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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
Applications in Fluid Dynamics
Incompressible Flow
Navier-Stokes Equations
Pressure Projection Methods
Vorticity-Stream Function Formulation
Compressible Flow
Euler Equations
Shock Waves
Riemann Problems
Lattice Boltzmann Methods
Kinetic Theory
Collision Models
Boundary Conditions
Turbulence
Direct Numerical Simulation
Large Eddy Simulation
Reynolds-Averaged Navier-Stokes
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18. Applications in Statistical Mechanics
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20. High-Performance Computing