92 citations · 322 across the 19 of their papers we have counts for
19 papers
A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn-Hilliard-Navier-Stokes system
Chen Liu, Beatrice Riviere, Jie Shen +1
For time-dependent PDEs, the numerical schemes can be rendered bound-preserving without losing conservation and accuracy, by a post processing procedure of solving a constrained mi…
An efficient and robust SAV based algorithm for discrete gradient systems arising from optimizations
Xinyu Liu, Jie Shen, Xiaongxiong Zhang
We propose in this paper a new minimization algorithm based on a slightly modified version of the scalar auxiliary variable (SAV) approach coupled with a relaxation step and an ada…
Eigenvalue Analysis and Applications of the Legendre Dual-Petrov-Galerkin Methods for Initial Value Problems
Desong Kong, Jie Shen, Li-Lian Wang +1
In this paper, we show that the eigenvalues and eigenvectors of the spectral discretisation matrices resulted from the Legendre dual-Petrov-Galerkin (LDPG) method for the th-ord…
Anomalous Josephson Effect in Topological Insulator-Based Josephson Trijunction
Xiang Zhang, Zhaozheng Lyu, Guang Yang +11
We studied anomalous Josephson effect (AJE) in Josephson trijunctions fabricated on BiSe, and found that the AJE in T-shaped trijunctions significantly alters the Majorana…
Stability and Error estimates of the SAV Fourier-spectral method for the Phase Field Crystal Equation
Xiaoli Li, Jie Shen
We consider fully discrete schemes based on the scalar auxiliary variable (SAV) approach and stabilized SAV approach in time and the Fourier-spectral method in space for the phase…
Hard superconducting gap and diffusion-induced superconductors in Ge-Si nanowires
Joost Ridderbos, Matthias Brauns, Jie Shen +8
We show a hard induced superconducting gap in a Ge-Si nanowire Josephson transistor up to in-plane magnetic fields of mT, an important step towards creating and detecting Maj…
Crossed Andreev Reflection in InSb Flake Josephson Junctions
Folkert K. de Vries, Martijn L. Sol, Sasa Gazibegovic +6
We study superconducting quantum interference in InSb flake Josephson junctions. An even-odd effect in the amplitude and periodicity of the superconducting quantum interference pat…
On a SAV-MAC scheme for the Cahn-Hilliard-Navier-Stokes Phase Field Model
Xiaoli Li, Jie Shen
We construct a numerical scheme based on the scalar auxiliary variable (SAV) approach in time and the MAC discretization in space for the Cahn-Hilliard-Navier-Stokes phase field mo…
Energy Stability and Convergence of SAV Block-centered Finite Difference Method for Gradient Flows
Xiaoli Li, Jie Shen, Hongxing Rui
We present in this paper construction and analysis of a block-centered finite difference method for the spatial discretization of the scalar auxiliary variable Crank-Nicolson schem…
A Noether theorem for random locations
Shunlong Luo, Jie Shen, Yi Shen
We propose a unified framework for random locations exhibiting some probabilistic symmetries such as stationarity, self-similarity, etc. A theorem of Noether's type is proved, whic…
Distributional Compatibility for Change of Measures
Jie Shen, Yi Shen, Bin Wang +1
In this paper, we characterize compatibility of distributions and probability measures on a measurable space. For a set of indices , we say that the tuples of probabili…
Laguerre Functions and Their Applications to Tempered Fractional Differential Equaitons on Infinite Intervals
Sheng Chen, Jie Shen, Lilian Wang
Tempered fractional derivatives originated from the tempered fractional diffusion equations (TFDEs) modeled on the whole space R (see [23]). For numerically solving TFDEs, two kind…
Efficient and accurate numerical schemes for a hydrodynamically coupled phase field diblock copolymer model
Qing Cheng, Xiaofeng Yang, Jie Shen
In this paper, we consider numerical approximations of a hydrodynamically coupled phase field diblock copolymer model, in which the free energy contains a kinetic potential, a grad…
Structural Phase Transition and Carrier Density Tuning in SnSexTe1-x Nanoplates for Topological Crystalline Insulators
Jie Shen, John M. Woods, Y. Xie +2
For topological insulators and topological crystalline insulators (TCIs), their exotic surface states are promising for fundamental condensed matter physics research as well as fut…
Dynamic Transitions of Quasi-Geostrophic Channel Flow
Henk Dijkstra, Taylan Sengul, Jie Shen +1
The main aim of this paper is to describe the dynamic transitions in flows described by the two-dimensional, barotropic vorticity equation in a periodic zonal channel. In \cite{CGS…
A pressure correction scheme for generalized form of energy-stable open boundary conditions for incompressible flows
Suchuan Dong, Jie Shen
We present a generalized form of open boundary conditions, and an associated numerical algorithm, for simulating incompressible flows involving open or outflow boundaries. The gene…
Generalized Jacobi Functions and Their Applications to Fractional Differential Equations
Sheng Chen, Jie Shen, Li-Lian Wang
In this paper, we consider spectral approximation of fractional differential equations (FDEs). A main ingredient of our approach is to define a new class of generalized Jacobi func…
Synthesis of SnTe Nanoplates with {100} and {111} Surfaces
Jie Shen, Yeonwoong Jung, Ankit S. Disa +3
SnTe is a topological crystalline insulator that possesses spin-polarized, Dirac-dispersive surface states protected by crystal symmetry. Multiple surface states exist on the {100}…
A fourth-order time-splitting Laguerre-Hermite pseudo-spectral method for Bose-Einstein condensates
Weizhu Bao, Jie Shen
A fourth-order time-splitting Laguerre-Hermite pseudospectral method is introduced for Bose-Einstein condensates (BEC) in 3-D with cylindrical symmetry. The method is explicit, unc…