Christian Lubich

Publication Activity (10 Years)

Years Active: 1989-2024
Publications (10 Years): 53

Top Topics

Singular Values

Differential Equations

Top Venues

Numerische Mathematik

SIAM J. Numer. Anal.

SIAM J. Matrix Anal. Appl.

Publications

Gianluca Ceruti, Jonas Kusch, Christian Lubich
A Parallel Rank-Adaptive Integrator for Dynamical Low-Rank Approximation. SIAM J. Sci. Comput. 46 (3) (2024)
Julian Baumstark, Tobias Jahnke, Christian Lubich
Polarized High-frequency Wave Propagation Beyond the Nonlinear Schrödinger Approximation. SIAM J. Math. Anal. 56 (1) (2024)
Michael Feischl, Caroline Lasser, Christian Lubich, Jörg Nick
Regularized dynamical parametric approximation. CoRR (2024)
Christian Lubich, Nicola Guglielmi
Transient dynamics under structured perturbations: bridging unstructured and structured pseudospectra. CoRR (2024)
Dominik Edelmann, Balázs Kovács, Christian Lubich
Numerical analysis of an evolving bulk-surface model of tumour growth. CoRR (2024)
Gianluca Ceruti, Lukas Einkemmer, Jonas Kusch, Christian Lubich
A robust second-order low-rank BUG integrator based on the midpoint rule. CoRR (2024)
Jörg Nick, Selina Burkhard, Christian Lubich
Time-dependent electromagnetic scattering from dispersive materials. CoRR (2023)
Ernst Hairer, Christian Lubich, Yanyan Shi
Leapfrog methods for relativistic charged-particle dynamics. CoRR (2023)
Nicola Guglielmi, Christian Lubich, Stefano Sicilia
Rank-1 Matrix Differential Equations for Structured Eigenvalue Optimization. SIAM J. Numer. Anal. 61 (4) (2023)
Ernst Hairer, Christian Lubich, Yanyan Shi
Leapfrog Methods for Relativistic Charged-Particle Dynamics. SIAM J. Numer. Anal. 61 (6) (2023)
Gianluca Ceruti, Christian Lubich, Dominik Sulz
Rank-Adaptive Time Integration of Tree Tensor Networks. SIAM J. Numer. Anal. 61 (1) (2023)
Gianluca Ceruti, Jonas Kusch, Christian Lubich
A parallel rank-adaptive integrator for dynamical low-rank approximation. CoRR (2023)
Nicola Guglielmi, Christian Lubich, Stefano Sicilia
Rank-1 matrix differential equations for structured eigenvalue optimization. CoRR (2022)
Ernst Hairer, Christian Lubich, Yanyan Shi
Large-stepsize integrators for charged-particle dynamics over multiple time scales. Numerische Mathematik 151 (3) (2022)
Gianluca Ceruti, Christian Lubich, Dominik Sulz
Rank-adaptive time integration of tree tensor networks. CoRR (2022)
Jörg Nick, Balázs Kovács, Christian Lubich
Time-dependent electromagnetic scattering from thin layers. Numerische Mathematik 150 (4) (2022)
Christian Lubich, Yanyan Shi
On a large-stepsize integrator for charged-particle dynamics. CoRR (2022)
Gianluca Ceruti, Christian Lubich, Hanna Walach
Time Integration of Tree Tensor Networks. SIAM J. Numer. Anal. 59 (1) (2021)
Gianluca Ceruti, Jonas Kusch, Christian Lubich
A rank-adaptive robust integrator for dynamical low-rank approximation. CoRR (2021)
Jörg Nick, Balázs Kovács, Christian Lubich
Time-dependent electromagnetic scattering from thin layers. CoRR (2021)
Jörg Nick, Balázs Kovács, Christian Lubich
Correction to: Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. Numerische Mathematik 147 (4) (2021)
Georgios Akrivis, Michael Feischl, Balázs Kovács, Christian Lubich
Higher-order linearly implicit full discretization of the Landau-Lifshitz-Gilbert equation. Math. Comput. 90 (329) (2021)
Balázs Kovács, Buyang Li, Christian Lubich
A convergent evolving finite element algorithm for Willmore flow of closed surfaces. Numerische Mathematik 149 (3) (2021)
Ernst Hairer, Christian Lubich, Yanyan Shi
Large-stepsize integrators for charged-particle dynamics over multiple time scales. CoRR (2021)
Antonio Fazzi, Nicola Guglielmi, Christian Lubich
Finding the Nearest Passive or Nonpassive System via Hamiltonian Eigenvalue Optimization. SIAM J. Matrix Anal. Appl. 42 (4) (2021)
Gianluca Ceruti, Christian Lubich, Hanna Walach
Time integration of tree tensor networks. CoRR (2020)
Caroline Lasser, Christian Lubich
Computing quantum dynamics in the semiclassical regime. Acta Numer. 29 (2020)
Balázs Kovács, Buyang Li, Christian Lubich
A convergent evolving finite element algorithm for Willmore flow of closed surfaces. CoRR (2020)
Caroline Lasser, Christian Lubich
Computing quantum dynamics in the semiclassical regime. CoRR (2020)
Gianluca Ceruti, Christian Lubich
An unconventional robust integrator for dynamical low-rank approximation. CoRR (2020)
Antonio Fazzi, Nicola Guglielmi, Christian Lubich
A passivation algorithm for linear time-invariant systems. CoRR (2020)
Ernst Hairer, Christian Lubich, Bin Wang
A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. Numerische Mathematik 144 (4) (2020)
Ernst Hairer, Christian Lubich
Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field. Numerische Mathematik 144 (3) (2020)
Lehel Banjai, Christian Lubich, Joerg Nick
Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature. CoRR (2020)
Eleonora Andreotti, Dominik Edelmann, Nicola Guglielmi, Christian Lubich
Constrained Graph Partitioning via Matrix Differential Equations. SIAM J. Matrix Anal. Appl. 40 (1) (2019)
Balázs Kovács, Buyang Li, Christian Lubich
A convergent algorithm for mean curvature flow driven by diffusion on the surface. CoRR (2019)
Lukas Einkemmer, Christian Lubich
A Quasi-Conservative Dynamical Low-Rank Algorithm for the Vlasov Equation. SIAM J. Sci. Comput. 41 (5) (2019)
Ernst Hairer, Christian Lubich, Bin Wang
A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. CoRR (2019)
Gianluca Ceruti, Christian Lubich
Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors. CoRR (2019)
Balázs Kovács, Buyang Li, Christian Lubich
A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. Numerische Mathematik 143 (4) (2019)
Balázs Kovács, Christian Lubich
Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type. Numerische Mathematik 138 (2) (2018)
Balázs Kovács, Christian Lubich
Linearly implicit full discretization of surface evolution. Numerische Mathematik 140 (1) (2018)
Lukas Einkemmer, Christian Lubich
A Low-Rank Projector-Splitting Integrator for the Vlasov-Poisson Equation. SIAM J. Sci. Comput. 40 (5) (2018)
Peer Christian Kunstmann, Buyang Li, Christian Lubich
Runge-Kutta Time Discretization of Nonlinear Parabolic Equations Studied via Discrete Maximal Parabolic Regularity. Found. Comput. Math. 18 (5) (2018)
Christian Lubich, Bart Vandereycken, Hanna Walach
Time Integration of Rank-Constrained Tucker Tensors. SIAM J. Numer. Anal. 56 (3) (2018)
Nicola Guglielmi, Christian Lubich, Volker Mehrmann
On the Nearest Singular Matrix Pencil. SIAM J. Matrix Anal. Appl. 38 (3) (2017)
Nicola Guglielmi, Christian Lubich
Matrix Stabilization Using Differential Equations. SIAM J. Numer. Anal. 55 (6) (2017)
Balázs Kovács, Buyang Li, Christian Lubich, Christian A. Power Guerra
Convergence of finite elements on an evolving surface driven by diffusion on the surface. Numerische Mathematik 137 (3) (2017)
Balázs Kovács, Christian Lubich
Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. Numerische Mathematik 137 (1) (2017)
Georgios Akrivis, Buyang Li, Christian Lubich
Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations. Math. Comput. 86 (306) (2017)
Balázs Kovács, Buyang Li, Christian Lubich
A-Stable Time Discretizations Preserve Maximal Parabolic Regularity. SIAM J. Numer. Anal. 54 (6) (2016)
Emil Kieri, Christian Lubich, Hanna Walach
Discretized Dynamical Low-Rank Approximation in the Presence of Small Singular Values. SIAM J. Numer. Anal. 54 (2) (2016)
Ernst Hairer, Christian Lubich
Long-term analysis of the Störmer-Verlet method for Hamiltonian systems with a solution-dependent high frequency. Numerische Mathematik 134 (1) (2016)
Christian Lubich, Dhia Mansour
Variational discretization of wave equations on evolving surfaces. Math. Comput. 84 (292) (2015)
Christian Lubich, Ivan V. Oseledets, Bart Vandereycken
Time Integration of Tensor Trains. SIAM J. Numer. Anal. 53 (2) (2015)
Georgios Akrivis, Christian Lubich
Fully implicit, linearly implicit and implicit-explicit backward difference formulae for quasi-linear parabolic equations. Numerische Mathematik 131 (4) (2015)
Nicola Guglielmi, Daniel Kressner, Christian Lubich
Low rank differential equations for Hamiltonian matrix nearness problems. Numerische Mathematik 129 (2) (2015)
Lehel Banjai, Christian Lubich, Francisco-Javier Sayas
Stable numerical coupling of exterior and interior problems for the wave equation. Numerische Mathematik 129 (4) (2015)
Christian Lubich, Daniel Weiss
Numerical Integrators for Motion under a Strong Constraining Force. Multiscale Model. Simul. 12 (4) (2014)
Nicola Guglielmi, Daniel Kressner, Christian Lubich
Computing Extremal Points of Symplectic Pseudospectra and Solving Symplectic Matrix Nearness Problems. SIAM J. Matrix Anal. Appl. 35 (4) (2014)
Helge Holden, Christian Lubich, Nils Henrik Risebro
Operator splitting for partial differential equations with Burgers nonlinearity. Math. Comput. 82 (281) (2013)
Paola Console, Ernst Hairer, Christian Lubich
Symmetric multistep methods for constrained Hamiltonian systems. Numerische Mathematik 124 (3) (2013)
Christian Lubich, Charalambos G. Makridakis
Interior a posteriori error estimates for time discrete approximations of parabolic problems. Numerische Mathematik 124 (3) (2013)
Christian Lubich, Thorsten Rohwedder, Reinhold Schneider, Bart Vandereycken
Dynamical Approximation by Hierarchical Tucker and Tensor-Train Tensors. SIAM J. Matrix Anal. Appl. 34 (2) (2013)
Nicola Guglielmi, Christian Lubich
Low-Rank Dynamics for Computing Extremal Points of Real Pseudospectra. SIAM J. Matrix Anal. Appl. 34 (1) (2013)
Nicola Guglielmi, Christian Lubich
Erratum/Addendum: Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking. SIAM J. Numer. Anal. 50 (2) (2012)
Lehel Banjai, Christian Lubich, Jens Markus Melenk
Runge-Kutta convolution quadrature for operators arising in wave propagation. Numerische Mathematik 119 (1) (2011)
Nicola Guglielmi, Christian Lubich
Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking. SIAM J. Numer. Anal. 49 (3) (2011)
Ludwig Gauckler, Christian Lubich
Splitting Integrators for Nonlinear Schrödinger Equations Over Long Times. Found. Comput. Math. 10 (3) (2010)
Othmar Koch, Christian Lubich
Dynamical Tensor Approximation. SIAM J. Matrix Anal. Appl. 31 (5) (2010)
Ludwig Gauckler, Christian Lubich
Nonlinear Schrödinger Equations and Their Spectral Semi-Discretizations Over Long Times. Found. Comput. Math. 10 (2) (2010)
Erwan Faou, Vasile Gradinaru, Christian Lubich
Computing Semiclassical Quantum Dynamics with Hagedorn Wavepackets. SIAM J. Sci. Comput. 31 (4) (2009)
Sören Bartels, Christian Lubich, Andreas Prohl
Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers. Math. Comput. 78 (267) (2009)
Ernst Hairer, Christian Lubich
Spectral Semi-discretisations of Weakly Non-linear Wave Equations over Long Times. Found. Comput. Math. 8 (3) (2008)
María López-Fernández, Christian Lubich, Achim Schädle
Adaptive, Fast, and Oblivious Convolution in Evolution Equations with Memory. SIAM J. Sci. Comput. 30 (2) (2008)
Christian Lubich
On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations. Math. Comput. 77 (264) (2008)
David Cohen, Ernst Hairer, Christian Lubich
Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations. Numerische Mathematik 110 (2) (2008)
Achim Nonnenmacher, Christian Lubich
Dynamical low-rank approximation: applications and numerical experiments. Math. Comput. Simul. 79 (4) (2008)
Othmar Koch, Christian Lubich
Dynamical Low-Rank Approximation. SIAM J. Matrix Anal. Appl. 29 (2) (2007)
Eduardo Cuesta, Christian Lubich, Cesar Palencia
Convolution quadrature time discretization of fractional diffusion-wave equations. Math. Comput. 75 (254) (2006)
Achim Schädle, María López-Fernández, Christian Lubich
Fast and Oblivious Convolution Quadrature. SIAM J. Sci. Comput. 28 (2) (2006)
María López-Fernández, Christian Lubich, Cesar Palencia, Achim Schädle
Fast Runge-Kutta approximation of inhomogeneous parabolic equations. Numerische Mathematik 102 (2) (2005)
Christian Lubich
On variational approximations in quantum molecular dynamics. Math. Comput. 74 (250) (2005)
Ernst Hairer, Christian Lubich
Symmetric multistep methods over long times. Numerische Mathematik 97 (4) (2004)
Marlis Hochbruck, Christian Lubich
On Magnus Integrators for Time-Dependent Schrödinger Equations. SIAM J. Numer. Anal. 41 (3) (2003)
David Cohen, Ernst Hairer, Christian Lubich
Modulated Fourier Expansions of Highly Oscillatory Differential Equations. Found. Comput. Math. 3 (4) (2003)
Tobias Jahnke, Christian Lubich
Numerical integrators for quantum dynamics close to the adiabatic limit. Numerische Mathematik 94 (2) (2003)
Christian Lubich, Achim Schädle
Fast Convolution for Nonreflecting Boundary Conditions. SIAM J. Sci. Comput. 24 (1) (2002)
Ernst Hairer, Christian Lubich
Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations. SIAM J. Numer. Anal. 38 (2) (2000)
Marlis Hochbruck, Christian Lubich
A Gautschi-type method for oscillatory second-order differential equations. Numerische Mathematik 83 (3) (1999)
Christian Lubich, Alexander Ostermann
Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization. Numerische Mathematik 81 (1) (1998)
Marlis Hochbruck, Christian Lubich
Error Analysis of Krylov Methods In a Nutshell. SIAM J. Sci. Comput. 19 (2) (1998)
Marlis Hochbruck, Christian Lubich, Hubert Selhofer
Exponential Integrators for Large Systems of Differential Equations. SIAM J. Sci. Comput. 19 (5) (1998)
Ch. Engstler, Christian Lubich
Multirate Extrapolation Methods for Differential Equations with Different Time Scales. Computing 58 (2) (1997)
Christian Lubich, Ian H. Sloan, Vidar Thomée
Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term. Math. Comput. 65 (213) (1996)
Christian Lubich
Extrapolation integrators for constrained multibody systems. IMPACT Comput. Sci. Eng. 3 (2) (1991)
Christian Lubich, Michel Roche
Rosenbrock methods for differential-algebraic systems with solution-dependent singular matrix multiplying the derivative. Computing 43 (4) (1990)
Christian Lubich
-Extrapolation methods for differential-algebraic systems of index 2. IMPACT Comput. Sci. Eng. 1 (3) (1989)