Cover Image

Splitting-based randomized dynamical low-rank approximations for stiff matrix differential equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Wu, Zi, Zhao, Yong-Liang, Gu, Xian-Ming
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

An adaptive low-rank splitting approach for the extended Fisher--Kolmogorov equation
by: Zhao, Yong-Liang, et al.
Published: (2022)

An efficient solver based on low-rank approximation and Neumann matrix series for unsteady diffusion-type partial differential equations with random coefficients
by: Zhu, Yujun, et al.
Published: (2026)

A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations
by: Zhao, Yong-Liang, et al.
Published: (2020)

Efficient adaptive randomized algorithms for fixed-threshold low-rank matrix approximation
by: Liu, Qiaohua, et al.
Published: (2025)

Low-rank plus diagonal approximations for Riccati-like matrix differential equations
by: Bonnabel, Silvère, et al.
Published: (2024)

Superfast iterative refinement of low rank approximation of a matrix based on ALS method and random sampling
by: Luan, Qi, et al.
Published: (2019)

Efficient quaternion CUR method for low-rank approximation to quaternion matrix
by: Wu, Peng-Ling, et al.
Published: (2024)

An alternating low-rank projection approach for partial differential equations with random inputs
by: Wang, Guanjie, et al.
Published: (2024)

A preconditioning technique for an all-at-once system from Volterra subdiffusion equations with graded time steps
by: Zhao, Yong-Liang, et al.
Published: (2020)

Randomized strong rank-revealing QR for column subset selection and low-rank matrix approximation
by: Grigori, Laura, et al.
Published: (2025)

Fast randomized algorithms for low-rank matrix approximations with applications in global comparative analysis of a class of data sets
by: Xu, Weiwei, et al.
Published: (2024)

Dynamical low-rank approximation for the semiclassical Schrodinger equation with uncertainties
by: Liu, Liu, et al.
Published: (2026)

Measurability and continuity of parametric low-rank approximation in Hilbert spaces: linear operators and random variables
by: Franco, Nicola Rares
Published: (2024)

Time integration of quantized tensor trains using the interpolative dynamical low-rank approximation
by: Ye, Erika, et al.
Published: (2025)

Collocation methods for nonlinear differential equations on low-rank manifolds
by: Dektor, Alec
Published: (2024)

Projected exponential methods for stiff dynamical low-rank approximation problems
by: Carrel, Benjamin, et al.
Published: (2023)

Stage-Parallel Implicit Runge--Kutta methods via low-rank matrix equation corrections
by: Durastante, Fabio, et al.
Published: (2025)

A two-phase rank-based algorithm for low-rank matrix completion
by: Araújo, Tacildo de Souza, et al.
Published: (2022)

Fast adaptive tubal rank-revealing algorithm for t-product based tensor approximation
by: Liu, Qiaohua, et al.
Published: (2025)

Interpolatory dynamical low-rank approximation for the 3+3d Boltzmann-BGK equation
by: Dektor, Alec, et al.
Published: (2024)

Spectral analysis of the stiffness matrix sequence in the approximated Stokes equation
by: Ferri, Samuele, et al.
Published: (2025)

From low-rank retractions to dynamical low-rank approximation and back
by: Séguin, Axel, et al.
Published: (2023)

A fast low-rank inversion algorithm of dielectric matrix in GW approximation
by: Zhou, Zhengbang, et al.
Published: (2024)

Randomized low-rank approximation of parameter-dependent matrices
by: Kressner, Daniel, et al.
Published: (2023)

Modified Singly-Runge-Kutta-TASE methods for the numerical solution of stiff differential equations
by: Calvo, M., et al.
Published: (2024)

A unified error analysis for randomized low-rank approximation with application to data assimilation
by: Di Perrotolo, Alexandre Scotto, et al.
Published: (2024)

A space-time adaptive low-rank method for high-dimensional parabolic partial differential equations
by: Bachmayr, Markus, et al.
Published: (2023)

Error Analysis of Krylov Subspace approximation Based on IDR($s$) Method for Matrix Function Bilinear Forms
by: Xue, Qianqian, et al.
Published: (2025)

Matrices over a Hilbert space and their low-rank approximation
by: Budzinskiy, Stanislav
Published: (2025)

Quaternion tensor low rank Quaternion tensor low-rank approximation using a family of non-convex norms
by: Zahir, Alaeddine, et al.
Published: (2024)

Block subsampled randomized Hadamard transform for low-rank approximation on distributed architectures
by: Balabanov, Oleg, et al.
Published: (2022)

Evaluation of data driven low-rank matrix factorization for accelerated solutions of the Vlasov equation
by: Jonnalagadda, Bhavana, et al.
Published: (2024)

On convergence of residual-based extended randomized Kaczmarz methods for matrix equations
by: Bao, Wendi, et al.
Published: (2026)

Geometric low-rank approximation of the Zeitlin model of incompressible fluids on the sphere
by: Pagliantini, Cecilia
Published: (2024)

Parametric kernel low-rank approximations using tensor train decomposition
by: Khan, Abraham, et al.
Published: (2024)

Better than best low-rank approximation with the singular value decomposition
by: Gleich, David F.
Published: (2024)

A low-rank solver for the Stokes-Darcy model with random hydraulic conductivity and Beavers-Joseph condition
by: Zhu, Yujun, et al.
Published: (2025)

Exponential Euler method for stiff stochastic differential equations with additive fractional Brownian noise
by: Kamrani, Minoo, et al.
Published: (2023)

Splitting finite element approximations for quasi-static electroporoelasticity equations
by: Liu, Xuan, et al.
Published: (2025)

Adaptive low-rank exponential integrators for large-scale differential Riccati equation
by: Li, Jinyi, et al.
Published: (2026)