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Fully-discrete energy-preserving scheme for the space-fractional Klein-Gordon equation via Lagrange multiplier type scalar auxiliary variable approach - MaRDI portal

Fully-discrete energy-preserving scheme for the space-fractional Klein-Gordon equation via Lagrange multiplier type scalar auxiliary variable approach (Q2666522)

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Language	Label	Description	Also known as
English	Fully-discrete energy-preserving scheme for the space-fractional Klein-Gordon equation via Lagrange multiplier type scalar auxiliary variable approach	scientific article

Statements

scholarly article

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Fully-discrete energy-preserving scheme for the space-fractional Klein-Gordon equation via Lagrange multiplier type scalar auxiliary variable approach (English)

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Mathematics and Computers in Simulation

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publication date

22 November 2021

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zbMATH Keywords

space-fractional Klein-Gordon equation

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fully-discrete energy-preserving scheme

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scalar auxiliary variable approach

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Lagrange multiplier

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Fourier pseudo-spectral method

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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.matcom.2021.09.002

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Analysis and Approximation of a Fractional Cahn--Hilliard Equation

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A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein--Gordon Equation in the Nonrelativistic Limit Regime

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Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity

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Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime

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An Extension Problem Related to the Fractional Laplacian

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Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions

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Conservative local discontinuous Galerkin method for the fractional Klein-Gordon-Schrödinger system with generalized Yukawa interaction

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A new Lagrange multiplier approach for gradient flows

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A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition

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Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model

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Global Constraints Preserving Scalar Auxiliary Variable Schemes for Gradient Flows

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Sympletic Finite Difference Approximations of the Nonlinear Klein--Gordon Equation

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Asymptotic preserving schemes for the Klein-Gordon equation in the non-relativistic limit regime

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Structure-preserving algorithms for the two-dimensional fractional Klein-Gordon-Schrödinger equation

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A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach

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Fractional Partial Differential Equations and Their Numerical Solutions

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An efficient Hamiltonian numerical model for a fractional Klein-Gordon equation through weighted-shifted Grünwald differences

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A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-Zakharov system

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An analytic study on the approximate solution of a nonlinear time‐fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law

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An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense

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Dissipation-preserving Fourier pseudo-spectral method for the space fractional nonlinear sine-Gordon equation with damping

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An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy<sup>†</sup>

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An unconditionally energy stable scheme for simulating wrinkling phenomena of elastic thin films on a compliant substrate

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A fourth-order exponential wave integrator Fourier pseudo-spectral method for the Klein-Gordon equation

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A linearly implicit and local energy-preserving scheme for the sine-Gordon equation based on the invariant energy quadratization approach

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A linearly implicit energy-preserving exponential integrator for the nonlinear Klein-Gordon equation

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Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations

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Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations

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Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion

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Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations

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Numerical solution of time fractional nonlinear Klein-Gordon equation using sinc-Chebyshev collocation method

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A New Multi-Component Diffuse Interface Model with Peng-Robinson Equation of State and its Scalar Auxiliary Variable (SAV) Approach

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Spectral Methods

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The scalar auxiliary variable (SAV) approach for gradient flows

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A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

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On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations

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On the Appearance of the Fractional Derivative in the Behavior of Real Materials

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A family of effective structure-preserving schemes with second-order accuracy for the undamped sine-Gordon equation

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A linear, symmetric and energy-conservative scheme for the space-fractional Klein-Gordon-Schrödinger equations

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Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations

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Uniqueness and approximation of solution for fractional Bagley–Torvik equations with variable coefficients

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Efficient and linear schemes for anisotropic Cahn-Hilliard model using the stabilized-invariant energy quadratization (S-IEQ) approach

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A family of second-order energy-stable schemes for Cahn-Hilliard type equations

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Efficient Second Order Unconditionally Stable Schemes for a Phase Field Moving Contact Line Model Using an Invariant Energy Quadratization Approach

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Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method

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The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation

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Highly efficient invariant-conserving explicit Runge-Kutta schemes for nonlinear Hamiltonian differential equations

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Efficient SAV approach for imaginary time gradient flows with applications to one- and multi-component Bose-Einstein condensates

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.MATCOM.2021.09.002

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Sitelinks

Mathematics(1 entry)

mardi Publication:2666522

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