Marlis Hochbruck

Orcid: 0000-0002-5968-0480

Affiliations:
  • Karlsruhe Institute of Technology, Germany


According to our database1, Marlis Hochbruck authored at least 39 papers between 1994 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Error analysis of DGTD for linear Maxwell equations with inhomogeneous interface conditions.
CoRR, 2024

Error analysis of an implicit-explicit time discretization scheme for semilinear wave equations with application to multiscale problems.
CoRR, 2024

2023
Survey and Review.
SIAM Rev., February, 2023

Variational Gaussian approximation for the magnetic Schrödinger equation.
CoRR, 2023

2022
Error Analysis of Multirate Leapfrog-Type Methods for Second-Order Semilinear Odes.
SIAM J. Numer. Anal., October, 2022

Exponential Integrators for Quasilinear Wave-Type Equations.
SIAM J. Numer. Anal., 2022

Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems.
Numerische Mathematik, 2022

2021
Correction to: An implicit-explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions.
Numerische Mathematik, 2021

An implicit-explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions.
Numerische Mathematik, 2021

2020
On Leapfrog-Chebyshev Schemes.
SIAM J. Numer. Anal., 2020

On the convergence of Lawson methods for semilinear stiff problems.
Numerische Mathematik, 2020

2019
Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations.
Math. Comput., 2019

Heterogeneous Multiscale Method for Maxwell's Equations.
Multiscale Model. Simul., 2019

2018
Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations.
Numerische Mathematik, 2018

2017
Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations.
Numerische Mathematik, 2017

A fast mollified impulse method for biomolecular atomistic simulations.
J. Comput. Phys., 2017

2016
Error Analysis of a Second-Order Locally Implicit Method for Linear Maxwell's Equations.
SIAM J. Numer. Anal., 2016

2015
Implicit Runge-Kutta Methods and Discontinuous Galerkin Discretizations for Linear Maxwell's Equations.
SIAM J. Numer. Anal., 2015

Convergence of an ADI splitting for Maxwell's equations.
Numerische Mathematik, 2015

Efficient multiple time-stepping algorithms of higher order.
J. Comput. Phys., 2015

2013
Residual, Restarting, and Richardson Iteration for the Matrix Exponential.
SIAM J. Sci. Comput., 2013

2010
A Multilevel Jacobi--Davidson Method for Polynomial PDE Eigenvalue Problems Arising in Plasma Physics.
SIAM J. Sci. Comput., 2010

On the convergence of a regularizing Levenberg-Marquardt scheme for nonlinear ill-posed problems.
Numerische Mathematik, 2010

Exponential integrators.
Acta Numer., 2010

2008
Exponential Rosenbrock-Type Methods.
SIAM J. Numer. Anal., 2008

Approximation of matrix operators applied to multiple vectors.
Math. Comput. Simul., 2008

A parallel implementation of a two-dimensional fluid laser-plasma integrator for stratified plasma-vacuum systems.
J. Comput. Phys., 2008

One-dimensional electromagnetic relativistic PIC-hydrodynamic hybrid simulation code H-VLPL (hybrid virtual laser plasma lab).
Comput. Phys. Commun., 2008

2006
Preconditioning Lanczos Approximations to the Matrix Exponential.
SIAM J. Sci. Comput., 2006

Numerical solution of nonlinear wave equations in stratified dispersive media.
J. Comput. Phys., 2006

2005
Explicit Exponential Runge-Kutta Methods for Semilinear Parabolic Problems.
SIAM J. Numer. Anal., 2005

2003
On Magnus Integrators for Time-Dependent Schrödinger Equations.
SIAM J. Numer. Anal., 2003

1999
A Gautschi-type method for oscillatory second-order differential equations.
Numerische Mathematik, 1999

A Bunch of Time Integrators for Quantum/Classical Molecular Dynamics.
Proceedings of the Computational Molecular Dynamics: Challenges, Methods, Ideas, 1999

1998
Exponential Integrators for Large Systems of Differential Equations.
SIAM J. Sci. Comput., 1998

Error Analysis of Krylov Methods In a Nutshell.
SIAM J. Sci. Comput., 1998

1996
A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems.
Numer. Algorithms, 1996

1995
Preconditioned Krylov Subspace Methods for Lyapunov Matrix Equations.
SIAM J. Matrix Anal. Appl., 1995

1994
On the use of two QMR algorithms for solving singular systems and applications in Markov chain modeling.
Numer. Linear Algebra Appl., 1994


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