of the CUDA environment}
+\label{chapter1}
+
+\section{Introduction}\label{ch1:intro}
+
+This chapter introduces the Graphics  Processing Unit (GPU) architecture and all
+the concepts needed to understand how GPUs  work and can be used to speed up the
+execution of some algorithms. First of all this chapter gives a brief history of
+the development of Graphics card until they can be used in order to make general
+purpose computation.
+
+
+
+\section{Brief history of Video Card}
+
+Video  card or  Graphics card  have been  introduced in  personnal  computers to
+produce  high quality  graphics faster  than classical  Central  Processing Unit
+(CPU) and  to alleviate CPU from this  task. In general, display  tasks are very
+repetitive and very specific.  Hence,  some manufacturers have produced more and
+more sofisticated video cards, providing 2D accelerations then 3D accelerations,
+then some  light transforms. Video cards  own their own memory  to perform their
+computation.  From  at least two dedaces,  every personnal computer  has a video
+card which a  simple for desktop computers or  which provides many accelerations
+for game  and/or graphic oriented computers.  In the latter  case, graphic cards
+may be more expensive than the CPU.
+
+After 2000,  video cards allowed to apply  arithmetics operations simulatenously
+on a  sequence of  pixels, also  later called stream  processing. In  this case,
+information of the  pixels (color, location and other  information) are combined
+in   order  to   produce   a  pixel   color   that  can   be   displayed  on   a
+screen.  Simultaneous  computations  are  provided by  shaders  which  calculate
+rendering effects on graphics hardware  with a high degree of flexibility. These
+shaders handles the stream data with pipelines
+
+
+Some reasearchers  tried to apply  those operations on other  data, representing
+something different  from pixels,  and consequently this  resulted in  the first
+uses of video cards for  performing general purpose computation. The programming
+model  was not  easy  to use  at  all and  was very  dependent  of the  hardware
+constraints.  More precisely  it consisted  in  using either  DirectX of  OpenGL
+functions  providing  an  interface  to  some classical  operations  for  videos
+operations  (memory  transfers,   texture  manipulation,  ...).  Floating  point
+operations were  most of  the time unimaginable.   Obviously when  something bad
+happened, programmers had no way (and tools) to detect it.
+
+\section{GPGPU}
+
+In order  to benefit from the computing  power of more recent  video cards, CUDA
+was first proposed in 2007 by  NVidia. It unifies the programming model for some
+of  their most performant  video cards.   Cuda~\cite{ch1:cuda} has  quickly been
+considered by  the scientific community as  a great advance  for general purpose
+graphics processing  unit (GPGPU) computing.  Of course  other programming model
+have been  proposed. The  other well-known alternative  is OpenCL which  aims at
+proposing an alternative to Cuda  and which is multi-platform and portable. This
+is a  great advantage since  it is even  possible to execute OpenCL  programs on
+traditionnal  CPUs.  The  main  drawbacks is  that  it is  less  tight with  the
+hardware and consequently provides  sometimes less efficient programs. Moreover,
+Cuda benefits  from more mature compilation and  optimization procedures.  Other
+less known environment  have been proposed, but most of  them have been stopped,
+for example we  can cited: FireStream by ATI which is  not maintened anymore and
+replaced  by  OpenCL,  BrookGPU  by  Standford  University~\cite{ch1:Buck:2004:BGS}.
+Another environment based  on pragma (insertion of pragma  directives inside the
+code to  help the compiler  to generate efficient  code) is call OpenACC.  For a
+comparison with OpenCL, interested readers may refer to~\cite{ch1:CMR:12}.
+
+
+
+\section{Architecture of current GPUs}
+
+Architecure  of current GPUs  is constantly  evolving. Nevertheless  some trends
+remains true  through this evolution. Processing  units composing a  GPU are far
+more simpler  than a  traditional CPU but  it is  much easier to  integrate many
+computing units inside a  GPU card than many cores inside a  CPU. This is due to
+the fact that cores  of a GPU a simpler than cores of a  CPU.  In 2012, the most
+powerful  GPUs own  more  than  500 cores  and  the most  powerful  CPUs have  8
+cores. Figure~\ref{ch1:fig:comparison_cpu_gpu} shows  the number of cores inside
+a  CPU  and  inside a  GPU.   In  fact,  in  a  current NVidia  GPU,  there  are
+multiprocessors which have 32 cores (for example on Fermi cards). The core clock
+of CPU is generally around 3GHz and the one of GPU is about 1.5GHz. Although the
+core clock  of GPU cores is  slower, the amount  of cores inside a  GPU provides
+more computational power. This measure  is commonly represented by the number of
+floating point operation  per seconds. Nowadays most powerful  GPUs provide more
+than 1TFlops, i.e. $10^{12}$ floating point operations per second.  Nevertheless
+GPUs  are  very efficient  to  perform  some operations  but  not  all kinds  of
+operations. They are very efficient to execute repetitive work in which only the
+data change. It  is important to keep in mind that  multiprocessors inside a GPU
+have 32 cores. Later we will see that these 32 cores need to do the same work to
+get maximum performance.
+
+\begin{figure}[b!]
+\centerline{\includegraphics[]{Chapters/chapter1/figures/nb_cores_CPU_GPU.pdf}}
+\caption[Comparison of number of cores in a CPU and in a GPU]{Comparison of number of cores in a CPU and in a GPU.}
+\label{ch1:fig:comparison_cpu_gpu}
+\end{figure}
+
+On most powerful  GPU cards, called Fermi, multiprocessors  are called streaming
+multiprocessors  (SM). Each  SM contains  32  cores and  is able  to perform  32
+floating point or integer operations on  32bits numbers per clock or 16 floating
+point  on  64bits number  per  clock. SM  have  their  own registers,  execution
+pipelines and caches.  On Fermi architecture,  there are 64Kb shared memory + L1
+cache  and 32,536 32bits  registers per  SM. More  precisely the  programmer can
+decide what amount  of shared memory and  L1 cache SM can use.  The constaint is
+that the sum of both amounts is less or equal to 64Kb.
+
+Threads are used to  benefit from the important number of cores  of a GPU. Those
+threads    are   different    from    traditional   threads    for   CPU.     In
+chapter~\ref{chapter2},  some  examples of  GPU  programming  will explicit  the
+details of  the GPU  threads. However,  threads are gathered  into blocks  of 32
+threads, called ``warp''. Those warps  are important when designing an algorithm
+for GPU.
+
+
+Another big  difference between CPU and GPU  is the latency of  memory.  In CPU,
+everything is optimized  to obtain a low latency  architecture. This is possible
+through  the  use  of  cache  memories. Moreover,  nowadays  CPUs  perform  many
+performance optimizations  such as speculative execution  which roughly speaking
+consists in executing  a small part of  code in advance even if  later this work
+reveals to  be useless. In  opposite, GPUs do  not have low latency  memory.  In
+comparison GPUs have ridiculous cache memories. Nevertheless the architecture of GPUs is optimized for throughtput computation and it takes into account the memory latency.
+
+
+
+\begin{figure}[b!]
+\centerline{\includegraphics[scale=0.7]{Chapters/chapter1/figures/low_latency_vs_high_throughput.pdf}}
+\caption[Comparison of low latency of CPU and highthroughput of GPU]{Comparison of low latency of CPU and highthroughput of GPU.}
+\label{ch1:fig:latency_throughput}
+\end{figure}
+
+Figure~\ref{ch1:fig:latency_throughput}  illustrates   the  main  difference  of
+memory latency between a CPU and a  GPU. In a CPU, tasks ``ti'' are executed one
+by one with a short memory latency to get the data to process. After some tasks,
+there is  a context switch  that allows the  CPU to run  concurrent applications
+and/or multi-threaded  applications. Memory latencies  are longer in a  GPU, the
+the  principle  to   obtain  a  high  throughput  is  to   have  many  tasks  to
+compute. Later we  will see that those tasks are called  threads with CUDA. With
+this  principle, as soon  as a  task is  finished the  next one  is ready  to be
+executed  while the  waiting for  data for  the previous  task is  overlapped by
+computation of other tasks.
+
+
+
+\section{Kinds of parallelism}
+
+Many  kinds  of parallelism  are  avaible according  to  the  type of  hardware.
+Roughtly  speaking,  there are  three  classes  of parallism:  instruction-level
+parallelism,   data  parallelism   and   task  parallelism.   
+
+Instruction-level parallelism consists in re-ordering some instructions in order
+to executed  some of them in parallel  without changing the result  of the code.
+In  modern CPUs, instruction  pipelines allow  processor to  execute instruction
+faster.   With   a  pipeline  a  processor  can   execute  multiple  instruction
+simultaneously due  to the fact that  the output of a  task is the  input of the
+next one.
+
+Data parallelism consists  in executing the same program  with different data on
+different computing  units. Of course, no  depency should exist  between the the
+data. For example, it is easy  to parallelize loops without dependency using the
+data parallelism paradigm. This paradigm  is linked with the Single Instructions
+Multiple Data  (SIMD) architecture. This is  the kind of  parallism providing by
+GPUs.
+
+Taks parallelism  is the common parallism  achieved out on cluster  and grid and
+high performance  architecture where different  tasks are executed  by different
+computing units.
+
+\section{CUDA Multithreading}
+
+The data parallelism  of CUDA is more precisely based  on the Single Instruction
+Multiple Thread (SIMT) model. This is due to the fact that the programmer access
+to  the cores  by the  intermediate of  threads. In  the CUDA  model,  all cores
+execute the  same set of  instructions but with  different data. This  model has
+similarities with vector programming  model proposed for vector machines through
+the  1970s into  the  90s, notably  the  various Cray  platforms.   On the  CUDA
+architecture, the  performance is  led by the  use of  a huge number  of threads
+(from thousand upto  to millions). The particularity of the  model is that there
+is no context switching as in CPUs and each thread has its own registers. In practice, threads are executed by SM and are gathered into groups of 32 threads. Those groups are call ``warps''. Each SM alternatively executes ``active warps'' and warps becoming temporaly inactive due to waiting of data (as shown in Figure~\ref{ch1:fig:latency_throughput}).
+
+The key to scalability in the CUDA model is the use of a huge number of threads.
+In practice threads are not only gathered  in warps but also in thread blocks. A
+thread block is executed  by only one SM and it cannot  migrate. Typical size of
+thread block is a number power of two (for example: 64, 128, 256 or 512).
+
+
+
+In this  case, without changing anything inside  a CUDA code, it  is possible to
+run your  code with  a small CUDA  device or  most performant Tesla  CUDA cards.
+Blocks are  executed in any number depending  on the number of  SM available. So
+the  programmer  must  conceive  its  code  having this  issue  in  mind.   This
+independence between threads blocks provides the scalability of CUDA codes.
+
+\begin{figure}[b!]
+\centerline{\includegraphics[scale=0.65]{Chapters/chapter1/figures/scalability.pdf}}
+\caption[Scalability of GPU]{Scalability of GPU.}
+\label{ch1:fig:scalability}
+\end{figure}
+
+
+A kernel is a function which contains a block a instruction that are executed by
+threads of a GPU.  When the problem considered is a 2 dimensions or 3 dimensions
+problem,  it is  possible to  group thread  blocks into  grid. In  practice, the
+number of thread  blocks and the size  of thread block is given  in parameter to
+each  kernel.   Figure~\ref{ch1:fig:scalability}  illustrates  an example  of  a
+kernel composed  of 8  thread blocks. Then  this kernel  is executed on  a small
+device containing only 2 SMs. So in in  this case, blocks are executed 2 by 2 in
+any order.  If the kernel is executed  on a larger CUDA device containing 4 SMs,
+blocks  are executed  4  by 4  simultaneously.   The execution  times should  be
+approximately twice faster in the latter  case. Of course, that depends on other
+parameters that will be described later.
+
+Thread blocks provide a way to cooperation  in the sens that threads of the same
+block   cooperatively    load   and   store   blocks   of    memory   they   all
+use. Synchronizations of threads in the same block are possible (but not between
+thread of different blocks). Threads of the same block can also share results in
+order to compute a single  result. In chapter~\ref{chapter2}, some examples will
+explicit that.
+
+
+\section{Memory hierarchy}
+
+The memory  hierarchy of GPUs  is different from  the one of CPUs.  In practice,
+there is registers, local memory, shared memory, cache memroy and global memory.
+
+As  previously  mentioned each  thread  can access  its  own  registers.  It  is
+important to keep in mind that the  number of registers per block is limited. On
+recent cards,  this number is  limited to 64Kb  per SM.  Access to  registers is
+very fast, so when possible it is a good idea to use them.
+
+Likewise each thread can access local  memory which in practice much slower than
+registers.  In practice, local memory is automatically used by the compiler when
+all the  registers are  occupied. So  the best idea  is to  optimize the  use of
+registers even if this implies to reduce the number of threads per block. 
+
+Shared memory allows  cooperation between threads of the  same block.  This kind
+of memory  is fast by  it requires  to be manipulated  manually and its  size is
+limited.  It is accessible during the execution of a kernel. So the principle is
+to fill the shared  memory at the start of the kernel  with global data that are
+used very  frequently, then threads can  access it for  their computation.  They
+can obviously change  the content of this shared  memory either with computation
+or load of  other data and they can  store its content in the  global memory. So
+shared memory can  be seen as a cache memory  manageable manually. This requires
+obviously an effort from the programmer.
+
+On  recent cards,  the programmer  may decide  what amount  of cache  memory and
+shared memory is attributed to a kernel. The cache memory is a L1 cache which is
+directly  managed by  the GPU.  Sometimes,  this cache  provides very  efficient
+result and sometimes the use of shared memory is a better solution.
+
+\begin{figure}[b!]
+\centerline{\includegraphics[scale=0.60]{Chapters/chapter1/figures/memory_hierarchy.pdf}}
+\caption[Memory hierarchy of a GPU]{Memory hierarchy of a GPU.}
+\label{ch1:fig:memory_hierarchy}
+\end{figure}
+
+
+Figure~\ref{ch1:fig:memory_hierarchy}  illustrates  the  memory hierarchy  of  a
+GPU. Threads are represented on the top  of the figure. They can access to their
+own registers  and their local memory. Threads  of the same block  can access to
+the shared memory of this block. The cache memory is not represented here but it
+is local  to a thread. Then  each block can access  to the global  memory of the
+GPU.
+
+
+%%http://people.maths.ox.ac.uk/gilesm/pp10/lec2_2x2.pdf
+%%https://people.maths.ox.ac.uk/erban/papers/paperCUDA.pdf
+%%http://forum.wttsnxt.com/my_forum/viewtopic.php?f=5&t=9519
+%%http://www.cs.nyu.edu/manycores/cuda_many_cores.pdf
+%%http://www.cc.gatech.edu/~vetter/keeneland/tutorial-2011-04-14/02-cuda-overview.pdf
+%%http://people.maths.ox.ac.uk/~gilesm/cuda/
+
+
+\putbib[Chapters/chapter1/biblio]
+

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diff --git a/BookGPU/Chapters/chapter2/ch2.tex b/BookGPU/Chapters/chapter2/ch2.tex
new file mode 100755 (executable)
index 0000000..b06e9be
--- /dev/null
+++ b/BookGPU/Chapters/chapter2/ch2.tex
@@ -0,0 +1,45 @@
+\chapterauthor{Author Name1}{Affiliation text1}
+\chapterauthor{Author Name2}{Affiliation text2}
+
+
+\chapter{Introduction to CUDA}
+\label{chapter2}
+
+\section{Introduction}\label{intro}
+In this chapter  we give some simple examples on CUDA  programming.  The goal is
+not to provide an exhaustive presentation of all the functionalities of CUDA but
+rather giving some basic elements. Of  course, readers that do not know CUDA are
+invited to read other books that are specialized on CUDA programming.
+
+
+\section{First example}
+
+This first example is  intented to show how to build a  very simple example with
+CUDA.   The goal  of this  example is  to performed  the sum  of two  arrays and
+putting the  result into a  third array.   A cuda program  consists in a  C code
+which calls CUDA kernels that are executed on a GPU.
+
+
+As GPUs have  their own memory, the first step consists  in allocating memory on
+the GPU. A call to \texttt{cudaMalloc} allows to allocate memory on the GPU. The
+first  parameter of  this  function  is a  pointer  on a  memory  on the  device
+(i.e. the GPU). In this example, \texttt{d\_} is added on each variable allocated
+on the GPU meaning this variable  is on the GPU. The second parameter represents
+the size of the allocated variables, this size is in bits.
+
+In this example, we  want to compare the execution time of  the additions of two
+arrays in  CPU and  GPU. So  for both these  operations, a  timer is  created to
+measure the  time. CUDA proposes to  manipulate timers quick  easily.  The first
+step is  to create the timer, then  to start it and  at the end to  stop it. For
+each of these operations a dedicated functions is used.
+
+In  order to  compute  the  same sum  with  a GPU,  the  first  step consits  in
+transferring the data from the CPU (considered as the host with CUDA) to the GPU
+(considered as the  device with CUDA).  A call  to \texttt{cudaMalloc} allows to
+copy the content of an array allocated in the host to the device when the fourth
+parameter is set to  \texttt{cudaMemcpyHostToDevice}. The first parameter of the
+function is the destination array, the  second is the source array and the third
+is the number of elements to copy (exprimed in bytes).
+
+\putbib[biblio]
+

diff --git a/aa b/aa
deleted file mode 100644 (file)
index e69de29..0000000

diff --git a/plan.txt b/plan.txt
new file mode 100644 (file)
index 0000000..fa82f37
--- /dev/null
+++ b/plan.txt
@@ -0,0 +1,112 @@
+Chapter 1: Presentation of the GPU architecture 
+Author: Raphaël Couturier: University of Franche-Comte, France
+This chapter will introduce the GPU architecture and the classical model proposed by CUDA. All backgrounds necessary for the remainder of the book will be first presented here.
+
+
+Chapter 2: Simple examples with CUDA
+Author: Raphaël Couturier: University of Franche-Comte, France
+
+
+**** Part : image processing
+
+Chapter 3: Fast kernels for image and signal processing
+Authors: Gilles Perrot, Raphaël Couturier and Stéphane Domas: University of Franche-Comte, France, Nicolas Bertaux, University of Aix-Marseille, France
+In this chapter, we will introduce and present many kernels that can drastically enhance signal and image processing algorithms. Although these kernels seem to be very common, they have not yet been well described in the literature.
+
+
+Chapter 4: Region Based Algorithm for Large Images Segmentation on GPU
+Authors: Gilles Perrot, Raphaël Couturier and Stéphane Domas: University of Franche-Comte, France, Nicolas Bertaux, University of Aix-Marseille, France
+In this chapter, we will present an algorithm for region-based active contour techniques (snakes) as they seem to achieve a high level of robustness and fit with a large range of applications.
+
+
+
+
+
+****  Part : Software Development
+
+
+Chapter 5: On the development of high-performance software library for emerging architectures: design and analysis
+Authors: Allan P. Engsig-Karup, Bernd Dammann, Jeppe R. Frisvad and Stefan Lemvig: Technical University of Denmark, Denmark
+This chapter will present performance portable tuning techniques via a modern parallel programming. Then it will focus on efficient and scalable iterative methods for solution of high-order numerical methods and strategies for efficient implementations on desktop architectures.
+
+
+Chapter 6: Pertinence and development methodologies for GPU and cluster of GPU
+Authors: Sylvain Contassot-Vivier: University of Nancy, France, Stéphane Vialle, Supélec, Metz, France
+This chapter proposes to draw the main frontiers of the fields of applicability of GPU acceleration as well as development methodologies to obtain efficient codes in classical scientific applications.
+
+
+
+Chapter 7: Fast GPU-accelerated desktop application
+Authors: Allan P. Engsig-Karup, Bernd Dammann, Jeppe R. Frisvad and Stefan Lemvig: Technical University of Denmark, Denmark
+This chapter will present discussions, analysis and highlights of a new massively parallel engineering tool for nonlinear free surface flows intended for both engineering analysis and interactive real-time computing, e.g. for applications in coastal and offshore engineering and first of its kind physics-based ship simulation.
+
+
+
+
+
+
+**** Part : Optimization
+
+Chapter 8: GPU-accelerated Tree-based Exact Optimization Methods 
+Authors:  Imen Chakroun, Nouredine Melab and El-Ghazali Talbi: INRIA Lille, France
+This chapter will present the latest techniques and algorithms for solving tree-based exact optimization methods on GPU.
+
+Chapter 9: Parallel Meta-heuristics for Solving Challenging Problems on GPU Accelerators
+Authors:  Thé Van Luong, Nouredine Melab and El-Ghazali Talbi: INRIA Lille, France
+This chapter will describe parallel metaheuristics for solving complex problems in science and industry. This work is based on local search metaheuristics.
+
+Chapter 10: Linear programming on a GPU: a study case based on the simplex method and the branch-cut-and bound algorithm
+Authors: Paul Albuquerque: HES-SO, Geneva, Switzerland, Xavier Meyer and Bastien Chopard: University of Geneva, Switzerland
+This chapter will address the main issues related to programming the simplex method on a GPU. Then it will present how to integrate this GPU-based simplex method in a branch-cut-and-bound framework which will take place between the CPU and the GPU.
+
+Chapter 11: Performing large scale robust regression on GPUs
+Authors: Gleb Beliakov and Gang Li: Deakin University, Melbourne, Australia
+In this chapter we will report on the use of GPUs for large scale robust data analysis. Identification of outliers in large multivariate data sets is difficult, because outliers shift regression models in their direction so much that they become undetectable by their residuals.
+
+
+
+***** Part : Numerical applications
+
+Chapter 12: Sparse linear system solvers with the GMRES method on gpu clusters
+Authors: Lilia Ziane Khodja, Raphaël Couturier and Jacques Bahi: University of Franche Comte, France
+In this chapter, the adaptation of the GMRES method will be presented and several techniques (compression, partitioning …) allowing to increase the scalability of this algorithm for GPU cluster will be described.
+
+
+Chapter 13: Parallel solution of the Obstacle problem on GPU clusters
+Authors: Lilia Ziane Khodja, Raphaël Couturier and Jacques Bahi: University of Franche Comte, France, Ming Chau and Pierre Spiteri: University of Toulouse, France
+This chapter is devoted to the implementation of the Obstable problem on GPU clusters. This problem is a non linear PDE occurring in financial mathematics (option pricing) and constrained structure mechanics. Synchronous and asynchronous implementations will be analyzed.
+
+Chapter 14: Complex fluid lattice Boltzmann on GPU clusters
+Authors: Kevin Stratford and Alan Gray: University of Edinburg, United Kingdom
+This chapter will present a complex fluid lattice Boltzmann application such that it can scale and perform excellently on large-scale GPU clusters.
+
+Chapter 15: Deployment on GPU of an atomic physics program
+Authors: Pierre Fortin, Rachid Habel, Fabienne Jézéquel and Jean-Luc Lamotte: University of Paris 6, France Stan Scott
+This chapter will describe the deployment on GPUs of PROP, a program of the 2DRMP suite which models electron collisions with H-like atoms and ions.
+
+Chapter 16: GPU-based envelop-follow simulation techniques for power converters design
+Authors: Sheldon Tan + students: University of California, Riverside, USA
+This chapter will introduce a new envelope-following parallel transient analysis method for the general switching power converters. This method exploits the parallelism in the envelope-following method and parallelize the Newton update solving part, which is the most computational expensive, in GPU platforms to boost the simulation performance.
+
+Chapter 17: Domain decomposition method on GPU architecture
+Authors: Frédéric Magoules: Ecole centrale, Paris, France
+This chapter will present how GPU architecture can increase performances of domain decomposition methods.
+
+
+
+
+
+
+
+
+
+**** Part Other
+
+Chapter 18: Pseudo Random Number Generator on GPU
+Authors: Raphaël Couturier and Christophe Guyeux: University of Franche-Comte, France
+This chapter will present some pseudo random number generators which are essential in many applications. We have proposed a generator which has chaotic properties which are proved, whereas it is not the case for other generators. Our generator succeeds to pass all statistical battery series.
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+Chapter 19: Solving large sparse linear systems for integer factorization on GPUs  
+Authors: Bertil Schmidt and Hao Yu Dang: University of Mainz, Germany
+This chapter will present the number field sieve (NFS) which is the current state-of-the-art integer factorization method. It will focus on how GPUs can be used to accelerate this highly time consuming operation.