
Computational Technologies
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This book discusses questions of numerical solutions of applied problems on parallel computing systems.
Nowadays, engineering and scientific computations are carried out on parallel computing systems, which provide parallel data processing on a few computing nodes. In the development of up-to-date applied software, this feature of computers must be taken into account for the maximum efficient usage of their resources. In constructing computational algorithms, we should separate relatively independent subproblems in order to solve them on a single computing node.
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Content
- Intro
- List of contributors
- Contents
- Preface
- Introduction
- 1 Architecture of parallel computing systems
- 1.1 History of computers
- 1.2 Architecture of parallel computers
- 1.3 Modern supercomputers
- 1.4 Multicore computers
- 1.5 Operating system processes and threads
- 1.6 Programming multi-threaded applications
- 2 Multi-threaded programming
- 2.1 POSIX threads
- 2.2 Creating and terminating threads
- 2.3 Thread life-cycle
- 2.4 Multi-threaded matrix summation
- 2.5 Thread synchronization
- 3 Essentials of OpenMP
- 3.1 OpenMP parallel programming model
- 3.2 The parallel construct
- 3.3 Work-sharing constructs
- 3.4 Work-sharing clauses
- 3.5 Synchronization
- 3.6 Dirichlet problem for the Poisson equation
- 4 MPI technology
- 4.1 Preliminaries
- 4.2 Message-passing operations
- 4.3 Functions of collective interaction
- 4.4 Dirichlet problem for the Poisson equation
- 5 ParaView: An efficient toolkit for visualizing large datasets
- 5.1 An overview
- 5.2 Data file formats
- 5.3 Preparing data
- 5.4 Working with ParaView
- 5.5 Parallel visualization
- 6 Tools for developing parallel programs
- 6.1 Installation of PTP
- 6.2 Program management
- 6.3 Parallel debugging
- 6.4 Performance analysis
- 7 Applied software
- 7.1 Numerical simulation
- 7.2 Applied software engineering
- 7.3 Software architecture
- 7.4 General purpose applied software
- 7.5 Problem-oriented software
- 8 Geometry generation and meshing
- 8.1 General information
- 8.2 The Gmsh workflow
- 8.3 NETGEN first look
- 9 PETSc for parallel solving of linear and nonlinear equations
- 9.1 Preliminaries
- 9.2 Solvers for systems of linear equations
- 9.3 Solution of nonlinear equations and systems
- 9.4 Solving unsteady problems
- 10 The FEniCS project
- 10.1 Preliminaries
- 10.2 Model problem
- 10.3 Finite element discretization
- 10.4 Program
- 10.5 Result processing
- 10.6 Nonlinear problems
- 10.7 Time-dependent problems
- 11 Numerical study of applied problems
- 11.1 Heat transfer with phase transitions
- 11.2 Lid-driven cavity flow
- 11.3 Steady thermoelasticity problem
- 11.4 Joule heating problem
- Bibliography
- Index
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