Publikationen von Harald Hofstätter

Referierte Publikationen

  • W. Auzinger, H. Hofstätter, O. Koch, Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations, submitted.

  • W. Auzinger, H. Hofstätter, O. Koch, M. Quell, M. Thalhammer, A posteriori error estimation for Magnus-type integrators, submitted.

  • H. Hofstätter, O. Koch, Non-satisfiability of a positivity condition for commutator-free exponential integrators of order higher than four, submitted.

  • S. Donsa, H. Hofstätter, O. Koch, J. Burgdörfer, I. Brezinova, Long-time expansion of a Bose-Einstein condensate: The observability of Anderson localization, to appear in Phys. Rev. A.

  • W. Auzinger, I. Brezinova-Hunger, H. Hofstätter, O. Koch, M. Quell, Practical Splitting Methods for the Adaptive Integration of Nonlinear Evolution Equations. Part II: Comparisons of Local Error Estimation and Step-Selection Strategies, submitted.

  • W. Auzinger, H. Hofstätter, O. Koch, Symbolic Manipulation of Flows of Nonlinear Evolution Equations, with Application in the Analysis of Split-Step Time Integrators, Proceedings of CASC 2016, Lecture Notes in Computer Science 9890, pp. 43-57.

  • W. Auzinger, W. Herfort, H. Hofstätter, O. Koch, Setup of Order Conditions for Splitting Methods, Proceedings of CASC 2016, Lecture Notes in Computer Science 9890, pp 30-42.

  • W. Auzinger, H. Hofstätter, D. Ketcheson, O. Koch, Practical Splitting Methods for the Adaptive Integration of Nonlinear Evolution Equations. Part I: Construction of Optimized Schemes and Pairs of Schemes, BIT Numer. Math. 57 (2017), pp. 55-74.

  • W. Auzinger, H. Hofstätter, O. Koch, M. Thalhammer, Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III. The nonlinear case, J. Comput. and Appl. Math. 273 (2015), pp. 182-204.

  • H. Hofstätter, O. Koch, M. Thalhammer, Convergence analysis of high-order time-splitting pseudo-spectral methods for rotational Gross-Pitaevskii equations, Numer. Math. 127(2014), pp. 315-364.

  • H. Hofstätter, O. Koch, An Approximate Eigensolver for Self-Consistent Field Calculations, Numer. Algorithms 66 (2014), pp. 609-641.

  • P. Blaha, H. Hofstätter, O. Koch, R. Laskowsky, K. Schwarz, Iterative Diagonalization in APW Based Methods in Electronic Structure Calculations, J. Comput. Phys. 229(2010), pp. 453-460.

  • H. Hofstätter, O. Koch, Analysis of a Defect Correction Method for Geometric Integrators, Numer. Algorithms 41(2006), pp. 103-126.

  • W. Auzinger, H. Hofstätter, W. Kreuzer, E. B. Weinmüller, Modified Defect Correction Algorithms for ODEs. Part II: Stiff Initial Value Problems, Numer. Algorithms 40(2005), pp. 285-303.

  • W. Auzinger, H. Hofstätter, W. Kreuzer, E. B. Weinmüller, Modified Defect Correction Algorithms for ODEs. Part I: General Theory, Numer. Algorithms 36(2004), pp. 135-155.

    Andere Publikationen

  • H. Hofstätter, O. Koch, Convergence Proof for Iterated Splitting Defect Correction, Technical Report AURORA TR2004-05, Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria, 2004.

  • W. Auzinger, H. Hofstätter, O. Koch, W. Kreuzer, E. B. Weinmüller, Superconvergent Defect Correction Algorithms, WSEAS Transactions on Systems, 4(2004), pp. 1378-1383.

  • H. Hofstätter, O. Koch, Defect Correction for Geometric Integrators, Proceedings of Aplimat 2004, pp. 465-470.

  • H. Hofstätter, O. Koch, Splitting Defect Correction, Technical Report AURORA TR2003-23, Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Austria, 2003.

  • H. Hofstätter, Defektkorrektur zur numerischen Lösung steifer Anfangswertprobleme, Dissertation, Technische Universität Wien, 2000.