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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
Molecular Dynamics
Basic Principles
Newton's Equations of Motion
Force Fields
Potential Energy Functions
Integration Algorithms
Verlet Algorithm
Velocity Verlet
Leapfrog Algorithm
Predictor-Corrector Methods
Interatomic Potentials
Lennard-Jones Potential
Coulomb Interactions
Bonded Interactions
Many-Body Potentials
Boundary Conditions
Periodic Boundary Conditions
Fixed Boundaries
Reflecting Boundaries
Thermodynamic Ensembles
Microcanonical Ensemble
Canonical Ensemble
Isothermal-Isobaric Ensemble
Temperature and Pressure Control
Thermostats
Barostats
Coupling Methods
Analysis Methods
Radial Distribution Functions
Mean Square Displacement
Correlation Functions
Thermodynamic Properties
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14. Data Analysis and Visualization