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ORCIDChristian Lubich
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- affiliation: University of Tübingen, Germany
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Journal Articles
- 2024
[j76]Julian Baumstark, Tobias Jahnke
, Christian Lubich:
Polarized High-frequency Wave Propagation Beyond the Nonlinear Schrödinger Approximation. SIAM J. Math. Anal. 56(1): 454-473 (2024)- [j75]Gianluca Ceruti, Jonas Kusch, Christian Lubich:
A Parallel Rank-Adaptive Integrator for Dynamical Low-Rank Approximation. SIAM J. Sci. Comput. 46(3): 205- (2024) - 2023
- [j74]Gianluca Ceruti, Christian Lubich, Dominik Sulz:
Rank-Adaptive Time Integration of Tree Tensor Networks. SIAM J. Numer. Anal. 61(1): 194-222 (2023) - [j73]Nicola Guglielmi, Christian Lubich, Stefano Sicilia:
Rank-1 Matrix Differential Equations for Structured Eigenvalue Optimization. SIAM J. Numer. Anal. 61(4): 1737-1762 (2023) - [j72]Ernst Hairer, Christian Lubich, Yanyan Shi:
Leapfrog Methods for Relativistic Charged-Particle Dynamics. SIAM J. Numer. Anal. 61(6): 2844-2858 (2023) - 2022
- [j71]Jörg Nick, Balázs Kovács, Christian Lubich:
Time-dependent electromagnetic scattering from thin layers. Numerische Mathematik 150(4): 1123-1164 (2022) - [j70]Ernst Hairer, Christian Lubich, Yanyan Shi:
Large-stepsize integrators for charged-particle dynamics over multiple time scales. Numerische Mathematik 151(3): 659-691 (2022) - 2021
- [j69]Georgios Akrivis, Michael Feischl, Balázs Kovács, Christian Lubich:
Higher-order linearly implicit full discretization of the Landau-Lifshitz-Gilbert equation. Math. Comput. 90(329): 995-1038 (2021) - [j68]Jörg Nick, Balázs Kovács, Christian Lubich:
Correction to: Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. Numerische Mathematik 147(4): 997-1000 (2021) - [j67]Balázs Kovács, Buyang Li, Christian Lubich:
A convergent evolving finite element algorithm for Willmore flow of closed surfaces. Numerische Mathematik 149(3): 595-643 (2021) - [j66]Antonio Fazzi, Nicola Guglielmi, Christian Lubich:
Finding the Nearest Passive or Nonpassive System via Hamiltonian Eigenvalue Optimization. SIAM J. Matrix Anal. Appl. 42(4): 1553-1580 (2021) - [j65]Gianluca Ceruti, Christian Lubich, Hanna Walach:
Time Integration of Tree Tensor Networks. SIAM J. Numer. Anal. 59(1): 289-313 (2021) - 2020
- [j64]Caroline Lasser, Christian Lubich:
Computing quantum dynamics in the semiclassical regime. Acta Numer. 29: 229-401 (2020) - [j63]Ernst Hairer, Christian Lubich:
Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field. Numerische Mathematik 144(3): 699-728 (2020) - [j62]Ernst Hairer, Christian Lubich, Bin Wang:
A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. Numerische Mathematik 144(4): 787-809 (2020) - 2019
- [j61]Balázs Kovács, Buyang Li, Christian Lubich:
A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. Numerische Mathematik 143(4): 797-853 (2019) - [j60]Eleonora Andreotti, Dominik Edelmann, Nicola Guglielmi, Christian Lubich:
Constrained Graph Partitioning via Matrix Differential Equations. SIAM J. Matrix Anal. Appl. 40(1): 1-22 (2019) - [j59]Lukas Einkemmer, Christian Lubich:
A Quasi-Conservative Dynamical Low-Rank Algorithm for the Vlasov Equation. SIAM J. Sci. Comput. 41(5): B1061-B1081 (2019) - 2018
- [j58]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): 1109-1130 (2018) - [j57]Balázs Kovács, Christian Lubich:
Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type. Numerische Mathematik 138(2): 365-388 (2018) - [j56]Balázs Kovács, Christian Lubich:
Linearly implicit full discretization of surface evolution. Numerische Mathematik 140(1): 121-152 (2018) - [j55]Christian Lubich, Bart Vandereycken, Hanna Walach:
Time Integration of Rank-Constrained Tucker Tensors. SIAM J. Numer. Anal. 56(3): 1273-1290 (2018) - [j54]Lukas Einkemmer, Christian Lubich:
A Low-Rank Projector-Splitting Integrator for the Vlasov-Poisson Equation. SIAM J. Sci. Comput. 40(5): B1330-B1360 (2018) - 2017
- [j53]Georgios Akrivis, Buyang Li, Christian Lubich:
Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations. Math. Comput. 86(306): 1527-1552 (2017) - [j52]Balázs Kovács, Christian Lubich:
Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. Numerische Mathematik 137(1): 91-117 (2017) - [j51]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): 643-689 (2017) - [j50]Nicola Guglielmi, Christian Lubich, Volker Mehrmann:
On the Nearest Singular Matrix Pencil. SIAM J. Matrix Anal. Appl. 38(3): 776-806 (2017) - [j49]Nicola Guglielmi, Christian Lubich:
Matrix Stabilization Using Differential Equations. SIAM J. Numer. Anal. 55(6): 3097-3119 (2017) - 2016
- [j48]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): 119-138 (2016) - [j47]Emil Kieri, Christian Lubich, Hanna Walach:
Discretized Dynamical Low-Rank Approximation in the Presence of Small Singular Values. SIAM J. Numer. Anal. 54(2): 1020-1038 (2016) - [j46]Balázs Kovács, Buyang Li, Christian Lubich:
A-Stable Time Discretizations Preserve Maximal Parabolic Regularity. SIAM J. Numer. Anal. 54(6): 3600-3624 (2016) - 2015
- [j45]Christian Lubich, Dhia Mansour:
Variational discretization of wave equations on evolving surfaces. Math. Comput. 84(292): 513-542 (2015) - [j44]Nicola Guglielmi, Daniel Kressner, Christian Lubich:
Low rank differential equations for Hamiltonian matrix nearness problems. Numerische Mathematik 129(2): 279-319 (2015) - [j43]Lehel Banjai, Christian Lubich, Francisco-Javier Sayas:
Stable numerical coupling of exterior and interior problems for the wave equation. Numerische Mathematik 129(4): 611-646 (2015) - [j42]Georgios Akrivis, Christian Lubich:
Fully implicit, linearly implicit and implicit-explicit backward difference formulae for quasi-linear parabolic equations. Numerische Mathematik 131(4): 713-735 (2015) - [j41]Christian Lubich, Ivan V. Oseledets, Bart Vandereycken:
Time Integration of Tensor Trains. SIAM J. Numer. Anal. 53(2): 917-941 (2015) - 2014
- [j40]Christian Lubich, Daniel Weiss:
Numerical Integrators for Motion under a Strong Constraining Force. Multiscale Model. Simul. 12(4): 1592-1606 (2014) - [j39]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): 1407-1428 (2014) - 2013
- [j38]Helge Holden, Christian Lubich, Nils Henrik Risebro:
Operator splitting for partial differential equations with Burgers nonlinearity. Math. Comput. 82(281): 173-185 (2013) - [j37]Paola Console, Ernst Hairer, Christian Lubich:
Symmetric multistep methods for constrained Hamiltonian systems. Numerische Mathematik 124(3): 517-539 (2013) - [j36]Christian Lubich, Charalambos G. Makridakis:
Interior a posteriori error estimates for time discrete approximations of parabolic problems. Numerische Mathematik 124(3): 541-557 (2013) - [j35]Nicola Guglielmi, Christian Lubich:
Low-Rank Dynamics for Computing Extremal Points of Real Pseudospectra. SIAM J. Matrix Anal. Appl. 34(1): 40-66 (2013) - [j34]Christian Lubich, Thorsten Rohwedder, Reinhold Schneider, Bart Vandereycken:
Dynamical Approximation by Hierarchical Tucker and Tensor-Train Tensors. SIAM J. Matrix Anal. Appl. 34(2): 470-494 (2013) - 2012
- [j33]Nicola Guglielmi, Christian Lubich:
Erratum/Addendum: Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking. SIAM J. Numer. Anal. 50(2): 977-981 (2012) - 2011
- [j32]Lehel Banjai, Christian Lubich, Jens Markus Melenk:
Runge-Kutta convolution quadrature for operators arising in wave propagation. Numerische Mathematik 119(1): 1-20 (2011) - [j31]Nicola Guglielmi, Christian Lubich:
Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking. SIAM J. Numer. Anal. 49(3): 1194-1209 (2011) - 2010
- [j30]Ludwig Gauckler, Christian Lubich:
Nonlinear Schrödinger Equations and Their Spectral Semi-Discretizations Over Long Times. Found. Comput. Math. 10(2): 141-169 (2010) - [j29]Ludwig Gauckler, Christian Lubich:
Splitting Integrators for Nonlinear Schrödinger Equations Over Long Times. Found. Comput. Math. 10(3): 275-302 (2010) - [j28]Othmar Koch, Christian Lubich:
Dynamical Tensor Approximation. SIAM J. Matrix Anal. Appl. 31(5): 2360-2375 (2010) - 2009
- [j27]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): 1269-1292 (2009) - [j26]Erwan Faou, Vasile Gradinaru, Christian Lubich:
Computing Semiclassical Quantum Dynamics with Hagedorn Wavepackets. SIAM J. Sci. Comput. 31(4): 3027-3041 (2009) - 2008
- [j25]Ernst Hairer, Christian Lubich:
Spectral Semi-discretisations of Weakly Non-linear Wave Equations over Long Times. Found. Comput. Math. 8(3): 319-334 (2008) - [j24]Achim Nonnenmacher, Christian Lubich:
Dynamical low-rank approximation: applications and numerical experiments. Math. Comput. Simul. 79(4): 1346-1357 (2008) - [j23]Christian Lubich:
On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations. Math. Comput. 77(264): 2141-2153 (2008) - [j22]David Cohen, Ernst Hairer, Christian Lubich:
Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations. Numerische Mathematik 110(2): 113-143 (2008) - [j21]María López-Fernández, Christian Lubich, Achim Schädle:
Adaptive, Fast, and Oblivious Convolution in Evolution Equations with Memory. SIAM J. Sci. Comput. 30(2): 1015-1037 (2008) - 2007
- [j20]Othmar Koch, Christian Lubich:
Dynamical Low-Rank Approximation. SIAM J. Matrix Anal. Appl. 29(2): 434-454 (2007) - 2006
- [j19]Eduardo Cuesta, Christian Lubich, Cesar Palencia:
Convolution quadrature time discretization of fractional diffusion-wave equations. Math. Comput. 75(254): 673-696 (2006) - [j18]Achim Schädle, María López-Fernández, Christian Lubich:
Fast and Oblivious Convolution Quadrature. SIAM J. Sci. Comput. 28(2): 421-438 (2006) - 2005
- [j17]Christian Lubich:
On variational approximations in quantum molecular dynamics. Math. Comput. 74(250): 765-779 (2005) - [j16]María López-Fernández, Christian Lubich, Cesar Palencia, Achim Schädle:
Fast Runge-Kutta approximation of inhomogeneous parabolic equations. Numerische Mathematik 102(2): 277-291 (2005) - 2004
- [j15]Ernst Hairer, Christian Lubich:
Symmetric multistep methods over long times. Numerische Mathematik 97(4): 699-723 (2004) - 2003
- [j14]David Cohen, Ernst Hairer, Christian Lubich:
Modulated Fourier Expansions of Highly Oscillatory Differential Equations. Found. Comput. Math. 3(4): 327-345 (2003) - [j13]Tobias Jahnke, Christian Lubich:
Numerical integrators for quantum dynamics close to the adiabatic limit. Numerische Mathematik 94(2): 289-314 (2003) - [j12]Marlis Hochbruck, Christian Lubich:
On Magnus Integrators for Time-Dependent Schrödinger Equations. SIAM J. Numer. Anal. 41(3): 945-963 (2003) - 2002
- [j11]Christian Lubich, Achim Schädle:
Fast Convolution for Nonreflecting Boundary Conditions. SIAM J. Sci. Comput. 24(1): 161-182 (2002) - 2000
- [j10]Ernst Hairer, Christian Lubich:
Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations. SIAM J. Numer. Anal. 38(2): 414-441 (2000) - 1999
- [j9]Marlis Hochbruck, Christian Lubich:
A Gautschi-type method for oscillatory second-order differential equations. Numerische Mathematik 83(3): 403-426 (1999) - 1998
- [j8]Christian Lubich, Alexander Ostermann:
Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization. Numerische Mathematik 81(1): 53-84 (1998) - [j7]Marlis Hochbruck, Christian Lubich:
Error Analysis of Krylov Methods In a Nutshell. SIAM J. Sci. Comput. 19(2): 695-701 (1998) - [j6]Marlis Hochbruck, Christian Lubich, Hubert Selhofer:
Exponential Integrators for Large Systems of Differential Equations. SIAM J. Sci. Comput. 19(5): 1552-1574 (1998) - 1997
- [j5]Ch. Engstler, Christian Lubich:
Multirate Extrapolation Methods for Differential Equations with Different Time Scales. Computing 58(2): 173-186 (1997) - 1996
- [j4]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): 1-17 (1996) - 1991
- [j3]Christian Lubich:
Extrapolation integrators for constrained multibody systems. IMPACT Comput. Sci. Eng. 3(2): 213-234 (1991) - 1990
- [j2]Christian Lubich, Michel Roche:
Rosenbrock methods for differential-algebraic systems with solution-dependent singular matrix multiplying the derivative. Computing 43(4): 325-342 (1990) - 1989
- [j1]Christian Lubich:
h2-Extrapolation methods for differential-algebraic systems of index 2. IMPACT Comput. Sci. Eng. 1(3): 260-268 (1989)
Parts in Books or Collections
- 1999
- [p1]Marlis Hochbruck, Christian Lubich:
A Bunch of Time Integrators for Quantum/Classical Molecular Dynamics. Computational Molecular Dynamics 1999: 421-432
Informal and Other Publications
- 2024
- [i22]Dominik Edelmann, Balázs Kovács, Christian Lubich:
Numerical analysis of an evolving bulk-surface model of tumour growth. CoRR abs/2401.09372 (2024) - [i21]Christian Lubich, Nicola Guglielmi:
Transient dynamics under structured perturbations: bridging unstructured and structured pseudospectra. CoRR abs/2401.09601 (2024) - [i20]Gianluca Ceruti, Lukas Einkemmer, Jonas Kusch, Christian Lubich:
A robust second-order low-rank BUG integrator based on the midpoint rule. CoRR abs/2402.08607 (2024) - [i19]Michael Feischl, Caroline Lasser, Christian Lubich, Jörg Nick:
Regularized dynamical parametric approximation. CoRR abs/2403.19234 (2024) - 2023
- [i18]Gianluca Ceruti, Jonas Kusch, Christian Lubich:
A parallel rank-adaptive integrator for dynamical low-rank approximation. CoRR abs/2304.05660 (2023) - [i17]Ernst Hairer, Christian Lubich, Yanyan Shi:
Leapfrog methods for relativistic charged-particle dynamics. CoRR abs/2304.13578 (2023) - [i16]Jörg Nick, Selina Burkhard, Christian Lubich:
Time-dependent electromagnetic scattering from dispersive materials. CoRR abs/2310.17599 (2023) - 2022
- [i15]Gianluca Ceruti, Christian Lubich, Dominik Sulz:
Rank-adaptive time integration of tree tensor networks. CoRR abs/2201.10291 (2022) - [i14]Christian Lubich, Yanyan Shi:
On a large-stepsize integrator for charged-particle dynamics. CoRR abs/2205.12895 (2022) - [i13]Nicola Guglielmi, Christian Lubich, Stefano Sicilia:
Rank-1 matrix differential equations for structured eigenvalue optimization. CoRR abs/2206.09338 (2022) - 2021
- [i12]Ernst Hairer, Christian Lubich, Yanyan Shi:
Large-stepsize integrators for charged-particle dynamics over multiple time scales. CoRR abs/2101.10403 (2021) - [i11]Jörg Nick, Balázs Kovács, Christian Lubich:
Time-dependent electromagnetic scattering from thin layers. CoRR abs/2103.08930 (2021) - [i10]Gianluca Ceruti, Jonas Kusch, Christian Lubich:
A rank-adaptive robust integrator for dynamical low-rank approximation. CoRR abs/2104.05247 (2021) - 2020
- [i9]Caroline Lasser, Christian Lubich:
Computing quantum dynamics in the semiclassical regime. CoRR abs/2002.00624 (2020) - [i8]Gianluca Ceruti, Christian Lubich, Hanna Walach:
Time integration of tree tensor networks. CoRR abs/2002.11392 (2020) - [i7]Lehel Banjai, Christian Lubich, Joerg Nick:
Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature. CoRR abs/2005.13880 (2020) - [i6]Balázs Kovács, Buyang Li, Christian Lubich:
A convergent evolving finite element algorithm for Willmore flow of closed surfaces. CoRR abs/2007.15257 (2020) - [i5]Gianluca Ceruti, Christian Lubich:
An unconventional robust integrator for dynamical low-rank approximation. CoRR abs/2010.02022 (2020) - [i4]Antonio Fazzi, Nicola Guglielmi, Christian Lubich:
A passivation algorithm for linear time-invariant systems. CoRR abs/2010.15954 (2020) - 2019
- [i3]Gianluca Ceruti, Christian Lubich:
Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors. CoRR abs/1906.01369 (2019) - [i2]Ernst Hairer, Christian Lubich, Bin Wang:
A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. CoRR abs/1907.07452 (2019) - [i1]Balázs Kovács, Buyang Li, Christian Lubich:
A convergent algorithm for mean curvature flow driven by diffusion on the surface. CoRR abs/1912.05924 (2019)
Coauthor Index
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