Extended gradient method for fully non-linear head and flow analysis in pipe networks
Integrated computer applications in water supply (vol. 1)
The Runge-Kutta discontinuous Galerkin method for conservation laws V multidimensional systems
Journal of Computational Physics
Journal of Computational Physics
Efficient solution of fluid-structure vibration problems
Applied Numerical Mathematics
Fuzzy Rule-Based Modeling with Applications to Geophysical, Biological, and Engineering Systems
Fuzzy Rule-Based Modeling with Applications to Geophysical, Biological, and Engineering Systems
A Fuzzy Neural Network Approach to Classification Based on Proximity Characteristics of Patterns
ICTAI '97 Proceedings of the 9th International Conference on Tools with Artificial Intelligence
Mathematical modelling of hydraulic transients in complex systems
Mathematical and Computer Modelling: An International Journal
Relaxation schemes for the calculation of two-phase flow in pipes
Mathematical and Computer Modelling: An International Journal
Suspension flows in a pipeline with partial phase separation
Mathematical and Computer Modelling: An International Journal
Mathematical modelling of hydraulic transients in simple systems
Mathematical and Computer Modelling: An International Journal
Particle Swarm Optimization applied to the design of water supply systems
Computers & Mathematics with Applications
Optimization in water systems: a PSO approach
Proceedings of the 2008 Spring simulation multiconference
Applying the equivalent pi circuit to the modeling of hydraulic pressurized lines
Mathematics and Computers in Simulation
Engineering Applications of Artificial Intelligence
Tuning metaheuristics: A data mining based approach for particle swarm optimization
Expert Systems with Applications: An International Journal
Sensitivity analysis to assess the relative importance of pipes in water distribution networks
Mathematical and Computer Modelling: An International Journal
Fault detection in water supply systems using hybrid (theory and data-driven) modelling
Mathematical and Computer Modelling: An International Journal
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The study field of water comprises a large variety of activities and interests, and therefore, areas of work. These areas face real engineering problems and, as a consequence, the contributions by some techniques from applied mathematics are really important. On the one hand, it is necessary to have analysis tools that allow us to carry out reliable simulations of the different models by analyzing different configurations, operation modes, load conditions, etc., in order to study existing installations from their basic characteristic data. They are determinist processes whose mathematical expressions consist of coupled systems of different types of equations, algebraic, ordinary differential, and partial differential equations, typically nonlinear, for which specific numerical techniques are necessary. In addition, given the uncertainty of many of the data (especially in existing configurations), it is frequently necessary to solve important inverse problems where other techniques (statistical, minimum quadratic, etc.) are also highly interesting. On the other hand, design is necessary in order to carry out new configurations. Frequently, the absence of initial data and the need of fulfilling different types of restrictions (some of them prone to subjectivity) turn design processes into real optimization problems where the classical methods frequently fail and for which the most current techniques based on neural networks, genetic algorithms, fuzzy theory, chaos theory, etc. are indispensable. This document describes the most important mathematical aspects needed in some of the stages of the integral cycle of water, with special emphasis on the most current topics.