Accurate reconstructions of functions of finite regularity from truncated Fourier series expansions

On a High Order Numerical Method for Solving Partial Differential Equations in Complex Geometries

Journal of Scientific Computing

A Hybrid Approach to Spectral Reconstruction of Piecewise Smooth Functions

Journal of Scientific Computing

A robust method for accurately representing nonperiodic functions given Fourier coefficient information

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics

Reducing the Effects of Noise in Image Reconstruction

Journal of Scientific Computing

Local spline approximation of discontinuous functions and location of discontinuities, given low-order Fourier coefficient information

Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)

On a Rational Linear Approximation of Fourier Series for Smooth Functions

Journal of Scientific Computing

Reconstruction of Piecewise Smooth Functions from Non-uniform Grid Point Data

Journal of Scientific Computing

Determining the locations and discontinuities in the derivatives of functions

Applied Numerical Mathematics

Local approximation on surfaces with discontinuities, given limited order Fourier coefficients

Journal of Computational and Applied Mathematics

Reduction of the Gibbs phenomenon for smooth functions with jumps by the ε-algorithm

Journal of Computational and Applied Mathematics

Detection of Edges in Spectral Data III--Refinement of the Concentration Method

Journal of Scientific Computing

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

Journal of Computational Physics

On a filter for exponentially localized kernels based on Jacobi polynomials

Journal of Approximation Theory

Accurate discontinuity detection using limited resolution information

Journal of Computational and Applied Mathematics

Iterative methods based on spline approximations to detect discontinuities from Fourier data

Journal of Computational and Applied Mathematics

A generalized diffusion frame for parsimonious representation of functions on data defined manifolds

Neural Networks

Detecting discontinuity points from spectral data with the quotient-difference (qd) algorithm

Journal of Computational and Applied Mathematics

Recovering Exponential Accuracy from Non-harmonic Fourier Data Through Spectral Reprojection

Journal of Scientific Computing

Gibbs phenomenon removal by adding Heaviside functions

Advances in Computational Mathematics