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by V Zalizniak, A Muhammad
Practical Scientific Computing
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Title page
Table of Contents
Copyright
Preface
Acknowledgements
Part I
Chapter 1: Introduction
1.1 Getting Started
1.2 Interpreter
1.3 Program
Chapter 2: Expressions
2.1 Matrix
2.2 Real Number
2.3 Complex Number
2.4 Boolean
2.5 String
2.6 Structure
2.7 Cell
2.8 Range Expression
2.9 Boolean Expression
2.10 Relational Expression
2.11 Numerical Expression
Chapter 3: Statements
3.1 Assignment Statement
3.2 Loop Statements
3.3 Conditional Statements
3.4 Continue and Break Statements
Chapter 4: Programming
4.1 Program
4.2 Function
4.3 Procedure
4.4 Java Programming
4.5 C Programming
Chapter 5: Architecture
5.1 Front-end
5.2 Back-end
5.3 User Interface
5.4 Gnuplot Interface
5.5 Execution Engine
Chapter 6: Plotting
6.1 Simple Function Plot (fplot)
6.2 Two-Dimensional Plots
6.3 Three-Dimensional Plots
Part II
Chapter 7: Solving Nonlinear Equations
7.1 Calculation of Roots with the use of Iterative Functions
7.2 Exercises
Chapter 8: Solving Systems of Linear Equations
8.1 Linear Algebra Background
8.2 Systems of Linear Equations
8.3 Types of Matrices that arise from Applications and Analysis
8.4 Error Sources
8.5 Condition Number
8.6 Direct Methods
8.7 Iterative Methods
8.8 Exercises
Chapter 9: Computational Eigenvalue Problems
9.1 Basic Facts concerning Eigenvalue Problems
9.2 Localization of Eigenvalues
9.3 Power Method
9.4 Inverse Iteration
9.5 Iteration with a Shift of Origin
9.6 The QR Method
9.7 Exercises
Chapter 10: Introduction to Finite Difference Schemes for Ordinary Differential Equations
10.1 Elementary Example of a Finite Difference Scheme
10.2 Approximation and Stability
10.3 Numerical Solution of Initial Value Problems
10.4 Numerical Solution of Boundary Value Problems
10.5 Error Estimation and Control
10.6 Exercises
Chapter 11: Interpolation and Approximation
11.1 Interpolation
11.2 Approximation of Functions and Data Representation
11.3 Exercises
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Table of Contents
Woodhead Publishing Series in Mathmatics
Practical Scientific Computing
Ali Muhammad
Victor Zalizniak
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