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.
Results
Showing 1 to 20 of 23 for “"hyperbolic partial differential equations"”.
-
Stable numerical methods for hyperbolic partial differential equations using overlapping domain decomposition
… for simplifying the discretizations of partial differential equations in or around complex geometries. While in wide use, the methods are prone to numerical instability unless numerical diffusion or some other form of regularization is used. This is especially true for higher-order …
-
A posteriori bounds for linear functional outputs of hyperbolic partial differential equations
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1997.
-
The Mixed Boundary Value Problem Along The Line of Parabolicity for a Certain Class of Hyperbolic Partial Differential Equations
Made available in DSpace on 2014-12-09T22:17:43Z (GMT). No. of bitstreams: 1 6808242.pdf: 1871058 bytes, checksum: c11037348b3e31404683906c904eee7b (MD5) Previous issue date: 1967
-
Theoretical Studies in Two-Phase Flow Prior to the Transition to Detonation in Granular Solid Propellants
… continuum. The resulting governing equations are solved by the method of finite differences. Details of two distinct numerical methods to solve these nonlinear, coupled hyperbolic partial differential equations simultaneously are also presented. In addition, artificial smearing …
-
New Models for Crowd Dynamics and Control
… laws such as the continuity and momentum equations are used. The first model uses a single hyperbolic partial differential equation with a velocity-density relationship, while the other three models are systems of hyperbolic partial differential equations. For one of the system models …
-
Análise de transientes hidráulicos em oleodutos
… transients relevant to oil pipelines. The hyperbolic partial differential equations which govern this phenomenum were transformed into ordinary differential equations via the method of characteristics. Using finite differences these ordinary differential equations are then transformed into …
-
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 …
-
On the convergence of higher-order finite element methods to weak solutions
… is essential when solving nonlinear hyperbolic partial differential equations (PDEs). Discrete solutions to the PDE must converge to weak solutions in order for the discontinuity propagation speed to be correct. As shown by the Lax-Wendroff theorem, one method to guarantee that …
-
An Extension of Essentially Non-Oscillatory Shock-Capturing Schemes to Multi-Dimensional Systems of Conservation Laws
… years, a class of numerical schemes for solving hyperbolic partial differential equations has been developed which generalizes the first-order method of Godunov to arbitrary order of accuracy. High-order accuracy is obtained, wherever the solution is smooth, by an essentially non-oscillatory …
-
Evacuation Distributed Feedback Control and Abstraction
… mass and momentum and are described by nonlinear hyperbolic partial differential equations. As such the system is distributed in nature. We address the design of feedback control for these models in a distributed setting where the problem of control and stability is formulated directly in the …
-
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 …
-
Superconvergence and A posteriori Error Estimation for the Discontinuous Galerkin Method Applied to Hyperbolic Problems on Triangular Meshes
… Galerkin (DG) methods for two-dimensional hyperbolic problems. We investigate the superconvergence properties of the DG method applied to scalar first-order hyperbolic partial differential equations on triangular meshes. We study the effect of finite element spaces on the superconvergence …
-
Analyses and Applications of the Peaceman--Rachford and Douglas--Rachford Splitting Schemes
… used as temporal discretizations of evolution equations. Such methods usually constitute competitive choices whenever a vector field can be split into a sum of two or more parts that each generates a flow easier to compute or approximate than the flow of the sum. In the research presented in …
-
Large eddy simulation of primary liquid-sheet breakup
… test cases for both linear and non-linear hyperbolic partial differential equations. The conservative level set method has been extended to unstructured meshes and its performance has been improved in terms of robustness and accuracy. This was achieved by solving the equations for the …
-
Scattering and stability properties of nonlinear wave equations on asymptotically flat spacetimes
… projects focused on the nonlinear behaviour of hyperbolic partial differential equations (PDEs) in asymptotically flat spacetimes. Each project focuses on the behaviour of solutions nearby special ones and are therefore part of a perturbative understanding of these PDEs. Furthermore, all …
-
Problems in cosmology and numerical relativity
… on and correcting previous results. We solve our equations for long wavelength limits and numerically integrate the resulting equations to generate power spectra for the electromagnetic field variables, showing where the modes cross the horizon. We find that the interaction can seed Electric …
-
Non-Equilibrium Thermodynamics of porous media filled by a fluid flow and of rigid bodies with an internal tensorial field influencing the thermal phenomena.
… relations, the temperature, and energy equations and the rate equations for the porosity field, its flux, the fluid-concentration flux, and the heat flux are derived to close the system of equations describing the media under consideration. In Chapter 2, the case of porous media …
Page 1 of 2