7 citations · 7 across the 5 of their papers we have counts for
6 papers
High-Order Exponential Integrators with Improved Uniform Accuracy for Charged-Particle in a Perpendicular Strong Magnetic Field
Zhihao Qi, Weibing Deng
This paper considers a class of charged-particle dynamics problems in which the particle is subjected to a magnetic force, with a magnetic flux density inversely proportional to a…
Error Analysis on a Novel Class of Exponential Integrators with Local Linear Extension Techniques for Highly Oscillatory ODEs
Zhihao Qi, Weibing Deng, Fuhai Zhu
This paper investigates a class of non-autonomous highly oscillatory ordinary differential equations characterized by a linear component inversely proportional to a small parameter…
A Stabilized Unfitted Space-time Finite Element Method for Parabolic Problems on Moving Domains
Ruizhi Wang, Weibing Deng
This paper presents a space-time finite element method (FEM) based on an unfitted mesh for solving parabolic problems on moving domains. Unlike other unfitted space-time finite ele…
A stabilized nonconforming Nitsche's extended finite element method for Stokes interface problems
Xiaoxiao He, Fei Song, Weibing Deng
In this paper, a stabilized extended finite element method is proposed for Stokes interface problems on unfitted triangulation elements which do not require the interface align wit…
The existence of periodic solution for infinite dimensional Hamiltonian systems
W. Deng, W. Han, Q. Wang
In this paper, we will consider a kind of infinite dimensional Hamiltonian system(HS), by the method of saddle point reduction, topology degree and the index, we will get the exist…
Multiscale discontinuous Petrov--Galerkin method for the multiscale elliptic problems
Song Fei, Deng Weibing
In this paper we present a new multiscale discontinuous Petrov--Galerkin method (MsDPGM) for multiscale elliptic problems. This method utilizes the classical oversampling multiscal…