TRADEMARKS
by Sakhinah A. Bakar, Albert Y. Zomaya, Shaharuddin Salleh
Computing for Numerical Methods Using Visual C++
- Copyright
- TRADEMARKS
- PREFACE
- CODES FOR DOWNLOAD
- 1. Modeling and Simulation
- REFERENCES
- 2. Fundamental Tools for Mathematical Computing
- 3. Numerical Interface Designs
- 4. Curve Visualization
- 5. Systems of Linear Equations
- 6. Nonlinear Equations
- 7. Interpolation and Approximation
- 8. Differentiation and Integration
- 9. Eigenvalues and Eigenvectors
- 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
- 10.12.1. Taylor Series of Order 3 Solution
- 10.12.2. Runge-Kutta of Order 2 Solution
- 10.12.3. Runge-Kutta of Order 4 Solution
- 10.12.4. Adams-Bashforth-Moulton Multistep Solution
- 10.12.5. ODE System Solution
- 10.12.6. ODE2 to ODE1 Solution
- 10.12.7. ODE2 Finite-Difference 1 Solution
- 10.12.8. ODE2 Finite-Difference 2 Solution
- 10.13. SUMMARY
- 10.14. NUMERICAL EXERCISES
- 10.15. PROGRAMMING CHALLENGES
- 11. Partial Differential Equations
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Visual Studio and Visual Studio.Net are the trademarks of Microsoft Corporation.
Visual C++ and Visual C++.Net are the trademarks of Microsoft Corporation.
Microsoft Foundation Classes is the trademark of Microsoft Corporation.
Matlab is the trademark of The Mathworks, Inc., Natick, MA.
Maple is the trademark of Waterloo Maple, Inc., Waterloo, Ontario, Canada.
Mathematica is the trademark of Wolfram Research, Inc., Champaign, IL.
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