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High-order linearly implicit schemes conserving quadratic invariants - MaRDI portal

High-order linearly implicit schemes conserving quadratic invariants (Q6106927)

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scientific article; zbMATH DE number 7705764

Language	Label	Description	Also known as
English	High-order linearly implicit schemes conserving quadratic invariants	scientific article; zbMATH DE number 7705764

Statements

scholarly article

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High-order linearly implicit schemes conserving quadratic invariants (English)

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John C. Butcher

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Applied Numerical Mathematics

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publication date

3 July 2023

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full work available at URL

https://arxiv.org/abs/2203.00944

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zbMATH Keywords

ordinary differential equations

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quadratic invariants

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geometric numerical integration

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linearly implicit schemes

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canonical Runge-Kutta methods

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MaRDI profile type

MaRDI publication profile

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Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations

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A Relaxation Scheme for the Nonlinear Schrödinger Equation

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Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field'' method

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Linear energy-preserving integrators for Poisson systems

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Stability of Runge-Kutta Methods for Trajectory Problems

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A General Framework for Deriving Integral Preserving Numerical Methods for PDEs

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Interpolants for Runge-Kutta formulas

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A Practical Guide to Pseudospectral Methods

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Finite difference schemes for \(\frac{\partial u}{\partial t}=(\frac{\partial}{\partial x})^\alpha\frac{\delta G}{\delta u}\) that inherit energy conservation or dissipation property

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Discrete Variational Derivative Method

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Arbitrarily high-order linear energy stable schemes for gradient flow models

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Time integration and discrete Hamiltonian systems

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Geometric Numerical Integration

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Solving Ordinary Differential Equations I

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Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations

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Unified Approach to Hamiltonian Systems, Poisson Systems, Gradient Systems, and Systems with Lyapunov Functions or First Integrals

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Geometric integration using discrete gradients

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A derivation of energy-preserving exponentially-fitted integrators for Poisson systems

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The scalar auxiliary variable (SAV) approach for gradient flows

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Geometric exponential integrators

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Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model

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Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme

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

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.APNUM.2023.02.005

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Sitelinks

Mathematics(1 entry)

mardi Publication:6106927

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