Cover Image

A new flow dynamic approach for Wasserstein gradient flows

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Cheng, Qing, Liu, Qianqian, Chen, Wenbin, Shen, Jie
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis 65M06, 65M12, 35K65, 35A15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Adaptive time-stepping and maximum-principle preserving Lagrangian schemes for gradient flows
by: Liu, Qianqian, et al.
Published: (2025)

Structure preserving schemes for a class of Wasserstein gradient flows
by: Zhang, Shiheng, et al.
Published: (2024)

Convergence analysis of a second order numerical scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system
by: Chen, Wenbin, et al.
Published: (2024)

Maximum-Norm Error Estimates of Fourth-Order Compact and ADI Compact Finite Difference Methods for Nonlinear Coupled Bacterial Systems
by: Xu, Jie, et al.
Published: (2024)

Average energy dissipation rates of explicit exponential Runge-Kutta methods for gradient flow problems
by: Liao, Hong-lin, et al.
Published: (2024)

Average energy dissipation rates of additive implicit-explicit Runge-Kutta methods for gradient flow problems
by: Liao, Hong-lin, et al.
Published: (2024)

Original energy dissipation preserving corrections of integrating factor Runge-Kutta methods for gradient flow problems
by: Liao, Hong-lin, et al.
Published: (2024)

High-order exponential time differencing multi-resolution alternative finite difference WENO methods for nonlinear degenerate parabolic equations
by: Xu, Ziyao, et al.
Published: (2024)

Dynamic-stabilization-based linear schemes for the Allen-Cahn equation with degenerate mobility: MBP and energy stability
by: Fu, Hongfei, et al.
Published: (2025)

A linear unconditionally structure-preserving L1 scheme for the time-fractional Allen-Cahn equation
by: Hou, Dianming, et al.
Published: (2025)

Quasi-optimal time-space discretizations for a class of nonlinear parabolic PDEs
by: Beranek, Nina, et al.
Published: (2025)

Structure-preserving scheme for 1D KWC system
by: Okumura, Makoto, et al.
Published: (2025)

The Efficient Variable Time-stepping DLN Algorithms for the Allen-Cahn Model
by: Chen, YiMing, et al.
Published: (2024)

A unified framework on the original energy laws of three effective classes of Runge-Kutta methods for phase field crystal type models
by: Wang, Xuping, et al.
Published: (2024)

A Posteriori Error Analysis of Runge-Kutta Discontinuous Galerkin Schemes with SIAC Post-Processing for Nonlinear Convection-Diffusion Systems
by: Giesselmann, Jan, et al.
Published: (2026)

Strang splitting structure-preserving high-order compact difference schemes for nonlinear convection diffusion equations
by: Kuang, Baolin, et al.
Published: (2024)

Fractional-step High-order and Bound-preserving Method for Convection Diffusion Equations
by: Kuang, Baolin, et al.
Published: (2024)

Positivity preserving and mass conservative projection method for the Poisson-Nernst-Planck equation
by: Tong, Fenghua, et al.
Published: (2024)

High-order nonuniform time-stepping and MBP-preserving linear schemes for the time-fractional Allen-Cahn equation
by: Zhang, Bingyin, et al.
Published: (2025)

A class of refined implicit-explicit Runge-Kutta methods with robust time adaptability and unconditional convergence for the Cahn-Hilliard model
by: Liao, Hong-lin, et al.
Published: (2024)

Space-time virtual elements for the heat equation
by: Gómez, Sergio, et al.
Published: (2022)

Inf-sup stable space-time Local Discontinuous Galerkin method for the heat equation
by: Gómez, Sergio, et al.
Published: (2024)

A numerical scheme for a diffusion equation with nonlocal nonlinear boundary condition
by: Halder, Joydev, et al.
Published: (2022)

Analysis of gradient flow for computing defocusing action ground states of rotating nonlinear Schrödinger equations
by: Liu, Wei, et al.
Published: (2026)

SUPG-stabilized time-DG finite and virtual elements for the time-dependent advection-diffusion equation
by: Da Veiga, Lourenço Beirão, et al.
Published: (2024)

Optimal higher-order convergence rates for parabolic multiscale problems
by: Kalyanaraman, Balaje, et al.
Published: (2025)

Long-time stability analysis of an explicit exponential Runge-Kutta scheme for Cahn-Hilliard equations
by: Guo, Jing
Published: (2025)

On the stability of the low-rank projector-splitting integrators for hyperbolic and parabolic equations
by: Zhang, Shiheng, et al.
Published: (2025)

Galerkin-type time discretizations for parabolic and hyperbolic problems: stability and a priori error analysis
by: Gómez, Sergio
Published: (2026)

Convergence and error analysis of a semi-implicit finite volume scheme for the Gray--Scott system
by: Randrianasolo, Tsiry Avisoa
Published: (2025)

BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics: a-priori error estimates
by: Aldé, Michele, et al.
Published: (2026)

A minimizing movements approach for crystalline eikonal-curvature flows of spirals
by: Ohtsuka, Takeshi, et al.
Published: (2024)

Convergence analysis of three semi-discrete numerical schemes for nonlocal geometric flows including perimeter terms
by: Wei, Jiang, et al.
Published: (2024)

A Discontinuous Galerkin Scheme for the Cahn-Hilliard Equations with Discrete Maximum Principle for Arbitrary Polynomial Order
by: Gunnarsson, Jimmy Kornelije, et al.
Published: (2026)

A convergent algorithm for mean curvature flow of surfaces with Dirichlet boundary conditions
by: Ivaniszyn, Bárbara Solange, et al.
Published: (2025)

Stable fully practical finite element methods for axisymmetric Willmore flow
by: Garcke, Harald, et al.
Published: (2025)

Robust time-discretisation and linearisation schemes for singular and degenerate evolution systems modelling biofilm growth
by: Smeets, R. K. H., et al.
Published: (2024)

A weighted scalar auxiliary variable method for solving gradient flows: bridging the nonlinear energy-based and Lagrange multiplier approaches
by: Huang, Qiong-Ao, et al.
Published: (2024)

A posteriori error control for a finite volume scheme for a cross-diffusion model of ion transport
by: Berrens, Arne, et al.
Published: (2025)

Filtered Lie-Trotter splitting for the "good" Boussinesq equation: low regularity error estimates
by: Ji, Lun, et al.
Published: (2024)