A locally stabilized radial basis function partition of unity technique for the sine-Gordon system in nonlinear optics
From MaRDI portal
Publication:2672380
DOI10.1016/j.matcom.2022.04.006OpenAlexW4223578828WikidataQ113869153 ScholiaQ113869153MaRDI QIDQ2672380
Publication date: 8 June 2022
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2022.04.006
Related Items (7)
Linear barycentric rational collocation method for solving non-linear partial differential equations ⋮ An improved meshless method based on the dimension splitting moving least-squares method for elasticity problems ⋮ A modified RBF collocation method for solving the convection-diffusion problems ⋮ Some efficient numerical schemes for approximating the nonlinear two-space dimensional extended Fisher-Kolmogorov equation ⋮ An efficient localized meshless collocation method for the two-dimensional Burgers-type equation arising in fluid turbulent flows ⋮ An RBF-PUM finite difference scheme for forward-backward heat equation ⋮ Utilizing differential quadrature-based RBF partition of unity collocation method to simulate distributed-order time fractional cable equation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stable calculation of Gaussian-based RBF-FD stencils
- A radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applications
- Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
- Stable computations with flat radial basis functions using vector-valued rational approximations
- A stable radial basis function partition of unity method with \(d\)-rectangular patches for modelling water flow in porous media
- Nonlinear dynamics of coupled chains of particles
- The partition of unity finite element method: basic theory and applications
- Interpolation in the limit of increasingly flat radial basis functions
- The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods
- The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-Gordon equations
- Numerical solution of the viscous flow past a cylinder with a non-global yet spectrally convergent meshless collocation method
- Optimal selection of local approximants in RBF-PU interpolation
- \textsc{OpenCL} based parallel algorithm for RBF-PUM interpolation
- Adaptive meshless refinement schemes for RBF-PUM collocation
- Erratum to: ``Wavelet based quasilinearization method for semi-linear parabolic initial boundary value problems
- The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas
- Weak solutions to a nonlinear variational sine-Gordon equation
- A RBF partition of unity collocation method based on finite difference for initial-boundary value problems
- Radial basis function partition of unity methods for pricing vanilla basket options
- Efficient computation of partition of unity interpolants through a block-based searching technique
- Adaptive radial basis function partition of unity interpolation: a bivariate algorithm for unstructured data
- An efficient localized meshless technique for approximating nonlinear sinh-Gordon equation arising in surface theory
- Partition of unity methods for signal processing on graphs
- Numerical simulation of a degenerate parabolic problem occurring in the spatial diffusion of biological population
- An insight into RBF-FD approximations augmented with polynomials
- Breather stripes and radial breathers of the two-dimensional sine-Gordon equation
- A stable RBF partition of unity local method for elliptic interface problems in two dimensions
- An introduction to the Hilbert-Schmidt SVD using iterated Brownian bridge kernels
- Error indicators and refinement strategies for solving Poisson problems through a RBF partition of unity collocation scheme
- Complex simplified Hirota's forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV-sine-Gordon equation
- Multiplicity of positive solutions to nonlinear systems of Hammerstein integral equations with weighted functions
- Special two-soliton solution of the generalized Sine-Gordon equation with a variable coefficient
- A scalable RBF-FD method for atmospheric flow
- Enhancing finite differences with radial basis functions: experiments on the Navier-Stokes equations
- On the exchange of energy in coupled Klein --- Gordon equations
- Partition of unity interpolation using stable kernel-based techniques
- A new stable basis for radial basis function interpolation
- A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions
- Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions
- A numerical solution of the coupled sine-Gordon equation using the modified decomposition method
- Preconditioning for radial basis function partition of unity methods
- Stable Computation of Differentiation Matrices and Scattered Node Stencils Based on Gaussian Radial Basis Functions
- Stable Evaluation of Gaussian Radial Basis Function Interpolants
- Stable Computations with Gaussian Radial Basis Functions
- Adaptive Refinement Techniques for RBF-PU Collocation
- A Primer on Radial Basis Functions with Applications to the Geosciences
- A Stable Algorithm for Flat Radial Basis Functions on a Sphere
- A Least Squares Radial Basis Function Partition of Unity Method for Solving PDEs
- Solving PDEs with radial basis functions
- Bidirectional solitons and interaction solutions for a new integrable fifth-order nonlinear equation with temporal and spatial dispersion
This page was built for publication: A locally stabilized radial basis function partition of unity technique for the sine-Gordon system in nonlinear optics