Numerical Analysis
Seminar in Numerical Analysis
Our weekly Seminar "Numerical Analysis" takes place
Friday from 9 to 10 a.m. in the "Grosse Hörsaal", with a tea in "Eulerzimmer" afterwards.
For questions please contact Christian Stohrer. For more informations please visit the webpage of the seminar.
Publications
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
Journal Articles
| Cohen, David: On the numerical discretisation of stochastic oscillators (accepted for publication), in: Mathematics and computers in simulation , 2012, S. 15. (Abstract) |
| Cohen, David; Sigg, Magdalena: Convergence analysis of trigonometric methods for stiff second-order stochastic differential equations, in: Numerische Mathematik , 2011, S. 27. |
| Cohen, David; Raynaud, Xavier: Convergent numerical schemes for the compressible hyperelastic-rod wave equation, in: Numerische Mathematik , 2011, S. 59. |
| Grote, Marcus J.; Palumberi, Viviana; Wagner, Barbara; Barbero, Andrea; Martin, Ivan: Dynamic Formation of Oriented Patches in Chondrocyte Cell Cultures, in: Journal of mathematical biology , 2011, S. 757-777. |
| Abdulle, Assyr; Grote, Marcus J.: Finite Element Heterogeneous Multiscale Method for the Wave Equation, in: Multiscale modeling & simulation 9, 2011, S. 766-792. |
| Grote, Marcus J.; Sim, Imbo: Local Nonreflecting Boundary Conditions for Time Dependent Multiple Scattering, in: Journal of computational physics , 2011, H. 230, S. 3135-3154. |
| Grote, Marcus J.; Mitkova, Teodora: Explicit local time-stepping for Maxwell's equations, in: Journal of Computational and Applied Mathematics 234, 2010, S. 3283-3302. |
| Cohen, David; Raynaud, Xavier: Geometric finite difference schemes for the generalized hyperelastic-rod wave equation, in: Journal of computational and applied mathematics , 2010. (Abstract) |
| Cohen, David; Hairer, Ernst: Linear energy-preserving integrators for Poisson systems, in: BIT , 2010, S. 9. |
| Bollhoefer, Matthias; Grote, Marcus J.; Schenk, Olaf: Algebraic Multilevel Preconditioner For the Helmholtz Equation In Heterogeneous Media, in: SIAM j. Scientific Computing 31, 2009, S. 3781-3805. |
| Diaz, julien; Grote, Marcus J.: Energy conserving explicit local time-stepping for second-order wave equations, in: SIAM J. Scientific Computing 31, 2009, S. 1985-2014. |
| Grote, Marcus J.; Sim, Imbo: On Local nonreflecting boundary conditions for time-dependent wave propagation, in: Chinese Ann. Math. Ser. B 30, 2009, S. 589-606. |
| Grote, Marcus J.; Schötzau, Dominik: Optimal error estimates for the fully discrete interior penalty DG method for the wave equation, in: J. Scientific Computing 40, 2009, S. 257-272. |
| John, V.; Mitkova, T. Roland; Sundmacher, K; Tobiska, L.; Voigt, A.: Simulations of population balance systems with one internal coordinate using finite element methods, in: Chemical engineering science 64, 2009, S. 733-741. |
| Cohen, David; Hairer, Ernst; Lubich, Christian: Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations, in: NUMERISCHE MATHEMATIK , 2008, S. 113-143. (Abstract) |
| Cohen, David; Hairer, Ernst; Lubich, Christian: Long-time analysis of nonlinearly perturbed wave equations via modulated Fourier expansions, in: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS , 2008, S. 341-368. (Abstract) |
Essays in Anthologies
| Grote, Marcus J.; Huber, Johannes; Schenk, Olaf: Interior Point Methods for the Inverse Medium Problem on Massively Paral lel Architectures, in: Proc. of Internat. Conf. on Computational Science (ICCS 2011), 2011, S. 1466-1474. |
| Grote, Marcus J.; Mitkova, Teodora: Discontinuous Galerkin Methods and Local Time Stepping for Wave Propagation, in: AIP Conference Proceedings Volume 1281 for ICNAAM 2010, 1281, 2010 (= 1281), S. 320-324. |
| Grote, M.; Mitkova, T.: Explicit Local Time-Stepping for Transient Electromagnetic Waves, in: Barucq, H.; Bonnet-Bendhia, A.-S.; Cohen, G.; Diaz, J.; Ezziani, A.; Joly, P. (Hg.): Proceedings of Waves 2009, 2009, S. 70-71. |
Preprints
| Grote, Marcus; Mitkova, Teodora: Explicit local time-stepping methods for time-dependent wave propagation, 2012. (Link) |
| Curtis / Lehigh University, Frank; Huber, Johannes; Schenk / University of Lugano, Olaf; Waechter / Northwestern University, Andreas: A Note on the Implementation of an Interior-Point Algorithm for Nonlinear Optimization with Inexact Step Computations, 2012. (Download) |
| Barbero, Andrea ; Grote, Marcus; Martin, Ivan; Palumberi, Viviana ; Wagner, Barbara : Dynamic Formation of Oriented Patches in Chondrocyte Cell Cultures, 2010. (Link) |
| Beilina, Larisa; Grote, Marcus: Adaptive Hybrid Finite Element/Difference Method for Maxwell’s Equations, 2010. (Link) |
| Cohen, David; Hairer, Ernst: Linear EnergyPreserving Integrators for Poisson Systems, 2010. (Link) |
| Grote, Marcus; Sim, Imbo: Local Nonreflecting Boundary Condition for Time-Dependent Multiple Scattering, 2010. (Link) |
| Abdulle, Assyr; Grote, Marcus: Finite Element Heterogeneous Multiscale Method for the Wave Equation, 2010. (Link) |
