Computing for numerical methods using Visual C++ /
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| Author / Creator: | Salleh Shaharuddin, 1956- |
|---|---|
| Imprint: | Hoboken, N.J. : Wiley-Interscience, c2008. |
| Description: | xvii, 448 p. : ill. ; 25 cm. |
| Language: | English |
| Series: | Wiley series on parallel and distributed computing |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/6816454 |
Table of Contents:
- Preface
- Codes for Download
- 1. Modeling and Simulation
- 1.1. Numerical Approximation
- 1.2. C++ for Numerical Modeling
- 1.3. Mathematical Modeling
- 1.4. Simulation and Its Visualization
- 1.5. Numerical Methods
- 1.6. Numerical Applications
- 2. Fundamental Tools for Mathematical Computing
- 2.1. C++ for High-Performance Computing
- 2.2. Dynamic Memory Allocation
- 2.3. Matrix Reduction Problems
- 2.4. Matrix Algebra
- 2.5. Algebra of Complex Numbers
- 2.6. Number Sorting
- 2.7. Summary
- Programming Challenges
- 3. Numerical Interface Designs
- 3.1. Microsoft Foundation Classes
- 3.2. Graphics Device Interface
- 3.3. Writing a Basic Windows Program
- 3.4. Displaying Text and Graphics
- 3.5. Events and Methods
- 3.6. Standard Control Resources
- 3.7. Menu and File I/O
- 3.8. Keyboard Control
- 3.9. MFC Compatibility with .Net
- 3.10. Summary
- 4. Curve Visualization
- 4.1. Tools for Visualization
- 4.2. MyParser
- 4.3. Drawing Curves
- 4.4. Generating Curves Using MyParser
- 4.5. Summary
- Programming Challenges
- 5. Systems of Linear Equations
- 5.1. Introduction
- 5.2. Existence of Solutions
- 5.3. Gaussian Elimination Techniques
- 5.4. LU Factorization Methods
- 5.5. Iterative Techniques
- 5.6. Visualizing the Solution: Code5
- 5.7. Summary
- Numerical Exercises
- Programming Challenges
- 6. Nonlinear Equations
- 6.1. Introduction
- 6.2. Existence of Solutions
- 6.3. Bisection Method
- 6.4. False Position Method
- 6.5. Newton-Raphson Method
- 6.6. Secant Method
- 6.7. Fixed-Point Iteration Method
- 6.8. Visual Solution: Code6
- 6.9. Summary
- Numerical Exercises
- Programming Challenges
- 7. Interpolation and Approximation
- 7.1. Curve Fitting
- 7.2. Lagrange Interpolation
- 7.3. Newton Interpolations
- 7.4. Cubic Spline
- 7.5. Least-Squares Approximation
- 7.6. Visual Solution: Code7
- 7.7. Summary
- Numerical Exercises
- Programming Challenges
- 8. Differentiation and Integration
- 8.1. Introduction
- 8.2. Numerical Differentiation
- 8.3. Numerical Integration
- 8.4. Visual Solution: Code8
- 8.5. Summary
- Numerical Exercises
- Programming Challenges
- 9. Eigenvalues and Eigenvectors
- 9.1. Eigenvalues and Their Significance
- 9.2. Exact Solution and Its Existence
- 9.3. Power Method
- 9.4. Shifted Power Method
- 9.5. QR Method
- 9.6. Visual Solution: Code9
- 9.7. Summary
- Numerical Exercises
- Programming Challenges
- 10. Ordinary Differential Equations
- 10.1. Introduction
- 10.2. Initial-Value Problem for First-Order ODE
- 10.3. Taylor Series Method
- 10.4. Runge-Kutta of Order 2 Method
- 10.5. Runge-Kutta of Order 4 Method
- 10.6. Predictor-Corrector Multistep Method
- 10.7. System of First-Order ODEs
- 10.8. Second-Order ODE
- 10.9. Initial-Value Problem for Second-Order ODE
- 10.10. Finite-Difference Method for Second-Order ODE
- 10.11. Differentiated Boundary Conditions
- 10.12. Visual Solution: Code10
- 10.13. Summary
- Numerical Exercises
- Programming Challenges
- 11. Partial Differential Equations
- 11.1. Introduction
- 11.2. Poisson Equation
- 11.3. Laplace Equation
- 11.4. Heat Equation
- 11.5. Wave Equation
- 11.6. Visual Solution: Code11
- 11.7. Summary
- Numerical Exercises
- Programming Exercises
- Index
