2025
Shape-preserving subdivision scheme with the third-order accuracy and C2 smoothness.
Math. Comput. Simul., 2025

2024
A New Alternative WENO Scheme Based on Exponential Polynomial Interpolation with an Improved Order of Accuracy.
J. Sci. Comput., October, 2024

A family of C2 four-point stationary subdivision schemes with fourth-order accuracy and shape-preserving properties.
J. Comput. Appl. Math., 2024

Boundary corrections for kernel approximation to differential operators.
CoRR, 2024

Construction of a modified butterfly subdivision scheme with C2-smoothness and fourth-order accuracy.
Appl. Math. Lett., 2024

Optimized Color Filter Array for Denoising Diffusion Null-Space Model-Based Demosaicing.
IEEE Access, 2024

2023
Order enhanced finite volume methods through non-polynomial approximation.
J. Comput. Phys., April, 2023

A shape preserving corner cutting algorithm with an enhanced accuracy.
Appl. Math. Lett., 2023

2022
Development of a WENO scheme based on radial basis function with an improved convergence order.
J. Comput. Phys., 2022

2021
Improving Accuracy of the Fifth-Order WENO Scheme by Using the Exponential Approximation Space.
SIAM J. Numer. Anal., 2021

A non-uniform corner-cutting subdivision scheme with an improved accuracy.
J. Comput. Appl. Math., 2021

2020
Construction of an Improved Third-Order WENO Scheme with a New Smoothness Indicator.
J. Sci. Comput., 2020

Kernel Based High Order "Explicit" Unconditionally Stable Scheme for Nonlinear Degenerate Advection-Diffusion Equations.
J. Sci. Comput., 2020

A Kernel-Based explicit unconditionally stable scheme for Hamilton-Jacobi equations on nonuniform meshes.
J. Comput. Phys., 2020

Superconvergent Non-Polynomial Approximations.
CoRR, 2020

2019
A moving mesh WENO method based on exponential polynomials for one-dimensional conservation laws.
J. Comput. Phys., 2019

An Improved Weighted Nuclear Norm Minimization Method for Image Denoising.
IEEE Access, 2019

2018
A Sixth-Order Weighted Essentially Non-oscillatory Schemes Based on Exponential Polynomials for Hamilton-Jacobi Equations.
J. Sci. Comput., 2018

2016
Sixth-order Weighted Essentially Nonoscillatory Schemes Based on Exponential Polynomials.
SIAM J. Sci. Comput., 2016

A short note on the error estimates of Yuan-Shu discontinuous Galerkin method based on non-polynomial approximation spaces.
J. Comput. Phys., 2016