Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 5 of 5 for “"Hyperbolic PDE"”.
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Numerical Methods for Parameter Estimation and Optimal Control of the Red River Network
… which consists of two nonlinear first-order hyperbolic Partial Differential Equations (PDE) in space and in time. In general a system of equations of this type can not be solved analytically. Therefore I choose a numerical approach, namely the Method Of Lines (MOL) combined with the Backward …
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Optimal and Feedback Control for Hyperbolic Conservation Laws
This dissertation studies hyperbolic partial differential equations for Conservation Laws motivated by traffic control problems. New traffic models for multi-directional flow in two dimensions are derived and their properties studied. Control models are proposed where the control variable is a …
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Transported snapshot model order reduction approach for parametric, steady-state fluid flows containing parameter dependent shocks
In this thesis, a new model order reduction approach is proposed for parametric steady-state nonlinear fluid flows characterized by shocks and discontinuities whose spatial locations and orientations are strongly parameter dependent. In this method, solutions in the predictive regime are …
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Large Time Step and Overlapping Grids for Conservation Laws
… Method for computing numerical solutions to hyperbolic systems of conservation laws. We also consider a method of overlapping spatial grids for which variants have proved to be an important consideration in large scale applications. In practice we often run into grids which have a fairly …
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Local Factorization of Multidimensional Differential Operators to Optimize Implicit Solution Methods
Solving multidimensional differential operators using implicit finite-difference methods involves a computationally intensive step of calculating the solution to a system that involves both the current and future state of the system. If a linear operator can be expressed as an affine combination of …