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The Science of Computer Benchmarking
This book provides an introduction to computer benchmarking. Hockney includes material concerned with the definition of performance parameters and metrics and defines a set of suitable metrics with which to measure performance and units with which to express them. He also presents new ideas resulting from the application of dimensional analysis to the field of computer benchmarking.
Computer Simulation Using Particles
Computer simulation of systems has become an important tool in scientific research and engineering design, including the simulation of systems through the motion of their constituent particles. Important examples of this are the motion of stars in galaxies, ions in hot gas plasmas, electrons in semiconductor devices, and atoms in solids and liquids. The behavior of the system is studied by programming into the computer a model of the system and then performing experiments with this model. New scientific insight is obtained by observing such computer experiments, often for controlled conditions that are not accessible in the laboratory. Computer Simulation using Particles deals with the simul...
The Art of Differentiating Computer Programs
In this entry-level book on algorithmic (also known as automatic) differentiation (AD) the author covers the mathematical underpinnings as well as applications to real-world numerical simulation programs. Readers will find many examples and exercises, including hints to solutions. A supplementary website contains software sources, additional exercises, useful links and errata.
LAPACK95 Users' Guide
LAPACK95 Users' Guide provides an introduction to the design of the LAPACK95 package.
Numerical Linear Algebra on High-Performance Computers
Provides a rapid introduction to the world of vector and parallel processing for these linear algebra applications.
Simulating, Analyzing, and Animating Dynamical Systems
Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students provides sophisticated numerical methods for the fast and accurate solution of a variety of equations, including ordinary differential equations, delay equations, integral equations, functional equations, and some partial differential equations, as well as boundary value problems. It introduces many modeling techniques and methods for analyzing the resulting equations. Instructors, students, and researchers will all benefit from this book, which demonstrates how to use software tools to simulate and study sets of equations that arise in a variety of applications. Instructors will learn how to use computer software in their differential equations and modeling classes, while students will learn how to create animations of their equations that can be displayed on the World Wide Web. Researchers will be introduced to useful tricks that will allow them to take full advantage of XPPAUT's capabilities.
Templates for the Solution of Algebraic Eigenvalue Problems
Mathematics of Computing -- Numerical Analysis.
A Tutorial on Elliptic PDE Solvers and Their Parallelization
This compact yet thorough tutorial is the perfect introduction to the basic concepts of solving partial differential equations (PDEs) using parallel numerical methods. In just eight short chapters, the authors provide readers with enough basic knowledge of PDEs, discretization methods, solution techniques, parallel computers, parallel programming, and the run-time behavior of parallel algorithms to allow them to understand, develop, and implement parallel PDE solvers. Examples throughout the book are intentionally kept simple so that the parallelization strategies are not dominated by technical details.
Lectures on Finite Precision Computations
Mathematics of Computing -- Numerical Analysis.
