Mathematical and computational modeling and simulation: fundamentals and case studies
Mathematical and Computational Modeling and Simulation - a highly multi-disciplinary field with ubiquitous applications in science and engineering - is one of the key enabling technologies of the 21st century. This book introduces to the use of Mathematical and Computational Modeling and Simulation in order to develop an understanding of the solution characteristics of a broad class of real-world problems. The relevant basic and advanced methodologies are explained in detail, with special emphasis on ill-defined problems. Some 15 simulation systems are presented on the language and the logical level. Moreover, the reader can accumulate experience by studying a wide variety of case studies. The latter are briefly described within the book but their full versions as well as some simulation software demos are available on the Web. The book can be used for University courses of different level as well as for self-study. Advanced sections are marked and can be skipped in a first reading or in undergraduate courses.
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Deterministic test signal
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ACSL algorithm analysis angular assumed behavior block diagram calculated capacitor components constant continuous-time criterion defined described differential equations discrete discrete-event discrete-time discrete-time systems distribution domain dynamic system electrical network elements equation-error error error functional event Example federation FEMLAB first-order flow follows fuzzy sets given heat Hence identifiable inductor input interaction Laplace transform linear liquid capacitance mass mathematical model MATLAB matrix means meant membership function method Modelica modeling and simulation ModelMaker neuron nonlinear notation numeric integration objects obtain ordinary differential equations output variable parameter vector pendulum Petri-net problem queue queuing systems RCL network reactor real-world system representation represents respective RoboCup sequence server shown in Fig simulation run simulation software systems simulation system SIMULINK solution solved specific state-variable step structure Study system model term tion traffic transfer function true model values velocity virtual reality voltage zero