Publications

Papers in peer-reviewed journals

S. Becher and G. Matthies, Unified Analysis for Variational Time Discretizations of Higher Order and Higher Regularity Applied to Non-stiff ODEs, Numer. Algorithms 89:4 (2022), pp. 1533-1565, preprint arXiv:2105.06862
S. Becher and G. Matthies, Variational Time Discretizations of Higher Order and Higher Regularity, BIT Numer. Math. 61:3 (2021), pp. 721-755, preprint arXiv:2003.04056
M. Anselmann, M. Bause, S. Becher, and G. Matthies, Galerkin-collocation approximation in time for the wave equation and its post-processing, ESAIM: M2AN 54:6 (2020), pp. 2099-2123, preprint arXiv:1908.08238
S. Becher, FEM-analysis on graded meshes for turning point problems exhibiting an interior layer, Int. J. Numer. Anal. Model. 16:3 (2019), pp. 499-518, preprint arXiv:1603.04653
S. Becher, Analysis of Galerkin and streamline-diffusion FEMs on piecewise equidistant meshes for turning point problems exhibiting an interior layer, Appl. Numer. Math. 123 (2018), pp. 121-136, preprint arXiv:1604.01327
N. Ahmed, S. Becher, and G. Matthies, Higher-order discontinuous Galerkin time stepping and local projection stabilization techniques for the transient Stokes problem, Comput. Methods Appl. Mech. Engrg. 313 (2017), pp. 28-52
S. Becher and H.-G. Roos, Richardson extrapolation for a singularly perturbed turning point problem with exponential boundary layers, J. Comput. Appl. Math. 290 (2015), pp. 334-351

S. Becher, G. Matthies, and D. Wenzel, Variational Methods for Stable Time Discretization of First-Order Differential Equations, in: Advanced Computing in Industrial Mathematics: 12th Annual Meeting of the Bulgarian Section of SIAM December 20-22, 2017, Sofia, Bulgaria Revised Selected Papers, Springer, pp. 63-75, 2019
S. Becher, FEM-analysis on layer-adapted meshes for turning point problems exhibiting an interior layer, Model. Anal. Inform. Sist., 23:3 (2016), pp. 240-247

S. Becher, Uniform error estimates for general semilinear turning point problems on layer-adapted meshes, arXiv:1701.06323