Linearly implicit methods for Allen-Cahn equation
From MaRDI portal
Publication:6160581
DOI10.1016/j.amc.2023.127984OpenAlexW4361022760MaRDI QIDQ6160581
Murat Uzunca, Bülent Karasözen
Publication date: 26 June 2023
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2023.127984
Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)
Cites Work
- Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations
- Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation
- An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation
- Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method
- Unconventional schemes for a class of ordinary differential equations - with applications to the Korteweg-de Vries equation
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- The scalar auxiliary variable (SAV) approach for gradient flows
- Geometrical image segmentation by the Allen-Cahn equation
- Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme
- Linearly implicit local energy-preserving algorithm for a class of multi-symplectic Hamiltonian PDEs
- Numerical analysis for solving Allen-Cahn equation in 1D and 2D based on higher-order compact structure-preserving difference scheme
- Linearly implicit structure-preserving schemes for Hamiltonian systems
- Convergence analysis for the invariant energy quadratization (IEQ) schemes for solving the Cahn-Hilliard and Allen-Cahn equations with general nonlinear potential
- Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field method
- Discrete Variational Derivative Method
- A General Framework for Deriving Integral Preserving Numerical Methods for PDEs
- Energy Stable Discontinuous Galerkin Finite Element Method for the Allen–Cahn Equation
- A Relaxation Scheme for the Nonlinear Schrödinger Equation
- Geometric properties of Kahan's method
- Geometric Integration of ODEs Using Multiple Quadratic Auxiliary Variables
- Stabilized Crank-Nicolson/Adams-Bashforth Schemes for Phase Field Models
- Energy-diminishing integration of gradient systems
- A new class of energy-preserving numerical integration methods
This page was built for publication: Linearly implicit methods for Allen-Cahn equation
