System Modeling and Simulation

  1. Continuous Simulation
    1. Mathematical Foundations
      1. Differential Equations
        1. System of Equations
          1. State Variables and Derivatives
            1. Initial Conditions
              1. Boundary Conditions
              2. Numerical Integration Methods
                1. Euler Method
                  1. Runge-Kutta Methods
                    1. Adams Methods
                      1. Predictor-Corrector Methods
                        1. Stiff System Solvers
                        2. Model Structure and Representation
                          1. Block Diagram Representation
                            1. Signal Flow Graphs
                              1. State Space Models
                                1. Transfer Function Models
                                2. Implementation Considerations
                                  1. Step Size Selection
                                    1. Numerical Stability
                                      1. Accuracy Control
                                        1. Error Estimation
                                        2. Application Areas
                                          1. Physical Systems
                                            1. Chemical Processes
                                              1. Biological Systems
                                                1. Economic Models
                                                  1. Environmental Systems

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                                                6. Discrete-Event Simulation

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                                                8. System Dynamics