REFERENCES
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
S. Salleh, B. Sanugi, H. Jamaluddin, S. Olariu, and A. Y. Zomaya, Enhanced simulated annealing technique for the single-row routing problem, Journal of Supercomputing, 21(3), 2002, 285–302.
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