Numerical mathematics, approximation to nonlocal operators and integral equations, analysis of high-dimensional data, quantum chemistry

• Applicants: Privatdozent Dr. Boris N. Khoromskij; Professor Dr. Reinhold Schneider
• Subject Area: Mathematics
• Term: from 2005 to 2008
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 5455261

• Final Report Year: 2008

Final Report Abstract

No abstract available

Publications

• Intertwining multiresolution analysis and the construction of piecewise-polynomial wavelets, SIAM J. Math. Anal. 27, 1996, pp. 1791-1815
  G.G. Donovan, J.S. Geronimo and D.P. Hardin
  
• Best N-term approximation in electronic structure calculation. 11. Jastrow factors, ESAIM: M2AN, 41, 2007, pp. 261-279
  H.-J. Flad, W. Hackbusch and R. Schneider
  
• Best N-term approximation in electronic structure calculation. I. One-electron reduced density matrix, ESAIM: M2AN, 40, 2006, pp. 49-61
  H.-J. Flad, W. Hackbusch and R. Schneider
  
• Adaptive coupled cluster method and CI method for the solution of the electronic Schrodinger equation, Oberwolfach Reports 36 (2007), 2133-2136
  R. Schneider
  
• Concepts of data-sparse tensorproduct approximation in many-particle modelling, International Conference on Matrix Methods and Operator Equations, Moscow 2007, Conference procceeding
  H.-J. Flad, W. Hackbusch, B. N. Khoromskij and R. Schneider
  
• Low Rank Tucker Tensor Approximation to the Classical Potentials, Cent. Eur. J. Math., 5, 2007, pp. 1-28
  B. N. Khoromskij and V. Khoromskaia
  
• Perturbative calculation of Jastrow factors: Accurate description of short-range correlations, Phys. Rev. B 75, (2007) 125111, 10 pages
  H. Luo, D. Kolb, H.-J. Flad, and W. Hackbusch
  
• Tensor product approximation with optimal rank in quantum chemistry, J. Chem. Phys., 127 (2007), 084110 (14 pages)
  S. R. Chinnamsetty, M. Espig, W. Hackbusch, B. N. Khoromskij and H.-J. Flad