. "Applied Mathematics"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . "Stochastic processes and simulation"@en . . "4.00" . "Course Contents This course introduces various stochastic processes and Monte Carlo simulation to model and analyze aerospace engineering\nsystems under uncertainty. The topics covered in the course are as follows:\n1. Markov chains: Markov property, Chapman-Kolmogorov equations, ergodicity, transition probability matrix, Monte Carlo\nsimulation.\n2. Discrete-Time Continuous-State stochastic processes: linear difference equations, Monte Carlo simulation.\n3. Continuous-Time Markov chains: Q-matrix, stationarity, Monte Carlo simulation.\n4. Poisson processes: properties, time discretization, Monte Carlo simulation.\n5. Brownian motion: properties, Monte Carlo simulation.\n6. Stochastic differential equations, Monte Carlo simulation.\nThe stochastic processes above are illustrated by means of applications in air transportation such as, for instance, aircraft\nmaintenance and airport operations under uncertainty.\nStudy Goals The aim of this course is to provide students with a working understanding of a variety of stochastic processes that are of\nrelevance in aerospace engineering. At the end of the course, the students should be able to:\n1. State the defining properties of various stochastic processes.\n2. Model various applications in air transportation using appropriate stochastic processes.\n3. Evaluate the performace of various stochastic models in air transportation by conducting an analytical analysis or by means of\nMonte Carlo simulation.\n5. Explain the difference in results between the Monte Carlo simulation and the analytical results.\n6. Identify the advantages and limitations of Monte Carlo simulation" . . "Blended"@en . "TRUE" . . "Master in Aerospace engineering"@en . . "Luchtvaart- en Ruimtevaarttechniek (tudelft.nl)" . "120"^^ . "Presential"@en . "In the MSc programme in Aerospace Engineering, you will have abundant opportunities for working on projects and internships across the globe, taking advantage of established relationships with Schiphol Airport, the European Space Agency, KLM, Airbus and other aerospace industries and research institutes. You will also have the option of working as a team member in international competitions in extra-curricular activities.\n\nAt TU Delft, you will obtain hands-on experience whilst working in test and laboratory facilities that are unsurpassed in Europe. Our facilities include low-speed and high-speed (up to Mach 11) wind tunnels, GPS measurement stations, the Structures and Materials Laboratory, the SIMONA research flight simulator, a Cessna Citation II flying laboratory, a collection of large and small aircraft and spacecraft parts, the Delfi Ground Station for satellite communications and a clean room for research and training on our own university satellites."@en . . . . . . . . . "2"@en . "FALSE" . . "Master"@en . "Thesis" . "2314.00" . "Euro"@en . "20560.00" . "Mandatory" . "no data"@en . "6"^^ . "TRUE" . "Upstream"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .