A low rank tensor representation of linear transport and nonlinear Vlasov solutions and their associated flow maps
From MaRDI portal
Publication:2139008
DOI10.1016/j.jcp.2022.111089OpenAlexW3168761513WikidataQ114163347 ScholiaQ114163347MaRDI QIDQ2139008
Publication date: 17 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.08834
Numerical linear algebra (65Fxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Basic linear algebra (15Axx)
Related Items (4)
On the Stability of Robust Dynamical Low-Rank Approximations for Hyperbolic Problems ⋮ A Predictor-Corrector Strategy for Adaptivity in Dynamical Low-Rank Approximations ⋮ Accelerating the simulation of kinetic shear Alfvén waves with a dynamical low-rank approximation ⋮ A robust and conservative dynamical low-rank algorithm
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Tensor-Train Decomposition
- TT-cross approximation for multidimensional arrays
- Analysis and compression of six-dimensional gyrokinetic datasets using higher order singular value decomposition
- Spatially adaptive sparse grids for high-dimensional data-driven problems
- Advanced numerical approximation of nonlinear hyperbolic equations. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C. I. M. E.) held in Cetraro, Italy, June 23--28, 1997
- A dynamical adaptive tensor method for the Vlasov-Poisson system
- Black box approximation of tensors in hierarchical Tucker format
- Dynamic tensor approximation of high-dimensional nonlinear PDEs
- An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation
- A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation
- A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction
- Dynamically orthogonal tensor methods for high-dimensional nonlinear PDEs
- A new scheme for the tensor representation
- Decay of the Kolmogorov \(N\)-width for wave problems
- Sparse Grids for the Vlasov–Poisson Equation
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- Hierarchical Singular Value Decomposition of Tensors
- Tensor Spaces and Numerical Tensor Calculus
- Distributed hierarchical SVD in the Hierarchical Tucker format
- An Efficient Dynamical Low-Rank Algorithm for the Boltzmann-BGK Equation Close to the Compressible Viscous Flow Regime
- Spectral Methods for Time-Dependent Problems
- A Multilinear Singular Value Decomposition
- A Low-Rank Projector-Splitting Integrator for the Vlasov--Poisson Equation
- Random Sampling and Efficient Algorithms for Multiscale PDEs
- Algorithm 941
- Sparse grids
- A Semi-Lagrangian Vlasov Solver in Tensor Train Format
This page was built for publication: A low rank tensor representation of linear transport and nonlinear Vlasov solutions and their associated flow maps