Forschung
Publikationen
Aufsatz in einer Fachzeitschrift
|
A. Ricoeur, F. Lindner, and K. Zarjov, “Stochastic aspects of crack deflection and crack path prediction in short fiber reinforced polymer matrix composites,” European Journal of Mechanics - A/Solids, vol. 95, p. 104598, 2022. http://dx.doi.org/10.1016/j.euromechsol.2022.104598 |
|
F. Lindner and H. Stroot, “Strong convergence of a half-explicit Euler scheme for constrained stochastic mechanical systems,” IMA Journal of Numerical Analysis, vol. 41, no. 4, pp. 2562–2607, 2021. http://dx.doi.org/10.1093/imanum/draa009 |
|
A. Jentzen, F. Lindner, and P. Pušnik, “Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise,” Nonlinear Analysis, vol. 210, p. 112310, 2021. http://dx.doi.org/10.1016/j.na.2021.112310 |
|
F. Lindner, A. Jentzen, and P. Pušnik, “Exponential moment bounds and strong convergence rates for tamed-truncated numerical approximations of stochastic convolutions,” Numerical Algorithms, vol. 85, no. 4, pp. 1447–1473, 2020. http://dx.doi.org/10.1007/s11075-019-00871-y |
|
A. Andersson and F. Lindner, “Malliavin regularity and weak approximation of semilinear SPDEs with Lévy noise,” Discrete and Continuous Dynamical Systems - Series B, vol. 24, no. 8, pp. 4271–4294, 2019. http://dx.doi.org/10.3934/dcdsb.2019081 |
|
A. Jentzen, F. Lindner, and P. Pušnik, “On the Alekseev-Gröbner formula in Banach spaces,” Discrete and Continuous Dynamical Systems - Series B, vol. 24, no. 8, pp. 4475–4511, 2019. http://dx.doi.org/10.3934/dcdsb.2019128 |
|
P. A. Cioica-Licht, K.-H. Kim, K. Lee, and F. Lindner, “An Lp-estimate for the stochastic heat equation on an angular domain in R2,” Stochastics and Partial Differential Equations: Analysis and Computations, vol. 6, no. 1, pp. 45–72, 2018. http://dx.doi.org/10.1007/s40072-017-0102-9 |
|
F. Lindner, N. Marheineke, H. Stroot, A. Vibe, and R. Wegener, “Stochastic dynamics for inextensible fibers in a spatially semi-discrete setting,” Stochastics and Dynamics, vol. 17, no. 02, p. 1750016, 2017. http://dx.doi.org/10.1142/S0219493717500162 |
|
P. Cioica, S. Dahlke, N. Döhring, U. Friedrich, S. Kinzel, F. Lindner, T. Raasch, K. Ritter, and R. L. Schilling, “On the Convergence Analysis of the Inexact Linearly Implicit Euler Scheme for a Class of Stochastic Partial Differential Equations,” Potential Analysis, vol. 44, no. 3, pp. 473–495, 2016. http://dx.doi.org/10.1007/s11118-015-9510-5 |
|
M. Kovács, F. Lindner, and R. L. Schilling, “Weak Convergence of Finite Element Approximations of Linear Stochastic Evolution Equations with Additive Lévy Noise,” SIAM/ASA Journal on Uncertainty Quantification, vol. 3, no. 1, pp. 1159–1199, 2015. http://dx.doi.org/10.1137/15M1009792 |
|
F. Lindner, “Singular behavior of the solution to the stochastic heat equation on a polygonal domain,” Stochastics and Partial Differential Equations: Analysis and Computations, vol. 2, no. 2, pp. 146–195, 2014. http://dx.doi.org/10.1007/s40072-014-0030-x |
|
P. Cioica, S. Dahlke, N. Döhring, U. Friedrich, S. Kinzel, F. Lindner, T. Raasch, K. Ritter, and R. L. Schilling, “Convergence analysis of spatially adaptive Rothe methods,” Foundations of Computational Mathematics, vol. 14, no. 5, pp. 863–912, 2014. http://dx.doi.org/10.1007/s10208-013-9183-7 |
|
P. Cioica, K.-H. Kim, K. Lee, and F. Lindner, “On the Lq(Lp)-regularity and Besov smoothness of stochastic parabolic equations on bounded Lipschitz domains,” Electronic Journal of Probability, vol. 18, pp. 1–41, 2013. http://dx.doi.org/10.1214/EJP.v18-2478 |
|
F. Lindner and R. L. Schilling, “Weak Order for the Discretization of the Stochastic Heat Equation Driven by Impulsive Noise,” Potential Analysis, vol. 38, no. 2, pp. 345–379, 2013. http://dx.doi.org/10.1007/s11118-012-9276-y |
|
P. Cioica, S. Dahlke, N. Döhring, S. Kinzel, F. Lindner, T. Raasch, K. Ritter, and R. L. Schilling, “Adaptive wavelet methods for the stochastic Poisson equation,” BIT Numerical Mathematics, vol. 52, no. 3, pp. 589–614, 2012. http://dx.doi.org/10.1007/s10543-011-0368-7 |
|
P. Cioica, S. Dahlke, S. Kinzel, F. Lindner, T. Raasch, K. Ritter, and R. L. Schilling, “Spatial Besov regularity for stochastic partial differential equations on Lipschitz domains,” Studia Mathematica, vol. 207, no. 3, pp. 197–234, 2011. http://dx.doi.org/10.4064/sm207-3-1 |
Beitrag in einem Sammelband
|
F. Lindner, H. Stroot, and R. Wegener, “Semi-Discretized Stochastic Fiber Dynamics: Non-Linear Drag Force,” in Progress in Industrial Mathematics at ECMI 2016, vol. 26, P. Quintela, P. Barral, D. Gómez, F. Pena, J. Rodríguez, P. Salgado, and M. Vázquez-Méndez, Eds. Cham: Springer International Publishing, 2017, pp. 665–671. http://dx.doi.org/10.1007/978-3-319-63082-3_100 |
|
P. Cioica, S. Dahlke, N. Döhring, S. Kinzel, F. Lindner, T. Raasch, K. Ritter, and R. L. Schilling, “Adaptive Wavelet Methods for SPDEs,” in Extraction of Quantifiable Information from Complex Systems, vol. 102, S. Dahlke, W. Dahmen, M. Griebel, W. Hackbusch, K. Ritter, R. Schneider, C. Schwab, and H. Yserentant, Eds. Cham: Springer International Publishing, 2014, pp. 83–107. http://dx.doi.org/10.1007/978-3-319-08159-5_5 |
Dissertation
|
F. Lindner, “Approximation and Regularity of Stochastic PDEs,” Dresden, 2011. https://forschung.uni-kassel.de/converis/portal/detail/Publication/121259872 |
Preprint
|
D. Gallon, A. Jentzen, and F. Lindner, “Blow up phenomena for gradient descent optimization methods in the training of artificial neural networks,” arXiv Preprint. pp. 1–84, 2022. http://dx.doi.org/10.48550/arXiv.2211.15641 |
|
M. Beccari, M. Hutzenthaler, A. Jentzen, R. Kurniawan, F. Lindner, and D. Salimova, “Strong and weak divergence of exponential and linear-implicit Euler approximations for stochastic partial differential equations with superlinearly growing nonlinearities,” arXiv Preprint. pp. 1–65, 2019. http://dx.doi.org/10.48550/arXiv.1903.06066 |
|
S. Cox, A. Jentzen, and F. Lindner, “Weak convergence rates for temporal numerical approximations of stochastic wave equations with multiplicative noise,” arXiv Preprint. pp. 1–51, 2019. http://dx.doi.org/10.48550/arXiv.1901.05535 |
|
M. Hutzenthaler, A. Jentzen, F. Lindner, and P. Pušnik, “Strong convergence rates on the whole probability space for space-time discrete numerical approximation schemes for stochastic Burgers equations,” arXiv Preprint. pp. 1–60, 2019. http://dx.doi.org/10.48550/arXiv.1911.01870 |
|
A. Andersson and F. Lindner, “Poisson Malliavin calculus in Hilbert space with an application to SPDE,” arXiv Preprint. pp. 1–48, 2017. http://dx.doi.org/10.48550/arXiv.1703.07259 |
|
F. Lindner and M. Kovács, “Weak error analysis via functional Itô calculus,” arXiv Preprint. pp. 1–35, 2016. http://dx.doi.org/10.48550/arXiv.1603.08756 |