Spectral collocation and radial basis function methods for one-dimensional interface problems
DOI10.1016/j.apnum.2011.03.005zbMath1219.65066OpenAlexW2061586673WikidataQ112880218 ScholiaQ112880218MaRDI QIDQ548335
Jae-Hun Jung, Byeong Chun Shin
Publication date: 28 June 2011
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2011.03.005
numerical resultsGibbs phenomenonleast squares methodjump discontinuityinterface problemspectral collocation methodradial basis function methodDirac \(\delta \)-function
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discretization of Dirac delta functions in level set methods
- Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
- A note on the spectral collocation approximation of some differential equations with singular source terms
- Recovery of high order accuracy in radial basis function approximations of discontinuous problems
- Least-squares spectral collocation for the Navier-Stokes equations
- A note on the Gibbs phenomenon with multiquadric radial basis functions
- Highly accurate finite element method for one-dimensional elliptic interface problems
- A high-order WENO-Z finite difference based particle-source-in-cell method for computation of particle-laden flows with shocks
- Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation
- The immersed interface method using a finite element formulation
- A Chebyshev collocation method for solving two-phase flow stability problems
- Least-squares spectral collocation for discontinuous and singular perturbation problems
- Tango waves in a bidomain model of fertilization calcium waves
- Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
- On the optimal shape parameters of radial basis functions used for 2-D meshless methods
- Adaptive radial basis function methods for time dependent partial differential equations
- An overview of the immersed interface method and its applications
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Overlapping domain decomposition method by radial basis functions
- Numerical approximations of singular source terms in differential equations
- Error estimates and condition numbers for radial basis function interpolation
- On the computation of high order pseudospectral derivatives
- Adaptive residual subsampling methods for radial basis function interpolation and collocation problems
- The Runge phenomenon and spatially variable shape parameters in RBF interpolation
- Spectral Approximation Orders of Radial Basis Function Interpolation on the Sobolev Space
- Discontinuous Galerkin method for computing gravitational waveforms from extreme mass ratio binaries
- A SPECTRAL COLLOCATION APPROXIMATION FOR THE RADIAL-INFALL OF A COMPACT OBJECT INTO A SCHWARZSCHILD BLACK HOLE
- Spectral Methods for Time-Dependent Problems
- A radial basis function method for the shallow water equations on a sphere
- On the approximation of singular source terms in differential equations
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- Computation of electromagnetic scattering with a non‐conforming discontinuous spectral element method
- On the Gibbs Phenomenon and Its Resolution
- Pseudospectral Least-Squares Method for the Second-Order Elliptic Boundary Value Problem
- Least-squares spectral collocation method for the Stokes equations
- A numerical study of the accuracy and stability of symmetric and asymmetric RBF collocation methods for hyperbolic PDEs
- Polynomials and Potential Theory for Gaussian Radial Basis Function Interpolation
- Scattered Data Approximation