most citedError estimate of the nonuniform type formula for the time fractional diffusion-wave equation

1 citations · 1 across the 7 of their papers we have counts for

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7 papers

cs.LG2023

Causal Fairness-Guided Dataset Reweighting using Neural Networks

Xuan Zhao, Klaus Broelemann, Salvatore Ruggieri +1

The importance of achieving fairness in machine learning models cannot be overstated. Recent research has pointed out that fairness should be examined from a causal perspective, an…

eess.IV2023

High-Fidelity Image Synthesis from Pulmonary Nodule Lesion Maps using Semantic Diffusion Model

Xuan Zhao, Benjamin Hou

Lung cancer has been one of the leading causes of cancer-related deaths worldwide for years. With the emergence of deep learning, computer-assisted diagnosis (CAD) models based on…

math.NA2023

Energy stability and convergence of variable-step L1 scheme for the time fractional Swift-Hohenberg model

Xuan Zhao, Ran Yang, Ren-jun Qi +1

A fully implicit numerical scheme is established for solving the time fractional Swift-Hohenberg (TFSH) equation with a Caputo time derivative of order . The variable-st…

math.NA2023

Energy stable and norm convergent BDF3 scheme for the Swift-Hohenberg equation

Xuan Zhao, Ran Yang, Zhongqin Xue +1

A fully discrete implicit scheme is proposed for the Swift-Hohenberg model, combining the third-order backward differentiation formula (BDF3) for the time discretization and the se…

math.NA20231 cited

Error estimate of the nonuniform type formula for the time fractional diffusion-wave equation

Hong Sun, Yanping Chen, Xuan Zhao

In this paper, a temporal nonuniform type difference scheme is built up for the time fractional diffusion-wave equation with the help of the order reduction technique. The unc…

math.GM2023

On some analytic properties of nabla tempered fractional calculus

Yiheng Wei, Linlin Zhao, Xuan Zhao +1

Despite many applications regarding fractional calculus have been reported in literature, it is still unknown how to model some practical process. One major challenge in solving su…