Parallel adaptive wavelet analysis

Parallel adaptive wavelet analysis

Adapted wavelet analysis in the sense of wavelet packet algorithms is a highly relevant procedure in different types of applications, like, e.g. data compression, feature extraction, classification problems, data analysis, numerical mathematics, etc. Given a large or high-dimensional data set the computational demand is too high for interactive or “nearly-interactive” processing. Therefore, par...

Parallel adaptive wavelet collocation method for PDEs

a r t i c l e i n f o a b s t r a c t Dynamic load balancing Wavelets Lifting scheme Second generation wavelets Adaptive grid Multiresolution Multilevel method Multigrid method Numerical method Partial differential equations Elliptic problem A parallel adaptive wavelet collocation method for solving a large class of Partial Differential Equations is presented. The parallelization is achieved by...

Parallel Automatic Adaptive Analysis

Consideration is given to the techniques required to support adaptive analysis of automatically generated unstructured meshes on distributed memory MIMD parallel computers. Emphasis is placed on the structures needed to support effective parallel computations when the numerical discretization, the mesh, is defined and evolves during the computation. The key base structures are a distributed mes...

Adaptive Parallel Wavelet Method for the Neutron Transport Equations

The numerical solution of the time-dependent neutron transport problem in 2-D Cartesian geometry is considered. The problem is described by a coupled system of hyperbolic partial differential equations with the parameters of multiple groups. The system, for given group parameter, is discretized by a discrete ordinate method (SN) in angular direction and adaptive spline wavelet method with alter...

Parallel adaptive 3-D wavelet analysis for fast and efficient video coding