Computational Physics

  1. Linear Systems
    1. Direct Methods
      1. Gaussian Elimination
        1. LU Decomposition
          1. Cholesky Decomposition
            1. QR Decomposition
            2. Pivoting Strategies
              1. Partial Pivoting
                1. Complete Pivoting
                  1. Scaled Partial Pivoting
                  2. Iterative Methods
                    1. Jacobi Method
                      1. Gauss-Seidel Method
                        1. Successive Over-Relaxation
                          1. Conjugate Gradient Method
                          2. Sparse Matrix Methods
                            1. Storage Formats
                              1. Sparse Direct Solvers
                                1. Sparse Iterative Solvers
                                2. Preconditioning
                                  1. Diagonal Preconditioning
                                    1. Incomplete LU Factorization
                                      1. Multigrid Preconditioning

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                                    7. Numerical Integration

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                                    9. Eigenvalue Problems