Computational Physics

  1. Computer Arithmetic and Error Analysis
    1. Number Representation
      1. Binary Number System
        1. Floating-Point Representation
          1. IEEE 754 Standard
            1. Machine Epsilon
            2. Precision and Accuracy
              1. Single Precision
                1. Double Precision
                  1. Extended Precision
                  2. Sources of Numerical Error
                    1. Round-off Error
                      1. Truncation Error
                        1. Discretization Error
                          1. Algorithmic Error
                          2. Error Propagation
                            1. Error Accumulation
                              1. Error Amplification
                                1. Condition Numbers
                                2. Numerical Stability
                                  1. Stable Algorithms
                                    1. Unstable Algorithms
                                      1. Ill-conditioned Problems

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                                    3. Programming Fundamentals

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                                    5. Root Finding Methods