Publikationen und Vorträge

• Dynamical approximation of Hierarchical Tucker and Tensor-Train tensors
  with C. Lubich, R. Schneider, B. Vandereycken, accepted for publication in SIAM Journal on Matrix Analysis and Applications (SIMAX), 2012.

• Local convergence of alternating schemes for optimisation of convex problems in the TT format
  with A. Uschmajew, accepted for publication in SIAM Journal on Numerical Analysis (SINUM), 2012.

• Tensor methods in quantum chemistry,
  with Ö. Legeza, R. Schneider, Full entry in the Encyclopedia of Applied and Computational Mathematics (ed.: C. LeBris), to appear.

• Coupled Cluster methods in quantum chemistry,
  with R. Schneider, Full entry in the Encyclopedia of Applied and Computational Mathematics (ed.: C. LeBris), to appear.

• Error estimates for the Coupled Cluster method
  with R. Schneider, to appear in ESAIM: Mathematical Modelling and Numerical Analysis (M2AN), 2011.

• The continuous Coupled Cluster formulation for the electronic Schrödinger equation
  to appear in ESAIM: Mathematical Modelling and Numerical Analysis (M2AN), 2012.

• The alternating linear scheme for tensor optimisation in the TT format
  with S. Holtz and R. Schneider, SIAM J. Sci. Comput. (SISC) 34, pp. A683-A713.

• On manifolds of tensors of fixed TT rank
  with S. Holtz and R. Schneider, Num. Math., Volume 120, 4, pp 701-731, 2012.

• Variational calculus with sums of elementary tensors of fixed rank
  with M. Espig, W. Hackbusch, R. Schneider, Num. Math, 2012, DOI 10.1007/s00211-012-0464-x

• An analysis of the DIIS acceleration method used in quantum chemistry calculations
  with R. Schneider. Journal of Math. Chem., 49 (9), pp. 1889-1914, 2011.

• An analysis for some methods and algorithms of Quantum Chemistry
  PhD thesis (genehmigte Dissertation, Nov. 2010), Südwestdeutscher Verlag für Hochschulschriften, 2011.

• Adaptive methods in Quantum Chemistry
  with H.J. Flad, R. Schneider, Zeitschrift für Physikalische Chemie (International journal of research in physical chemistry and chemical physics)
  Vol. 224 3-4, pp. 651-670, 2010.

• Perturbed preconditioned inverse iteration for operator eigenvalue problems with applications to adaptive wavelet discretization
  with R. Schneider, A. Zeiser, , Adv. in Comp. Math., Volume 34 (1), Springer, 2011.

• Direct minimization for calculating invariant subspaces in density functional computations of the electronic structure
  with J. Blauert, A. Neelov, R. Schneider, J. Comp. Math., 27, pp. 360-387, 2009.

• Adaptive eigenvalue computation – Complexity estimates
  with W. Dahmen, R. Schneider, A. Zeiser
  Numerische Mathematik 110, pp. 277-312, 2008.

________________

Vorträge:

Vortrag “Goldener Schnitt und Fibonaccizahlen” anlässlich des Tages der Mathematik 2013 (gemeinsam mit Thomas Uhlemann, Vortragsfolien)

__________________

Talks at conferences and workshops (Selection):

• Sept. 2012 Max-Planck-Institute Dresden, Invited Speaker at Workshop “Entanglement-Based approaches in Quantum Chemistry”

• Jul. 2012 Berlin, Conference on Computational Methods in Applied Mathematics (CMAM)

• Jun. 2012 Valencia, SIAM Conference on Applied Linear Algebra

• Jun. 2012 Beijing, Invited Speaker at “Workshop on Mathematics and Numerical Analysis of Electronic Structure Models”

• Mar. 2012 Tokyo, ESF/JSPS conference “Mathematics for Innovation”

• Jan. 2012 MPI Leipzig, GAMM conference on Analysis and Numerics of High-dimensional problems

• Nov. 2011 Eisenach, DFG SPP 1324 annual meeting

• Jun. 2011 Math. Forschungszentrum Oberwolfach, Workshop on mathematical methods in quantum chemistry

• Nov. 2010 Eisenach, DFG SPP 1324 annual meeting

• Jan. 2010 Universidad de Concepcion, Chile, WONAPDE 2010

• Nov. 2009 FU Berlin, DFG SPP 1324 annual meeting

• Aug. 2009 Math. Forschungszentrum Oberwolfach, Workshop on linear and nonlinear eigenvalue problems

• Jun. 2009 Brunel University, Uxbridge, London, MAFELAP 2009

• Feb. 2009 University Gdansk, GAMM annual meeting

• Aug. 2008 ETH Zürich, Summer School “Advanced numerical methods for eigenvalue problems”

• Jul. 2008 TU Berlin, Workshop “Numerical methods in Density Functional Theory”