Stability and Robustness of Time-discretization Schemes for the Allen-Cahn Equation via Bifurcation and Perturbation Analysis
Fuente:
arXiv
Saved in:
| Main Authors: | Hao, Wenrui, Lee, Sun, Xu, Xiaofeng, Xu, Zhiliang |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Asymptotically compatible energy and dissipation law of the nonuniform L2-$1_σ$ scheme for time fractional Allen-Cahn model
by: Liao, Hong-lin, et al.
Published: (2023)
by: Liao, Hong-lin, et al.
Published: (2023)
Convergence analysis for a finite-volume scheme for the Euler- and Navier-Stokes-Korteweg system via energy-variational solutions
by: Eiter, Thomas, et al.
Published: (2026)
by: Eiter, Thomas, et al.
Published: (2026)
$L^2$ norm error estimates of BDF methods up to fifth-order for the phase field crystal model
by: Liao, Hong-lin, et al.
Published: (2022)
by: Liao, Hong-lin, et al.
Published: (2022)
The Efficient Variable Time-stepping DLN Algorithms for the Allen-Cahn Model
by: Chen, YiMing, et al.
Published: (2024)
by: Chen, YiMing, et al.
Published: (2024)
Asymptotically compatible energy of variable-step fractional BDF2 formula for time-fractional Cahn-Hilliard model
by: Liao, Hong-lin, et al.
Published: (2022)
by: Liao, Hong-lin, et al.
Published: (2022)
Unconditionally Energy Stable Second Order Numerical Scheme for a Microemulsion model
by: Sharma, Natasha S., et al.
Published: (2025)
by: Sharma, Natasha S., et al.
Published: (2025)
Convergence of a Finite Volume Scheme for the Navier-Stokes-Korteweg Model via Dissipative Solutions
by: Giesselmann, Jan, et al.
Published: (2026)
by: Giesselmann, Jan, et al.
Published: (2026)
Convex-concave splitting for the Allen-Cahn equation leads to $\varepsilon^2$-slow movement of interfaces
by: Dondl, Patrick, et al.
Published: (2025)
by: Dondl, Patrick, et al.
Published: (2025)
Asymptotic preserving finite volume method for the compressible Euler equations: analysis via dissipative measure-valued solutions
by: Arun, K. R., et al.
Published: (2024)
by: Arun, K. R., et al.
Published: (2024)
A linear unconditionally structure-preserving L1 scheme for the time-fractional Allen-Cahn equation
by: Hou, Dianming, et al.
Published: (2025)
by: Hou, Dianming, et al.
Published: (2025)
An energy stable and conservative multiplicative dynamical low-rank discretization for the Su-Olson problem
by: Baumann, Lena, et al.
Published: (2025)
by: Baumann, Lena, et al.
Published: (2025)
Error estimates of linear decoupled structure-preserving incremental viscosity splitting methods for the Cahn--Hilliard--Navier--Stokes system
by: Kuang, Baolin, et al.
Published: (2025)
by: Kuang, Baolin, et al.
Published: (2025)
A Comparative Study of Iterative Riemann Solvers for the Shallow Water and Euler Equations
by: Moncayo, Carlos Muñoz, et al.
Published: (2022)
by: Moncayo, Carlos Muñoz, et al.
Published: (2022)
Convergence of a finite volume method to weak solutions for the compressible Navier-Stokes-Fourier system
by: Feireisl, Eduard, et al.
Published: (2026)
by: Feireisl, Eduard, et al.
Published: (2026)
An Energy Stable and Well-balanced Scheme for the Ripa System
by: Arun, K. R., et al.
Published: (2024)
by: Arun, K. R., et al.
Published: (2024)
An Asymptotic Preserving and Energy Stable Scheme for the Euler System with Congestion Constraint
by: Arun, K. R., et al.
Published: (2024)
by: Arun, K. R., et al.
Published: (2024)
Justification of a Relaxation Approximation for the Navier-Stokes-Cahn-Hilliard System
by: Giesselmann, Jan, et al.
Published: (2026)
by: Giesselmann, Jan, et al.
Published: (2026)
Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws
by: Cui, Shumo, et al.
Published: (2024)
by: Cui, Shumo, et al.
Published: (2024)
An Asymptotic Preserving Scheme for the Euler-Poisson-Boltzmann System in the Quasineutral Limit
by: Arun, K. R., et al.
Published: (2024)
by: Arun, K. R., et al.
Published: (2024)
Structure-preserving local discontinuous Galerkin discretization of conformational conversion systems
by: Antonietti, Paola F., et al.
Published: (2025)
by: Antonietti, Paola F., et al.
Published: (2025)
A Bound Preserving Energy Stable Scheme for a Nonlocal Cahn-Hilliard Equation
by: Lyons, Rainey, et al.
Published: (2024)
by: Lyons, Rainey, et al.
Published: (2024)
Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows
by: Agnihotri, Jaya, et al.
Published: (2026)
by: Agnihotri, Jaya, et al.
Published: (2026)
A Convergent Structure-Preserving Scheme for Dissipative Solutions of the Rotating Shallow Water System
by: Arun, K. R., et al.
Published: (2025)
by: Arun, K. R., et al.
Published: (2025)
Edge-based discretizations on triangulations in $\mathbb{R}^d$, with special attention to four-dimensional space
by: Tufillaro, Nicholas, et al.
Published: (2024)
by: Tufillaro, Nicholas, et al.
Published: (2024)
Explicit symmetric low-regularity integrators for the nonlinear Schrödinger equation
by: Feng, Yue, et al.
Published: (2024)
by: Feng, Yue, et al.
Published: (2024)
Stability and error analysis of fully discrete original energy-dissipative and length-preserving scheme for the Landau-Lifshitz-Gilbert equation
by: Li, Binghong, et al.
Published: (2026)
by: Li, Binghong, et al.
Published: (2026)
Continuous, Semi-discrete, and Fully Discretized Navier-Stokes Equations
by: Altmann, Robert, et al.
Published: (2019)
by: Altmann, Robert, et al.
Published: (2019)
Filtered Lie-Trotter splitting for the "good" Boussinesq equation: low regularity error estimates
by: Ji, Lun, et al.
Published: (2024)
by: Ji, Lun, et al.
Published: (2024)
A Parallel, Energy-Stable Low-Rank Integrator for Nonlinear Multi-Scale Thermal Radiative Transfer
by: Patwardhan, Chinmay, et al.
Published: (2025)
by: Patwardhan, Chinmay, et al.
Published: (2025)
Asymptotic-preserving and energy stable dynamical low-rank approximation for thermal radiative transfer equations
by: Patwardhan, Chinmay, et al.
Published: (2024)
by: Patwardhan, Chinmay, et al.
Published: (2024)
Spatial Approximation for Evolutionary Equations
by: Buchinger, Andreas, et al.
Published: (2025)
by: Buchinger, Andreas, et al.
Published: (2025)
Convergence analysis for a fully-discrete finite element approximation of the unsteady $p(\cdot,\cdot)$-Navier-Stokes equations
by: Berselli, Luigi C., et al.
Published: (2024)
by: Berselli, Luigi C., 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)
by: Xu, Jie, et al.
Published: (2024)
Space-Time FEM for the Vectorial Wave Equation under Consideration of Ohm's Law
by: Hauser, Julia I. M.
Published: (2023)
by: Hauser, Julia I. M.
Published: (2023)
Structure-preserving upwind DG scheme for a Cahn-Hilliard-Darcy model of tumor growth
by: Acosta-Soba, Daniel, et al.
Published: (2026)
by: Acosta-Soba, Daniel, et al.
Published: (2026)
Serendipity discrete complexes with enhanced regularity
by: Di Pietro, Daniele, et al.
Published: (2024)
by: Di Pietro, Daniele, et al.
Published: (2024)
Nonlinear PDEs with modulated dispersion IV: normal form approach and unconditional uniqueness
by: Gubinelli, Massimiliano, et al.
Published: (2025)
by: Gubinelli, Massimiliano, et al.
Published: (2025)
A separable and asymptotic-preserving dynamical low-rank method for the Vlasov-Poisson-Fokker-Planck system
by: Zhang, Shiheng, et al.
Published: (2026)
by: Zhang, Shiheng, et al.
Published: (2026)
A Numerov-Crank-Nicolson-Strang scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
by: Zlotnik, Alexander, et al.
Published: (2013)
by: Zlotnik, Alexander, et al.
Published: (2013)
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)
by: Gunnarsson, Jimmy Kornelije, et al.
Published: (2026)
Similar Items
-
Asymptotically compatible energy and dissipation law of the nonuniform L2-$1_σ$ scheme for time fractional Allen-Cahn model
by: Liao, Hong-lin, et al.
Published: (2023) -
Convergence analysis for a finite-volume scheme for the Euler- and Navier-Stokes-Korteweg system via energy-variational solutions
by: Eiter, Thomas, et al.
Published: (2026) -
$L^2$ norm error estimates of BDF methods up to fifth-order for the phase field crystal model
by: Liao, Hong-lin, et al.
Published: (2022) -
The Efficient Variable Time-stepping DLN Algorithms for the Allen-Cahn Model
by: Chen, YiMing, et al.
Published: (2024) -
Asymptotically compatible energy of variable-step fractional BDF2 formula for time-fractional Cahn-Hilliard model
by: Liao, Hong-lin, et al.
Published: (2022)