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ORCIDMarlis Hochbruck
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- affiliation: Karlsruhe Institute of Technology, Germany
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Journal Articles
- 2025
[j46]Malik Scheifinger, Kurt Busch, Marlis Hochbruck, Caroline Lasser:
Time-integration of Gaussian variational approximation for the magnetic Schrödinger equation. J. Comput. Phys. 541: 114349 (2025)- [j45]Marlis Hochbruck:
Survey and Review. SIAM Rev. 67(1): 1 (2025) - [j44]Marlis Hochbruck:
Survey and Review. SIAM Rev. 67(2): 211 (2025) - [j43]Marlis Hochbruck:
Survey and Review. SIAM Rev. 67(3): 413 (2025) - 2024
- [j42]Marlis Hochbruck:
Survey and Review. SIAM Rev. 66(1): 1 (2024) - [j41]Marlis Hochbruck:
Survey and Review. SIAM Rev. 66(2): 203 (2024) - [j40]Marlis Hochbruck:
Survey and Review. SIAM Rev. 66(3): 401 (2024) - [j39]Marlis Hochbruck:
Survey and Review. SIAM Rev. 66(4): 617 (2024) - 2023
- [j38]Marlis Hochbruck:
Survey and Review. SIAM Rev. 65(1): 1 (2023) - [j37]Marlis Hochbruck:
Survey and Review. SIAM Rev. 65(2): 329 (2023) - [j36]Marlis Hochbruck:
Survey and Review. SIAM Rev. 65(3): 599 (2023) - [j35]Marlis Hochbruck:
Survey and Review. SIAM Rev. 65(4): 917 (2023) - 2022
- [j34]Marlis Hochbruck, Jonas Köhler:
Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems. Numerische Mathematik 150(3): 893-927 (2022) - [j33]Benjamin Dörich
, Marlis Hochbruck:
Exponential Integrators for Quasilinear Wave-Type Equations. SIAM J. Numer. Anal. 60(3): 1472-1493 (2022) - [j32]Constantin Carle, Marlis Hochbruck:
Error Analysis of Multirate Leapfrog-Type Methods for Second-Order Semilinear Odes. SIAM J. Numer. Anal. 60(5): 2897-2924 (2022) - 2021
- [j31]Marlis Hochbruck, Jan Leibold:
An implicit-explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions. Numerische Mathematik 147(4): 869-899 (2021) - [j30]Marlis Hochbruck, Jan Leibold:
Correction to: An implicit-explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions. Numerische Mathematik 147(4): 901 (2021) - 2020
- [j29]Marlis Hochbruck, Jan Leibold, Alexander Ostermann:
On the convergence of Lawson methods for semilinear stiff problems. Numerische Mathematik 145(3): 553-580 (2020) - [j28]Constantin Carle, Marlis Hochbruck, Andreas Sturm:
On Leapfrog-Chebyshev Schemes. SIAM J. Numer. Anal. 58(4): 2404-2433 (2020) - 2019
- [j27]Marlis Hochbruck, Bernhard Maier, Christian Stohrer:
Heterogeneous Multiscale Method for Maxwell's Equations. Multiscale Model. Simul. 17(4): 1147-1171 (2019) - [j26]Marlis Hochbruck, Andreas Sturm:
Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations. Math. Comput. 88(317): 1121-1153 (2019) - 2018
- [j25]Marlis Hochbruck, Tomislav Pazur, Roland Schnaubelt:
Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations. Numerische Mathematik 138(3): 557-579 (2018) - 2017
- [j24]L. Fath, Marlis Hochbruck, C. V. Singh:
A fast mollified impulse method for biomolecular atomistic simulations. J. Comput. Phys. 333: 180-198 (2017) - [j23]Marlis Hochbruck, Tomislav Pazur:
Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations. Numerische Mathematik 135(2): 547-569 (2017) - 2016
- [j22]Marlis Hochbruck, Andreas Sturm:
Error Analysis of a Second-Order Locally Implicit Method for Linear Maxwell's Equations. SIAM J. Numer. Anal. 54(5): 3167-3191 (2016) - 2015
- [j21]Abdullah Demirel, Jens Niegemann, Kurt Busch, Marlis Hochbruck:
Efficient multiple time-stepping algorithms of higher order. J. Comput. Phys. 285: 133-148 (2015) - [j20]Marlis Hochbruck, Tobias Jahnke, Roland Schnaubelt:
Convergence of an ADI splitting for Maxwell's equations. Numerische Mathematik 129(3): 535-561 (2015) - [j19]Marlis Hochbruck, Tomislav Pazur:
Implicit Runge-Kutta Methods and Discontinuous Galerkin Discretizations for Linear Maxwell's Equations. SIAM J. Numer. Anal. 53(1): 485-507 (2015) - 2013
- [j18]Mike A. Botchev, Volker Grimm, Marlis Hochbruck:
Residual, Restarting, and Richardson Iteration for the Matrix Exponential. SIAM J. Sci. Comput. 35(3) (2013) - 2010
- [j17]Marlis Hochbruck, Alexander Ostermann:
Exponential integrators. Acta Numer. 19: 209-286 (2010) - [j16]Marlis Hochbruck, Michael Hönig:
On the convergence of a regularizing Levenberg-Marquardt scheme for nonlinear ill-posed problems. Numerische Mathematik 115(1): 71-79 (2010) - [j15]Marlis Hochbruck, Dominik Löchel:
A Multilevel Jacobi--Davidson Method for Polynomial PDE Eigenvalue Problems Arising in Plasma Physics. SIAM J. Sci. Comput. 32(6): 3151-3169 (2010) - 2008
- [j14]Jalo Liljo, Anupam Karmakar, Alexander Pukhov, Marlis Hochbruck:
One-dimensional electromagnetic relativistic PIC-hydrodynamic hybrid simulation code H-VLPL (hybrid virtual laser plasma lab). Comput. Phys. Commun. 179(6): 371-379 (2008) - [j13]Christoph Karle, Julia Schweitzer, Marlis Hochbruck, Karl-Heinz Spatschek:
A parallel implementation of a two-dimensional fluid laser-plasma integrator for stratified plasma-vacuum systems. J. Comput. Phys. 227(16): 7701-7719 (2008) - [j12]Marlis Hochbruck, Jörg Niehoff:
Approximation of matrix operators applied to multiple vectors. Math. Comput. Simul. 79(4): 1270-1283 (2008) - [j11]Marlis Hochbruck, Alexander Ostermann, Julia Schweitzer:
Exponential Rosenbrock-Type Methods. SIAM J. Numer. Anal. 47(1): 786-803 (2008) - 2006
- [j10]Christoph Karle, Julia Schweitzer, Marlis Hochbruck, Ernst-Wolfgang Laedke, Karl-Heinz Spatschek:
Numerical solution of nonlinear wave equations in stratified dispersive media. J. Comput. Phys. 216(1): 138-152 (2006) - [j9]Jasper van den Eshof, Marlis Hochbruck:
Preconditioning Lanczos Approximations to the Matrix Exponential. SIAM J. Sci. Comput. 27(4): 1438-1457 (2006) - 2005
- [j8]Marlis Hochbruck, Alexander Ostermann:
Explicit Exponential Runge-Kutta Methods for Semilinear Parabolic Problems. SIAM J. Numer. Anal. 43(3): 1069-1090 (2005) - 2003
- [j7]Marlis Hochbruck, Christian Lubich:
On Magnus Integrators for Time-Dependent Schrödinger Equations. SIAM J. Numer. Anal. 41(3): 945-963 (2003) - 1999
- [j6]Marlis Hochbruck, Christian Lubich:
A Gautschi-type method for oscillatory second-order differential equations. Numerische Mathematik 83(3): 403-426 (1999) - 1998
- [j5]Marlis Hochbruck, Christian Lubich:
Error Analysis of Krylov Methods In a Nutshell. SIAM J. Sci. Comput. 19(2): 695-701 (1998) - [j4]Marlis Hochbruck, Christian Lubich, Hubert Selhofer:
Exponential Integrators for Large Systems of Differential Equations. SIAM J. Sci. Comput. 19(5): 1552-1574 (1998) - 1996
- [j3]Bernd Fischer, Martin Hanke, Marlis Hochbruck:
A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems. Numer. Algorithms 11(1): 181-187 (1996) - 1995
- [j2]Marlis Hochbruck, Gerhard Starke:
Preconditioned Krylov Subspace Methods for Lyapunov Matrix Equations. SIAM J. Matrix Anal. Appl. 16(1): 156-171 (1995) - 1994
- [j1]Roland W. Freund, Marlis Hochbruck:
On the use of two QMR algorithms for solving singular systems and applications in Markov chain modeling. Numer. Linear Algebra Appl. 1(4): 403-420 (1994)
Parts in Books or Collections
- 1999
- [p1]Marlis Hochbruck, Christian Lubich:
A Bunch of Time Integrators for Quantum/Classical Molecular Dynamics. Computational Molecular Dynamics 1999: 421-432
Informal and Other Publications
- 2025
- [i6]Marlis Hochbruck, Malik Scheifinger:
Local time-integration for Friedrichs' systems. CoRR abs/2503.05282 (2025) - [i5]Malik Scheifinger, Kurt Busch, Marlis Hochbruck, Caroline Lasser:
Time-integration of Gaussian variational approximation for the magnetic Schrödinger equation. CoRR abs/2504.03407 (2025) - [i4]Tim Buchholz, Marlis Hochbruck:
A non-iterative domain decomposition time integrator for linear wave equations. CoRR abs/2507.19379 (2025) - 2024
- [i3]Daniel Eckhardt, Marlis Hochbruck, Barbara Verfürth:
Error analysis of an implicit-explicit time discretization scheme for semilinear wave equations with application to multiscale problems. CoRR abs/2406.19889 (2024) - [i2]Benjamin Dörich, Julian Dörner, Marlis Hochbruck:
Error analysis of DGTD for linear Maxwell equations with inhomogeneous interface conditions. CoRR abs/2408.01398 (2024) - 2023
- [i1]Selina Burkhard, Benjamin Dörich, Marlis Hochbruck, Caroline Lasser:
Variational Gaussian approximation for the magnetic Schrödinger equation. CoRR abs/2310.16734 (2023)
Coauthor Index
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