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Publications

Reinhold Schneider: List of publications since 2003 (to the ePrints)

  1. Reinhold Schneider, Thorsten Rohwedder, Johannes Blauert Direct minimization for calculating invariant subspaces in density functional computations of the electronic structure, Journal of Comp. Math. (2009), 27, 360.
  2. J. Sielk, H.F. von Horsten, Fritz Krüger, Reinhold Schneider, B. Hartke: Quantum-mechanical wavepacket propagation in a sparse, adaptive basis of interpolating Gaussians with collocation, Physical Chemistry Chemical Physics 11 (2009) no.3, 463-475.
  3. Heinz-Jürgen Flad, Wolfgang Hackbusch, Boris Khoromski and Reinhold Schneider: Concepts of Data-Sparse Tensor-Product Approximation in Many-Particle Modelling, Matrix Methods: Theory, Algorithms and Applications: Dedicated to the Memory of Gene Golub (2009), World Scientific.
  4. Luigi Genovese, Alexey Neelov, Stefan Goedecker, Thierry Deutsch, Seyed Alireza Ghasemi, Alexander Willand, Damien Caliste, Oded Zilberberg, Mark Rayson, Anders Bergman, Reinhold Schneider: Daubechies wavelets as a basis set for density functional pseudopotential calculations, J. Chem. Phys. 129, 014109 (2008).
  5. Helmut Harbrecht, Reinhold Schneider and Christoph Schwab. Multilevel frames for sparse tensor product spaces. Numer. Math. 110 (2008), no. 2, 199–220.
  6. Helmut Harbrecht, Reinhold Schneider, Christoph Schwab: Sparse second moment analysis for elliptic problems in stochastic domains, Numer. Math. 109 (2008), no. 3, 385–414.
  7. Heinz-Jürgen Flad, W Reinhold Schneider and B. W. Schulze: Asymptotic regularity of solutions to Hartree-Fock equations with Coulomb potential, Math. Methods Appl. Sci. 31 (2008), no. 18, 2172-2201.
  8. Wolfgang Dahmen, Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser: Adaptive eigenvalue computation : complexity estimates, Numer. Math. 110 (2008), no. 3, 277–312.
  9. Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser: Perturbed preconditioned inverse iteration for operator eigenvalue problems with application ot adaptive wavelet discretization. submitted to Advances in Comp. Math. (2008).
  10. Reinhold Schneider: Analysis of the projected coupled cluster method in electronic structure calculation (revised version), accepted at Numer. Math. (2009).
  11. Heinz-Jürgen Flad, Reinhold Schneider: s*-compressilibity of discrete Hartree-Fock equations, Preprint Nr. 2008-008, TU Berlin .
  12. Heinz-Jürgen Flad, Wolfgang Hackbusch, Reinhold Schneider: Best N-term approximation in electronic structure calculation II. Jastrow factors, M2AN Math. Model. Numer. Anal. 41 (2007), no. 2, 261 –279.
  13. Reinhold Schneider: Adaptive coupled cluster method and CI method for the solution of the electronic Schrödinger equation, Oberwolfach Reports 36 (2007), 2133-2136.
  14. Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider: Adaptive methods for boundary integral equations : complexity and convergence estimates, Math. Comp. 76 (2007), no. 259, 1243–1274.
  15. Karsten Eppler, Helmut Harbrecht, Reinhold Schneider: On convergence in elliptic shape optimization, SIAM J. Control Optim. 46 (2007), no. 1, 61–83.
  16. Arne Barinka, Wolfgang Dahmen, Reinhold Schneider: Fast computation of adaptive wavelet expansions, Numer. Math. 105 (2007), no. 4, 549–589.
  17. Reinhold Schneider, Toralf Weber: Multi-scale approximation schemes in electronic structure calculation, in Harmonic, wavelet and p-adic analysis Eds. N.M. Chuong et al. (2007) World Scientific, pp.59 –81.
  18. Michael Gnewuch, Rene Lindloh, Reinhold Schneider, Anand Srivastav: Cubature formulas for function spaces with moderate smoothness, J. Complexity 23 (2007), no. 4-6, 828–850.
  19. Helmut Harbrecht, Ulf Kähler, Reinhold Schneider: Wavelet matrix compression for boundary integral equations. Parallel algorithms and cluster computing, Lect. Notes Comput. Sci. Eng., 52, Springer, Berlin, 2006,129–149.
  20. Reinhold Schneider,Toralf Weber: Wavelets for density matrix computation in electronic structure calculation, Appl. Numer. Math. 56 (2006), no. 10-11, 1383–1396.
  21. Schneider, Reinhold; Xu, Yuesheng; Zhou, Aihui: An analysis of discontinuous Galerkin methods for elliptic problems, Adv. Comput. Math. 25 (2006), no. 1-3, 259–286.
  22. Heinz-Jürgen Flad, Wolfgang Hackbusch, Reinhold Schneider: Best N term approximation in electronic structure calculations. I. One-electron reduced density matrix., M2AN Math. Model. Numer. Anal. 40 (2006), p. 49–61.
  23. Helmut Harbrecht and Reinhold Schneider: Wavelet Galerkin schemes for boundary integral equations - implementation and quadrature, SIAM J. Sci. Comput. 27 (2006), No. 4, 1347-1370.
  24. Wolfgang Dahmen, Helmut Harbrecht, and Reinhold Schneider: Compression techniques for boundary integral equations - asymptotically optimal complexity estimates, SIAM J. Numer. Anal. 43, No. 6, 2251-2271 (2006).
  25. Reinhold Schneider, Christoph Schwab: Wavelet FEM for variable order pseudodifferential equations, submitted to Calcolo. Preprint Nr. 05-10, CAU Kiel (2005).
  26. Helmut Harbrecht, Ulf Kähler, and Reinhold Schneider: Wavelet Galerkin BEM on unstructured meshes, Comput. Visual. Sci. 8 (2005), no. 3-4, p.189 –199.
  27. Helmut Harbrecht, Ulf Kähler, Reinhold Schneider: Wavelet Matrix Compression for Boundary Integral Equations, PAMM (Proceedings of the GAMM Conference 2005), 5:767-768 (2005).
  28. Helmut Harbrecht, Reinhold Schneider: Wavelet based fast solution of boundary integral equations, in Abstract and Applied Analysis (Proceedings of the International Conference in Hanoi, 2002), edited by N.M. Chuong et al., World Scientific Publishing Company (2004), 139-162.
  29. Helmut Harbrecht, Reinhold Schneider: Biorthogonal wavelet bases for the boundary element method. Math. Nachr. 269/270 (2004), 167–188.
  30. Beuchler, S.; Schneider, R.; Schwab, C.: Multiresolution weighted norm equivalences and applications. Numer. Math. 98 (2004), no. 1, 67–97.
  31. H. Harbrecht, M. Konik, R. Schneider: Fully Discrete Wavelet Galerkin Schemes, Engineering Analysis with Boundary Elements 28, (2004).
  32. M. Randrianarivony, G. Brunnett, R. Schneider: Constructing a diffeomorphism between a trimmed domain and the unit square, December 2003. Preprint SFB393 TU Chemnitz 2003.
  33. Helmut Harbrecht and Reinhold Schneider: Adaptive Wavelet Galerkin BEM, in Computational Fluid and Solid Mechanics 2003, Vol. 2, edited by K.J. Bathe, Elsevier, 1982-1986 (2003).
  34. Gabriel N. Gatica, Helmut Harbrecht, Reinhold Schneider: Least squares methods for the coupling of FEM and BEM. SIAM J. Numer. Anal. 41 (2003), no. 5, 1974–1995.
  35. Helmut Harbrecht, Sergej Pereverzev, Reinhold Schneider: Self-regularization by projection for noisy pseudodifferential equations of negative order. Numer. Math. 95 (2003), no. 1, 123–143.
  36. Helmut Harbrecht, Cristian Perez, Freddy Paiva, Reinhold Schneider: Multiscale preconditioning for the coupling of FEM-BEM, Numerical Linear Algebra with Applications 10 (2003), no. 3, 197–222.
  37. Andreas Rathsfeld, Reinhold Schneider: On a quadrature algorithm for the piecewise linear collocation applied to boundary integral equations, Math. Meth. Appl. Sci. 26 (2003), no. 11, 937–979.

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