Marlis Hochbruck | Academic Influence

Marlis Hochbruck's AcademicInfluence.com Rankings

Marlis Hochbruck

Mathematics

#4026

World Rank

#5801

Historical Rank

Measure Theory

#2346

World Rank

#2805

Historical Rank

mathematics Degrees

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Mathematics

Marlis Hochbruck's Degrees

PhD Mathematics University of Kaiserslautern-Landau

Why Is Marlis Hochbruck Influential?

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According to Wikipedia, Marlis Hochbruck is a German applied mathematician and numerical analyst known for her research on matrix exponentials, exponential integrators, and their applications to the numerical solution of differential equations. She is a professor in the Institute for Applied and Numerical Mathematics at the Karlsruhe Institute of Technology.

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Marlis Hochbruck's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Geometric Numerical Integration (2022) (1060)
Exponential integrators (2010) (843)
On Krylov Subspace Approximations to the Matrix Exponential Operator (1997) (813)
Exponential Integrators for Large Systems of Differential Equations (1998) (542)
Explicit Exponential Runge-Kutta Methods for Semilinear Parabolic Problems (2005) (376)
A Gautschi-type method for oscillatory second-order differential equations (1999) (245)
Preconditioning Lanczos Approximations to the Matrix Exponential (2005) (219)
Exponential Rosenbrock-Type Methods (2008) (211)
Exponential Runge--Kutta methods for parabolic problems (2005) (176)
On Magnus Integrators for Time-Dependent Schrödinger Equations (2003) (121)
Error analysis of exponential integrators for oscillatory second-order differential equations (2006) (98)
Exponential Integrators for Quantum-Classical Molecular Dynamics (1999) (80)
Exponential multistep methods of Adams-type (2011) (79)
On the use of two QMR algorithms for solving singular systems and applications in Markov chain modeling (1994) (78)
Residual, Restarting, and Richardson Iteration for the Matrix Exponential (2011) (76)
Preconditioned Krylov Subspace Methods for Lyapunov Matrix Equations (1995) (55)
Efficient time integration for discontinuous Galerkin approximations of linear wave equations (2015) (54)
Convergence of an ADI splitting for Maxwell’s equations (2015) (43)
Error Analysis of a Second-Order Locally Implicit Method for Linear Maxwell's Equations (2016) (42)
Rational approximation to trigonometric operators (2008) (37)
Error Analysis of Krylov Methods In a Nutshell (1998) (36)
Implicit Runge-Kutta Methods and Discontinuous Galerkin Discretizations for Linear Maxwell's Equations (2015) (32)
The stability of inversion formulas for Toeplitz matrices (1995) (28)
A CHEBYSHEV-LIKE SEMIITERATION FOR INCONSISTENT LINEAR SYSTEMS (1993) (27)
Subspace extraction for matrix functions (2005) (26)
Gauss Quadratures Associated with the Arnoldi Process and the Lanczos Algorithm (1993) (23)
LOOK-AHEAD LEVINSON- AND SCHUR-TYPE RECURRENCES IN THE PAD ET ABLE (1994) (20)
A Bunch of Time Integrators for Quantum/Classical Molecular Dynamics (1999) (20)
Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations (2017) (18)
A convergence analysis of the exponential Euler iteration for nonlinear ill-posed problems (2009) (18)
Efficient multiple time-stepping algorithms of higher order (2015) (18)
Unified error analysis for nonconforming space discretizations of wave-type equations (2018) (17)
On the convergence of a regularizing Levenberg–Marquardt scheme for nonlinear ill-posed problems (2010) (15)
A short course on exponential integrators (2013) (14)
A short course on exponential integrators (2013) (14)
Optimized look-ahead recurrences for adjacent rows in the Padé table (1996) (13)
A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems (1996) (11)
Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations (2018) (11)
Three-Dimensional Relativistic Particle-in-Cell Hybrid Code Based on an Exponential Integrator (2010) (11)
A Multilevel Jacobi--Davidson Method for Polynomial PDE Eigenvalue Problems Arising in Plasma Physics (2010) (11)
On the convergence of Lawson methods for semilinear stiff problems (2017) (10)
On the Efficiency of the Peaceman–Rachford ADI-dG Method for Wave-Type Problems (2017) (9)
Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions (2020) (9)
Approximation of matrix operators applied to multiple vectors (2008) (9)
Numerical solution of nonlinear wave equations in stratified dispersive media (2006) (9)
Error analysis for space discretizations of quasilinear wave-type equations (2021) (9)
Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations (2018) (9)
A parallel implementation of a two-dimensional fluid laser-plasma integrator for stratified plasma-vacuum systems (2008) (8)
Regularization of nonlinear ill-posed problems by exponential integrators (2009) (7)
On Leapfrog-Chebyshev Schemes (2020) (7)
One-dimensional electromagnetic relativistic PIC-hydrodynamic hybrid simulation code H-VLPL (hybrid virtual laser plasma lab) (2008) (6)
Heterogeneous multiscale method for Maxwell’s equations (2018) (6)
Heterogeneous Multiscale Method for Maxwell's Equations (2019) (6)
Error analysis of implicit Runge–Kutta methods for quasilinear hyperbolic evolution equations (2018) (6)
Experiments with Krylov subspace methods on a massively parallel computer (1993) (6)
Convergence of viscoelastic constraints to nonholonomic idealization (2016) (5)
Finite Element Heterogeneous Multiscale Method for Time-Dependent Maxwell’s Equations (2017) (5)
A biconjugate gradient type algorithm on massively parallel architectures (1991) (4)
Effect of poloidal inhomogeneity in plasma parameters on edge anomalous transport (2009) (4)
An implicit–explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions (2021) (4)
Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems (2022) (3)
Analytical and numerical analysis of linear and nonlinear properties of an rf-SQUID based metasurface (2018) (3)
BIT Numerical Mathematics: Editorial (2005) (3)
On averaged exponential integrators for semilinear wave equations with solutions of low-regularity (2021) (2)
Dynamical low-rank integrators for second-order matrix differential equations (2023) (2)
Error Analysis of Discontinuous Galerkin Discretizations of a Class of Linear Wave-type Problems (2020) (2)
Rank-adaptive dynamical low-rank integrators for first-order and second-order matrix differential equations (2023) (2)
ON KRYLOV SUBSPACE APPROXIMATIONS TO THEMATRIX EXPONENTIAL OPERATORMARLIS (2010) (1)
Further optimized look-ahead recurrences for adjacent rows in the Padé table and Toeplitz matrix factorizations (1997) (1)
Exponential Integrators for Quasilinear Wave-Type Equations (2022) (1)
Unified error analysis for non-conforming space discretizations ofwave-type equations (2017) (1)
Mathematisches Forschungsinstitut Oberwolfach Report No . 5 / 2019 DOI : 10 . 4171 / OWR / 2019 / 5 Nonlinear Evolution Equations : Analysis and Numerics (2019) (0)
Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations (2016) (0)
Further optimized lookahead recurrences foradjacent rows in the Pad e table and Toeplitzmatrix factorizationsMarlis (2010) (0)
Error analysis of implicit Euler methods for quasilinear hyperbolic evolution sys-tems (2016) (0)
Error analysis of non-conforming FE methods for wave-type problems and its application to heterogeneous multiscale methods (2017) (0)
Error Analysis of Multirate Leapfrog-Type Methods for Second-Order Semilinear Odes (2022) (0)
Convergence of an ADI splitting for Maxwell’s equations (2014) (0)
EXPONENTIAL INTEGRATORS FORQUANTUM-CLASSICAL MOLECULAR DYNAMICSMARLIS (2010) (0)
Correction to: An implicit–explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions (2021) (0)
Nonlinear Evolution Equations: Analysis and Numerics (2014) (0)
A NUMERICAL COMPARISON OF LOOKAHEAD LEVINSON ANDSCHUR ALGORITHMS FOR NON-HERMITIAN TOEPLITZSYSTEMSMARLIS (2010) (0)
On the efficiency of the Peaceman-Rachford ADI-dG method forwave-type methods (2017) (0)
Survey and Review (2023) (0)
A fast mollified impulse method for biomolecular atomistic simulations (2017) (0)
On the convergence of Lawson methods for semilinear stiff problems (2020) (0)
Preconditioned implicit time integration schemes for Maxwell’s equations on locally reﬁned grids (2022) (0)
Error analysis of implicit Runge–Kutta methods for quasilinear hyperbolic evolution equations (2017) (0)
A multilevel Jacobi-Davidson method for polynomial eigenvalue pde problems (2009) (0)

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