Rank-adaptive dynamical low-rank integrators for first-order and second-order matrix differential equations
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Publication:2695260
DOI10.1007/s10543-023-00942-6OpenAlexW4318718156MaRDI QIDQ2695260
Marlis Hochbruck, Stefan Schrammer, Markus Neher
Publication date: 30 March 2023
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-023-00942-6
Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for stiff equations (65L04)
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Cites Work
- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- A parallel implementation of a two-dimensional fluid laser-plasma integrator for stratified plasma-vacuum systems
- Generalizing global error estimation for ordinary differential equations by using coupled time-stepping methods
- Rank-adaptive tensor methods for high-dimensional nonlinear PDEs
- A rank-adaptive robust integrator for dynamical low-rank approximation
- An unconventional robust integrator for dynamical low-rank approximation
- A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations
- An adaptive dynamical low rank method for the nonlinear Boltzmann equation
- Linearized ADI schemes for two-dimensional space-fractional nonlinear Ginzburg-Landau equation
- Localized numerical impulse solutions in diffuse neural networks modeled by the complex fractional Ginzburg-Landau equation
- The solution of the two-dimensional sine-Gordon equation using the method of lines
- A projector-splitting integrator for dynamical low-rank approximation
- Fractional generalization of the Ginzburg-Landau equation: an unconventional approach to critical phenomena in complex media
- Numerical solution of nonlinear wave equations in stratified dispersive media
- Hadamard products and multivariate statistical analysis
- Discretized Dynamical Low-Rank Approximation in the Presence of Small Singular Values
- Shift-Invert Arnoldi Approximation to the Toeplitz Matrix Exponential
- Solving Ordinary Differential Equations I
- Time Integration of Rank-Constrained Tucker Tensors
- Rank-adaptive structure-preserving model order reduction of Hamiltonian systems
- Time Integration of Tree Tensor Networks
- A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation
- Convergence of a Low-Rank Lie--Trotter Splitting for Stiff Matrix Differential Equations
- Time Integration of Tensor Trains
- An explicit numerical scheme for the Sine-Gordon equation in 2+1 dimensions
- Dynamical Low‐Rank Approximation
- Psi-series solution of fractional Ginzburg–Landau equation