Christian Lubich

SIAM J. Math. Anal., February, 2024

Regularized dynamical parametric approximation.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2024

A robust second-order low-rank BUG integrator based on the midpoint rule.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2024

Transient dynamics under structured perturbations: bridging unstructured and structured pseudospectra.

[BibT_eX]

[DOI]

,

CoRR, 2024

Numerical analysis of an evolving bulk-surface model of tumour growth.

[BibT_eX]

[DOI]

Dominik Edelmann

,

,

CoRR, 2024

Leapfrog Methods for Relativistic Charged-Particle Dynamics.

[BibT_eX]

[DOI]

,

,

Yanyan Shi

SIAM J. Numer. Anal., December, 2023

Rank-1 Matrix Differential Equations for Structured Eigenvalue Optimization.

[BibT_eX]

[DOI]

,

,

Stefano Sicilia

SIAM J. Numer. Anal., August, 2023

Rank-Adaptive Time Integration of Tree Tensor Networks.

[BibT_eX]

[DOI]

,

,

Dominik Sulz

SIAM J. Numer. Anal., February, 2023

Time-dependent electromagnetic scattering from dispersive materials.

[BibT_eX]

[DOI]

Jörg Nick

,

Selina Burkhard

,

CoRR, 2023

A parallel rank-adaptive integrator for dynamical low-rank approximation.

[BibT_eX]

[DOI]

,

Jonas Kusch

,

CoRR, 2023

Time-dependent electromagnetic scattering from thin layers.

[BibT_eX]

[DOI]

Jörg Nick

,

,

Numerische Mathematik, 2022

Large-stepsize integrators for charged-particle dynamics over multiple time scales.

[BibT_eX]

[DOI]

,

,

Yanyan Shi

Numerische Mathematik, 2022

On a large-stepsize integrator for charged-particle dynamics.

[BibT_eX]

[DOI]

,

Yanyan Shi

CoRR, 2022

Time Integration of Tree Tensor Networks.

[BibT_eX]

[DOI]

,

,

Hanna Walach

SIAM J. Numer. Anal., 2021

Finding the Nearest Passive or Nonpassive System via Hamiltonian Eigenvalue Optimization.

[BibT_eX]

[DOI]

Antonio Fazzi

,

,

SIAM J. Matrix Anal. Appl., 2021

Correction to: Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations.

[BibT_eX]

[DOI]

Jörg Nick

,

,

Numerische Mathematik, 2021

A convergent evolving finite element algorithm for Willmore flow of closed surfaces.

[BibT_eX]

[DOI]

,

,

Numerische Mathematik, 2021

Higher-order linearly implicit full discretization of the Landau-Lifshitz-Gilbert equation.

[BibT_eX]

[DOI]

,

,

,

Math. Comput., 2021

A rank-adaptive robust integrator for dynamical low-rank approximation.

[BibT_eX]

[DOI]

,

Jonas Kusch

,

CoRR, 2021

A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field.

[BibT_eX]

[DOI]

,

,

Bin Wang

Numerische Mathematik, 2020

Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2020

A passivation algorithm for linear time-invariant systems.

[BibT_eX]

[DOI]

Antonio Fazzi

,

,

CoRR, 2020

An unconventional robust integrator for dynamical low-rank approximation.

[BibT_eX]

[DOI]

,

CoRR, 2020

Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature.

[BibT_eX]

[DOI]

Lehel Banjai

,

,

Joerg Nick

CoRR, 2020

Computing quantum dynamics in the semiclassical regime.

[BibT_eX]

[DOI]

Caroline Lasser

,

Acta Numer., 2020

A Quasi-Conservative Dynamical Low-Rank Algorithm for the Vlasov Equation.

[BibT_eX]

[DOI]

Lukas Einkemmer

,

SIAM J. Sci. Comput., 2019

Constrained Graph Partitioning via Matrix Differential Equations.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Matrix Anal. Appl., 2019

A convergent evolving finite element algorithm for mean curvature flow of closed surfaces.

[BibT_eX]

[DOI]

,

,

Numerische Mathematik, 2019

A convergent algorithm for mean curvature flow driven by diffusion on the surface.

[BibT_eX]

[DOI]

,

,

CoRR, 2019

Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors.

[BibT_eX]

[DOI]

,

CoRR, 2019

A Low-Rank Projector-Splitting Integrator for the Vlasov-Poisson Equation.

[BibT_eX]

[DOI]

Lukas Einkemmer

,

SIAM J. Sci. Comput., 2018

Time Integration of Rank-Constrained Tucker Tensors.

[BibT_eX]

[DOI]

,

Bart Vandereycken

,

Hanna Walach

SIAM J. Numer. Anal., 2018

Linearly implicit full discretization of surface evolution.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2018

Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2018

Runge-Kutta Time Discretization of Nonlinear Parabolic Equations Studied via Discrete Maximal Parabolic Regularity.

[BibT_eX]

[DOI]

Peer Christian Kunstmann

,

,

Found. Comput. Math., 2018

Matrix Stabilization Using Differential Equations.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2017

On the Nearest Singular Matrix Pencil.

[BibT_eX]

[DOI]

,

,

Volker Mehrmann

SIAM J. Matrix Anal. Appl., 2017

Convergence of finite elements on an evolving surface driven by diffusion on the surface.

[BibT_eX]

[DOI]

,

,

Christian A. Power Guerra

,

Numerische Mathematik, 2017

Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2017

Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations.

[BibT_eX]

[DOI]

Georgios Akrivis

,

,

Math. Comput., 2017

A-Stable Time Discretizations Preserve Maximal Parabolic Regularity.

[BibT_eX]

[DOI]

,

,

SIAM J. Numer. Anal., 2016

Discretized Dynamical Low-Rank Approximation in the Presence of Small Singular Values.

[BibT_eX]

[DOI]

Emil Kieri

,

,

Hanna Walach

SIAM J. Numer. Anal., 2016

Long-term analysis of the Störmer-Verlet method for Hamiltonian systems with a solution-dependent high frequency.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2016

Time Integration of Tensor Trains.

[BibT_eX]

[DOI]

,

Ivan V. Oseledets

,

Bart Vandereycken

SIAM J. Numer. Anal., 2015

Low rank differential equations for Hamiltonian matrix nearness problems.

[BibT_eX]

[DOI]

,

Daniel Kressner

,

Numerische Mathematik, 2015

Stable numerical coupling of exterior and interior problems for the wave equation.

[BibT_eX]

[DOI]

Lehel Banjai

,

,

Francisco-Javier Sayas

Numerische Mathematik, 2015

Fully implicit, linearly implicit and implicit-explicit backward difference formulae for quasi-linear parabolic equations.

[BibT_eX]

[DOI]

Georgios Akrivis

,

Numerische Mathematik, 2015

Variational discretization of wave equations on evolving surfaces.

[BibT_eX]

[DOI]

,

Dhia Mansour

Math. Comput., 2015

Computing Extremal Points of Symplectic Pseudospectra and Solving Symplectic Matrix Nearness Problems.

[BibT_eX]

[DOI]

,

Daniel Kressner

,

SIAM J. Matrix Anal. Appl., 2014

Numerical Integrators for Motion under a Strong Constraining Force.

[BibT_eX]

[DOI]

,

Daniel Weiss

Multiscale Model. Simul., 2014

Dynamical Approximation by Hierarchical Tucker and Tensor-Train Tensors.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Matrix Anal. Appl., 2013

Low-Rank Dynamics for Computing Extremal Points of Real Pseudospectra.

[BibT_eX]

[DOI]

,

SIAM J. Matrix Anal. Appl., 2013

Interior a posteriori error estimates for time discrete approximations of parabolic problems.

[BibT_eX]

[DOI]

Charalambos G. Makridakis

,

Numerische Mathematik, 2013

Symmetric multistep methods for constrained Hamiltonian systems.

[BibT_eX]

[DOI]

Paola Console

,

,

Numerische Mathematik, 2013

Operator splitting for partial differential equations with Burgers nonlinearity.

[BibT_eX]

[DOI]

Helge Holden

,

,

Nils Henrik Risebro

Math. Comput., 2013

Erratum/Addendum: Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2012

Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2011

Runge-Kutta convolution quadrature for operators arising in wave propagation.

[BibT_eX]

[DOI]

Lehel Banjai

,

,

Jens Markus Melenk

Numerische Mathematik, 2011

Dynamical Tensor Approximation.

[BibT_eX]

[DOI]

Othmar Koch

,

SIAM J. Matrix Anal. Appl., 2010

Splitting Integrators for Nonlinear Schrödinger Equations Over Long Times.

[BibT_eX]

[DOI]

Ludwig Gauckler

,

Found. Comput. Math., 2010

Nonlinear Schrödinger Equations and Their Spectral Semi-Discretizations Over Long Times.

[BibT_eX]

[DOI]

Ludwig Gauckler

,

Found. Comput. Math., 2010

Computing Semiclassical Quantum Dynamics with Hagedorn Wavepackets.

[BibT_eX]

[DOI]

Erwan Faou

,

Vasile Gradinaru

,

SIAM J. Sci. Comput., 2009

Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers.

[BibT_eX]

[DOI]

Sören Bartels

,

,

Andreas Prohl

Math. Comput., 2009

Adaptive, Fast, and Oblivious Convolution in Evolution Equations with Memory.

[BibT_eX]

[DOI]

María López-Fernández

,

,

SIAM J. Sci. Comput., 2008

Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations.

[BibT_eX]

[DOI]

David Cohen

,

,

Numerische Mathematik, 2008

On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations.

[BibT_eX]

[DOI]

Math. Comput., 2008

Dynamical low-rank approximation: applications and numerical experiments.

[BibT_eX]

[DOI]

Achim Nonnenmacher

,

Math. Comput. Simul., 2008

Spectral Semi-discretisations of Weakly Non-linear Wave Equations over Long Times.

[BibT_eX]

[DOI]

,

Found. Comput. Math., 2008

Dynamical Low-Rank Approximation.

[BibT_eX]

[DOI]

Othmar Koch

,

SIAM J. Matrix Anal. Appl., 2007

Fast and Oblivious Convolution Quadrature.

[BibT_eX]

[DOI]

,

María López-Fernández

,

SIAM J. Sci. Comput., 2006

Convolution quadrature time discretization of fractional diffusion-wave equations.

[BibT_eX]

[DOI]

Eduardo Cuesta

,

,

Cesar Palencia

Math. Comput., 2006

Fast Runge-Kutta approximation of inhomogeneous parabolic equations.

[BibT_eX]

[DOI]

María López-Fernández

,

,

Cesar Palencia

,

Numerische Mathematik, 2005

On variational approximations in quantum molecular dynamics.

[BibT_eX]

[DOI]

Math. Comput., 2005

Symmetric multistep methods over long times.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 2004

On Magnus Integrators for Time-Dependent Schrödinger Equations.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2003

Numerical integrators for quantum dynamics close to the adiabatic limit.

[BibT_eX]

[DOI]

Tobias Jahnke

,

Numerische Mathematik, 2003

Modulated Fourier Expansions of Highly Oscillatory Differential Equations.

[BibT_eX]

[DOI]

David Cohen

,

,

Found. Comput. Math., 2003

Fast Convolution for Nonreflecting Boundary Conditions.

[BibT_eX]

[DOI]

,

SIAM J. Sci. Comput., 2002

Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2000

A Gautschi-type method for oscillatory second-order differential equations.

[BibT_eX]

[DOI]

,

Numerische Mathematik, 1999

Exponential Integrators for Large Systems of Differential Equations.

[BibT_eX]

[DOI]

,

,

Hubert Selhofer

SIAM J. Sci. Comput., 1998

Error Analysis of Krylov Methods In a Nutshell.

[BibT_eX]

[DOI]

,

SIAM J. Sci. Comput., 1998

Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization.

[BibT_eX]

[DOI]

,

Alexander Ostermann

Numerische Mathematik, 1998

Multirate Extrapolation Methods for Differential Equations with Different Time Scales.

[BibT_eX]

[DOI]

Ch. Engstler

,

Computing, 1997

Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term.

[BibT_eX]

[DOI]

,

Ian H. Sloan

,

Vidar Thomée

Math. Comput., 1996

Extrapolation integrators for constrained multibody systems.

[BibT_eX]

[DOI]

IMPACT Comput. Sci. Eng., 1991

Rosenbrock methods for differential-algebraic systems with solution-dependent singular matrix multiplying the derivative.

[BibT_eX]

[DOI]

,

Michel Roche

Computing, 1990

h<sup>2</sup>-Extrapolation methods for differential-algebraic systems of index 2.

[BibT_eX]

[DOI]