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FAST ALGORITHM FOR EXTRACTING THE DIAGONAL OF THE INVERSE MATRIX WITH APPLICATION TO THE ELECTRONIC STRUCTURE ANALYSIS OF METALLIC SYSTEMS
Diagonal extraction hierarchical Schur complement electronic structure calculation
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2015/7/14
We propose an algorithm for extracting the diagonal of the inverse matrices arising from electronic structure calculation. The proposed algorithm uses a hierarchical decomposition ofthe computational ...
A FAST ALGORITHM FOR REITERATED HOMOGENIZATION
Reiterated homogenization upscaling effective coefficients homogenization map fast algorithms adaptive sampling
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2015/7/14
This paper considers the numerical evaluation of effective coefficients for multiscale homogenization problems and proposes a highly efficient algorithm for a certain class of reiterated homogenizatio...
A fast algorithm for 3D azimuthally anisotropic velocity scan
3D Velocity analysis Anisotropic parameter
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2015/7/14
The conventional velocity scan can be computationally expensive for large-scale seismic data sets, particularly when the presence of anisotropy requires multiparameter scanning. We introduce a fast al...
A FAST ALGORITHM FOR THE ENERGY SPACE BOSON BOLTZMANN COLLISION OPERATOR
Quantum Boltzmann equation energy space boson Boltzmann equation recursive domain decomposition double convolution fast Fourier transform
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2015/7/14
This paper introduces a fast algorithm for the energy space boson Boltzmann collision operator. Compared to the direct O(N3) calculation and the previous O(N2 log N) method [Markowich and Pareschi, 20...