Short Note: On the numerical convergence with the inverse polynomial reconstruction method for the resolution of the Gibbs phenomenon

Authors:
Jae-Hun Jung;Bernie D. Shizgal
Affiliations:
Department of Mathematics, University of Massachusetts at Dartmouth, North Dartmouth, MA 02747-2300, United States;Institute of Applied Mathematics, University of British Columbia, 6356 Agricultural Road, Vancouver, BC, Canada V6T 1Z2
Venue:
Journal of Computational Physics
Year:
2007

Citing 13
Cited 6

Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing

Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing
On the Gibbs phenomenon I: recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function

Journal of Computational and Applied Mathematics - Orthogonal polynomials and numerical methods
Reconstruction of a discontinuous function from a few Fourier coefficients using Bayesian estimation

Journal of Scientific Computing
Applied numerical linear algebra

Applied numerical linear algebra
On the Gibbs Phenomenon and Its Resolution

SIAM Review
Spectral methods for hyperbolic problems

Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. VII: partial differential equations
Towards the resolution of the Gibbs phenomena

Journal of Computational and Applied Mathematics
A multidomain spectral method for supersonic reactive flows

Journal of Computational Physics
Parameter Optimization and Reduction of Round Off Error for the Gegenbauer Reconstruction Method

Journal of Scientific Computing
On inverse methods for the resolution of the Gibbs phenomenon

Journal of Computational and Applied Mathematics
Generalization of the inverse polynomial reconstruction method in the resolution of the Gibbs phenomenon

Journal of Computational and Applied Mathematics
Trouble with Gegenbauer reconstruction for defeating Gibbs' phenomenon: Runge phenomenon in the diagonal limit of Gegenbauer polynomial approximations

Journal of Computational Physics
Inverse Polynomial Reconstruction of Two Dimensional Fourier Images

Journal of Scientific Computing

Acceleration of algebraically-converging Fourier series when the coefficients have series in powers of 1/n

Journal of Computational Physics
Algorithm 899: The Matlab postprocessing toolkit

ACM Transactions on Mathematical Software (TOMS)
Pseudospectral Fourier reconstruction with the modified Inverse Polynomial Reconstruction Method

Journal of Computational Physics
A Simple Regularization of the Polynomial Interpolation for the Resolution of the Runge Phenomenon

Journal of Scientific Computing
Non intrusive iterative stochastic spectral representation with application to compressible gas dynamics

Journal of Computational Physics
Gibbs phenomenon removal by adding Heaviside functions

Advances in Computational Mathematics

Quantified Score

Hi-index	31.46

Short Note: On the numerical convergence with the inverse polynomial reconstruction method for the resolution of the Gibbs phenomenon

Quantified Score

Visualization

Abstract