Sökning: "numerisk analys"
Visar resultat 1 - 5 av 443 avhandlingar innehållade orden numerisk analys.
1. Accurate quadrature and fast summation in boundary integral methods for Stokes flow
Sammanfattning : This thesis concerns accurate and efficient numerical methods for the simulation of fluid flow on the microscale, known as Stokes flow or creeping flow. Such flows are important, for example, in understanding the swimming of microorganisms, spreading of dust particles, as well as in developing new nano-materials, and microfluidic devices that can be used for on-the-fly analysis of blood samples, among other things. LÄS MER
2. Numerical Approximation of Reaction and Diffusion Systems in Complex Cell Geometry
Sammanfattning : The mathematical modelling of the reaction and diffusion mechanism of lipophilic toxic compounds in the mammalian cell is a challenging task because of its considerable complexity and variation in the architecture of the cell. The heterogeneity of the cell regarding the enzyme distribution participating in the bio-transformation, makes the modelling even more difficult. LÄS MER
3. Coarse Graining Monte Carlo Methods for Wireless Channels and Stochastic Differential Equations
Sammanfattning : This thesis consists of two papers considering different aspects of stochastic process modelling and the minimisation of computational cost. In the first paper, we analyse statistical signal properties and develop a Gaussian pro- cess model for scenarios with a moving receiver in a scattering environment, as in Clarke’s model, with the generalisation that noise is introduced through scatterers randomly flip- ping on and off as a function of time. LÄS MER
4. Multi-scale methods for wave propagation in heterogeneous media
Sammanfattning : Multi-scale wave propagation problems are computationally costly to solve by traditional techniques because the smallest scales must be represented over a domain determined by the largest scales of the problem. We have developed new numerical methods for multi-scale wave propagation in the framework of heterogeneous multi-scale methods. LÄS MER
5. High performance adaptive finite element methods for turbulent fluid flow
Sammanfattning : Understanding the mechanics of turbulent fluid flow is of key importance for industry and society as for example in aerodynamics and aero-acoustics. The massive computational cost for resolving all turbulent scales in a realistic problem makes direct numerical simulation of the underlying Navier-Stokes equations impossible. LÄS MER