Error analysis of a linear unconditionally energy-stable leapfrog scheme for the Swift-Hohenberg equation (Q2700248)

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English	Error analysis of a linear unconditionally energy-stable leapfrog scheme for the Swift-Hohenberg equation	scientific article

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instance of

scholarly article

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title

Error analysis of a linear unconditionally energy-stable leapfrog scheme for the Swift-Hohenberg equation (English)

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Communications in Nonlinear Science and Numerical Simulation

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publication date

20 April 2023

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zbMATH Keywords

Swift-Hohenberg equation

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leapfrog scheme

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energy stability

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error analysis

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cnsns.2023.107185

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cites work

Pattern formation outside of equilibrium

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Analysis of nonlocal neural fields for both general and gamma-distributed connectivities

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Additive noise-induced Turing transitions in spatial systems with application to neural fields and the Swift-Hohenberg equation

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Spatial patterns. Higher order models in physics and mechanics

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The Global Dynamics of Discrete Semilinear Parabolic Equations

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A non-iterative and unconditionally energy stable method for the Swift-Hohenberg equation with quadratic-cubic nonlinearity

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On a Large Time-Stepping Method for the Swift-Hohenberg Equation

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A second order energy stable BDF numerical scheme for the Swift-Hohenberg equation

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A new space-time discretization for the Swift-Hohenberg equation that strictly respects the Lyapunov functional

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An energy-stable second-order finite element method for the Swift-Hohenberg equation

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Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

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Error estimate of a stabilized second-order linear predictor-corrector scheme for the Swift-Hohenberg equation

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An unconditionally energy-stable linear Crank-Nicolson scheme for the Swift-Hohenberg equation

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A semi-analytical Fourier spectral method for the Swift-Hohenberg equation

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A new conservative Swift-Hohenberg equation and its mass conservative method

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A fast and efficient numerical algorithm for Swift-Hohenberg equation with a nonlocal nonlinearity

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Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

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The scalar auxiliary variable (SAV) approach for gradient flows

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High order unconditionally energy stable RKDG schemes for the Swift-Hohenberg equation

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Novel energy stable schemes for Swift-Hohenberg model with quadratic-cubic nonlinearity based on the \(H^{-1}\)-gradient flow approach

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Energy dissipation-preserving time-dependent auxiliary variable method for the phase-field crystal and the Swift-Hohenberg models

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Unconditionally energy stable DG schemes for the Swift-Hohenberg equation

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A second-order BDF scheme for the Swift-Hohenberg gradient flows with quadratic-cubic nonlinearity and vacancy potential

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Convergence analysis for the invariant energy quadratization (IEQ) schemes for solving the Cahn-Hilliard and Allen-Cahn equations with general nonlinear potential

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A mixed discontinuous Galerkin method without interior penalty for time-dependent fourth order problems

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Q5189317

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Spectral Methods

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CNSNS.2023.107185

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Sitelinks

Mathematics(1 entry)

mardi Publication:2700248