Journal ArticleDOI
Some algorithms for parameter estimation in water resources systems
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In this paper, the authors developed algorithms for the estimation of the unknown model parameters of some water resources systems, which are of recursive form and therefore are suitable for real-time estimation purposes.Abstract:
This paper is concerned with the development of algorithms for the estimation of the unknown model parameters of some water resources systems. The proposed algorithms are of recursive form and therefore are suitable for real-time estimation purposes. Proportional and proportional plus integral type algorithms are developed by using Lyapunov's stability theorem. This way, asymptotic convergence of the algorithms is guaranteed in the space of unknown parameters. The finite-element method is used to discretize the spatial domain of the distributed system. The method developed does not require prior knowledge of the unknown parameters and the system initial conditions. The numerical examples presented include the convection-diffusion equation and Burgers' equation.read more
Citations
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Inverse methods for subsurface flow: A critical review of stochastic techniques
Timothy R. Ginn,John H. Cushman +1 more
TL;DR: In this paper, the authors trace the evolution of the methods to date with a specific view toward identifying the most important issues involved in the usefulness of the approaches, and future directions for requisite study are discussed.
Journal ArticleDOI
A continuous‐time inverse operator for groundwater and contaminant transport modeling: Deterministic case
TL;DR: In this article, a new operator for inversion of the spatially discretized diffusion equation is introduced, which implicitly incorporates the continuous-time dependency of the flow model, and a simple numerical example from the literature is used to generate a set of simplified test cases, upon which the proposed method is tested.
Journal ArticleDOI
Composite Loss Rate Model Combining Four Losses of Precipitation in a Watershed for Engineering Hydrology
TL;DR: In this paper, a simple model that estimates precipitation losses not individually but by combining the loss components together was proposed, and a composite loss rate model was derived as a lumped form of a continuous time fu...
References
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Book
The finite element method in engineering science
TL;DR: In this paper, the authors describe how people search numerous times for their favorite books like this the finite element method in engineering science, but end up in malicious downloads, and instead they cope with some infectious bugs inside their computer.
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A mathematical model illustrating the theory of turbulence
TL;DR: In this article, the application of statistical analysis and statistical mechanics to the problem of turbulent fluid motion has attracted much attention in recent years, and the authors investigated a complicated system of nonlinear equations, in order to find out enough about the properties of the solutions of these equations that insight can be obtained into the various patterns exhibited by the field and that data can be derived concerning the relative frequencies of these patterns in the hope that in this way a basis may be found for the calculation of important values.
Journal ArticleDOI
On a quasi-linear parabolic equation occurring in aerodynamics
TL;DR: In this paper, the Navier-Stokes equations for one-dimensional non-stationary flow of a compressible viscous fluid are compared to the shock wave theory of a model of turbulence.
Journal ArticleDOI
Asymptotic behavior of the extended Kalman filter as a parameter estimator for linear systems
TL;DR: In this paper, a convergence analysis of the extended Kalman filter for nonlinear systems with unknown parameters is given, and it is shown that in general the estimates may be biased or divergent and the causes for this are displayed.
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