Computational Physics

  1. Partial Differential Equations
    1. Classification of PDEs
      1. Elliptic PDEs
        1. Parabolic PDEs
          1. Hyperbolic PDEs
          2. Finite Difference Methods
            1. Spatial Discretization
              1. Temporal Discretization
                1. Boundary Conditions
                2. Elliptic Equations
                  1. Laplace Equation
                    1. Poisson Equation
                      1. Iterative Solution Methods
                        1. Multigrid Methods
                        2. Parabolic Equations
                          1. Heat Equation
                            1. Diffusion Equation
                              1. Explicit Methods
                                1. Implicit Methods
                                  1. Crank-Nicolson Method
                                  2. Hyperbolic Equations
                                    1. Wave Equation
                                      1. Advection Equation
                                        1. Upwind Schemes
                                          1. Lax Methods
                                            1. CFL Condition
                                            2. Finite Element Methods
                                              1. Weak Formulation
                                                1. Basis Functions
                                                  1. Mesh Generation
                                                    1. Assembly Process
                                                    2. Spectral Methods
                                                      1. Fourier Spectral Methods
                                                        1. Chebyshev Spectral Methods
                                                          1. Pseudospectral Methods

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                                                        10. Ordinary Differential Equations

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                                                        12. Monte Carlo Methods