# Numerical Analysis

# Seminar in Numerical Analysis

Our weekly Seminar "Numerical Analysis" takes place on**Fridays from 11.00 to 12.00 a.m. in room 05.001 in Spiegelgasse 5, with tea and coffee in room 06.001 in Spiegelgasse 1 prior to the talk.**

For questions please contact Dennis Tröndle. For more information please visit the webpage of the seminar.

# Publications

2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016

## Journal Articles

Diaz, Julien; Grote, Marcus J.: Multilevel Explicit Local Time-stepping For Second-order Wave Equations, in: Computer methods in applied mechanics and engineering 291, 2015, S. 240-265. |

Grote, Marcus J.; Mehlin, Michaela; Mitkova, Teodora: Runge-Kutta Based Explicit Local Time-Stepping Methods for Wave Propagation, in: SIAM journal on scientific computing 37, 2015, H. 2, S. A747-A775. (Abriss) |

Grote, Marcus J.; Kray, Marie; Nataf, Frédéric; Assous, Franck: Wave splitting for time-dependent scattered field separation, in: C. R. Acad. Sci. Paris, Ser. I , 2015, S. 1--5. |

Abdulle, Assyr; Grote, Marcus J.; Stohrer, Christian: Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long Time Effects, in: SIAM J. Multiscale Modeling and Simulation 12, 2014, S. 1230-1257. |

Grote, Marcus J.; Huber, Johannes; Kourounis, Drosos; Schenk, Olaf: Inexact Interior-Point Method for PDE-Constrained Nonlinear Optimization, in: SIAM J. Scientific Computing 36, 2014, S. A1251-1276. |

de Buhan, Maya; Kray, Marie: A new approach to solve the inverse scattering problem for waves: combining the TRAC and the Adaptive Inversion methods, in: Inverse Problems 29, 2013, H. 8, S. 085009. (Abriss) |

Cohen, David; Larsson, S; Sigg, M.: A trigonometric method for the linear stochastic wave equation, in: SIAM J. on Numerical Analysis 51, 2013, S. 204-222. |

Abdulle, Assyr; Grote, Marcus J.; Stohrer, Christian: FE Heterogeneous Multiscale Method for Long Time Wave Propagation, in: Comptes rendus mathematique 351, 2013, H. 11-12, S. 495-499. (Abriss) |

Cohen, David; Sigg, Magdalena: Convergence analysis of trigonometric methods for stiff second-order stochastic differential equations, in: Numer. Mathematik 121, 2012, S. 1-29. |

Cohen, David: On the numerical discretisation of stochastic oscillators, in: Math. and Comput. in Simulation 82, 2012, S. 1478-1495. |

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 63, 2011, H. 4, S. 757-77. (Abriss) |

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, H. 12, S. 3283-3302. (Abriss) |

Bollhoefer, Matthias; Grote, Marcus J.; Schenk, Olaf: Algebraic multilevel preconditioner for the Helmholtz equation in heterogeneous media, in: SIAM journal on scientific computing 31, 2009, H. 5, S. 3781-3805. (Abriss) |

Diaz, Julien; Grote, Marcus J.: Energy conserving explicit local time-stepping for second-order wave equations, in: SIAM journal on scientific computing 31, 2009, H. 3, S. 1985-2014. (Abriss) |

Grote, Marcus J.; Sim, Imbo: On local nonreflecting boundary conditions for time-dependent wave propagation, in: Chinese annals of mathematics. Ser. B 30, 2009, H. 5, S. 589-606. (Abriss) |

Grote, Marcus J.; Schoetzau, Dominik: Optimal error estimates for the fully discrete interior penalty DG method for the wave equation, in: Journal of scientific computing 40, 2009, H. 1-3, S. 257-272. (Abriss) |

John, Volker; Mitkova, Teodora; Roland, Michael; Sundmacher, Kai; Tobiska, Lutz; Voigt, Andreas: Simulations of population balance systems with one internal coordinate using finite element methods, in: Chemical engineering science 64, 2009, H. 4, S. 733-741. (Abriss) |

## Essays in Anthologies

Grote, Marcus; Nahum, Uri: Adaptive Eigenspace Inversion for the Helmholtz Equation, in: Proc. of the 12th International Conf. on Math. and Numerical Aspects of Wave Propagation, KIT, Karlsruhe 2015. |

Gaudio, Loredana; Grote, Marcus; Mehlin, Michaela: Convergence Analysis of Leap-Frog Based Local Time-Stepping for the Wave Equation, in: Proc. of the 12th International Conf. on Math. and Numerical Aspects of Wave Propagation, KIT, Karlsruhe 2015. |

Rietmann, Max; Grote, Marcus; Daniel Peter; Olaf Schenk; Ucar, Bora: Load-Balanced Local Time Stepping for Large-Scale Wave Propagation, in: Proc. of the 29th IEEE Internat. Parallel and Distr. Process. Symposium (IPDPS 2015), Hyderabad, India 2015. |

Almquist, Martin; Grote, Marcus; Mehlin, Michaela: Multi-Level Runge-Kutta based Explicit Local Time-Stepping for Wave Propagation, in: Proc. of the 12th International Conf. on Math. and Numerical Aspects of Wave Propagation, KIT, Karlsruhe 2015. |

Grote, Marcus; Mehlin, Michaela: Runge-Kutta type Explicit Local Time-Stepping for Electromagnetics, in: Proc. of the International 12th Conf. on Math. and Numerical Aspects of Wave Propagation, KIT, Karlsruhe 2015. |

Grote, Marcus; Kray, Marie; Nataf, Frederic; Assous, Frank: Wave-Splitting for Time-Dependent Scattered Field Separation, in: Proc. of the 12th International Conf. on Math. and Numerical Aspects of Wave Propagation, KIT, Karlsruhe 2015. |

Grote, Marcus J.; Mitkova, Teodora: Explicit Local Time-Stepping Methods for Time-Dependent Wave Propagation, in: Graham, I.; Langer, U.; Melenk, J.; Sini, M. (Hg.): Direct and Inverse Problems in Wave Propagation and Applications, Berlin 2013 (= Radon Series on Comput. and Appl. Math.), S. 187-218. |

Abdulle, Assyr; Grote, Marcus J.; Stohrer, Christian: Finite element heterogeneous multiscale method for the wave equation: long time effects, in: Oberwolfach reports, 10, no. 1, Oberwolfach 2013 (= 10, no. 1). (Link) |

Abdulle Assyr; Grote, Marcus J.; Stohrer, Christian: Finite element heterogeneous multiscale method for the wave equation: long-time effects, in: Proceedings of 11th international conference on mathematical and numerical aspects of wave propagation (WAVES 2013), Gammarth, Tunisia 2013. |

Gaudio, Loredana; Grote, Marcus J.; Schenk, Olaf: Interior point method for time-dependent inverse problems, in: Proceedings of 11th international conference on mathematical and numerical aspects of wave propagation (WAVES 2013), Gammarth, Tunisia 2013. |

Grote, Marcus J.; Mehlin, Michaela; Mitkova, Teodora: Runge-Kutta type explicit local time-stepping methods, in: Proceedings of 11th international conference on mathematical and numerical aspects of wave propagation (WAVES 2013), Gammarth, Tunisia 2013. |

Assous, Frank; Grote, Marcus J.; Kray, Marie; Nataf, Frederic: Time-reversed absorbing conditions (TRAC): discrimination between one and two nearby inclusions in the partial aperture case, in: Proceedings of 11th international conference on mathematical and numerical aspects of wave propagation (WAVES 2013), Gammarth, Tunisia 2013. |

Grote, Marcus J.; Mehlin, Michaela; Mitkova, Teodora: DG Methods and Local Time-Stepping for Wave Propagation, in: Theory and Applications of DG Methods, 1, Oberwolfach, Germany 2012 (= 9). |

Grote, Marcus J.; Mehlin, Michaela; Mitkova, Teodora: High-Order Local Time-Stepping with Explicit Runge-Kutta Methods, in: Proceedings of SCEE'12, ETH Zurich, Switzerland 2012. |

Abdulle Assyr; Grote, Marcus J.; Stohrer, Christian: Finite element heterogeneous multiscale method for transient wave propagation, in: Proceedings of WAVES 2010, the 10th International conference on the mathematical and numerical aspects of waves, Vancouver 2011. (Abriss / Link) |

Grote, M. J.; Huber, J.; Schenk, O.: Interior point methods for the inverse medium problem on massively parallel architectures, in: Sato, M; Matsuoka, S; Sloot, PMA; VanAlbada, GD; Dongarra, J (Hg.): Proceedings of the international conference on computational science (ICCS 2011), Singapore 2011. (Abriss) |

Grote, Marcus J.; Mitkova, Teodora: Discontinuous galerkin methods and local time stepping for wave propagation, in: AIP Conference Proceedings Volume 1281 for ICNAAM 2010, Rhodes, Greece 2010. |

Grote, Marcus; Mitkova, Teodora: 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, the 9th International conference on mathematical and numerical aspects of waves propagation, Pau, France 2009. |

## Preprints

Grote, Marcus; Kray, Marie; Nahum, Uri: Adaptive eigenspace method for inverse scattering problems in the frequency domain, 2016. (Link) |

Diaz, Julien; Grote, Marcus: Multi-Level Explicit Local Time-Stepping Methods for Second-Order Wave Equations , 2015. (Link) |

Franck, Assous; Frédéric, Nataf; Grote, Marcus; Kray, Marie: Time-dependent wave splitting and source separation, 2015. (Link) |

Grote, Marcus; Kray, Marie; Nataf, Frédéric; Assous, Franck: Wave splitting for time-dependent scattered field separation -- Décomposition d'ondes pour la séparation de champs diffractés dans le domaine temporel, 2015. |

Diaz, Julien; Grote, Marcus: Multi-Level Explicit Local Time-Stepping Methods for Second-Order Wave Equations, 2014. (Link) |

Grote, Marcus; Mehlin, Michaela; Mitkova, Teodora: Runge-Kutta Based Explicit Local Time-Stepping Methods for Wave Propagation, 2014. (Link) |

Abdulle, Assyr; Grote, Marcus; Stohrer, Christian: Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long Time Effects , 2013. (Link) |

Grote, Marcus; Huber, Johannes; Kourounis, Drosos; Schenk, Olaf: Inexact Interior-Point Method for Pde-Constrained Nonlinear Optimization, 2013. (Link) |

Huber, Johannes: Interior-Point Methods for PDE-Constrained Optimization, 2013. (Download) |

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) |

Grote, Marcus; Mitkova, Teodora: Explicit local time-stepping methods for time-dependent wave propagation, 2012. (Link) |

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) |