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Publications

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Publications

Journal paper

  • P.A. Cioica-Licht, K.-H. Kim, K. Lee, F. Lindner (2017).
    An Lp estimate for the stochastic heat equation on an angular domain in R^2.
    Stoch PDE: Anal Comp. (Online First: 04 August 2017), 28 pages.
    [doi] [BibTex]

  • F. Lindner, N. Marheineke, H. Stroot, A. Vibe, R. Wegener (2017).
    Stochastic fiber dynamics in a spatially semi-discrete setting.
    Stoch. Dyn.. 17, (2), 1750016, 29 pages.
    [doi] [www] [BibTex]

  • P.A. Cioica, S. Dahlke, N. Döhring, U. Friedrich, S. Kinzel, F. Lindner, T. Raasch, K. Ritter, R.L. Schilling (2016).
    On the convergence analysis of the inexact linearly implicit Euler scheme for a class of SPDEs.
    Potential Analysis. 44, (3), 473–495.
    [www] [BibTex]

  • M. Kovács, F. Lindner, R.L. Schilling (2015).
    Weak convergence of finite element approximations of linear stochastic evolution equations with additive Lévy noise.
    SIAM/ASA Journal on Uncertainty Quantification. 3, (1), 1159-1199.
    [www] [BibTex]

  • F. Lindner (2014).
    Singular Behavior of the Solution to the Stochastic Heat Equation on a Polygonal Domain.
    Stoch PDE: Anal Comp. 2, (2), 146--195.
    [doi] [BibTex]

  • P.A. Cioica, S. Dahlke, N. Döhring, U. Friedrich, S. Kinzel, F. Lindner, T. Raasch, K. Ritter, R.L. Schilling (2014).
    Convergence Analysis of Spatially Adaptive Rothe Methods.
    Found Comput Math. 14, (5), 863--912.
    [doi] [BibTex]

  • F. Lindner, R.L. Schilling (2013).
    Weak Order for the Discretization of the Stochastic Heat Equation Driven by Impulsive Noise.
    Potential Analysis. 38, (2), 345--379.
    [doi] [BibTex]

  • P.A. Cioica, K.-H. Kim, K. Lee, F. Lindner (2013).
    On the Lq(Lp)-regularity and Besov smoothness of stochastic parabolic equations on bounded Lipschitz domains.
    Electronic Journal of Probability. 18, (82), 1--41.
    [doi] [BibTex]

  • P.A. Cioica, S. Dahlke, N. Döhring, S. Kinzel, F. Lindner, T. Raasch, K. Ritter, R.L. Schilling (2012).
    Adaptive Wavelet Methods for the Stochastic Poisson Equation.
    BIT. Numerical Mathematics. 52, (3), 589--614.
    [doi] [BibTex]

  • P.A. Cioica, S. Dahlke, S. Kinzel, F. Lindner, T. Raasch, K. Ritter, R.L. Schilling (2011).
    Spatial Besov Regularity for Stochastic Partial Differential Equations on Lipschitz Domains.
    Studia Mathematica. 207, (3), 197--234.
    [doi] [BibTex]

Bookchapter

  • P.A. Cioica, S. Dahlke, N. Döhring, S. Kinzel, F. Lindner, T. Raasch, K. Ritter, R.L. Schilling (2014).
    Adaptive Wavelet Methods for SPDEs.
    Extraction of Quantifiable Information from Complex Systems. S. Dahlke, W. Dahmen, M. Griebel, W. Hackbusch, K. Ritter, R. Schneider, C. Schwab, H. Yserentant (eds.) Lecture Notes in Computational Science and Engineering 102, 83--107.
    [doi] [BibTex]

Conference proceedings

  • F. Lindner, H. Stroot, R. Wegener (2017).
    Semi-discretized stochastic fiber dynamics: Non-linear drag force.
    (to appear in the Proceedings of ECMI 2016, 7 pages)
    [BibTex]

Thesis

  • F. Lindner (2011).
    Approximation and Regularity of Stochastic PDEs.
    TU Dresden (Shaker-Verlag, Aachen)
    [www] [BibTex]

Preprint

  • A. Andersson, F. Lindner (2017).
    Poisson Malliavin calculus in Hilbert space with an application to SPDE.
    (arXiv:1703.07259, 48 pages)
    [www] [BibTex]
  • F. Lindner, H. Stroot (2017).
    Strong convergence of a half-explicit Euler scheme for constrained stochastic mechanical systems.
    (arXiv:1709.07964, 39 pages)
    [www] [BibTex]
  • M. Kovács, F. Lindner (2016).
    Weak error analysis via functional Itô calculus.
    (arXiv:1603.08756, 33 pages)
    [www] [BibTex]