Christian Lubich

According to our database1, Christian Lubich authored at least 74 papers between 1989 and 2021.

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

Timeline

Legend:

Book 
In proceedings 
Article 
PhD thesis 
Other 

Links

Online presence:

On csauthors.net:

Bibliography

2021
Time Integration of Tree Tensor Networks.
SIAM J. Numer. Anal., 2021

Time-dependent electromagnetic scattering from thin layers.
CoRR, 2021

Large-stepsize integrators for charged-particle dynamics over multiple time scales.
CoRR, 2021

2020
A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field.
Numerische Mathematik, 2020

Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field.
Numerische Mathematik, 2020

A passivation algorithm for linear time-invariant systems.
CoRR, 2020

An unconventional robust integrator for dynamical low-rank approximation.
CoRR, 2020

A convergent evolving finite element algorithm for Willmore flow of closed surfaces.
CoRR, 2020

Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature.
CoRR, 2020

Computing quantum dynamics in the semiclassical regime.
Acta Numer., 2020

2019
A Quasi-Conservative Dynamical Low-Rank Algorithm for the Vlasov Equation.
SIAM J. Sci. Comput., 2019

Constrained Graph Partitioning via Matrix Differential Equations.
SIAM J. Matrix Anal. Appl., 2019

A convergent evolving finite element algorithm for mean curvature flow of closed surfaces.
Numerische Mathematik, 2019

A convergent algorithm for mean curvature flow driven by diffusion on the surface.
CoRR, 2019

Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors.
CoRR, 2019

2018
A Low-Rank Projector-Splitting Integrator for the Vlasov-Poisson Equation.
SIAM J. Sci. Comput., 2018

Time Integration of Rank-Constrained Tucker Tensors.
SIAM J. Numer. Anal., 2018

Linearly implicit full discretization of surface evolution.
Numerische Mathematik, 2018

Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type.
Numerische Mathematik, 2018

Runge-Kutta Time Discretization of Nonlinear Parabolic Equations Studied via Discrete Maximal Parabolic Regularity.
Found. Comput. Math., 2018

2017
Matrix Stabilization Using Differential Equations.
SIAM J. Numer. Anal., 2017

On the Nearest Singular Matrix Pencil.
SIAM J. Matrix Anal. Appl., 2017

Convergence of finite elements on an evolving surface driven by diffusion on the surface.
Numerische Mathematik, 2017

Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations.
Numerische Mathematik, 2017

Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations.
Math. Comput., 2017

2016
A-Stable Time Discretizations Preserve Maximal Parabolic Regularity.
SIAM J. Numer. Anal., 2016

Discretized Dynamical Low-Rank Approximation in the Presence of Small Singular Values.
SIAM J. Numer. Anal., 2016

Long-term analysis of the Störmer-Verlet method for Hamiltonian systems with a solution-dependent high frequency.
Numerische Mathematik, 2016

2015
Time Integration of Tensor Trains.
SIAM J. Numer. Anal., 2015

Low rank differential equations for Hamiltonian matrix nearness problems.
Numerische Mathematik, 2015

Stable numerical coupling of exterior and interior problems for the wave equation.
Numerische Mathematik, 2015

Fully implicit, linearly implicit and implicit-explicit backward difference formulae for quasi-linear parabolic equations.
Numerische Mathematik, 2015

Variational discretization of wave equations on evolving surfaces.
Math. Comput., 2015

2014
Computing Extremal Points of Symplectic Pseudospectra and Solving Symplectic Matrix Nearness Problems.
SIAM J. Matrix Anal. Appl., 2014

Numerical Integrators for Motion under a Strong Constraining Force.
Multiscale Model. Simul., 2014

2013
Dynamical Approximation by Hierarchical Tucker and Tensor-Train Tensors.
SIAM J. Matrix Anal. Appl., 2013

Low-Rank Dynamics for Computing Extremal Points of Real Pseudospectra.
SIAM J. Matrix Anal. Appl., 2013

Interior a posteriori error estimates for time discrete approximations of parabolic problems.
Numerische Mathematik, 2013

Symmetric multistep methods for constrained Hamiltonian systems.
Numerische Mathematik, 2013

Operator splitting for partial differential equations with Burgers nonlinearity.
Math. Comput., 2013

2012
Erratum/Addendum: Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking.
SIAM J. Numer. Anal., 2012

2011
Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking.
SIAM J. Numer. Anal., 2011

Runge-Kutta convolution quadrature for operators arising in wave propagation.
Numerische Mathematik, 2011

2010
Dynamical Tensor Approximation.
SIAM J. Matrix Anal. Appl., 2010

Splitting Integrators for Nonlinear Schrödinger Equations Over Long Times.
Found. Comput. Math., 2010

Nonlinear Schrödinger Equations and Their Spectral Semi-Discretizations Over Long Times.
Found. Comput. Math., 2010

2009
Computing Semiclassical Quantum Dynamics with Hagedorn Wavepackets.
SIAM J. Sci. Comput., 2009

Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers.
Math. Comput., 2009

2008
Adaptive, Fast, and Oblivious Convolution in Evolution Equations with Memory.
SIAM J. Sci. Comput., 2008

Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations.
Numerische Mathematik, 2008

On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations.
Math. Comput., 2008

Dynamical low-rank approximation: applications and numerical experiments.
Math. Comput. Simul., 2008

Spectral Semi-discretisations of Weakly Non-linear Wave Equations over Long Times.
Found. Comput. Math., 2008

2007
Dynamical Low-Rank Approximation.
SIAM J. Matrix Anal. Appl., 2007

2006
Fast and Oblivious Convolution Quadrature.
SIAM J. Sci. Comput., 2006

Convolution quadrature time discretization of fractional diffusion-wave equations.
Math. Comput., 2006

2005
Fast Runge-Kutta approximation of inhomogeneous parabolic equations.
Numerische Mathematik, 2005

On variational approximations in quantum molecular dynamics.
Math. Comput., 2005

2004
Symmetric multistep methods over long times.
Numerische Mathematik, 2004

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

Numerical integrators for quantum dynamics close to the adiabatic limit.
Numerische Mathematik, 2003

Modulated Fourier Expansions of Highly Oscillatory Differential Equations.
Found. Comput. Math., 2003

2002
Fast Convolution for Nonreflecting Boundary Conditions.
SIAM J. Sci. Comput., 2002

2000
Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations.
SIAM J. Numer. Anal., 2000

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

Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization.
Numerische Mathematik, 1998

1997
Multirate Extrapolation Methods for Differential Equations with Different Time Scales.
Computing, 1997

1996
Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term.
Math. Comput., 1996

1991
Extrapolation integrators for constrained multibody systems.
IMPACT Comput. Sci. Eng., 1991

1990
Rosenbrock methods for differential-algebraic systems with solution-dependent singular matrix multiplying the derivative.
Computing, 1990

1989
h<sup>2</sup>-Extrapolation methods for differential-algebraic systems of index 2.
IMPACT Comput. Sci. Eng., 1989


  Loading...