A RBF partition of unity collocation method based on finite difference for initial-boundary value problems
From MaRDI portal
Publication:2001288
DOI10.1016/j.camwa.2018.03.014zbMath1419.65078arXiv1803.10673OpenAlexW2962797114MaRDI QIDQ2001288
Roberto Cavoretto, Gholamreza Garmanjani, Mohsen Esmaeilbeigi
Publication date: 3 July 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.10673
Computational methods for sparse matrices (65F50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items
Convergence and stability of meshfree method based on radial basis function for a hyperbolic partial differential equation with piecewise constant arguments, A locally stabilized radial basis function partition of unity technique for the sine-Gordon system in nonlinear optics, An efficient localized meshless collocation method for the two-dimensional Burgers-type equation arising in fluid turbulent flows, Adaptive residual Refinement in an RBF Finite difference scheme for 2D time-dependent problems, 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, A stable RBF partition of unity local method for elliptic interface problems in two dimensions, On the convergence analysis and stability of the RBF-adaptive method for the forward-backward heat problem in 2D, A localisation technique based on radial basis function partition of unity for solving Sobolev equation arising in fluid dynamics, Meshless RBFs method for numerical solutions of two-dimensional high order fractional Sobolev equations, An adaptive orthogonal improved interpolating moving least-square method and a new boundary element-free method, Error indicators and refinement strategies for solving Poisson problems through a RBF partition of unity collocation scheme, Coupling of the Crank-Nicolson scheme and localized meshless technique for viscoelastic wave model in fluid flow, Numerical simulation of fractional evolution model arising in viscoelastic mechanics, A stable meshfree PDE solver for source-type flows in porous media, An efficient method based on RBFs for multilayer data interpolation with application in air pollution data analysis, A localized meshless technique for solving 2D nonlinear integro-differential equation with multi-term kernels, Soliton wave solutions of nonlinear mathematical models in elastic rods and bistable surfaces, Coupling RBF-based meshless method and Landweber iteration algorithm for approximating a space-dependent source term in a time fractional diffusion equation, The Direct Radial Basis Function Partition of Unity (D-RBF-PU) Method for Solving PDEs, Solitary wave propagation of the generalized Kuramoto-Sivashinsky equation in fragmented porous media, A compact radial basis function partition of unity method
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new space-time continuous Galerkin method with mesh modification for Sobolev equations
- A super accurate shifted tau method for numerical computation of the Sobolev-type differential equation with nonlocal boundary conditions
- An alternative local collocation strategy for high-convergence meshless PDE solutions, using radial basis functions
- A radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applications
- Weak Galerkin finite element methods for Sobolev equation
- Positive constrained approximation via RBF-based partition of unity method
- Superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for Sobolev equations
- A CCD-ADI method for unsteady convection-diffusion equations
- A numerical method for diffusion-convection equation using high-order difference schemes
- Local DG method using WENO type limiters for convection-diffusion problems
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- Numerical solutions for convection-diffusion equation using El-Gendi method
- Chebyshev pseudospectral method for computing numerical solution of convection-diffusion equation
- A new explicit method for the diffusion-convection equation
- A semilinear Sobolev evolution equation in a Banach space
- The partition of unity finite element method: basic theory and applications
- Optimal selection of local approximants in RBF-PU interpolation
- \textsc{OpenCL} based parallel algorithm for RBF-PUM interpolation
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Multistep scattered data interpolation using compactly supported radial basis functions
- On unsymmetric collocation by radial basis functions
- The finite difference streamline diffusion methods for Sobolev equations with convection-dominated term
- Compactly supported positive definite radial functions
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- 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
- A numerical algorithm for multidimensional modeling of scattered data points
- Unsymmetric and symmetric meshless schemes for the unsteady convection-diffusion equation
- Partition of unity interpolation using stable kernel-based techniques
- Local RBF method for multi-dimensional partial differential equations
- A sixth-order finite volume method for multidomain convection-diffusion problem with discontinuous coefficients
- A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions
- Analysis of second order finite volume element methods for pseudo-parabolic equations in three spatial dimensions
- Certain non-steady flows of second-order fluids
- On a theory of heat conduction involving two temperature
- Heat transfer to a draining film
- Preconditioning for radial basis function partition of unity methods
- On the approximation order of triangular Shepard interpolation
- Blow-up in Nonlinear Sobolev Type Equations
- The Discrete Duality Finite Volume Method for Convection-diffusion Problems
- Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
- A Primer on Radial Basis Functions with Applications to the Geosciences
- Local RBF-FD solutions for steady convection–diffusion problems
- The numerical treatment of nonlinear parabolic partial differential equations governing convection-diffusion processes
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- THE PARTITION OF UNITY METHOD
- Radial Basis Functions
- Explicit and implicit meshless methods for linear advection-diffusion-type partial differential equations
- A shift‐adaptive meshfree method for solving a class of initial‐boundary value problems with moving boundaries in one‐dimensional domain
- A Trivariate Interpolation Algorithm Using a Cube-Partition Searching Procedure
- Existence and Representation Theorems for a Semilinear Sobolev Equation in Banach Space
- Scattered Data Approximation
