OFDM transmissions over rapidly changing channels

This thesis is dedicated to efficiently estimate and equalize time-varying channels in OFDM and single-carrier systems.

Fast deflation methods with applications to two-phase flows

Theoretical and numerical comparison of various projection methods derived from deflation, domain decomposition and multigrid methods

Deflated ICCG Method solving the Singular and Discontinuous Diffusion Equation derived from 3-D Multi-Phase Flows

Simulating bubbly flows is a very popular topic in CFD. These bubbly flows are governed by the Navier-Stokes equations. In many popular operator splitting formulations for these equations, solving the linear system coming from the discontinuous diffusion equation takes the most computational time, despite of its elliptic origins. Sometimes these...

Hopcount in the NICE Application Layer Multicast Protocol

An Efficient Deflation Method applied on 2-D and 3-D Bubbly Flow Problems

Simulating bubbly flows is a very popular topic in CFD. These bubbly flows are governed by the Navier-Stokes equations. In many popular operator splitting formulations for these equations, solving the linear system coming from the discontinuous Poisson equation takes the most computational time, despite of its elliptic nature. ICCG is widely...

New variants of deflation techniques for bubbly flow problems

For various applications, it is well-known that deflated ICCG is an efficient method for solving linear systems with invertible and singular co-efficient matrix. This deflated ICCG with subdomain deflation vectors is used by us to solve linear systems with singular coefficient matrix, arising from a discretization of the Poisson equation with...

Efficient methods for solving advection diffusion reaction equations: Literature study

Parallel deflated CG methods applied to linear systems from moving boundary problems

In this report we give a short overview of aspects on parallel deflated conjugate gradient method which is applied on large, sparse, symmetric and semi-positive definite linear systems obtained from moving boundary problems. Moreover, we present some results of small numerical experiments. After introducing the Navier-Stokes equations for...

On the theory of deflation and singular symmetric positive semi-definite matrices

In this report we give new insights into the properties of invertible and singular deflated and preconditioned linear systems where the coefficient matrices are also symmetric and positive (semi-) definite. First we prove that the invertible de ated matrix has always a more favorable effeective condition number compared to the original matrix....

Weight of the Shortest Path to the First Encountered Peer in a Peer Group of Size m

We model the weight (e.g. delay, distance or cost) from an arbitrary node to the nearest (in weight) peer in a peer-to-peer (P2P) network. The exact probability generating function and an asymptotic analysis is presented for a random graph with i.i.d. exponential link weights. The asymptotic distribution function is a Fermi-Dirac distribution...