Christian Lubich

106 papers Journal 105

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A Parallel Basis Update and Galerkin Integrator for Tree Tensor Networks. SIAM J. Sci. Comput. Gianluca Ceruti, Jonas Kusch, Christian Lubich, Dominik Sulz
2026	J	`jnl`	Weighted finite difference methods for a nonlinear Klein-Gordon equation with high oscillations in space and time. CoRR Yanyan Shi, Christian Lubich
2025	J	`jnl`	Matrix nearness problems and eigenvalue optimization. CoRR Nicola Guglielmi, Christian Lubich
2025	J	`jnl`	Regularized dynamical parametric approximation of stiff evolution problems. CoRR Christian Lubich, Jörg Nick
2025	J	`jnl`	Transient Dynamics Under Structured Perturbations: Bridging Unstructured and Structured Pseudospectra. SIAM J. Numer. Anal. Nicola Guglielmi, Christian Lubich
2025	J	`jnl`	Weighted finite difference methods for the semiclassical nonlinear Schrödinger equation with multiphase oscillatory initial data. CoRR Yanyan Shi, Christian Lubich
2024	J	`jnl`	A Parallel Rank-Adaptive Integrator for Dynamical Low-Rank Approximation. SIAM J. Sci. Comput. Gianluca Ceruti, Jonas Kusch, Christian Lubich
2024	J	`jnl`	A parallel Basis Update and Galerkin Integrator for Tree Tensor Networks. CoRR Gianluca Ceruti, Jonas Kusch, Christian Lubich, Dominik Sulz
2024	J	`jnl`	A robust second-order low-rank BUG integrator based on the midpoint rule. CoRR Gianluca Ceruti, Lukas Einkemmer, Jonas Kusch, Christian Lubich
2024	J	`jnl`	Numerical analysis of an evolving bulk-surface model of tumour growth. CoRR Dominik Edelmann, Balázs Kovács, Christian Lubich
2024	J	`jnl`	Polarized High-frequency Wave Propagation Beyond the Nonlinear Schrödinger Approximation. SIAM J. Math. Anal. Julian Baumstark, Tobias Jahnke, Christian Lubich
2024	J	`jnl`	Regularized dynamical parametric approximation. CoRR Michael Feischl, Caroline Lasser, Christian Lubich, Jörg Nick
2024	J	`jnl`	Transient dynamics under structured perturbations: bridging unstructured and structured pseudospectra. CoRR Christian Lubich, Nicola Guglielmi
2023	J	`jnl`	A parallel rank-adaptive integrator for dynamical low-rank approximation. CoRR Gianluca Ceruti, Jonas Kusch, Christian Lubich
2023	J	`jnl`	Leapfrog Methods for Relativistic Charged-Particle Dynamics. SIAM J. Numer. Anal. Ernst Hairer, Christian Lubich, Yanyan Shi
2023	J	`jnl`	Leapfrog methods for relativistic charged-particle dynamics. CoRR Ernst Hairer, Christian Lubich, Yanyan Shi
2023	J	`jnl`	Rank-1 Matrix Differential Equations for Structured Eigenvalue Optimization. SIAM J. Numer. Anal. Nicola Guglielmi, Christian Lubich, Stefano Sicilia
2023	J	`jnl`	Rank-Adaptive Time Integration of Tree Tensor Networks. SIAM J. Numer. Anal. Gianluca Ceruti, Christian Lubich, Dominik Sulz
2023	J	`jnl`	Time-dependent electromagnetic scattering from dispersive materials. CoRR Jörg Nick, Selina Burkhard, Christian Lubich
2022	J	`jnl`	Large-stepsize integrators for charged-particle dynamics over multiple time scales. Numerische Mathematik Ernst Hairer, Christian Lubich, Yanyan Shi
2022	J	`jnl`	On a large-stepsize integrator for charged-particle dynamics. CoRR Christian Lubich, Yanyan Shi
2022	J	`jnl`	Rank-1 matrix differential equations for structured eigenvalue optimization. CoRR Nicola Guglielmi, Christian Lubich, Stefano Sicilia
2022	J	`jnl`	Rank-adaptive time integration of tree tensor networks. CoRR Gianluca Ceruti, Christian Lubich, Dominik Sulz
2022	J	`jnl`	Time-dependent electromagnetic scattering from thin layers. Numerische Mathematik Jörg Nick, Balázs Kovács, Christian Lubich
2021	J	`jnl`	A convergent evolving finite element algorithm for Willmore flow of closed surfaces. Numerische Mathematik Balázs Kovács, Buyang Li, Christian Lubich
2021	J	`jnl`	A rank-adaptive robust integrator for dynamical low-rank approximation. CoRR Gianluca Ceruti, Jonas Kusch, Christian Lubich
2021	J	`jnl`	Correction to: Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. Numerische Mathematik Jörg Nick, Balázs Kovács, Christian Lubich
2021	J	`jnl`	Finding the Nearest Passive or Nonpassive System via Hamiltonian Eigenvalue Optimization. SIAM J. Matrix Anal. Appl. Antonio Fazzi, Nicola Guglielmi, Christian Lubich
2021	J	`jnl`	Higher-order linearly implicit full discretization of the Landau-Lifshitz-Gilbert equation. Math. Comput. Georgios Akrivis, Michael Feischl, Balázs Kovács, Christian Lubich
2021	J	`jnl`	Large-stepsize integrators for charged-particle dynamics over multiple time scales. CoRR Ernst Hairer, Christian Lubich, Yanyan Shi
2021	J	`jnl`	Time Integration of Tree Tensor Networks. SIAM J. Numer. Anal. Gianluca Ceruti, Christian Lubich, Hanna Walach
2021	J	`jnl`	Time-dependent electromagnetic scattering from thin layers. CoRR Jörg Nick, Balázs Kovács, Christian Lubich
2020	J	`jnl`	A convergent evolving finite element algorithm for Willmore flow of closed surfaces. CoRR Balázs Kovács, Buyang Li, Christian Lubich
2020	J	`jnl`	A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. Numerische Mathematik Ernst Hairer, Christian Lubich, Bin Wang
2020	J	`jnl`	A passivation algorithm for linear time-invariant systems. CoRR Antonio Fazzi, Nicola Guglielmi, Christian Lubich
2020	J	`jnl`	An unconventional robust integrator for dynamical low-rank approximation. CoRR Gianluca Ceruti, Christian Lubich
2020	J	`jnl`	Computing quantum dynamics in the semiclassical regime. Acta Numer. Caroline Lasser, Christian Lubich
2020	J	`jnl`	Computing quantum dynamics in the semiclassical regime. CoRR Caroline Lasser, Christian Lubich
2020	J	`jnl`	Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field. Numerische Mathematik Ernst Hairer, Christian Lubich
2020	J	`jnl`	Time integration of tree tensor networks. CoRR Gianluca Ceruti, Christian Lubich, Hanna Walach
2020	J	`jnl`	Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature. CoRR Lehel Banjai, Christian Lubich, Joerg Nick
2019	J	`jnl`	A Quasi-Conservative Dynamical Low-Rank Algorithm for the Vlasov Equation. SIAM J. Sci. Comput. Lukas Einkemmer, Christian Lubich
2019	J	`jnl`	A convergent algorithm for mean curvature flow driven by diffusion on the surface. CoRR Balázs Kovács, Buyang Li, Christian Lubich
2019	J	`jnl`	A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. Numerische Mathematik Balázs Kovács, Buyang Li, Christian Lubich
2019	J	`jnl`	A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. CoRR Ernst Hairer, Christian Lubich, Bin Wang
2019	J	`jnl`	Constrained Graph Partitioning via Matrix Differential Equations. SIAM J. Matrix Anal. Appl. Eleonora Andreotti, Dominik Edelmann, Nicola Guglielmi, Christian Lubich
2019	J	`jnl`	Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors. CoRR Gianluca Ceruti, Christian Lubich
2018	J	`jnl`	A Low-Rank Projector-Splitting Integrator for the Vlasov-Poisson Equation. SIAM J. Sci. Comput. Lukas Einkemmer, Christian Lubich
2018	J	`jnl`	Linearly implicit full discretization of surface evolution. Numerische Mathematik Balázs Kovács, Christian Lubich
2018	J	`jnl`	Runge-Kutta Time Discretization of Nonlinear Parabolic Equations Studied via Discrete Maximal Parabolic Regularity. Found. Comput. Math. Peer Christian Kunstmann, Buyang Li, Christian Lubich
2018	J	`jnl`	Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type. Numerische Mathematik Balázs Kovács, Christian Lubich
2018	J	`jnl`	Time Integration of Rank-Constrained Tucker Tensors. SIAM J. Numer. Anal. Christian Lubich, Bart Vandereycken, Hanna Walach
2017	J	`jnl`	Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations. Math. Comput. Georgios Akrivis, Buyang Li, Christian Lubich
2017	J	`jnl`	Convergence of finite elements on an evolving surface driven by diffusion on the surface. Numerische Mathematik Balázs Kovács, Buyang Li, Christian Lubich, Christian A. Power Guerra
2017	J	`jnl`	Matrix Stabilization Using Differential Equations. SIAM J. Numer. Anal. Nicola Guglielmi, Christian Lubich
2017	J	`jnl`	On the Nearest Singular Matrix Pencil. SIAM J. Matrix Anal. Appl. Nicola Guglielmi, Christian Lubich, Volker Mehrmann
2017	J	`jnl`	Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. Numerische Mathematik Balázs Kovács, Christian Lubich
2016	J	`jnl`	A-Stable Time Discretizations Preserve Maximal Parabolic Regularity. SIAM J. Numer. Anal. Balázs Kovács, Buyang Li, Christian Lubich
2016	J	`jnl`	Discretized Dynamical Low-Rank Approximation in the Presence of Small Singular Values. SIAM J. Numer. Anal. Emil Kieri, Christian Lubich, Hanna Walach
2016	J	`jnl`	Long-term analysis of the Störmer-Verlet method for Hamiltonian systems with a solution-dependent high frequency. Numerische Mathematik Ernst Hairer, Christian Lubich
2015	J	`jnl`	Fully implicit, linearly implicit and implicit-explicit backward difference formulae for quasi-linear parabolic equations. Numerische Mathematik Georgios Akrivis, Christian Lubich
2015	J	`jnl`	Low rank differential equations for Hamiltonian matrix nearness problems. Numerische Mathematik Nicola Guglielmi, Daniel Kressner, Christian Lubich
2015	J	`jnl`	Stable numerical coupling of exterior and interior problems for the wave equation. Numerische Mathematik Lehel Banjai, Christian Lubich, Francisco-Javier Sayas
2015	J	`jnl`	Time Integration of Tensor Trains. SIAM J. Numer. Anal. Christian Lubich, Ivan V. Oseledets, Bart Vandereycken
2015	J	`jnl`	Variational discretization of wave equations on evolving surfaces. Math. Comput. Christian Lubich, Dhia Mansour
2014	J	`jnl`	Computing Extremal Points of Symplectic Pseudospectra and Solving Symplectic Matrix Nearness Problems. SIAM J. Matrix Anal. Appl. Nicola Guglielmi, Daniel Kressner, Christian Lubich
2014	J	`jnl`	Numerical Integrators for Motion under a Strong Constraining Force. Multiscale Model. Simul. Christian Lubich, Daniel Weiss
2013	J	`jnl`	Dynamical Approximation by Hierarchical Tucker and Tensor-Train Tensors. SIAM J. Matrix Anal. Appl. Christian Lubich, Thorsten Rohwedder, Reinhold Schneider, Bart Vandereycken
2013	J	`jnl`	Interior a posteriori error estimates for time discrete approximations of parabolic problems. Numerische Mathematik Christian Lubich, Charalambos G. Makridakis
2013	J	`jnl`	Low-Rank Dynamics for Computing Extremal Points of Real Pseudospectra. SIAM J. Matrix Anal. Appl. Nicola Guglielmi, Christian Lubich
2013	J	`jnl`	Operator splitting for partial differential equations with Burgers nonlinearity. Math. Comput. Helge Holden, Christian Lubich, Nils Henrik Risebro
2013	J	`jnl`	Symmetric multistep methods for constrained Hamiltonian systems. Numerische Mathematik Paola Console, Ernst Hairer, Christian Lubich
2012	J	`jnl`	Erratum/Addendum: Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking. SIAM J. Numer. Anal. Nicola Guglielmi, Christian Lubich
2011	J	`jnl`	Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking. SIAM J. Numer. Anal. Nicola Guglielmi, Christian Lubich
2011	J	`jnl`	Runge-Kutta convolution quadrature for operators arising in wave propagation. Numerische Mathematik Lehel Banjai, Christian Lubich, Jens Markus Melenk
2010	J	`jnl`	Dynamical Tensor Approximation. SIAM J. Matrix Anal. Appl. Othmar Koch, Christian Lubich
2010	J	`jnl`	Nonlinear Schrödinger Equations and Their Spectral Semi-Discretizations Over Long Times. Found. Comput. Math. Ludwig Gauckler, Christian Lubich
2010	J	`jnl`	Splitting Integrators for Nonlinear Schrödinger Equations Over Long Times. Found. Comput. Math. Ludwig Gauckler, Christian Lubich
2009	J	`jnl`	Computing Semiclassical Quantum Dynamics with Hagedorn Wavepackets. SIAM J. Sci. Comput. Erwan Faou, Vasile Gradinaru, Christian Lubich
2009	J	`jnl`	Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers. Math. Comput. Sören Bartels, Christian Lubich, Andreas Prohl
2008	J	`jnl`	Adaptive, Fast, and Oblivious Convolution in Evolution Equations with Memory. SIAM J. Sci. Comput. María López-Fernández, Christian Lubich, Achim Schädle
2008	J	`jnl`	Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations. Numerische Mathematik David Cohen, Ernst Hairer, Christian Lubich
2008	J	`jnl`	Dynamical low-rank approximation: applications and numerical experiments. Math. Comput. Simul. Achim Nonnenmacher, Christian Lubich
2008	J	`jnl`	On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations. Math. Comput. Christian Lubich
2008	J	`jnl`	Spectral Semi-discretisations of Weakly Non-linear Wave Equations over Long Times. Found. Comput. Math. Ernst Hairer, Christian Lubich
2007	J	`jnl`	Dynamical Low-Rank Approximation. SIAM J. Matrix Anal. Appl. Othmar Koch, Christian Lubich
2006	J	`jnl`	Convolution quadrature time discretization of fractional diffusion-wave equations. Math. Comput. Eduardo Cuesta, Christian Lubich, Cesar Palencia
2006	J	`jnl`	Fast and Oblivious Convolution Quadrature. SIAM J. Sci. Comput. Achim Schädle, María López-Fernández, Christian Lubich
2005	J	`jnl`	Fast Runge-Kutta approximation of inhomogeneous parabolic equations. Numerische Mathematik María López-Fernández, Christian Lubich, Cesar Palencia, Achim Schädle
2005	J	`jnl`	On variational approximations in quantum molecular dynamics. Math. Comput. Christian Lubich
2004	J	`jnl`	Symmetric multistep methods over long times. Numerische Mathematik Ernst Hairer, Christian Lubich
2003	J	`jnl`	Modulated Fourier Expansions of Highly Oscillatory Differential Equations. Found. Comput. Math. David Cohen, Ernst Hairer, Christian Lubich
2003	J	`jnl`	Numerical integrators for quantum dynamics close to the adiabatic limit. Numerische Mathematik Tobias Jahnke, Christian Lubich
2003	J	`jnl`	On Magnus Integrators for Time-Dependent Schrödinger Equations. SIAM J. Numer. Anal. Marlis Hochbruck, Christian Lubich
2002	J	`jnl`	Fast Convolution for Nonreflecting Boundary Conditions. SIAM J. Sci. Comput. Christian Lubich, Achim Schädle
2000	J	`jnl`	Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations. SIAM J. Numer. Anal. Ernst Hairer, Christian Lubich
1999	—	`ch.`	A Bunch of Time Integrators for Quantum/Classical Molecular Dynamics. Computational Molecular Dynamics Marlis Hochbruck, Christian Lubich
1999	J	`jnl`	A Gautschi-type method for oscillatory second-order differential equations. Numerische Mathematik Marlis Hochbruck, Christian Lubich
1998	J	`jnl`	Error Analysis of Krylov Methods In a Nutshell. SIAM J. Sci. Comput. Marlis Hochbruck, Christian Lubich
1998	J	`jnl`	Exponential Integrators for Large Systems of Differential Equations. SIAM J. Sci. Comput. Marlis Hochbruck, Christian Lubich, Hubert Selhofer
1998	J	`jnl`	Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization. Numerische Mathematik Christian Lubich, Alexander Ostermann
1997	J	`jnl`	Multirate Extrapolation Methods for Differential Equations with Different Time Scales. Computing Ch. Engstler, Christian Lubich
1996	J	`jnl`	Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term. Math. Comput. Christian Lubich, Ian H. Sloan, Vidar Thomée
1991	J	`jnl`	Extrapolation integrators for constrained multibody systems. IMPACT Comput. Sci. Eng. Christian Lubich
1990	J	`jnl`	Rosenbrock methods for differential-algebraic systems with solution-dependent singular matrix multiplying the derivative. Computing Christian Lubich, Michel Roche
1989	J	`jnl`	h IMPACT Comput. Sci. Eng. Christian Lubich