Author | Moeller, Dietmar P. F. author |
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Title | Mathematical and Computational Modeling and Simulation [electronic resource] : Fundamentals and Case Studies / by Dietmar P. F. Moeller |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004 |
Connect to | http://dx.doi.org/10.1007/978-3-642-18709-4 |
Descript | XV, 422 p. online resource |
1 Modeling Continuous-Time and Discrete-Time Systems -- 1.1 Introduction -- 1.2 Modeling Formalisms -- 1.3 System Elements and Models of Continuous-Time Systems -- 1.4 Block Diagram-based Algebraic Representation of Systems -- 1.5 Basic Principles of Discrete-Time Systems -- 1.6 Model Validation -- 1.7 References and Further Reading -- 1.8 Exercises -- 2 Mathematical Description of Continuous-Time Systems -- 2.1 Introduction -- 2.2 Controllability, Observability, and Identifiability -- 2.3 Time Domain Solution of the Linear State Equation System -- 2.4 Solution of the State Equation using the Laplace Transform -- 2.5 Eigenvalues of the Linear Vector-Equation Systems* -- 2.6 Stability Analysis* -- 2.7 First-Order Linear State-Equation Models -- 2.8 Second-Order Linear State-Equation Models -- 2.9 Higher-Order Linear State-Space Models* -- 2.10 Nonlinear State-Space Models* -- 2.11 References and Further Reading -- 2.12 Exercises -- 3 Mathematical Description of Discrete-Time Systems -- 3.1 Introduction -- 3.2 Statistical Models in Discrete-Time Systems -- 3.3 Discrete-Event Simulation of Queuing systems -- 3.4 Petri-Nets -- 3.5 Discrete-Event Simulation of Parallel Systems -- 3.6 References and Further Reading -- 3.7 Exercises -- 4 Simulation Sofware for Computational Modeling and Simulation -- 4.1 Introduction -- 4.2 Digital Simulation Systems -- 4.3 Simulation Software for Continuous-Time Systems -- 4.4 Discrete-Time System Simulation Software* -- 4.5 Multi-Domain Simulation Software for Large-Scale Systems* -- 4.6 Simulation Software for Mixed-Mode Circuits* -- 4.7 Combined Simulation Software -- 4.8 Checklist for the Selection of Simulation Software -- 4.9 References and Further Reading -- 4.10 Exercises -- 4.11 Case Study Examples -- 5 Parameter Identification of Dynamic Systems -- 5.1 Introduction -- 5.2 Mathematical Notation of the Identification Task -- 5.3 Identification Task -- 5.4 Output-Error Least Squares Method* -- 5.5 Equation-Error Least Squares Method* -- 5.6 Consistency of the Parameter Estimates* -- 5.7 Consistency Modifications of the Equation-Error Method* -- 5.8 Identifiability* -- 5.9 System Input Properties* -- 5.10 Parameter Identification of the Cardiovascular System* -- 5.11 Error-Functional Minimization by Gradient Methods* -- 5.12 Error-Functional Minimization by Direct Search Methods* -- 5.13 Identifiability and the Output-Error Least Squares Method* -- 5.14 References and Further Reading -- 5.15 Exercises -- 6 Soft-Computing Methods -- 6.1 Introduction -- 6.2 Fuzzy Logic -- 6.3 Neural Nets* -- 6.4 References and Further Reading -- 6.5 Exercises -- 7 Distributed Simulation -- 7.1 Introduction -- 7.2 Distributed Simulation of Traffic and Transportation -- 7.3 Introduction into HLA* -- 7.4 References and Further Reading -- 7.5 Exercises -- 8 Virtual Reality -- 8.1 Introduction -- 8.2 Virtual Reality applied to Medicine -- 8.3 Virtual Reality in Geo Science* -- 8.4 DDSim Prototyping Tool for Autonomous Robots -- 8.5 References and Further Reading -- 8.6 Exercises -- Appendix A -- Numeric Integration -- Single-Step Formulae -- Multi-Step Formulae -- Appendix B -- Laplace Transform -- Appendix C -- Online Resources