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The Computation of Invariant Fields and a Constructive Version of a Theorem by Rosenlicht
      
Efficient computation of Fourier transforms on compact groups
      
This article genralizes the fast Fourier transform algorithm to the computation of Fourier transforms on compact Lie groups.
      
The basic technique uses factorization of group elements and Gel'fand-Tsetlin bases to simplify the computations, and may be extended to treat the computation of Fourier transforms of finitely supported distributions on the group.
      
Estimates, decay properties, and computation of the dual function for Gabor frames
      
In this paper we introduce new techniques for the efficient computation of a Fourier transform on a finite group.
      
Characterization and Computation of Canonical Tight Windows for Gabor Frames
      
Furthermore, we derive an explicit formula for the computation of the dual window functions and determine their decay rates.
      
The corresponding sampling problem is the computation of Fourier coefficients of a function from sampled values at scattered nodes.
      
We discuss an implementation of an efficient algorithm for the numerical computation of Fourier transforms of bandlimited functions defined on the rotation group SO(3).
      
Our implementation is based on the "Separation of Variables" technique (see, e.g., Maslen and Rockmore, Proceedings of the DIMACS Workshop on Groups and Computation, pp.
      
In conjunction with techniques developed for the efficient computation of orthogonal polynomial expansions (Driscoll et al., SIAM J.
      
In this paper, by using the theory of semigroup and spectrum, a computation formula on the growth order of one class ofC0-semigroups in Banach space is proved.
      
The computation of symmetry-breaking bifurcation points inZ2×Z2-symmetric nonlinear problems
      
So the computation work of (ATD2A)-1 is decreased.
      
Actual computation shows that the estimates so obtained are rather robust.
      
The numerical computation of symmetry-Breaking takens-Bogdanov points
      
Numerical computation shows the effectiveness of splitting iteration method.
      
E mesh parameter h, two choices for artifical diffusion parameter δ are presented, and for the corresponding computation schemes the stability and error estimates in suitable norms are estabilished.
      
Travelling wave solutions of nonlinear evolution equations by using symbolic computation
      
 

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