Relaxation exponential Runge-Kutta methods and their applications to semilinear dissipative/conservative systems (Q6646461)

scientific article; zbMATH DE number 7952146

Language	Label	Description	Also known as
English	Relaxation exponential Runge-Kutta methods and their applications to semilinear dissipative/conservative systems	scientific article; zbMATH DE number 7952146

Statements

instance of

scholarly article

0 references

title

Relaxation exponential Runge-Kutta methods and their applications to semilinear dissipative/conservative systems (English)

0 references

0 references

0 references

0 references

Communications in Computational Physics

0 references

publication date

2 December 2024

0 references

zbMATH Keywords

explicit exponential Runge-Kutta methods

0 references

relaxation technique

0 references

high-order accuracy

0 references

structure-preserving property

0 references

MaRDI profile type

Publication

0 references

cites work

The periodic solutions of the discrete modified KdV equation with a self-consistent source

0 references

Numerical method satisfying the first two conservation laws for the Korteweg-de Vries equation

0 references

Long time behavior of solutions of gKdV equations

0 references

Structure-preserving Gauss methods for the nonlinear Schrödinger equation

0 references

High-order Mass- and Energy-conserving SAV-Gauss Collocation Finite Element Methods for the Nonlinear Schrödinger Equation

0 references

A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation

0 references

Mass- and energy-conserving difference schemes for nonlinear fractional Schrödinger equations

0 references

Local discontinuous Galerkin methods for nonlinear Schrödinger equations

0 references

Moving Mesh Finite Element Methods for the Incompressible Navier--Stokes Equations

0 references

Stability and Error Analysis of a Class of High-Order IMEX Schemes for Navier--Stokes Equations with Periodic Boundary Conditions

0 references

Analysis of fully discrete finite element methods for 2D Navier–Stokes equations with critical initial data

0 references

A Semi-implicit Exponential Low-Regularity Integrator for the Navier--Stokes Equations

0 references

A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations. I: Periodic domains

0 references

Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations

0 references

Linearly implicit and high-order energy-conserving schemes for nonlinear wave equations

0 references

A second-order low-regularity correction of Lie splitting for the semilinear Klein–Gordon equation

0 references

Numerical analysis of the Burgers' equation in the presence of uncertainty

0 references

The scalar auxiliary variable (SAV) approach for gradient flows

0 references

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

0 references

Variational multiscale element-free Galerkin method for 2D Burgers' equation

0 references

Energy- and Quadratic Invariants--Preserving Integrators Based upon Gauss Collocation Formulae

0 references

Multiple invariants conserving Runge-Kutta type methods for Hamiltonian problems

0 references

Geometric Numerical Integration

0 references

Q4714145

0 references

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

0 references

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

0 references

Q3687624

0 references

Geometric integration methods that preserve Lyapunov functions

0 references

Invariants preserving schemes based on explicit Runge-Kutta methods

0 references

Time integration and discrete Hamiltonian systems

0 references

Geometric integration using discrete gradients

0 references

A new class of energy-preserving numerical integration methods

0 references

Q2960810

0 references

Hamiltonian Boundary Value Methods (Energy Conserving Discrete Line Integral Methods)

0 references

A simple framework for the derivation and analysis of effective one-step methods for ODEs

0 references

Line Integral Methods for Conservative Problems

0 references

Exponential Integrators Preserving First Integrals or Lyapunov Functions for Conservative or Dissipative Systems

0 references

Exponential energy-preserving methods for charged-particle dynamics in a strong and constant magnetic field

0 references

Energy-Preserving Continuous-Stage Exponential Runge--Kutta Integrators for Efficiently Solving Hamiltonian Systems

0 references

Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy

0 references

The Global Dynamics of Discrete Semilinear Parabolic Equations

0 references

Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy

0 references

Stabilized Crank-Nicolson/Adams-Bashforth Schemes for Phase Field Models

0 references

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

0 references

Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models

0 references

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

0 references

Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach

0 references

Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation

0 references

Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation

0 references

A novel fully-decoupled, second-order and energy stable numerical scheme of the conserved Allen-Cahn type flow-coupled binary surfactant model

0 references

On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model

0 references

A fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow system

0 references

A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations

0 references

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

0 references

General relaxation methods for initial-value problems with application to multistep schemes

0 references

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

0 references

Relaxation Exponential Rosenbrock-Type Methods for Oscillatory Hamiltonian Systems

0 references

Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs

0 references

Linearly implicit and high-order energy-preserving relaxation schemes for highly oscillatory Hamiltonian systems

0 references

Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation

0 references

Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes

0 references

Energy-decreasing exponential time differencing Runge-Kutta methods for phase-field models

0 references

Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection

0 references

Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations

0 references

Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems

0 references

Projection methods preserving Lyapunov functions

0 references

New conservative difference schemes with fourth‐order accuracy for some model equation for nonlinear dispersive waves

0 references

Generalized integrating factor methods for stiff PDEs

0 references

Identifiers

DOI

10.4208/cicp.oa-2023-0241

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6646461