Highly efficient invariant-conserving explicit Runge-Kutta schemes for nonlinear Hamiltonian differential equations (Q2124555)

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

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instance of

scholarly article

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title

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

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Journal of Computational Physics

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publication date

11 April 2022

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zbMATH Keywords

nonlinear Hamiltonian differential equations

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invariant energy quadratization

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quadratic invariant-conserving

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explicit Runge-Kutta scheme

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describes a project that uses

RRK_rr

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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.jcp.2020.109598

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cites work

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Energy-diminishing integration of gradient systems

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Explicit methods based on a class of four stage fourth order Runge-Kutta methods for preserving quadratic laws

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On the Preservation of Invariants by Explicit Runge--Kutta Methods

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Relaxation Runge--Kutta Methods: Conservation and Stability for Inner-Product Norms

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Relaxation Runge--Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier--Stokes Equations

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Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model

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Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model

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Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method

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

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An efficient energy-preserving algorithm for the Lorentz force system

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Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation

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Novel high-order energy-preserving diagonally implicit Runge-Kutta schemes for nonlinear Hamiltonian ODEs

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Efficient numerical scheme for a dendritic solidification phase field model with melt convection

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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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Highly efficient and accurate numerical schemes for the epitaxial thin film growth models by using the SAV approach

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Step-by-step solving schemes based on scalar auxiliary variable and invariant energy quadratization approaches for gradient flows

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A roadmap for discretely energy-stable schemes for dissipative systems based on a generalized auxiliary variable with guaranteed positivity

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Numerical Methods for Ordinary Differential Equations

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Numerical solution of isospectral flows

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Multi-symplectic structures and wave propagation

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Spectral Methods for Time-Dependent Problems

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Adaptive Second-Order Crank--Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models

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

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A two-step, fourth-order method with energy preserving properties

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A Sixth Order Averaged Vector Field Method

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Symplectic and multi-symplectic wavelet collocation methods for two-dimensional Schrödinger equations

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Hamiltonian Boundary Value Method for the Nonlinear Schrödinger Equation and the Korteweg-de Vries Equation

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Efficient implementation of essentially nonoscillatory shock-capturing schemes

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Identifiers

DOI

10.1016/j.jcp.2020.109598

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2124555