High-order explicit conservative exponential integrator schemes for fractional Hamiltonian PDEs (Q2058406)

scientific article; zbMATH DE number 7441558

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English	High-order explicit conservative exponential integrator schemes for fractional Hamiltonian PDEs	scientific article; zbMATH DE number 7441558

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instance of

scholarly article

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title

High-order explicit conservative exponential integrator schemes for fractional Hamiltonian PDEs (English)

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Applied Numerical Mathematics

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publication date

9 December 2021

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zbMATH Keywords

fractional Hamiltonian PDEs

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explicit energy-preserving schemes

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exponential time differencing

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projection technique

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.apnum.2021.10.011

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cites work

A new class of time discretization schemes for the solution of nonlinear PDEs

0 references

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

0 references

A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator

0 references

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

0 references

Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs

0 references

Local energy-preserving and momentum-preserving algorithms for coupled nonlinear Schrödinger system

0 references

Efficient schemes for the damped nonlinear Schrödinger equation in high dimensions

0 references

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

0 references

Partitioned averaged vector field methods

0 references

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

0 references

Symmetric exponential integrators with an application to the cubic Schrödinger equation

0 references

Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation

0 references

Exponential time differencing for stiff systems

0 references

Mass- and energy-preserving exponential Runge-Kutta methods for the nonlinear Schrödinger equation

0 references

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

0 references

Q5750003

0 references

Q3780530

0 references

Symplectic Geometric Algorithms for Hamiltonian Systems

0 references

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

0 references

An efficient energy-preserving method for the two-dimensional fractional Schrödinger equation

0 references

Discrete Variational Derivative Method

0 references

Multi-Symplectic Fourier Pseudospectral Method for the Kawahara Equation

0 references

A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation

0 references

Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities

0 references

Existence of the global smooth solution to the period boundary value problem of fractional nonlinear Schrödinger equation

0 references

Geometric Numerical Integration

0 references

A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations

0 references

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

0 references

Global well-posedness of the fractional Klein-Gordon-Schrödinger system with rough initial data

0 references

Fast compact implicit integration factor method with non-uniform meshes for the two-dimensional nonlinear Riesz space-fractional reaction-diffusion equation

0 references

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

0 references

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

0 references

Fourth-Order Time-Stepping for Stiff PDEs

0 references

A Sixth Order Averaged Vector Field Method

0 references

A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations

0 references

Exponential integrators preserving first integrals or Lyapunov functions for conservative or dissipative systems

0 references

The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing

0 references

A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives

0 references

An explicit dissipation-preserving method for Riesz space-fractional nonlinear wave equations in multiple dimensions

0 references

A numerically efficient dissipation-preserving implicit method for a nonlinear multidimensional fractional wave equation

0 references

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

0 references

Higher-order time-stepping methods for time-dependent reaction-diffusion equations arising in biology

0 references

Fourier spectral method for higher order space fractional reaction-diffusion equations

0 references

A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations

0 references

Fractional Laplacian on the torus

0 references

Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows

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

A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations

0 references

Structure-preserving numerical methods for the fractional Schrödinger equation

0 references

Symplectic scheme for the Schrödinger equation with fractional Laplacian

0 references

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

0 references

Q4598062

0 references

Error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex fractional Ginzburg-Landau equations

0 references

Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme

0 references

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

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Identifiers

zbMATH Open document ID

1484.65249

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Mathematics Subject Classification ID

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10.1016/J.APNUM.2021.10.011

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Sitelinks

Mathematics(1 entry)

mardi Publication:2058406