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Physics
Applied and Interdisciplinary Physics
Computational Physics
1. Introduction to Computational Physics
2. Mathematical Foundations
3. Programming Fundamentals
4. Computer Arithmetic and Error Analysis
5. Root Finding Methods
6. Numerical Differentiation
7. Numerical Integration
8. Linear Systems
9. Eigenvalue Problems
10. Ordinary Differential Equations
11. Partial Differential Equations
12. Monte Carlo Methods
13. Molecular Dynamics
14. Data Analysis and Visualization
15. Applications in Classical Mechanics
16. Applications in Electromagnetism
17. Applications in Quantum Mechanics
18. Applications in Statistical Mechanics
19. Applications in Fluid Dynamics
20. High-Performance Computing
Eigenvalue Problems
Power Iteration
Basic Power Method
Inverse Power Method
Shifted Power Method
QR Algorithm
Basic QR Method
QR with Shifts
Implicit QR
Jacobi Method
Classical Jacobi
Cyclic Jacobi
Lanczos Method
Arnoldi Method
Applications
Principal Component Analysis
Normal Mode Analysis
Quantum Mechanical Systems
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10. Ordinary Differential Equations