Sökning: "hyperbolic systems"
Visar resultat 1 - 5 av 36 avhandlingar innehållade orden hyperbolic systems.
1. Dynamics of Smooth Hyperbolic Systems with Singularities
Sammanfattning : This thesis is about dynamics of piecewise hyperbolic maps on bounded sets in the plane and on the interval. It is based on the following papers: T. Persson, A piecewise hyperbolic map with absolutely continuous invariant measure, Dynamical Systems: An International Journal, 21:3 (2006), 363--378 T. LÄS MER
2. Spatial analysis and modeling of urban transportation networks
Sammanfattning : Transport systems in general, and urban transportation systems in particular, are the backbone of a country or a city, therefore play an intrinsic role in the socio-economic development. There have been numerous studies on real transportation systems from multiple fileds, including geography, urban planning, and engineering. LÄS MER
3. Reconstruction Techniques and Finite Volume Schemes for Hyperbolic Conservation Laws
Sammanfattning : This thesis concerns the numerical approximation of the solutions to hyperbolic conservation laws. In particular the research work focuses on reconstruction techniques; the reconstruction being the key ingredient in modern finite volume schemes aiming to increase spatial order of accuracy. LÄS MER
4. Finite Volume Methods on Quadrilateral and Moving Meshes
Sammanfattning : The topic of this thesis is the study of finite volume methods for hyperbolic conservation laws on non-uniform meshes. A high-order hyperbolic reconstruction method is presented. The method is constructed for quadrilateral meshes, since more realistic hyperbolic problems involve more complicated problem domains than the standard rectangular ones. LÄS MER
5. Stable iterated function systems
Sammanfattning : The purpose of this thesis is to generalize the growing theory of iterated function systems (IFSs). Earlier, hyperbolic IFSs with finitely many functions have been studied extensively. Also, hyperbolic IFSs with infinitely many functions have been studied. In this thesis, more general IFSs are studied. LÄS MER