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A Polynomial Eigenproblem Approach for General Joint Block Diagonalization
general joint block diagonalization polynomial eigenproblem
2014/9/26
oint Block Diagonalization (JBD) of a given Hermitian matrix set A=fAi
g
p
i=0
is to nd
a nonsingular matrixWsuch that W
H
AiWfor i = 0;1;:::;pare all block diagonal matrices
with the same pr...
Semiclassical approach to fidelity amplitude
fidelity amplitude semiclassical theory chaotic systems Lyapunov decay
2011/7/6
The fidelity amplitude is a quantity which is of paramount importance in echo type experiments. We use semiclassical theory to study the average fidelity amplitude for quantum chaotic systems under ex...
Emergence and Stability of Vortex Clusters in Bose-Einstein Condensates: a Bifurcation Approach near the Linear Limit
Bose-Einstein condensates Vortices Dark solitons Bifurcations
2010/12/28
We study the existence and stability properties of clusters of alternating charge vortices in Bose-Einstein condensates. It is illustrated that such states emerge from cascades of symmetry-breaking bi...
Integrable Henon-Heiles Hamiltonians: a Poisson algebra approach
Integrable Henon-Heiles Hamiltonians Poisson algebra approach
2010/11/19
The three integrable two-dimensional Henon-Heiles systems and their integrable perturbations are revisited. A family of new integrable perturbations is found, and N-dimensional completely integrable ...
A mapping function approach applied to some classes of nonlinear equations
mapping function nonlinear equations
2010/4/2
In this work, we study some models of scalar fields in 1+1 dimensions with non-linear self-interactions. Here, we show how it is possible to extend the solutions recently reported in the literature fo...
A Multi-mesh Adaptive Level Set Approach for Incompressible Two-Phase Flow
level set method multi-mesh adaptive finite element method reinitializa- tion
2015/5/6
In this paper, we propose a multi-mesh h-adaptive method to solve the level set model of incompressible two-phase flow. In the method, we approximate the flow variables and the level set function on t...
Optimal Control of Problems Governed by Obstacle Type Variational Inequalities：A Dual Regularization-Penalization Approach
Variational Inequalities Optimal Control Dual Methods Penalization Methods
2009/1/23
In this paper we investigate optimal control problems governed by variational inequalities. We give optimality conditions under classical assumptions using a dual regularized functional to interpret t...