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- Lehel Banjai, Christian Lubich, Runge-Kutta convolution coercivity and its use for time-dependent boundary integral equations, February 2017.
- 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.
- Nicola Guglielmi, Christian Lubich, Matrix stabilization using differential equations, November 2016.
- Balázs Kovács, Christian Lubich, Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type, November 2016.
- Ananta K Majee, Convergence of a flux-splitting finite volume scheme for conservation laws driven by L\'{e}vy noise , October 2016.
- Sarah Eberle, The elastic wave equation and the stable numerical coupling of its interior and exterior problems, August 2016.
- Balázs Kovács, Buyang Li, Christian Lubich, Christian Power-Guerra, Convergence of finite elements on an evolving surface driven by diffusion on the surface, July 2016, revised February 2017. To appear in Numer. Math., doi:10.1007/s00211-017-0888-4.
- Balázs Kovács, High-order evolving surface finite element method for parabolic problems on evolving surfaces, June 2016, revised October 2016. To appear in IMA J. Numer. Anal.
- Nicola Guglielmi, Christian Lubich, Volker Mehrmann, On the nearest singular matrix pencil, June 2016, revised February 2017. To appear in SIAM J. Matrix Anal. Appl.
- Thomas Dunst, Andreas Prohl, Stochastic optimal control of finite ensembles of nanomagnets, June 2016.
- Peer Kunstmann, Buyang Li, Christian Lubich, Runge–Kutta time discretization of nonlinear parabolic equations studied via discrete maximal parabolic regularity, May 2016.
- Balázs Kovács, Christian Lubich, Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations, May 2016, revised January 2017. To appear in Numer. Math., doi:10.1007/s00211-017-0868-8.
- 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.
- Balázs Kovács, Christian Power, Maximum norm stability and error estimates for the evolving surface finite element method, September 2015, revised December 2016.
- 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.
- Balázs Kovács, Christian Power, Higher-oder time discretizations with ALE finite elements for parabolic problems on evolving surfaces, July 2014, revised January 2015 and July 2015. To appear in IMA J. Numer. Anal.

- 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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