Matrix-Free Stabilized BDF Schemes for Semilinear Parabolic Equations with Unconditional Maximum Bound Principle Preservation and Energy Stability
Fuente:
arXiv
Saved in:
| Main Authors: | Dai, Haishen, Lei, Huan, Zheng, Bin |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Hybrid Explicit-Implicit Predictor-Corrector Exponential Time-Differencing Multistep Padé Schemes for Semilinear Parabolic Equations with Time-Delay
by: Dai, Haishen, et al.
Published: (2025)
by: Dai, Haishen, et al.
Published: (2025)
A Linear Unconditionally Maximum Bound Principle‐Preserving BDF2 Scheme for the Mass‐Conservative Allen‐Cahn Equation
by: Dianming Hou, et al.
Published: (2025)
by: Dianming Hou, et al.
Published: (2025)
Maximum Bound Principle and Bound Preserving ETD schemes for a Phase-Field Model of Tumor Growth with Extracellular Matrix Degradation
by: Huang, Qiumei, et al.
Published: (2025)
by: Huang, Qiumei, et al.
Published: (2025)
An Unconditionally Energy-Stable and Orthonormality-Preserving Iterative Scheme for the Kohn-Sham Gradient Flow Based Model
by: Wang, Xiuping, et al.
Published: (2023)
by: Wang, Xiuping, et al.
Published: (2023)
Multi-Scale Kinetic Simulation: Asymptotic Preserving IMEX-BDF-DG Schemes with Three Implicit-Explicit Partitionings
by: Matsuda, Kimberly, et al.
Published: (2026)
by: Matsuda, Kimberly, et al.
Published: (2026)
SSBE-PINN: A Sobolev Boundary Scheme Boosting Stability and Accuracy in Elliptic/Parabolic PDE Learning
by: Zhou, Qixuan, et al.
Published: (2025)
by: Zhou, Qixuan, et al.
Published: (2025)
Positivity and Maximum Principle Preserving Discontinuous Galerkin Finite Element Schemes for a Coupled Flow and Transport
by: Gong, Shihua, et al.
Published: (2024)
by: Gong, Shihua, et al.
Published: (2024)
Inf-Sup Stability of Parabolic TraceFEM
by: Bouck, Lucas, et al.
Published: (2024)
by: Bouck, Lucas, et al.
Published: (2024)
A Non-compact Positivity-Preserving Scheme for Parabolic PDE via Conditional Expectation
by: Xu, Haoran, et al.
Published: (2026)
by: Xu, Haoran, et al.
Published: (2026)
Strong Stability Preservation for Stochastic Partial Differential Equations
by: Woodfield, James
Published: (2024)
by: Woodfield, James
Published: (2024)
Rusanov-type Schemes for Hyperbolic Equations: Wave-Speed Estimates, Monotonicity and Stability
by: Toro, Eleuterio F., et al.
Published: (2024)
by: Toro, Eleuterio F., et al.
Published: (2024)
An Unconditionally Stable Explicit Robin-Robin Partitioned Scheme for Fluid-Structure Interaction
by: Guo, Shihan, et al.
Published: (2025)
by: Guo, Shihan, et al.
Published: (2025)
Stability and Convergence Analysis of an Exact Finite Difference Scheme for Fredholm Integro-Differential Equations
by: Alam, Mehebub, et al.
Published: (2024)
by: Alam, Mehebub, et al.
Published: (2024)
A Proximal Primal-Dual Approach to Generalized JKO Schemes for Doubly Nonlinear Parabolic Equations
by: Briceño-Arias, Luis M., et al.
Published: (2026)
by: Briceño-Arias, Luis M., et al.
Published: (2026)
Mass-Lumped Virtual Element Method with Strong Stability-Preserving Runge-Kutta Time Stepping for Two-Dimensional Parabolic Problems
by: Enabe, Paulo Akira F., et al.
Published: (2025)
by: Enabe, Paulo Akira F., et al.
Published: (2025)
Bound-Preserving WENO Schemes for Temple-class systems
by: Chen, Wei, et al.
Published: (2025)
by: Chen, Wei, et al.
Published: (2025)
Convergence analysis of PM-BDF2 method for quasiperiodic parabolic equations
by: Jiang, Kai, et al.
Published: (2024)
by: Jiang, Kai, et al.
Published: (2024)
Optimal-Transport Stability of Inverse Point-Source Problems for Elliptic and Parabolic Equations
by: Qiu, Lingyun, et al.
Published: (2025)
by: Qiu, Lingyun, et al.
Published: (2025)
Convergence Analysis of a Linear, Unconditionally Energy-Stable SAV Finite Element Method for the Cahn-Hilliard Equation
by: Li, Na, et al.
Published: (2026)
by: Li, Na, et al.
Published: (2026)
Unconditional Stability for Numerical Scheme Combining Implicit Timestepping for Local Effects and Explicit Timestepping for Nonlocal Effects
by: Anitescu, Mihai, et al.
Published: (2003)
by: Anitescu, Mihai, et al.
Published: (2003)
A Mass Preserving Numerical Scheme for Kinetic Equations that Model Social Phenomena
by: Bahid, Yassin, et al.
Published: (2025)
by: Bahid, Yassin, et al.
Published: (2025)
A Stabilized Unfitted Space-time Finite Element Method for Parabolic Problems on Moving Domains
by: Wang, Ruizhi, et al.
Published: (2025)
by: Wang, Ruizhi, et al.
Published: (2025)
Conditional Stability and Numerical Reconstruction of a Parabolic Inverse Source Problem Using Carleman Estimates
by: Hu, Tianhao, et al.
Published: (2025)
by: Hu, Tianhao, et al.
Published: (2025)
Structural Inconsistency and Stability Classification of Multi-symplectic Diamond Schemes
by: Sato, Kaito, et al.
Published: (2026)
by: Sato, Kaito, et al.
Published: (2026)
Unconditionally Stable, Variable Step DLN Methods for the Allen-Cahn Active Fluid Model: A Divergence-free Preserving Approach
by: Zheng, Nan, et al.
Published: (2025)
by: Zheng, Nan, et al.
Published: (2025)
Bound-Preserving Flux-Corrected Transport Methods for Solving Richards' Equation
by: Barua, Arnob, et al.
Published: (2026)
by: Barua, Arnob, et al.
Published: (2026)
Energy Conservative Relaxation-Free Runge-Kutta Schemes
by: Najafian, Mohammad R., et al.
Published: (2024)
by: Najafian, Mohammad R., et al.
Published: (2024)
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)
Using BDF schemes in the temporal integration of POD-ROM methods
by: García-Archilla, Bosco, et al.
Published: (2025)
by: García-Archilla, Bosco, et al.
Published: (2025)
The weighted and shifted seven-step BDF method for parabolic equations
by: Akrivis, Georgios, et al.
Published: (2024)
by: Akrivis, Georgios, et al.
Published: (2024)
A second-order generalized BDF method for the two-dimensional (modified) Fisher-Kolmogorov-Petrovsky-Piskunov equation
by: Ge, Lei, et al.
Published: (2025)
by: Ge, Lei, et al.
Published: (2025)
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations
by: Zhao, Chengchao, et al.
Published: (2022)
by: Zhao, Chengchao, et al.
Published: (2022)
Error analysis of BDF schemes for the evolutionary incompressible Navier--Stokes equations
by: García-Archilla, Bosco, et al.
Published: (2025)
by: García-Archilla, Bosco, et al.
Published: (2025)
The Stochastic TR-BDF2 Scheme of Order 2
by: Caraballo, Tomás, et al.
Published: (2026)
by: Caraballo, Tomás, et al.
Published: (2026)
Stabilizing Physics-Informed Consistency Models via Structure-Preserving Training
by: Chang, Che-Chia, et al.
Published: (2026)
by: Chang, Che-Chia, et al.
Published: (2026)
A Non-compact Positivity-Preserving Numerical Scheme for Elliptic Differential Equations Based on Mathematical Expectation
by: Xu, Haoran, et al.
Published: (2026)
by: Xu, Haoran, et al.
Published: (2026)
Energy dissipation law and maximum bound principle-preserving linear BDF2 schemes with variable steps for the Allen-Cahn equation
by: Zhang, Bingyin, et al.
Published: (2025)
by: Zhang, Bingyin, et al.
Published: (2025)
Arbitrary High-Order Maximum Principle-Preserving and Energy Dissipating Schemes for Gradient Flows
by: Cheng, Qing, et al.
Published: (2025)
by: Cheng, Qing, et al.
Published: (2025)
On the Strong Stability Preserving Property of Runge-Kutta Methods for Hyperbolic Problems
by: Najafian, Mohammad R., et al.
Published: (2026)
by: Najafian, Mohammad R., et al.
Published: (2026)
Correction of weighted and shifted seven-step BDF for parabolic equations with nonsmooth data
by: Chen, Minghua, et al.
Published: (2025)
by: Chen, Minghua, et al.
Published: (2025)
Similar Items
-
Hybrid Explicit-Implicit Predictor-Corrector Exponential Time-Differencing Multistep Padé Schemes for Semilinear Parabolic Equations with Time-Delay
by: Dai, Haishen, et al.
Published: (2025) -
A Linear Unconditionally Maximum Bound Principle‐Preserving BDF2 Scheme for the Mass‐Conservative Allen‐Cahn Equation
by: Dianming Hou, et al.
Published: (2025) -
Maximum Bound Principle and Bound Preserving ETD schemes for a Phase-Field Model of Tumor Growth with Extracellular Matrix Degradation
by: Huang, Qiumei, et al.
Published: (2025) -
An Unconditionally Energy-Stable and Orthonormality-Preserving Iterative Scheme for the Kohn-Sham Gradient Flow Based Model
by: Wang, Xiuping, et al.
Published: (2023) -
Multi-Scale Kinetic Simulation: Asymptotic Preserving IMEX-BDF-DG Schemes with Three Implicit-Explicit Partitionings
by: Matsuda, Kimberly, et al.
Published: (2026)