h2-Extrapolation methods for differential-algebraic systems of index 2. - Christian Lubich (IMPACT Comput. Sci. Eng., 1989)

Rosenbrock methods for differential-algebraic systems with solution-dependent singular matrix multiplying the derivative. - Christian Lubich; Michel Roche (Computing, 1990)

Extrapolation integrators for constrained multibody systems. - Christian Lubich (IMPACT Comput. Sci. Eng., 1991)

Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term. - Christian Lubich; Ian H. Sloan; Vidar Thomée (Math. Comput., 1996)

Multirate Extrapolation Methods for Differential Equations with Different Time Scales. - Ch. Engstler; Christian Lubich (Computing, 1997)

Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization. - Christian Lubich; Alexander Ostermann (Numerische Mathematik, 1998)

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)

Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations. - Ernst Hairer; Christian Lubich (SIAM J. Numer. Anal., 2000)

Fast Convolution for Nonreflecting Boundary Conditions. - Christian Lubich; Achim Schädle (SIAM J. Sci. Comput., 2002)

Modulated Fourier Expansions of Highly Oscillatory Differential Equations. - David Cohen; Ernst Hairer; Christian Lubich (Found. Comput. Math., 2003)

Numerical integrators for quantum dynamics close to the adiabatic limit. - Tobias Jahnke; Christian Lubich (Numerische Mathematik, 2003)

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

Symmetric multistep methods over long times. - Ernst Hairer; Christian Lubich (Numerische Mathematik, 2004)

On variational approximations in quantum molecular dynamics. - Christian Lubich (Math. Comput., 2005)

Fast Runge-Kutta approximation of inhomogeneous parabolic equations. - María López-Fernández; Christian Lubich; Cesar Palencia; Achim Schädle (Numerische Mathematik, 2005)

Convolution quadrature time discretization of fractional diffusion-wave equations. - Eduardo Cuesta; Christian Lubich; Cesar Palencia (Math. Comput., 2006)

Fast and Oblivious Convolution Quadrature. - Achim Schädle; María López-Fernández; Christian Lubich (SIAM J. Sci. Comput., 2006)

Dynamical Low-Rank Approximation. - Othmar Koch; Christian Lubich (SIAM J. Matrix Anal. Appl., 2007)

Spectral Semi-discretisations of Weakly Non-linear Wave Equations over Long Times. - Ernst Hairer; Christian Lubich (Found. Comput. Math., 2008)

Dynamical low-rank approximation: applications and numerical experiments. - Achim Nonnenmacher; Christian Lubich (Math. Comput. Simul., 2008)

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

Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations. - David Cohen; Ernst Hairer; Christian Lubich (Numerische Mathematik, 2008)

Adaptive, Fast, and Oblivious Convolution in Evolution Equations with Memory. - María López-Fernández; Christian Lubich; Achim Schädle (SIAM J. Sci. Comput., 2008)

Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers. - Sören Bartels; Christian Lubich; Andreas Prohl (Math. Comput., 2009)

Computing Semiclassical Quantum Dynamics with Hagedorn Wavepackets. - Erwan Faou; Vasile Gradinaru; Christian Lubich (SIAM J. Sci. Comput., 2009)

Nonlinear Schrödinger Equations and Their Spectral Semi-Discretizations Over Long Times. - Ludwig Gauckler; Christian Lubich (Found. Comput. Math., 2010)

Splitting Integrators for Nonlinear Schrödinger Equations Over Long Times. - Ludwig Gauckler; Christian Lubich (Found. Comput. Math., 2010)

Dynamical Tensor Approximation. - Othmar Koch; Christian Lubich (SIAM J. Matrix Anal. Appl., 2010)

Runge-Kutta convolution quadrature for operators arising in wave propagation. - Lehel Banjai; Christian Lubich; Jens Markus Melenk (Numerische Mathematik, 2011)

Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking. - Nicola Guglielmi; Christian Lubich (SIAM J. Numer. Anal., 2011)

Erratum/Addendum: Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking. - Nicola Guglielmi; Christian Lubich (SIAM J. Numer. Anal., 2012)

Operator splitting for partial differential equations with Burgers nonlinearity. - Helge Holden; Christian Lubich; Nils Henrik Risebro (Math. Comput., 2013)

Symmetric multistep methods for constrained Hamiltonian systems. - Paola Console; Ernst Hairer; Christian Lubich (Numerische Mathematik, 2013)

Interior a posteriori error estimates for time discrete approximations of parabolic problems. - Christian Lubich; Charalambos G. Makridakis (Numerische Mathematik, 2013)

Low-Rank Dynamics for Computing Extremal Points of Real Pseudospectra. - Nicola Guglielmi; Christian Lubich (SIAM J. Matrix Anal. Appl., 2013)

Dynamical Approximation by Hierarchical Tucker and Tensor-Train Tensors. - Christian Lubich; Thorsten Rohwedder; Reinhold Schneider; Bart Vandereycken (SIAM J. Matrix Anal. Appl., 2013)

Numerical Integrators for Motion under a Strong Constraining Force. - Christian Lubich; Daniel Weiss (Multiscale Model. Simul., 2014)

Computing Extremal Points of Symplectic Pseudospectra and Solving Symplectic Matrix Nearness Problems. - Nicola Guglielmi; Daniel Kressner; Christian Lubich (SIAM J. Matrix Anal. Appl., 2014)

Variational discretization of wave equations on evolving surfaces. - Christian Lubich; Dhia Mansour (Math. Comput., 2015)

Fully implicit, linearly implicit and implicit-explicit backward difference formulae for quasi-linear parabolic equations. - Georgios Akrivis; Christian Lubich (Numerische Mathematik, 2015)

Stable numerical coupling of exterior and interior problems for the wave equation. - Lehel Banjai; Christian Lubich; Francisco-Javier Sayas (Numerische Mathematik, 2015)

Low rank differential equations for Hamiltonian matrix nearness problems. - Nicola Guglielmi; Daniel Kressner; Christian Lubich (Numerische Mathematik, 2015)

Time Integration of Tensor Trains. - Christian Lubich; Ivan V. Oseledets; Bart Vandereycken (SIAM J. Numer. Anal., 2015)

Long-term analysis of the Störmer-Verlet method for Hamiltonian systems with a solution-dependent high frequency. - Ernst Hairer; Christian Lubich (Numerische Mathematik, 2016)

Discretized Dynamical Low-Rank Approximation in the Presence of Small Singular Values. - Emil Kieri; Christian Lubich; Hanna Walach (SIAM J. Numer. Anal., 2016)

A-Stable Time Discretizations Preserve Maximal Parabolic Regularity. - Balázs Kovács; Buyang Li; Christian Lubich (SIAM J. Numer. Anal., 2016)

Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations. - Georgios Akrivis; Buyang Li; Christian Lubich (Math. Comput., 2017)

Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. - Balázs Kovács; Christian Lubich (Numerische Mathematik, 2017)

Convergence of finite elements on an evolving surface driven by diffusion on the surface. - Balázs Kovács; Buyang Li; Christian Lubich; Christian A. Power Guerra (Numerische Mathematik, 2017)

On the Nearest Singular Matrix Pencil. - Nicola Guglielmi; Christian Lubich; Volker Mehrmann (SIAM J. Matrix Anal. Appl., 2017)

Matrix Stabilization Using Differential Equations. - Nicola Guglielmi; Christian Lubich (SIAM J. Numer. Anal., 2017)

Runge-Kutta Time Discretization of Nonlinear Parabolic Equations Studied via Discrete Maximal Parabolic Regularity. - Peer Christian Kunstmann; Buyang Li; Christian Lubich (Found. Comput. Math., 2018)

Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type. - Balázs Kovács; Christian Lubich (Numerische Mathematik, 2018)

Linearly implicit full discretization of surface evolution. - Balázs Kovács; Christian Lubich (Numerische Mathematik, 2018)

Time Integration of Rank-Constrained Tucker Tensors. - Christian Lubich; Bart Vandereycken; Hanna Walach (SIAM J. Numer. Anal., 2018)

A Low-Rank Projector-Splitting Integrator for the Vlasov-Poisson Equation. - Lukas Einkemmer; Christian Lubich (SIAM J. Sci. Comput., 2018)

Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors. - Gianluca Ceruti; Christian Lubich (CoRR, 2019)

A convergent algorithm for mean curvature flow driven by diffusion on the surface. - Balázs Kovács; Buyang Li; Christian Lubich (CoRR, 2019)

A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. - Balázs Kovács; Buyang Li; Christian Lubich (Numerische Mathematik, 2019)

Constrained Graph Partitioning via Matrix Differential Equations. - Eleonora Andreotti; Dominik Edelmann; Nicola Guglielmi; Christian Lubich (SIAM J. Matrix Anal. Appl., 2019)

A Quasi-Conservative Dynamical Low-Rank Algorithm for the Vlasov Equation. - Lukas Einkemmer; Christian Lubich (SIAM J. Sci. Comput., 2019)

Computing quantum dynamics in the semiclassical regime. - Caroline Lasser; Christian Lubich (Acta Numer., 2020)

Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature. - Lehel Banjai; Christian Lubich; Joerg Nick (CoRR, 2020)

An unconventional robust integrator for dynamical low-rank approximation. - Gianluca Ceruti; Christian Lubich (CoRR, 2020)

A passivation algorithm for linear time-invariant systems. - Antonio Fazzi; Nicola Guglielmi; Christian Lubich (CoRR, 2020)

Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field. - Ernst Hairer; Christian Lubich (Numerische Mathematik, 2020)

A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. - Ernst Hairer; Christian Lubich; Bin Wang 016 (Numerische Mathematik, 2020)

A rank-adaptive robust integrator for dynamical low-rank approximation. - Gianluca Ceruti; Jonas Kusch; Christian Lubich (CoRR, 2021)

Higher-order linearly implicit full discretization of the Landau-Lifshitz-Gilbert equation. - Georgios Akrivis; Michael Feischl; Balázs Kovács; Christian Lubich (Math. Comput., 2021)

A convergent evolving finite element algorithm for Willmore flow of closed surfaces. - Balázs Kovács; Buyang Li; Christian Lubich (Numerische Mathematik, 2021)

Correction to: Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. - Jörg Nick; Balázs Kovács; Christian Lubich (Numerische Mathematik, 2021)

Finding the Nearest Passive or Nonpassive System via Hamiltonian Eigenvalue Optimization. - Antonio Fazzi; Nicola Guglielmi; Christian Lubich (SIAM J. Matrix Anal. Appl., 2021)

Time Integration of Tree Tensor Networks. - Gianluca Ceruti; Christian Lubich; Hanna Walach (SIAM J. Numer. Anal., 2021)

On a large-stepsize integrator for charged-particle dynamics. - Christian Lubich; Yanyan Shi (CoRR, 2022)

Large-stepsize integrators for charged-particle dynamics over multiple time scales. - Ernst Hairer; Christian Lubich; Yanyan Shi (Numerische Mathematik, 2022)

Time-dependent electromagnetic scattering from thin layers. - Jörg Nick; Balázs Kovács; Christian Lubich (Numerische Mathematik, 2022)

Time-dependent electromagnetic scattering from dispersive materials. - Jörg Nick; Selina Burkhard; Christian Lubich (CoRR, 2023)

Rank-Adaptive Time Integration of Tree Tensor Networks. - Gianluca Ceruti; Christian Lubich; Dominik Sulz (SIAM J. Numer. Anal., 2023)

Rank-1 Matrix Differential Equations for Structured Eigenvalue Optimization. - Nicola Guglielmi; Christian Lubich; Stefano Sicilia (SIAM J. Numer. Anal., 2023)

Leapfrog Methods for Relativistic Charged-Particle Dynamics. - Ernst Hairer; Christian Lubich; Yanyan Shi (SIAM J. Numer. Anal., 2023)

Numerical analysis of an evolving bulk-surface model of tumour growth. - Dominik Edelmann; Balázs Kovács; Christian Lubich (CoRR, 2024)

A robust second-order low-rank BUG integrator based on the midpoint rule. - Gianluca Ceruti; Lukas Einkemmer; Jonas Kusch; Christian Lubich (CoRR, 2024)

Regularized dynamical parametric approximation. - Michael Feischl; Caroline Lasser; Christian Lubich; Jörg Nick (CoRR, 2024)

A parallel Basis Update and Galerkin Integrator for Tree Tensor Networks. - Gianluca Ceruti; Jonas Kusch; Christian Lubich; Dominik Sulz (CoRR, 2024)

A Parallel Rank-Adaptive Integrator for Dynamical Low-Rank Approximation. - Gianluca Ceruti; Jonas Kusch; Christian Lubich (SIAM J. Sci. Comput., 2024)

Polarized High-frequency Wave Propagation Beyond the Nonlinear Schrödinger Approximation. - Julian Baumstark; Tobias Jahnke; Christian Lubich (SIAM J. Math. Anal., 2024)

Transient Dynamics Under Structured Perturbations: Bridging Unstructured and Structured Pseudospectra. - Nicola Guglielmi; Christian Lubich (SIAM J. Numer. Anal., 2025)

Regularized dynamical parametric approximation of stiff evolution problems. - Christian Lubich; Jörg Nick (CoRR, 2025)

Matrix nearness problems and eigenvalue optimization. - Nicola Guglielmi; Christian Lubich (CoRR, 2025)

A filtered finite difference method for a highly oscillatory nonlinear Klein-Gordon equation. - Yanyan Shi; Christian Lubich (CoRR, 2025)

Weighted finite difference methods for the semiclassical nonlinear Schrödinger equation with multiphase oscillatory initial data. - Yanyan Shi; Christian Lubich (CoRR, 2025)