Sökning: "Beräkningsvetenskap med inriktning mot numerisk analys"
Visar resultat 6 - 10 av 41 avhandlingar innehållade orden Beräkningsvetenskap med inriktning mot numerisk analys.
6. A vertex-centered discontinuous Galerkin method for flow problems
Sammanfattning : The understanding of flow problems, and finding their solution, has been important for most of human history, from the design of aqueducts to boats and airplanes. The use of physical miniature models and wind tunnels were, and still are, useful tools for design, but with the development of computers, an increasingly large part of the design process is assisted by computational fluid dynamics (CFD). LÄS MER
7. Matrix-Less Methods for Computing Eigenvalues of Large Structured Matrices
Sammanfattning : When modeling natural phenomena with linear partial differential equations, the discretized system of equations is in general represented by a matrix. To solve or analyze these systems, we are often interested in the spectral behavior of these matrices. LÄS MER
8. Multiscale Methods and Uncertainty Quantification
Sammanfattning : In this thesis we consider two great challenges in computer simulations of partial differential equations: multiscale data, varying over multiple scales in space and time, and data uncertainty, due to lack of or inexact measurements.We develop a multiscale method based on a coarse scale correction, using localized fine scale computations. LÄS MER
9. On discontinuous Galerkin multiscale methods
Sammanfattning : In this thesis a new multiscale method, the discontinuous Galerkin multiscale method, is proposed. The method uses localized fine scale computations to correct a global coarse scale equation and thereby takes the fine scale features into account. LÄS MER
10. Stable Numerical Methods with Boundary and Interface Treatment for Applications in Aerodynamics
Sammanfattning : In numerical simulations, problems stemming from aerodynamics pose many challenges for the method used. Some of these are addressed in this thesis, such as the fluid interacting with objects, the presence of shocks, and various types of boundary conditions. LÄS MER