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Lubich, Christian

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Author ID: lubich.christian Recent zbMATH articles by "Lubich, Christian"
Published as: Lubich, C.; Lubich, Ch.; Lubich, Christian
Homepage: https://na.uni-tuebingen.de/~lubich/
External Links: MGP · Wikidata · ORCID · dblp · GND
Documents Indexed: 165 Publications since 1982, including 5 Books
all top 5

Serials

31 Numerische Mathematik
18 BIT
15 Mathematics of Computation
14 SIAM Journal on Numerical Analysis
11 IMA Journal of Numerical Analysis
8 SIAM Journal on Scientific Computing
7 SIAM Journal on Matrix Analysis and Applications
6 Applied Numerical Mathematics
5 Foundations of Computational Mathematics
3 Communications in Partial Differential Equations
3 Oberwolfach Reports
3 Springer Series in Computational Mathematics
2 Archive for Rational Mechanics and Analysis
2 Computing
2 IMPACT of Computing in Science and Engineering
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Classical and Quantum Gravity
1 Communications in Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Journal of Computational and Applied Mathematics
1 Mathematics and Computers in Simulation
1 Journal of Integral Equations
1 SIAM Journal on Scientific and Statistical Computing
1 Internationale Mathematische Nachrichten
1 Journal of Integral Equations and Applications
1 Linear Algebra and its Applications
1 SIAM Journal on Mathematical Analysis
1 Discrete and Continuous Dynamical Systems
1 Interfaces and Free Boundaries
1 AMRX. Applied Mathematics Research eXpress
1 Multiscale Modeling & Simulation
1 Acta Numerica
1 Lecture Notes in Mathematics
1 Forum of Mathematics, Sigma
1 Zurich Lectures in Advanced Mathematics
1 SMAI Journal of Computational Mathematics

Publications by Year

Citations contained in zbMATH

153 Publications have been cited 5,881 times in 3,520 Documents Cited by Year
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. 2nd ed. Zbl 1094.65125
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
798
2006
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. Zbl 0994.65135
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
480
2002
Discretized fractional calculus. Zbl 0624.65015
Lubich, Ch.
305
1986
Convolution quadrature and discretized operational calculus. I. Zbl 0637.65016
Lubich, C.
237
1988
The numerical solution of differential-algebraic systems by Runge-Kutta methods. Zbl 0683.65050
Hairer, Ernst; Lubich, Christian; Roche, Michel
224
1989
On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032
Hochbruck, Marlis; Lubich, Christian
220
1997
Exponential integrators for large systems of differential equations. Zbl 0912.65058
Hochbruck, Marlis; Lubich, Christian
172
1998
Convolution quadrature and discretized operational calculus. II. Zbl 0643.65094
Lubich, C.
148
1988
Convolution quadrature time discretization of fractional diffusion-wave equations. Zbl 1090.65147
Cuesta, Eduardo; Lubich, Christian; Palencia, Cesar
119
2006
On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations. Zbl 1198.65186
Lubich, Christian
102
2008
A Gautschi-type method for oscillatory second-order differential equations. Zbl 0937.65077
Hochbruck, Marlis; Lubich, Christian
95
1999
Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term. Zbl 0852.65138
Lubich, Ch.; Sloan, I. H.; Thomée, V.
92
1996
Fractional linear multistep methods for Abel-Volterra integral equations of the second kind. Zbl 0584.65090
Lubich, Ch.
91
1985
From quantum to classical molecular dynamics: Reduced models and numerical analysis. Zbl 1160.81001
Lubich, Christian
87
2008
On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations. Zbl 0795.65063
Lubich, Ch.
83
1994
Geometric numerical integration illustrated by the Störmer-Verlet method. Zbl 1046.65110
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
82
2003
Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations. Zbl 0657.65093
Hairer, E.; Lubich, Ch.; Roche, M.
81
1988
Error bounds for exponential operator splittings. Zbl 0972.65061
Jahnke, Tobias; Lubich, Christian
78
2000
Long-time energy conservation of numerical methods for oscillatory differential equations. Zbl 0988.65118
Hairer, Ernst; Lubich, Christian
78
2000
Fast convolution for nonreflecting boundary conditions. Zbl 1013.65113
Lubich, Christian; Schädle, Achim
75
2002
Fast and oblivious convolution quadrature. Zbl 1111.65114
Schädle, Achim; López-Fernández, María; Lubich, Christian
64
2006
Convolution quadrature revisited. Zbl 1083.65123
Lubich, Christian
64
2004
Runge-Kutta methods for parabolic equations and convolution quadrature. Zbl 0795.65062
Lubich, Ch.; Ostermann, A.
60
1993
On the stability of linear multistep methods for Volterra convolution equations. Zbl 0543.65095
Lubich, Ch.
57
1983
Runge-Kutta theory for Volterra and Abel integral equations of the second kind. Zbl 0538.65091
Lubich, Ch.
55
1983
Fast numerical solution of nonlinear Volterra convolution equations. Zbl 0581.65095
Hairer, E.; Lubich, Ch.; Schlichte, M.
53
1985
Dynamical low-rank approximation. Zbl 1145.65031
Koch, Othmar; Lubich, Christian
52
2008
Multi-grid dynamic iteration for parabolic equations. Zbl 0623.65125
Lubich, Ch.; Ostermann, A.
52
1987
The life-span of backward error analysis for numerical integrators. Zbl 0874.65061
Hairer, E.; Lubich, Ch.
47
1997
Linearly implicit time discretization of nonlinear parabolic equations. Zbl 0834.65092
Lubich, Ch.; Ostermann, A.
45
1995
Runge-Kutta approximation of quasi-linear parabolic equations. Zbl 0832.65104
Lubich, Christian; Ostermann, Alexander
41
1995
On resolvent conditions and stability estimates. Zbl 0731.65043
Lubich, Christian; Nevanlinna, Olavi
41
1991
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. Reprint of the second 2006 ed. Zbl 1228.65237
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
40
2010
Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations. Zbl 1163.65066
Cohen, David; Hairer, Ernst; Lubich, Christian
40
2008
Runge-Kutta convolution quadrature for operators arising in wave propagation. Zbl 1227.65027
Banjai, Lehel; Lubich, Christian; Melenk, Jens Markus
37
2011
On the stability of semi-implicit methods for ordinary differential equations. Zbl 0489.65046
Hairer, E.; Bader, G.; Lubich, Ch.
36
1982
A stability analysis of convolution quadratures for Abel-Volterra integral equations. Zbl 0587.65090
Lubich, Ch.
35
1986
Dynamical approximation by hierarchical Tucker and tensor-train tensors. Zbl 1391.15087
Lubich, Christian; Rohwedder, Thorsten; Schneider, Reinhold; Vandereycken, Bart
33
2013
Dynamical tensor approximation. Zbl 1214.15017
Koch, Othmar; Lubich, Christian
33
2010
Time discretization of parabolic boundary integral equations. Zbl 0795.65061
Lubich, Ch.; Schneider R.
33
1992
Error of Rosenbrock methods for stiff problems studied via differential algebraic equations. Zbl 0674.65039
Hairer, E.; Lubich, Ch.; Roche, M.
33
1989
Adaptive, fast, and oblivious convolution in evolution equations with memory. Zbl 1160.65356
López-Fernández, María; Lubich, Christian; Schädle, Achim
31
2008
Operator splitting for partial differential equations with Burgers nonlinearity. Zbl 1260.35184
Holden, Helge; Lubich, Christian; Risebro, Nils Henrik
28
2013
On the convergence of multistep methods for nonlinear stiff differential equations. Zbl 0729.65055
Lubich, C.
28
1991
A projector-splitting integrator for dynamical low-rank approximation. Zbl 1314.65095
Lubich, Christian; Oseledets, Ivan
27
2014
Backward difference time discretization of parabolic differential equations on evolving surfaces. Zbl 1401.65108
Lubich, Christian; Mansour, Dhia; Venkataraman, Chandrasekhar
27
2013
Fast numerical solution of weakly singular Volterra integral equations. Zbl 0654.65091
Hairer, E.; Lubich, Ch.; Schlichte, M.
26
1988
Asymptotic expansions of the global error of fixed-stepsize methods. Zbl 0571.65066
Hairer, E.; Lubich, C.
25
1984
Numerical integrators for highly oscillatory Hamiltonian systems: a review. Zbl 1367.65191
Cohen, David; Jahnke, Tobias; Lorenz, Katina; Lubich, Christian
24
2006
Numerical energy conservation for multi-frequency oscillatory differential equations. Zbl 1083.65117
Cohen, D.; Hairer, E.; Lubich, Ch.
24
2005
Exponential integrators for quantum-classical molecular dynamics. Zbl 0985.81002
Hochbruck, Marlis; Lubich, Christian
24
1999
Extrapolation integrators for constrained multibody systems. Zbl 0742.70011
Lubich, Ch.
24
1991
Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations. Zbl 1361.65053
Akrivis, Georgios; Li, Buyang; Lubich, Christian
23
2017
A-stable time discretizations preserve maximal parabolic regularity. Zbl 1355.65122
Kovács, Balázs; Li, Buyang; Lubich, Christian
23
2016
Time integration of tensor trains. Zbl 1312.65114
Lubich, Christian; Oseledets, Ivan V.; Vandereycken, Bart
23
2015
An error analysis of Runge-Kutta convolution quadrature. Zbl 1228.65245
Banjai, Lehel; Lubich, Christian
23
2011
Splitting integrators for nonlinear Schrödinger equations over long times. Zbl 1189.65301
Gauckler, Ludwig; Lubich, Christian
23
2010
Computing semiclassical quantum dynamics with Hagedorn wavepackets. Zbl 1194.81096
Faou, Erwan; Gradinaru, Vasile; Lubich, Christian
23
2009
Long-time analysis of nonlinearly perturbed wave equations via modulated Fourier expansions. Zbl 1145.35087
Cohen, David; Hairer, Ernst; Lubich, Christian
23
2008
Energy-diminishing integration of gradient systems. Zbl 1321.65115
Hairer, Ernst; Lubich, Christian
22
2014
Integration of stiff mechanical systems by Runge-Kutta methods. Zbl 0784.70002
Lubich, Ch.
22
1993
Symmetric multistep methods over long times. Zbl 1060.65074
Hairer, Ernst; Lubich, Christian
21
2004
Runge-Kutta time discretization of reaction-diffusion and Navier-Stokes equations: Nonsmooth-data error estimates and applications to long-time behaviour. Zbl 0872.65090
Lubich, Christian; Ostermann, Alexander
21
1996
Order of convergence of one-step methods for Volterra integral equations of the second kind. Zbl 0519.65088
Hairer, Ernst; Lubich, Ch.; Nørsett, Syvert P.
21
1983
Runge-Kutta theory for Volterra integrodifferential equations. Zbl 0491.65064
Lubich, Ch.
21
1982
Fully implicit, linearly implicit and implicit-explicit backward difference formulae for quasi-linear parabolic equations. Zbl 1334.65124
Akrivis, Georgios; Lubich, Christian
20
2015
On Magnus integrators for time-dependent Schrödinger equations. Zbl 1049.65064
Hochbruck, Marlis; Lubich, Christian
20
2003
Nonlinear Schrödinger equations and their spectral semi-discretizations over long times. Zbl 1194.37121
Gauckler, Ludwig; Lubich, Christian
19
2010
Multirate extrapolation methods for differential equations with different time scales. Zbl 0891.65083
Engstler, Ch.; Lubich, Ch.
19
1997
Stable numerical coupling of exterior and interior problems for the wave equation. Zbl 1314.65122
Banjai, Lehel; Lubich, Christian; Sayas, Francisco-Javier
18
2015
Discretized dynamical low-rank approximation in the presence of small singular values. Zbl 1336.65119
Kieri, Emil; Lubich, Christian; Walach, Hanna
17
2016
Low-rank dynamics for computing extremal points of real pseudospectra. Zbl 1272.65032
Guglielmi, Nicola; Lubich, Christian
17
2013
Differential equations for roaming pseudospectra: paths to extremal points and boundary tracking. Zbl 1232.15009
Guglielmi, Nicola; Lubich, Christian
17
2011
Dynamical low-rank approximation: Applications and numerical experiments. Zbl 1162.65335
Nonnenmacher, Achim; Lubich, Christian
17
2008
Sobolev stability of plane wave solutions to the cubic nonlinear Schrödinger equation on a torus. Zbl 1274.35357
Faou, Erwan; Gauckler, Ludwig; Lubich, Christian
16
2013
Modulated Fourier expansions of highly oscillatory differential equations. Zbl 1056.34005
Cohen, David; Hairer, Ernst; Lubich, Christian
16
2003
Fractional linear multistep methods for Abel Volterra integral equations of the first kind. Zbl 0624.65137
Lubich, Ch.
16
1987
Spectral semi-discretisations of weakly non-linear wave equations over long times. Zbl 1156.35007
Hairer, E.; Lubich, C.
15
2008
Periodic orbits of delay differential equations under discretization. Zbl 0904.65066
in’t Hout, Karel J.; Lubich, Christian
15
1998
Interior estimates for time discretizations of parabolic equations. Zbl 0841.65080
Lubich, Christian; Ostermann, Alexander
15
1995
Low rank differential equations for Hamiltonian matrix nearness problems. Zbl 1312.65070
Guglielmi, Nicola; Kressner, Daniel; Lubich, Christian
13
2015
Runge-Kutta time discretization of parabolic differential equations on evolving surfaces. Zbl 1247.65124
Dziuk, G.; Lubich, Ch.; Mansour, D.
13
2012
Fast Runge-Kutta approximation of inhomogeneous parabolic equations. Zbl 1082.65095
López-Fernández, María; Lubich, Christian; Palencia, Cesar; Schädle, Achim
13
2005
On variational approximations in quantum molecular dynamics. Zbl 1059.81188
Lubich, Christian
13
2005
On convolution quadrature and Hille-Phillips operational calculus. Zbl 0747.65013
Lubich, C.
13
1992
Rosenbrock methods for differential-algebraic systems with solution- dependent singular matrix multiplying the derivative. Zbl 0692.65038
Lubich, Ch.; Roche, M.
13
1990
h\({}^ 2\)-extrapolation methods for differential-algebraic systems of index 2. Zbl 0714.65067
Lubich, Ch.
13
1989
Time integration in the multiconfiguration time-dependent Hartree method of molecular quantum dynamics. Zbl 1331.35290
Lubich, Christian
12
2015
Numerical analysis of parabolic problems with dynamic boundary conditions. Zbl 1433.65216
Kovács, Balázs; Lubich, Christian
11
2017
Regularity of the multi-configuration time-dependent Hartree approximation in quantum molecular dynamics. Zbl 1135.81380
Koch, Othmar; Lubich, Christian
11
2007
Uniform error estimates of operational quadrature methods for nonlinear convolution equations on the half-line. Zbl 0709.65119
Eggermont, P. P. B.; Lubich, Ch.
11
1991
Energy behaviour of the Boris method for charged-particle dynamics. Zbl 1404.65309
Hairer, Ernst; Lubich, Christian
10
2018
On the nearest singular matrix pencil. Zbl 1371.15015
Guglielmi, Nicola; Lubich, Christian; Mehrmann, Volker
10
2017
On the energy distribution in Fermi-Pasta-Ulam lattices. Zbl 1283.70011
Hairer, Ernst; Lubich, Christian
10
2012
Numerical integrators for quantum dynamics close to the adiabatic limit. Zbl 1029.65069
Jahnke, Tobias; Lubich, Christian
10
2003
Linearly implicit extrapolation methods for differential-algebraic systems. Zbl 0669.65057
Lubich, C.
10
1989
Extrapolation at stiff differential equations. Zbl 0643.65034
Hairer, E.; Lubich, C.
10
1988
On the stability of Volterra-Runge-Kutta methods. Zbl 0532.65086
Hairer, E.; Lubich, Ch.
10
1984
Time integration of rank-constrained Tucker tensors. Zbl 1407.37113
Lubich, Christian; Vandereycken, Bart; Walach, Hanna
9
2018
Long-term analysis of the Störmer-Verlet method for Hamiltonian systems with a solution-dependent high frequency. Zbl 1408.65100
Hairer, Ernst; Lubich, Christian
9
2016
Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field. Zbl 1432.78013
Hairer, Ernst; Lubich, Christian
3
2020
A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. Zbl 1434.65312
Hairer, Ernst; Lubich, Christian; Wang, Bin
1
2020
A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. Zbl 1427.65250
Kovács, Balázs; Li, Buyang; Lubich, Christian
4
2019
A quasi-conservative Dynamical Low-rank algorithm for the Vlasov equation. Zbl 1428.82058
Einkemmer, Lukas; Lubich, Christian
2
2019
Constrained graph partitioning via matrix differential equations. Zbl 1407.05187
Andreotti, Eleonora; Edelmann, Dominik; Guglielmi, Nicola; Lubich, Christian
1
2019
Energy behaviour of the Boris method for charged-particle dynamics. Zbl 1404.65309
Hairer, Ernst; Lubich, Christian
10
2018
Time integration of rank-constrained Tucker tensors. Zbl 1407.37113
Lubich, Christian; Vandereycken, Bart; Walach, Hanna
9
2018
Runge-Kutta time discretization of nonlinear parabolic equations studied via discrete maximal parabolic regularity. Zbl 1410.65347
Kunstmann, Peer C.; Li, Buyang; Lubich, Christian
7
2018
A low-rank projector-splitting integrator for the Vlasov-Poisson equation. Zbl 1408.35187
Einkemmer, Lukas; Lubich, Christian
5
2018
Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type. Zbl 1384.65061
Kovács, Balázs; Lubich, Christian
3
2018
Linearly implicit full discretization of surface evolution. Zbl 1401.65105
Kovács, Balázs; Lubich, Christian
1
2018
Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations. Zbl 1361.65053
Akrivis, Georgios; Li, Buyang; Lubich, Christian
23
2017
Numerical analysis of parabolic problems with dynamic boundary conditions. Zbl 1433.65216
Kovács, Balázs; Lubich, Christian
11
2017
On the nearest singular matrix pencil. Zbl 1371.15015
Guglielmi, Nicola; Lubich, Christian; Mehrmann, Volker
10
2017
Symmetric multistep methods for charged-particle dynamics. Zbl 1416.78037
Hairer, Ernst; Lubich, Christian
8
2017
Matrix stabilization using differential equations. Zbl 1379.65037
Guglielmi, Nicola; Lubich, Christian
4
2017
Convergence of finite elements on an evolving surface driven by diffusion on the surface. Zbl 1377.65131
Kovács, Balázs; Li, Buyang; Lubich, Christian; Power Guerra, Christian A.
4
2017
Stable and convergent fully discrete interior-exterior coupling of Maxwell’s equations. Zbl 1375.35528
Kovács, Balázs; Lubich, Christian
2
2017
A-stable time discretizations preserve maximal parabolic regularity. Zbl 1355.65122
Kovács, Balázs; Li, Buyang; Lubich, Christian
23
2016
Discretized dynamical low-rank approximation in the presence of small singular values. Zbl 1336.65119
Kieri, Emil; Lubich, Christian; Walach, Hanna
17
2016
Long-term analysis of the Störmer-Verlet method for Hamiltonian systems with a solution-dependent high frequency. Zbl 1408.65100
Hairer, Ernst; Lubich, Christian
9
2016
Long-term analysis of semilinear wave equations with slowly varying wave speed. Zbl 1368.35164
Gauckler, Ludwig; Hairer, Ernst; Lubich, Christian
2
2016
Time integration of tensor trains. Zbl 1312.65114
Lubich, Christian; Oseledets, Ivan V.; Vandereycken, Bart
23
2015
Fully implicit, linearly implicit and implicit-explicit backward difference formulae for quasi-linear parabolic equations. Zbl 1334.65124
Akrivis, Georgios; Lubich, Christian
20
2015
Stable numerical coupling of exterior and interior problems for the wave equation. Zbl 1314.65122
Banjai, Lehel; Lubich, Christian; Sayas, Francisco-Javier
18
2015
Low rank differential equations for Hamiltonian matrix nearness problems. Zbl 1312.65070
Guglielmi, Nicola; Kressner, Daniel; Lubich, Christian
13
2015
Time integration in the multiconfiguration time-dependent Hartree method of molecular quantum dynamics. Zbl 1331.35290
Lubich, Christian
12
2015
Variational discretization of wave equations on evolving surfaces. Zbl 1307.65136
Lubich, Christian; Mansour, Dhia
8
2015
Long-term analysis of numerical integrators for oscillatory Hamiltonian systems under minimal non-resonance conditions. Zbl 1331.65171
Cohen, David; Gauckler, Ludwig; Hairer, Ernst; Lubich, Christian
6
2015
A projector-splitting integrator for dynamical low-rank approximation. Zbl 1314.65095
Lubich, Christian; Oseledets, Ivan
27
2014
Energy-diminishing integration of gradient systems. Zbl 1321.65115
Hairer, Ernst; Lubich, Christian
22
2014
Plane wave stability of the split-step Fourier method for the nonlinear Schrödinger equation. Zbl 1297.65127
Faou, Erwan; Gauckler, Ludwig; Lubich, Christian
7
2014
Computing extremal points of symplectic pseudospectra and solving symplectic matrix nearness problems. Zbl 1315.65070
Guglielmi, Nicola; Kressner, Daniel; Lubich, Christian
2
2014
Low-rank dynamics. Zbl 1317.65214
Lubich, Christian
1
2014
Numerical integrators for motion under a strong constraining force. Zbl 1325.65112
Lubich, Christian; Weiss, Daniel
1
2014
Dynamical approximation by hierarchical Tucker and tensor-train tensors. Zbl 1391.15087
Lubich, Christian; Rohwedder, Thorsten; Schneider, Reinhold; Vandereycken, Bart
33
2013
Operator splitting for partial differential equations with Burgers nonlinearity. Zbl 1260.35184
Holden, Helge; Lubich, Christian; Risebro, Nils Henrik
28
2013
Backward difference time discretization of parabolic differential equations on evolving surfaces. Zbl 1401.65108
Lubich, Christian; Mansour, Dhia; Venkataraman, Chandrasekhar
27
2013
Low-rank dynamics for computing extremal points of real pseudospectra. Zbl 1272.65032
Guglielmi, Nicola; Lubich, Christian
17
2013
Sobolev stability of plane wave solutions to the cubic nonlinear Schrödinger equation on a torus. Zbl 1274.35357
Faou, Erwan; Gauckler, Ludwig; Lubich, Christian
16
2013
Energy separation in oscillatory Hamiltonian systems without any non-resonance condition. Zbl 1329.70045
Gauckler, Ludwig; Hairer, Ernst; Lubich, Christian
5
2013
Modulated Fourier expansions for continuous and discrete oscillatory systems. Zbl 1316.42005
Hairer, Ernst; Lubich, Christian
4
2013
Symmetric multistep methods for constrained Hamiltonian systems. Zbl 1290.65125
Console, Paola; Hairer, Ernst; Lubich, Christian
4
2013
Interior a posteriori error estimates for time discrete approximations of parabolic problems. Zbl 1270.65054
Lubich, Christian; Makridakis, Charalambos
2
2013
Long-term control of oscillations in differential equations. Zbl 1338.65182
Hairer, Ernst; Lubich, Christian
1
2013
Runge-Kutta time discretization of parabolic differential equations on evolving surfaces. Zbl 1247.65124
Dziuk, G.; Lubich, Ch.; Mansour, D.
13
2012
On the energy distribution in Fermi-Pasta-Ulam lattices. Zbl 1283.70011
Hairer, Ernst; Lubich, Christian
10
2012
Metastable energy strata in weakly nonlinear wave equations. Zbl 1255.35042
Gauckler, Ludwig; Hairer, Ernst; Lubich, Christian; Weiss, Daniel
6
2012
Erratum/addendum: Differential equations for roaming pseudospectra: paths to extremal points and boundary tracking. Zbl 1257.15007
Guglielmi, Nicola; Lubich, Christian
4
2012
Runge-Kutta convolution quadrature for operators arising in wave propagation. Zbl 1227.65027
Banjai, Lehel; Lubich, Christian; Melenk, Jens Markus
37
2011
An error analysis of Runge-Kutta convolution quadrature. Zbl 1228.65245
Banjai, Lehel; Lubich, Christian
23
2011
Differential equations for roaming pseudospectra: paths to extremal points and boundary tracking. Zbl 1232.15009
Guglielmi, Nicola; Lubich, Christian
17
2011
Variational-splitting time integration of the multi-configuration time-dependent Hartree-Fock equations in electron dynamics. Zbl 1218.81040
Koch, Othmar; Lubich, Christian
5
2011
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. Reprint of the second 2006 ed. Zbl 1228.65237
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
40
2010
Dynamical tensor approximation. Zbl 1214.15017
Koch, Othmar; Lubich, Christian
33
2010
Splitting integrators for nonlinear Schrödinger equations over long times. Zbl 1189.65301
Gauckler, Ludwig; Lubich, Christian
23
2010
Nonlinear Schrödinger equations and their spectral semi-discretizations over long times. Zbl 1194.37121
Gauckler, Ludwig; Lubich, Christian
19
2010
An error analysis of the multi-configuration time-dependent Hartree method of quantum dynamics. Zbl 1192.81125
Conte, Dajana; Lubich, Christian
9
2010
Computing semiclassical quantum dynamics with Hagedorn wavepackets. Zbl 1194.81096
Faou, Erwan; Gradinaru, Vasile; Lubich, Christian
23
2009
Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers. Zbl 1198.65178
Bartels, Sören; Lubich, Christian; Prohl, Andreas
8
2009
Oscillation over long times in numerical Hamiltonian systems. Zbl 1180.37121
Hairer, Ernst; Lubich, Christian
7
2009
On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations. Zbl 1198.65186
Lubich, Christian
102
2008
From quantum to classical molecular dynamics: Reduced models and numerical analysis. Zbl 1160.81001
Lubich, Christian
87
2008
Dynamical low-rank approximation. Zbl 1145.65031
Koch, Othmar; Lubich, Christian
52
2008
Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations. Zbl 1163.65066
Cohen, David; Hairer, Ernst; Lubich, Christian
40
2008
Adaptive, fast, and oblivious convolution in evolution equations with memory. Zbl 1160.65356
López-Fernández, María; Lubich, Christian; Schädle, Achim
31
2008
Long-time analysis of nonlinearly perturbed wave equations via modulated Fourier expansions. Zbl 1145.35087
Cohen, David; Hairer, Ernst; Lubich, Christian
23
2008
Dynamical low-rank approximation: Applications and numerical experiments. Zbl 1162.65335
Nonnenmacher, Achim; Lubich, Christian
17
2008
Spectral semi-discretisations of weakly non-linear wave equations over long times. Zbl 1156.35007
Hairer, E.; Lubich, C.
15
2008
Free and constrained symplectic integrators for numerical general relativity. Zbl 1152.83309
Richter, Ronny; Lubich, Christian
3
2008
Regularity of the multi-configuration time-dependent Hartree approximation in quantum molecular dynamics. Zbl 1135.81380
Koch, Othmar; Lubich, Christian
11
2007
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. 2nd ed. Zbl 1094.65125
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
798
2006
Convolution quadrature time discretization of fractional diffusion-wave equations. Zbl 1090.65147
Cuesta, Eduardo; Lubich, Christian; Palencia, Cesar
119
2006
Fast and oblivious convolution quadrature. Zbl 1111.65114
Schädle, Achim; López-Fernández, María; Lubich, Christian
64
2006
Numerical integrators for highly oscillatory Hamiltonian systems: a review. Zbl 1367.65191
Cohen, David; Jahnke, Tobias; Lorenz, Katina; Lubich, Christian
24
2006
Numerical energy conservation for multi-frequency oscillatory differential equations. Zbl 1083.65117
Cohen, D.; Hairer, E.; Lubich, Ch.
24
2005
Fast Runge-Kutta approximation of inhomogeneous parabolic equations. Zbl 1082.65095
López-Fernández, María; Lubich, Christian; Palencia, Cesar; Schädle, Achim
13
2005
On variational approximations in quantum molecular dynamics. Zbl 1059.81188
Lubich, Christian
13
2005
Adiabatic integrators for highly oscillatory second-order linear differential equations with time-varying eigendecomposition. Zbl 1077.65077
Lorenz, Katina; Jahnke, Tobias; Lubich, Christian
9
2005
Convolution quadrature revisited. Zbl 1083.65123
Lubich, Christian
64
2004
Symmetric multistep methods over long times. Zbl 1060.65074
Hairer, Ernst; Lubich, Christian
21
2004
A variational splitting integrator for quantum molecular dynamics. Zbl 1037.81634
Lubich, Christian
8
2004
Geometric numerical integration illustrated by the Störmer-Verlet method. Zbl 1046.65110
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
82
2003
On Magnus integrators for time-dependent Schrödinger equations. Zbl 1049.65064
Hochbruck, Marlis; Lubich, Christian
20
2003
Modulated Fourier expansions of highly oscillatory differential equations. Zbl 1056.34005
Cohen, David; Hairer, Ernst; Lubich, Christian
16
2003
Numerical integrators for quantum dynamics close to the adiabatic limit. Zbl 1029.65069
Jahnke, Tobias; Lubich, Christian
10
2003
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. Zbl 0994.65135
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
480
2002
Fast convolution for nonreflecting boundary conditions. Zbl 1013.65113
Lubich, Christian; Schädle, Achim
75
2002
Error bounds for exponential operator splittings. Zbl 0972.65061
Jahnke, Tobias; Lubich, Christian
78
2000
Long-time energy conservation of numerical methods for oscillatory differential equations. Zbl 0988.65118
Hairer, Ernst; Lubich, Christian
78
2000
Energy conservation by Störmer-type numerical integrators. Zbl 0952.65053
Hairer, E.; Lubich, Ch.
6
2000
Asymptotic expansions and backward analysis for numerical integrators. Zbl 0942.65092
Hairer, Ernst; Lubich, Christian
6
2000
A Gautschi-type method for oscillatory second-order differential equations. Zbl 0937.65077
Hochbruck, Marlis; Lubich, Christian
95
1999
Exponential integrators for quantum-classical molecular dynamics. Zbl 0985.81002
Hochbruck, Marlis; Lubich, Christian
24
1999
Invariant tori of dissipatively perturbed Hamiltonian systems under symplectic discretization. Zbl 1022.37042
Hairer, Ernst; Lubich, Christian
5
1999
Inertial manifolds of parabolic differential equations under higher-order discretizations. Zbl 0947.65100
van Dorsselaer, Jos L. M.; Lubich, Christian
2
1999
A bunch of time integrators for quantum/classical molecular dynamics. Zbl 0966.81066
Hochbruk, Marlis; Lubich, Christian
1
1999
Exponential integrators for large systems of differential equations. Zbl 0912.65058
Hochbruck, Marlis; Lubich, Christian
172
1998
Periodic orbits of delay differential equations under discretization. Zbl 0904.65066
in’t Hout, Karel J.; Lubich, Christian
15
1998
Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization. Zbl 0924.65051
Lubich, Christian; Ostermann, Alexander
7
1998
...and 53 more Documents
all top 5

Cited by 4,039 Authors

85 Lubich, Christian
50 Wu, Xinyuan
44 Ostermann, Alexander
41 Hairer, Ernst
35 Xu, Da
33 Wang, Bin
32 Weiner, Rüdiger
30 Chartier, Philippe
28 Li, Buyang
27 Faou, Erwan
26 Murua, Ander
25 Auzinger, Winfried
24 Blanes, Sergio
24 Casas, Fernando
24 Wang, Yushun
21 Sun, Yajuan
20 Schanz, Martin
20 Zhou, Zhi
19 Brugnano, Luigi
19 Celledoni, Elena
19 Deng, Weihua
19 Ford, Neville J.
19 Martín de Diego, David
19 Sandu, Adrian
19 You, Xiong
18 Garrappa, Roberto
18 Iserles, Arieh
18 Koch, Othmar
18 Leok, Melvin
18 Sanz-Serna, Jesús María
18 Sayas, Francisco-Javier
18 Thalhammer, Mechthild
17 Burrage, Kevin
17 McLachlan, Robert I.
17 Vecchio, Antonia
16 Conte, Dajana
16 Einkemmer, Lukas
16 Guglielmi, Nicola
16 Hochbruck, Marlis
16 Hong, Jialin
16 Li, Changpin
16 Owren, Brynjulf
16 Schratz, Katharina
16 Xiao, Aiguo
15 Akrivis, Georgios D.
15 Iavernaro, Felice
15 Montijano, Juan Ignacio
15 Shi, Wei
15 Zeng, Fanhai
14 Arnold, Martin
14 Brunner, Hermann
14 Jin, Bangti
14 Karniadakis, George Em
14 Kulikov, Gennady Yur’evich
14 Li, Jiyong
14 Mustapha, Kassem
14 Simeon, Bernd
14 Tang, Yifa
14 Zhao, Jingjun
14 Zhao, Xiaofei
13 Bao, Weizhu
13 Calvo, Manuel
13 D’Ambrosio, Raffaele
13 Gauckler, Ludwig J.
13 Jimenez, Juan Carlos
13 Palencia, Cesar
13 Rández, Luis
13 Yan, Yubin
12 Banjai, Lehel
12 López-Fernández, María
12 Novati, Paolo
12 Paternoster, Beatrice
12 Quispel, Gilles Reinout Willem
12 Schmitt, Bernhard A.
12 Strehmel, Karl
12 Turner, Ian William
12 Vilmart, Gilles
12 Xu, Yang
12 Zhang, Chuanzeng
11 Butcher, John C.
11 Crouseilles, Nicolas
11 Diele, Fasma
11 Kvaerno, Anne
11 Liu, Fawang
11 Méhats, Florian
11 Miyatake, Yuto
11 Spijker, Marc N.
11 Verwer, Jan G.
10 Aimi, Alessandra
10 Cai, Jiaxiang
10 Campbell, Stephen LaVern
10 Chan, Robert Peng Kong
10 Diligenti, Mauro
10 Falletta, Silvia
10 Gander, Martin Jakob
10 Ju, Lili
10 Karasözen, Bülent
10 Khader, Mohamed M.
10 Kovács, Balázs
10 Kressner, Daniel
...and 3,939 more Authors
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Cited in 343 Serials

279 Journal of Computational and Applied Mathematics
272 Journal of Computational Physics
265 Applied Numerical Mathematics
160 Numerische Mathematik
157 BIT
150 Applied Mathematics and Computation
107 Journal of Scientific Computing
99 Mathematics of Computation
89 SIAM Journal on Scientific Computing
86 Computers & Mathematics with Applications
79 Numerical Algorithms
74 SIAM Journal on Numerical Analysis
71 Computer Methods in Applied Mechanics and Engineering
46 Foundations of Computational Mathematics
43 Computer Physics Communications
39 Engineering Analysis with Boundary Elements
38 Applied Mathematics Letters
35 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
33 International Journal for Numerical Methods in Engineering
33 International Journal of Computer Mathematics
33 Linear Algebra and its Applications
32 Mathematics and Computers in Simulation
31 Advances in Computational Mathematics
28 Fractional Calculus & Applied Analysis
27 Journal of Mathematical Analysis and Applications
26 Computing
25 SIAM Journal on Matrix Analysis and Applications
25 Communications in Nonlinear Science and Numerical Simulation
23 Applied Mathematical Modelling
22 Discrete and Continuous Dynamical Systems
20 Journal of Integral Equations and Applications
19 Calcolo
19 Physica D
19 Computational Mechanics
18 Discrete and Continuous Dynamical Systems. Series B
17 Multibody System Dynamics
16 Numerical Methods for Partial Differential Equations
16 Nonlinear Dynamics
15 Physics Letters. A
15 Numerical Linear Algebra with Applications
15 Computational Methods in Applied Mathematics
14 Journal of Mathematical Physics
14 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
14 Multiscale Modeling & Simulation
14 Advances in Difference Equations
13 Celestial Mechanics and Dynamical Astronomy
13 Computational and Applied Mathematics
12 Mathematical and Computer Modelling
11 Chaos, Solitons and Fractals
11 Journal of Mathematical Chemistry
10 Numerical Functional Analysis and Optimization
10 Abstract and Applied Analysis
10 Journal of Computational Dynamics
9 Wave Motion
9 Journal of Nonlinear Science
9 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
8 Computers and Fluids
8 Communications in Mathematical Physics
8 Nonlinearity
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Systems & Control Letters
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 ETNA. Electronic Transactions on Numerical Analysis
8 Journal of Difference Equations and Applications
8 Journal of Applied Mathematics and Computing
8 Acta Numerica
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Automatica
7 Journal of Differential Equations
7 Mathematical Problems in Engineering
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 International Journal of Control
6 Mathematical Methods in the Applied Sciences
6 Applied Mathematics and Mechanics. (English Edition)
6 Journal of Complexity
6 Japan Journal of Industrial and Applied Mathematics
6 SIAM Journal on Mathematical Analysis
5 Applicable Analysis
5 Archive for Rational Mechanics and Analysis
5 Journal of Engineering Mathematics
5 Journal of Fluid Mechanics
5 Acta Mathematicae Applicatae Sinica. English Series
5 Optimization Methods & Software
5 Differential Equations
5 Journal of Applied Mathematics
5 Mediterranean Journal of Mathematics
5 Discrete and Continuous Dynamical Systems. Series S
5 Journal of Geometric Mechanics
5 Science China. Mathematics
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Journal of Applied Analysis and Computation
5 Axioms
5 Mathematics
5 International Journal of Applied and Computational Mathematics
5 Communications on Applied Mathematics and Computation
4 Acta Mechanica
4 Journal of the Franklin Institute
4 Journal of Statistical Physics
4 Letters in Mathematical Physics
4 Journal of Functional Analysis
...and 243 more Serials
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Cited in 56 Fields

2,824 Numerical analysis (65-XX)
1,032 Partial differential equations (35-XX)
782 Ordinary differential equations (34-XX)
425 Dynamical systems and ergodic theory (37-XX)
285 Integral equations (45-XX)
279 Mechanics of particles and systems (70-XX)
226 Fluid mechanics (76-XX)
217 Mechanics of deformable solids (74-XX)
140 Real functions (26-XX)
131 Linear and multilinear algebra; matrix theory (15-XX)
124 Probability theory and stochastic processes (60-XX)
121 Statistical mechanics, structure of matter (82-XX)
116 Quantum theory (81-XX)
97 Systems theory; control (93-XX)
88 Optics, electromagnetic theory (78-XX)
85 Biology and other natural sciences (92-XX)
79 Calculus of variations and optimal control; optimization (49-XX)
69 Operator theory (47-XX)
49 Difference and functional equations (39-XX)
40 Differential geometry (53-XX)
38 Approximations and expansions (41-XX)
35 Computer science (68-XX)
29 Information and communication theory, circuits (94-XX)
27 Integral transforms, operational calculus (44-XX)
27 Geophysics (86-XX)
27 Operations research, mathematical programming (90-XX)
26 Classical thermodynamics, heat transfer (80-XX)
26 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
23 Statistics (62-XX)
21 Global analysis, analysis on manifolds (58-XX)
19 Special functions (33-XX)
17 Combinatorics (05-XX)
14 Nonassociative rings and algebras (17-XX)
14 Topological groups, Lie groups (22-XX)
11 Associative rings and algebras (16-XX)
11 Functional analysis (46-XX)
10 History and biography (01-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
9 Relativity and gravitational theory (83-XX)
7 General and overarching topics; collections (00-XX)
6 Astronomy and astrophysics (85-XX)
4 Algebraic geometry (14-XX)
4 Functions of a complex variable (30-XX)
4 Potential theory (31-XX)
3 Manifolds and cell complexes (57-XX)
2 Mathematical logic and foundations (03-XX)
2 Number theory (11-XX)
2 Commutative algebra (13-XX)
2 Category theory; homological algebra (18-XX)
2 Geometry (51-XX)
1 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)

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