Sökning: "Ken Mattsson"
Visar resultat 1 - 5 av 7 avhandlingar innehållade orden Ken Mattsson.
1. Summation-by-Parts Operators for High Order Finite Difference Methods
Sammanfattning : High order accurate finite difference methods for hyperbolic and parabolic initial boundary value problems (IBVPs) are considered. Particular focus is on time dependent wave propagating problems in complex domains. Typical applications are acoustic and electromagnetic wave propagation and fluid dynamics. LÄS MER
2. Efficient Simulation of Wave Phenomena
Sammanfattning : Wave phenomena appear in many fields of science such as acoustics, geophysics, and quantum mechanics. They can often be described by partial differential equations (PDEs). As PDEs typically are too difficult to solve by hand, the only option is to compute approximate solutions by implementing numerical methods on computers. LÄS MER
3. Perfectly Matched Layers and High Order Difference Methods for Wave Equations
Sammanfattning : The perfectly matched layer (PML) is a novel technique to simulate the absorption of waves in unbounded domains. The underlying equations are often a system of second order hyperbolic partial differential equations. In the numerical treatment, second order systems are often rewritten and solved as first order systems. LÄS MER
4. Finite Difference Methods for Time-Dependent Wave Propagation Problems
Sammanfattning : Wave propagation models are essential in many fields of physics, such as acoustics, electromagnetics, and quantum mechanics. Mathematically, waves can be described by partial differential equations (PDEs). In most cases, exact solutions to wave-dominated PDEs are nearly impossible to derive. LÄS MER
5. Summation-by-Parts Finite Difference Methods for Wave Propagation and Earthquake Modeling
Sammanfattning : Waves manifest in many areas of physics, ranging from large-scale seismic waves in geophysics down to particle descriptions in quantum physics. Wave propagation may often be described mathematically by partial differential equations (PDE). Unfortunately, analytical solutions to PDEs are in many cases notoriously difficult to obtain. LÄS MER