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Open courseware on water

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Water Resource Systems

Offered by: MIT: Massachusetts Institute of Technology
Type: Tutorial
Keywords: Water resources analysis, optimization, economic aspects

Description of open courseware

This subject is concerned with quantitative methods for analyzing large-scale water resource problems. Topics covered include the design and management of facilities for river basin development, flood control, water supply, groundwater remediation, and other activities related to water resources. Simulation models and optimization methods are often used to support analyses of water resource problems. In this subject we will be constructing simulation models with the MATLAB programming language and solving numerical optimization problems with the GAMS optimization package.
The course consists of the following topics:
Introduction, Optimization Concepts
1. Introduction
2. Linear Algebra Review
3. General Optimization Concepts
4. General Optimization Concepts (cont.)
5. Optimality Conditions
6. Optimality Conditions (cont.)

Optimization Methods
7. Linear Programming Overview
8. Duality, Linear Programming Solution Strategies
9. Linear Programming Sensitivity Analysis
10. Quadratic Programming
11. Differential Constraints
12. Nonlinear Programming Algorithms
13. Nonlinear Programming Algorithms (cont.)

Economic Aspects
14. Optimization over Time, Discounting
15. Multiobjective Optimization, Utility, Risk Aversion
16. Supply and Demand, Groundwater Management

Water Resource Applications/Case Studies
17. River Basin Planning - Screening
18. River Basin Planning - Simulation
19. Real-time Optimization, Dynamic Programming
20. Real-time Optimization, Dynamic Programming (cont.)
21. Capacity Expansion
22. Common Pool Problems
23. Variational and Adjoint Methods, Data Assimilation
24. Review
25. Project Presentations
26. Project Presentations (cont.)
Source of text, figures and link: MIT website

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