Numerical Science of Structural Design
| Numbering Code | G-AGR05 7EA19 LB83 | Year/Term | 2022 ・ First semester | |
|---|---|---|---|---|
| Number of Credits | 2 | Course Type | Lecture | |
| Target Year | Target Student | |||
| Language | Japanese and English | Day/Period | Mon.2 | |
| Instructor name |
FUJIHARA MASAYUKI (Graduate School of Agriculture Professor) TAKEUCHI JIYUNICHIROU (Graduate School of Agriculture Associate Professor) |
|||
| Outline and Purpose of the Course |
Since hydraulic structures are generally designed based on design conditions derived from hydrological time series data, modeling of time series data is essential for designing the structures. This course focuses on time series analysis and nonlinear systems; Basic principles of hydrologic time series modeling and types of statistical models related to water resources engineering are presented in the first half of this course, and dealing with nonlinear data is practiced in the second half of this course. |
|||
| Course Goals |
Students will be able to: (1) understand basic principles of hydrologic time series modeling and types of statistical models related to water resources, (2) understand the fundamental terms and the behavior of nonlinear systems, and (3) understand the mathematical background of the time series analysis for nonlinear data, and practice these to actual data. |
|||
| Schedule and Contents |
1-7 Time series analysis (Stochastic processes, Hydrologic time series modeling, Data preparation, Methods of parameter estimation, Goodness of fit tests, Akaike's information criterion, Data generation and forecasting, Autoregressive modeling, Moving average process) 8-10 Nonlinear Dynamics of Differential Equation (Stability, Center manifold, Bifurcation) 11-14 Time Series Analysis for Nonlinear Data (Attractor reconstruction, Fractal dimension analysis, Lyapunov exponent, Recurrence plot, Surrogate data test) 15 Feedback |
|||
| Evaluation Methods and Policy |
Evaluation will be based on an overall assessment of attendance and reports. Refer to current year's 'Guide to Degree Programs' for attainment levels of evaluation |
|||
| Course Requirements | None | |||
| Study outside of Class (preparation and review) | Students are expected to go over handouts in advance. | |||
| Textbooks | Textbooks/References | Handouts are given in the course. | ||
| References, etc. | WATER RESOURCES SYSTEMS ANALYSIS, Mohammad Karamouz, Ferenc Szidarovszky, Banafsheh Zahraie, (LEWIS PUBLISHERS), ISBN:1-56670-642-4 | |||
