Maximum time step for high order BDF methods applied to gradient flows
DOI10.1007/s10092-022-00479-0zbMath1502.65047OpenAlexW4200634033WikidataQ114228521 ScholiaQ114228521MaRDI QIDQ2089083
Publication date: 6 October 2022
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-022-00479-0
gradient flowAllen-Cahn equationLasalle's invariance principleLojasiewicz inequalityBDF methodsemiconvex function
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical nonlinear stabilities in dynamical systems (65P40) Numerical methods for stiff equations (65L04)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- Convergence to equilibrium for the backward Euler scheme and applications
- On the equivalence of \(A\)-stability and \(G\)-stability
- Convergence to steady states in asymptotically autonomous semilinear evolution equations.
- The scalar auxiliary variable (SAV) approach for gradient flows
- Convergence to equilibrium of solutions of the backward Euler scheme for asymptotically autonomous second-order gradient-like systems
- Maximum time step for the BDF3 scheme applied to gradient flows
- On the convergence to equilibria of a sequence defined by an implicit scheme
- Convergence to equilibrium for time and space discretizations of the Cahn-Hilliard equation
- A new class of implicit-explicit BDF\(k\) SAV schemes for general dissipative systems and their error analysis
- A variant of scalar auxiliary variable approaches for gradient flows
- Convergence to equilibrium for a second-order time semi-discretization of the Cahn-Hilliard equation
- Asymptotics for some discretizations of dynamical systems, application to second order systems with non-local nonlinearities
- A generalized SAV approach with relaxation for dissipative systems
- Convergence to equilibrium for discretized gradient-like systems with analytic features
- Backward difference time discretization of parabolic differential equations on evolving surfaces
- The Convergence Problem for Dissipative Autonomous Systems
- G-stability is equivalent toA-stability
- Solving Ordinary Differential Equations I
- Multiplier techniques for linear multistep methods
- The Global Dynamics of Discrete Semilinear Parabolic Equations
- Gradient stability of high-order BDF methods and some applications
- The Energy Technique for the Six-Step BDF Method
- Solving Ordinary Differential Equations II
- Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations
- Stability of Implicit-Explicit Backward Difference Formulas For Nonlinear Parabolic Equations
- Convergence of the Iterates of Descent Methods for Analytic Cost Functions
- Integration of Stiff Equations
- REMARKS ON THE ASYMPTOTIC BEHAVIOR OF SCALAR AUXILIARY VARIABLE (SAV) SCHEMES FOR GRADIENT-LIKE FLOWS
This page was built for publication: Maximum time step for high order BDF methods applied to gradient flows