Sökning: "Scientific Computing with specialization in Numerical Analysis"
Visar resultat 16 - 20 av 40 avhandlingar innehållade orden Scientific Computing with specialization in Numerical Analysis.
16. Weak Boundary and Interface Procedures for Wave and Flow Problems
Sammanfattning : In this thesis, we have analyzed the accuracy and stability aspects of weak boundary and interface conditions (WBCs) for high order finite difference methods on Summations-By-Parts (SBP) form. The numerical technique has been applied to wave propagation and flow problems. LÄS MER
17. 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
18. Stochastic Simulation of Reaction-Diffusion Processes
Sammanfattning : Numerical simulation methods have become an important tool in the study of chemical reaction networks in living cells. Many systems can, with high accuracy, be modeled by deterministic ordinary differential equations, but other systems require a more detailed level of modeling. LÄS MER
19. Perfectly matched layers for second order wave equations
Sammanfattning : Numerical simulation of propagating waves in unbounded spatial domains is a challenge common to many branches of engineering and applied mathematics. Perfectly matched layers (PML) are a novel technique for simulating the absorption of waves in open domains. LÄS MER
20. 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