Scientific Computing : An Introduction with Parallel Computing

This book introduces the basic concepts of parallel and vector computing in the context of an introduction to numerical methods. It contains chapters on parallel and vector matrix multiplication and solution of linear systems by direct and iterative methods. It is suitable for advanced undergraduate and beginning graduate courses in computer science, applied mathematics, and engineering. Ideally, students will have access to a parallel or Vector computer, but the material can be studied profitably in any case. * Gives a modern overview of scientific computing including parallel an vector computation * Introduces numerical methods for both ordinary and partial differential equations * Has considerable discussion of both direct and iterative methods for linear systems of equations, including parallel and vector algorithms * Covers most of the main topics for a first course in numerical methods and can serve as a text for this course Scientific Computing: An introduction with Parallel Computing introduces the basic concepts of parallel and vectoring computing in the context of an introduction to numerical methods. This book contains chapters on parallel and vector matrix multiplication and solutions of linear systems by direct and iterative methods. It is suitable for advanced undergraduate and beginning graduate courses in computer science, applide mathematics, and engineering. Ideally, students will have access to a parallel or vector computer, but the material can be studied profitably without one.

-Gives a modern overview of scientific computing including parallel and vector computation.

-Introduces numerical methods for both ordinary and partial differential equations.

-Discusses both direct and iterative methods for linear systems of equations, including parallel and vector algorithms.

This book introduces the basic concepts of parallel and vector computing in the context of an introduction to numerical methods. It contains chapters on parallel and vector matrix multiplication and solution of linear systems by direct and iterative methods. It is suitable for advanced undergraduate and beginning graduate courses in computer science, applied mathematics, and engineering. Ideally, students will have access to a parallel or Vector computer, but the material can be studied profitably in any case. Gives a modern overview of scientific computing including parallel an vector computation

Content: Front Matter, Page iii Copyright, Page iv Dedication, Page v Preface, Pages ix-x Chapter 1 - The World of Scientific Computing, Pages 1-14 Chapter 2 - Linear Algebra, Pages 15-48 Chapter 3 - Parallel and Vector Computing, Pages 49-89 Chapter 4 - Polynomial Approximation, Pages 91-135 Chapter 5 - Continuous Problems Solved Discretely, Pages 137-213 Chapter 6 - Direct Solution of Linear Equations, Pages 215-274 Chapter 7 - Parallel Direct Methods, Pages 275-320 Chapter 8 - Iterative Methods, Pages 321-369 Chapter 9 - Conjugate Gradient-Type Methods, Pages 371-412 Bibliography, Pages 413-428 Author Index, Pages 429-433 Subject Index, Pages 435-442 Introduces the basic concepts of parallel and vector computing in the context of an introduction to numerical methods. The book contains chapters on parallel and vector matrix multiplication and on the solution of linear systems by direct and iterative methods.