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- Dominik Edelmann, Finite element analysis for a diffusion equation on a harmonically evolving domain, August 2019.
- Ernst Hairer, Christian Lubich, Bin Wang, A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field, July 2019.
- Gianluca Ceruti, Christian Lubich, Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors, June 2019.
- Dimitra Antonopoulou, Ľubomír Baňas, Robert Nürnberg, Andreas Prohl, Numerical approximation of the stochastic Cahn-Hilliard equation near the sharp interface limit, May 2019.
- Georgios Akrivis, Michael Feischl, Balázs Kovács, Christian Lubich, Higher-order linearly implicit full discretization of the Landau-Lifschitz-Gilbert equation, March 2019.
- Eleonora Andreotti, Dominik Edelmann, Nicola Guglielmi, Christian Lubich, Measuring stability of spectral clustering, March 2019.
- David Hipp, Balázs Kovács, Finite element error analysis of wave equations with dynamic boundary conditions: L
^{2}estimates, January 2019, revised June 2019.

- Lukas Einkemmer, Christian Lubich, A quasi-conservative dynamical low-rank algorithm for the Vlasov equation, July 2018, revised March 2019.
- Max Jensen, Ananta K. Majee, Andreas Prohl, Christian Schellnegger, Dynamic Programming for Finite Ensembles of Nanomagnetic Particles, June 2018.
- Balázs Kovács, Buyang Li, Christian Lubich, A convergent evolving finite element algorithm for mean curvature flow of closed surfaces, May 2018, revised August 2019. To appear in Numer. Math.
- Ernst Hairer, Christian Lubich, Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field, April 2018, revised February 2019. To appear in Numer. Math.
- Alexander Ostermann, Chiara Piazzola, Hanna Walach, Convergence of a low-rank Lie-Trotter splitting for stiff matrix differential equations, March 2018, revised February 2019.
- Andreas Prohl, Christian Schellnegger, Adaptive concepts for stochastic partial differential equations, February 2018.

- Thomas Dunst, Ananta K Majee, Andreas Prohl, Guy Vallet, On Stochastic Optimal Control in Ferromagnetism , February 2017.

- Balázs Kovács, Computing arbitrary Lagrangian Eulerian maps for evolving surfaces, December 2016, revised March 2017.
- Ananta K Majee, Convergence of a flux-splitting finite volume scheme for conservation laws driven by Lévy noise , October 2016.
- Thomas Dunst, Andreas Prohl, Stochastic optimal control of finite ensembles of nanomagnets, June 2016.
- Ujjwal Koley, Ananta K Majee, Guy Vallet, A Finite difference scheme for conservation laws driven by Lévy noise, May 2016.
- Ujjwal Koley, Ananta K Majee, Guy Vallet, Continuous dependence estimate for a degenerate parabolic-hyperbolic equation with Lévy noise, May 2016, revised October 2016. To appear in Stoch PDE: Anal Comp.
- Imran H Biswas, Ananta K Majee, Guy Vallet, On the Cauchy problem of a degenerate parabolic-hyperbolic PDE with Lévy noise, April 2016.
- Janos Karatson, Balázs Kovács, Sergey Korotov, Discrete maximum principles for nonlinear elliptic finite element problems on Riemannian manifolds with boundary, February 2016, revised December 2016.
- Bernd Brumm, A fast matrix-free spectral method for the nonlinear Schrödinger equation, January 2016.

- Buyang Li, Convergence of a decoupled mixed FEM for the dynamic Ginzburg–Landau equations in nonsmooth domains with incompatible initial data, September 2015.
- Jonathan Seyrich, A splitting integrator for the BCS equations of superconductivity, May 2015.
- Thomas Dunst, Andreas Prohl, The forward-backward stochastic heat equation: numerical analysis and simulation, May 2015.

- Andreas Prohl, Strong rates of convergence for a space-time discretization of the stochastic Allen-Cahn equation with multiplicative noise, December 2014.
- Markus Klein, Andreas Prohl, Optimal control for the thin-film equation: Convergence of a multi-parameter approach to track state constraints avoiding degeneracies, October 2014.
- Chuchu Chen, Jialin Hong, Andreas Prohl, Convergence of a θ-scheme to solve the stochastic nonlinear Schrodinger equation with Stratonovich noise, October 2014.

- Thomas Dunst, Markus Klein, Andreas Prohl, Ailyn Schäfer, Optimal Control in Evolutionary Micromagnetism , July 2013.
- Xiaobing Feng, Yukun Li, Andreas Prohl, Finite element approximations of the stochastic mean curvature flow of planar curves of graphs, March 2013.

- Heiko Kröner, An inverse curvature flow in a spacetime with a future singularity, November 2012.
- Heiko Kröner, A note on inverse mean curvature flow in cosmological spacetimes, November 2012.
- Ľubomír Baňas, Zdzislaw Brzeźniak, Mikhail Neklyudov, Andreas Prohl, Convergent Finite Element Based Discretization of the Stochastic Landau-Lifshitz-Gilbert Equation, October 2012.
- Ľubomír Baňas, Markus Klein, Andreas Prohl, Control of Interface Evolution in Multi-Phase Fluid Flows, October 2012, revised July 2013.

- Mikhail Neklyudov, Andreas Prohl, The role of noise in finite ensembles of nanomagnetic particles, October 2011.
- Erich Carelli and Andreas Prohl, Rates of Convergence For Discretisations of Stochastic Incompressible Navier-Stokes Equations, August 2011.
- Ľubomír Baňas, Zdzislaw Brzeźniak, Martin Ondreját, Andreas Prohl, Attractivity, Invariance and Ergodicity For SDEs On Riemannian Manifolds, January 2011.

- Thomas Dunst, Erika Hausenblas, Andreas Prohl, Approximate Euler Method For Parabolic Stochastic Partial Differential Equations Driven by Space-Time Lévy Noise, December 2010.
- Zdzislaw Brzeźniak, Erich Carelli, Andreas Prohl, Finite Element Based Discretizations of the Incompressible Navier-Stokes Equations With Multiplicative Random Forcing, June 2010.
- David Hilditch, Ronny Richter, Hyperbolic formulations of General Relativity with Hamiltonian structure, February 2010.

- Ľubomír Baňas, Zdzislaw Brzeźniak, Andreas Prohl, Convergent Finite Element Based Discretization of the Stochastic Landau-Lifshitz-Gilbert Equations, December 2009.
- Erich Carelli, Erika Hausenblas, Andreas Prohl, Time-splitting methods to solve the stochastic incompressible stokes equation, December 2009.
- Ľubomír Baňas, Andreas Prohl, Convergent Finite Element Discretization of the Multi-fluid Nonstationary Incompressible Magnetohydrodynamics Equations, April 2009.
- Erich Carelli, Alexander Müller, Andreas Prohl, Domain Decomposition Strategies For the Stochastic Heat Equation, April 2009.
- Ronny Richter, Strongly hyperbolic Hamiltonian systems in numerical relativity: Formulation and symplectic integration, February 2009.

- Andreas Prohl, Katja Wolf, Convergent Finite Element Discretization of the Navier-Stokes Korteweg System For Liquid-Vapor Phase Transition, July 2008.
- Andreas Prohl, Markus Schmuck, Convergent Finite Element Discretizations of the Navier-Stokes-Nernst-Planck-Poisson System, July 2008.
- Ľubomír Baňas, Andreas Prohl, and Reiner Schätzle, Finite Element Approximations of Harmonic Map Heat Flows and Wave Map into Spheres of Nonconstant Radii, June 2008.
- Ronny Richter, Jörg Frauendiener, Discreted ifferential forms for cosmological space-times, May 2008.
- Matthias Loy, Splitting integrators for skew-hermitian systems of stochastic differential equations, March 2008.
- Andreas Prohl, Convergent Finite Element Discretizations of the Nonstationary Incompressible Magnetohydrodynamics System, March 2008.

- Erich Carelli, Finite Element Discretization of Motions of Incompressible Generalized Newtonian Flows, December 2007.
- Erich Carelli, Andreas Prohl, A Note On Pressure Approximation of First and Higher Order Projection Schemes For the Nonstationary Incompressible Navier-Stokes Equations, December 2007.
- Andreas Prohl, Isabelle Weindl, Convergence of an Implicit Finite Element Discretization for a Class of Parabolic Equations With Nonstandard Anisotropic Growth Conditions, November 2007.
- Markus Schmuck, Analysis of the Navier-Stokes-Nernst-Planck-Poisson System, November 2007.
- Andreas Prohl, Markus Schmuck, Convergent Discretizations for the Nernst-Planck-Poisson System, November 2007.
- Andreas Prohl, On Pressure Approximation via Projection Methods for nonstationary incompressible Navier-Stokes Equations, July 2007.
- Ľubomír Baňas, Andreas Prohl, and Marián Slodička, Modelling of thermally assisted magnetodynamics, June 2007.
- Andreas Prohl, Convergence of a Finite Element based Space-Time Discretization in Elastodynamics, March 2007.
- Ľubomír Baňas, Sören Bartels, and Andreas Prohl, A convergent implicit discretization of the Maxwell-Landau-Lifshitz-Gilbert equation, February 2007.
- Roland Becker, Xiaobing Feng, Andreas Prohl, Finite element approximations of the Ericksen-Lesie model for nematic liquid crystal flow, January 2007.

- Xiaobing Feng, Michael Neilan, Andreas Prohl, Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity, September 2006.
- Sören Bartels, Xiaobing Feng, Andreas Prohl, Finite Element approximations of wave maps into spheres, June 2006.
- Sören Bartels, Andreas Prohl, Fully Practical, Constraint Preserving, Implicit Approximation of Harmonic Map Heat Flow Into Spheres, February 2006.
- Sören Bartels, Andreas Prohl, Convergence of an Implicit, Constraint Preserving Finite Element Discretization of p-Harmonic Heat Flow Into Spheres, February 2006.
- Sören Bartels, Andreas Prohl, Stable Discretization of Scalar and Constrained Vectorial Perona-Malik Equation, February 2006.

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