Publikationen von Harald Hofstätter

Referierte Publikationen

  • W. Auzinger, A.Grosz, H. Hofstätter, O. Koch, Adaptive Exponential Integrators for MCTDHF, Proceedings of LSSC 2019, Lecture Notes in Computer Science 11958, pp. 557-565.

  • W. Auzinger, H. Hofstätter, O. Koch, Non-existence of generalized splitting methods with positive coefficients of order higher than four, Appl. Math. Lett. 97(2019), pp. 48-52.

  • H. Hofstätter, W. Auzinger, O. Koch, An Algorithm for Computing Coefficients of Words in Expressions Involving Exponentials and its Application to the Construction of Exponential Integrators, Proceedings of CASC 2019, Lecture Notes in Computer Science 11661, pp. 197-214.

  • W. Auzinger, H. Hofstätter, K. Kropielnicka, O. Koch, P. Singh, Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime, Appl. Math. Comput. 362 (2019), 124550.

  • W. Auzinger, H. Hofstätter, O. Koch, Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations, J. Comput. Appl. Math. 356 (2019), pp. 339-357.

  • W. Auzinger, H. Hofstätter, O. Koch, M. Quell, M. Thalhammer, A posteriori error estimation for Magnus-type integrators, ESAIM: M2AN, 53 (2019), pp. 197-218.

  • H. Hofstätter, O. Koch, Non-satisfiability of a positivity condition for commutator-free exponential integrators of order higher than four, Numer. Math. 141(2019), pp. 681-691.

  • S. Donsa, H. Hofstätter, O. Koch, J. Burgdörfer, I. Brezinova, Long-time expansion of a Bose-Einstein condensate: The observability of Anderson localization, Phys. Rev. A 96, 043630 (2017).

  • 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, Comput. Phys. Comm. 234(2019), pp. 55-71.

  • 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. 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, Order conditions for exponential integrators.

  • 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.