Computational Physics

  1. Numerical Integration
    1. Newton-Cotes Formulas
      1. Trapezoidal Rule
        1. Simpson's Rule
          1. Composite Rules
          2. Gaussian Quadrature
            1. Legendre Polynomials
              1. Gauss-Legendre Quadrature
                1. Other Gaussian Methods
                2. Adaptive Integration
                  1. Adaptive Simpson's Rule
                    1. Romberg Integration
                    2. Monte Carlo Integration
                      1. Basic Monte Carlo
                        1. Importance Sampling
                          1. Stratified Sampling
                          2. Multidimensional Integration
                            1. Product Rules
                              1. Sparse Grids
                                1. Monte Carlo Methods

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                              6. Numerical Differentiation

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                              8. Linear Systems