Numerical preservation of multiple local conservation laws
From MaRDI portal
Publication:2242841
DOI10.1016/j.amc.2021.126203OpenAlexW3143691993MaRDI QIDQ2242841
Gianluca Frasca-Caccia, Peter E. Hydon
Publication date: 10 November 2021
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.12278
nonlinear Schrödinger equationBBM equationenergy conservationfinite difference methodsmomentum conservationdiscrete conservation laws
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (9)
A new technique for preserving conservation laws ⋮ Arbitrary high-order linear structure-preserving schemes for the regularized long-wave equation ⋮ Optimal parameters for numerical solvers of PDEs ⋮ Arbitrary high-order linearly implicit energy-conserving schemes for the Rosenau-type equation ⋮ Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation ⋮ Exponentially fitted methods with a local energy conservation law ⋮ Numerical conservation laws of time fractional diffusion PDEs ⋮ Data-driven soliton solutions and model parameters of nonlinear wave models via the conservation-law constrained neural network method ⋮ A conservative scheme for two-dimensional Schrödinger equation based on multiquadric trigonometric quasi-interpolation approach
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Characteristics of conservation laws for difference equations
- Discrete gradient methods have an energy conservation law
- On the preservation of phase space structure under multisymplectic discretization
- Energy-preserving integrators and the structure of B-series
- Energy conservation issues in the numerical solution of the semilinear wave equation
- Multi-symplectic methods for the coupled 1D nonlinear Schrödinger system
- The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. II: The nonlinear theory
- Finite-difference solutions of a non-linear Schrödinger equation
- Symplectic methods for the Ablowitz-Ladik model
- Accuracy and conservation properties in numerical integration: The case of the Korteweg-de Vries equation
- Symplectic and multi-symplectic methods for the nonlinear Schrödinger equation
- A variational complex for difference equations
- Symplectic integrators for the Ablowitz-Ladik discrete nonlinear Schrödinger equation
- Nonlinear and linear conservative finite difference schemes for regularized long wave equation
- Locally conservative finite difference schemes for the modified KdV equation
- Energy-conserving methods for the nonlinear Schrödinger equation
- Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field method
- Finite difference solutions of the nonlinear Schrödinger equation
- Backward error analysis for multisymplectic discretizations of Hamiltonian PDEs
- Time integration and discrete Hamiltonian systems
- Conservation laws of partial difference equations with two independent variables
- Difference Equations by Differential Equation Methods
- Line Integral Methods for Conservative Problems
- A General Framework for Deriving Integral Preserving Numerical Methods for PDEs
- Conservation laws of the BBM equation
- Conerservative and Nonconservative Schemes for the Solution of the Nonlinear Schrödinger Equation
- A Nonlinear Difference Scheme and Inverse Scattering
- Euler operators and conservation laws of the BBM equation
- The numerical integration of relative equilibrium solutions. Geometric theory
- Geometric integration using discrete gradients
- Discrete gradient methods for solving ODEs numerically while preserving a first integral
- Conservative numerical methods for solitary wave interactions
- The numerical integration of relative equilibrium solutions. The nonlinear Schrodinger equation
- Simple bespoke preservation of two conservation laws
- Bespoke finite difference schemes that preserve multiple conservation laws
- A new class of energy-preserving numerical integration methods
- Numerical methods for Hamiltonian PDEs
- Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
- Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation
- Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations
This page was built for publication: Numerical preservation of multiple local conservation laws
