On the use of two QMR algorithms for solving singular systems and applications in Markov chain modeling. - Roland W. Freund; Marlis Hochbruck (Numer. Linear Algebra Appl., 1994)

Preconditioned Krylov Subspace Methods for Lyapunov Matrix Equations. - Marlis Hochbruck; Gerhard Starke (SIAM J. Matrix Anal. Appl., 1995)

A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems. - Bernd Fischer 001; Martin Hanke; Marlis Hochbruck (Numer. Algorithms, 1996)

Error Analysis of Krylov Methods In a Nutshell. - Marlis Hochbruck; Christian Lubich (SIAM J. Sci. Comput., 1998)

Exponential Integrators for Large Systems of Differential Equations. - Marlis Hochbruck; Christian Lubich; Hubert Selhofer (SIAM J. Sci. Comput., 1998)

A Bunch of Time Integrators for Quantum/Classical Molecular Dynamics. - Marlis Hochbruck; Christian Lubich (Computational Molecular Dynamics, 1999)

A Gautschi-type method for oscillatory second-order differential equations. - Marlis Hochbruck; Christian Lubich (Numerische Mathematik, 1999)

On Magnus Integrators for Time-Dependent Schrödinger Equations. - Marlis Hochbruck; Christian Lubich (SIAM J. Numer. Anal., 2003)

Explicit Exponential Runge-Kutta Methods for Semilinear Parabolic Problems. - Marlis Hochbruck; Alexander Ostermann (SIAM J. Numer. Anal., 2005)

Numerical solution of nonlinear wave equations in stratified dispersive media. - Christoph Karle; Julia Schweitzer; Marlis Hochbruck; Ernst-Wolfgang Laedke; Karl-Heinz Spatschek (J. Comput. Phys., 2006)

Preconditioning Lanczos Approximations to the Matrix Exponential. - Jasper van den Eshof; Marlis Hochbruck (SIAM J. Sci. Comput., 2006)

One-dimensional electromagnetic relativistic PIC-hydrodynamic hybrid simulation code H-VLPL (hybrid virtual laser plasma lab). - Jalo Liljo; Anupam Karmakar; Alexander Pukhov; Marlis Hochbruck (Comput. Phys. Commun., 2008)

A parallel implementation of a two-dimensional fluid laser-plasma integrator for stratified plasma-vacuum systems. - Christoph Karle; Julia Schweitzer; Marlis Hochbruck; Karl-Heinz Spatschek (J. Comput. Phys., 2008)

Approximation of matrix operators applied to multiple vectors. - Marlis Hochbruck; Jörg Niehoff (Math. Comput. Simul., 2008)

Exponential Rosenbrock-Type Methods. - Marlis Hochbruck; Alexander Ostermann; Julia Schweitzer (SIAM J. Numer. Anal., 2008)

Exponential integrators. - Marlis Hochbruck; Alexander Ostermann (Acta Numer., 2010)

On the convergence of a regularizing Levenberg-Marquardt scheme for nonlinear ill-posed problems. - Marlis Hochbruck; Michael Hönig (Numerische Mathematik, 2010)

A Multilevel Jacobi–Davidson Method for Polynomial PDE Eigenvalue Problems Arising in Plasma Physics. - Marlis Hochbruck; Dominik Löchel (SIAM J. Sci. Comput., 2010)

Residual, Restarting, and Richardson Iteration for the Matrix Exponential. - Mike A. Botchev; Volker Grimm; Marlis Hochbruck (SIAM J. Sci. Comput., 2013)

Efficient multiple time-stepping algorithms of higher order. - Abdullah Demirel; Jens Niegemann; Kurt Busch; Marlis Hochbruck (J. Comput. Phys., 2015)

Convergence of an ADI splitting for Maxwell's equations. - Marlis Hochbruck; Tobias Jahnke; Roland Schnaubelt (Numerische Mathematik, 2015)

Implicit Runge-Kutta Methods and Discontinuous Galerkin Discretizations for Linear Maxwell's Equations. - Marlis Hochbruck; Tomislav Pazur (SIAM J. Numer. Anal., 2015)

Error Analysis of a Second-Order Locally Implicit Method for Linear Maxwell's Equations. - Marlis Hochbruck; Andreas Sturm (SIAM J. Numer. Anal., 2016)

A fast mollified impulse method for biomolecular atomistic simulations. - L. Fath; Marlis Hochbruck; C. V. Singh (J. Comput. Phys., 2017)

Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations. - Marlis Hochbruck; Tomislav Pazur (Numerische Mathematik, 2017)

Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations. - Marlis Hochbruck; Tomislav Pazur; Roland Schnaubelt (Numerische Mathematik, 2018)

Heterogeneous Multiscale Method for Maxwell's Equations. - Marlis Hochbruck; Bernhard Maier; Christian Stohrer (Multiscale Model. Simul., 2019)

Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations. - Marlis Hochbruck; Andreas Sturm (Math. Comput., 2019)

On the convergence of Lawson methods for semilinear stiff problems. - Marlis Hochbruck; Jan Leibold; Alexander Ostermann (Numerische Mathematik, 2020)

On Leapfrog-Chebyshev Schemes. - Constantin Carle; Marlis Hochbruck; Andreas Sturm (SIAM J. Numer. Anal., 2020)

An implicit-explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions. - Marlis Hochbruck; Jan Leibold (Numerische Mathematik, 2021)

Correction to: An implicit-explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions. - Marlis Hochbruck; Jan Leibold (Numerische Mathematik, 2021)

Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems. - Marlis Hochbruck; Jonas Köhler 003 (Numerische Mathematik, 2022)

Exponential Integrators for Quasilinear Wave-Type Equations. - Benjamin Dörich; Marlis Hochbruck (SIAM J. Numer. Anal., 2022)

Error Analysis of Multirate Leapfrog-Type Methods for Second-Order Semilinear Odes. - Constantin Carle; Marlis Hochbruck (SIAM J. Numer. Anal., 2022)

Variational Gaussian approximation for the magnetic Schrödinger equation. - Selina Burkhard; Benjamin Dörich; Marlis Hochbruck; Caroline Lasser (CoRR, 2023)

Survey and Review. - Marlis Hochbruck (SIAM Rev., 2023)

Error analysis of an implicit-explicit time discretization scheme for semilinear wave equations with application to multiscale problems. - Daniel Eckhardt; Marlis Hochbruck; Barbara Verfürth (CoRR, 2024)

Error analysis of DGTD for linear Maxwell equations with inhomogeneous interface conditions. - Benjamin Dörich; Julian Dörner; Marlis Hochbruck (CoRR, 2024)

Local time-integration for Friedrichs' systems. - Marlis Hochbruck; Malik Scheifinger (CoRR, 2025)

Time-integration of Gaussian variational approximation for the magnetic Schrödinger equation. - Malik Scheifinger; Kurt Busch; Marlis Hochbruck; Caroline Lasser (CoRR, 2025)

A non-iterative domain decomposition time integrator for linear wave equations. - Tim Buchholz; Marlis Hochbruck (CoRR, 2025)