NSF PAR Search | NSF Public Access Repository

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

A generalized SAV approach with relaxation for dissipative systems

https://doi.org/10.1016/j.jcp.2022.111311

Zhang, Yanrong; Shen, Jie (September 2022, Journal of Computational Physics)

Full Text Available
Bound/positivity preserving and unconditionally stable schemes for a class of fourth order nonlinear equations

https://doi.org/10.1016/j.jcp.2022.111177

Huang, Fukeng; Shen, Jie; Wu, Ke (July 2022, Journal of Computational Physics)

Full Text Available
A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving

https://doi.org/10.1137/21M144877X

Cheng, Qing; Shen, Jie (June 2022, SIAM Journal on Numerical Analysis)

Full Text Available
A new class of implicit–explicit BDF $k$ SAV schemes for general dissipative systems and their error analysis

https://doi.org/10.1016/j.cma.2022.114718

Huang, Fukeng; Shen, Jie (March 2022, Computer Methods in Applied Mechanics and Engineering)

Full Text Available
A new Lagrange multiplier approach for constructing structure preserving schemes, I. Positivity preserving

https://doi.org/10.1016/j.cma.2022.114585

Cheng, Qing; Shen, Jie (March 2022, Computer Methods in Applied Mechanics and Engineering)

Full Text Available
Modeling and simulation of cell nuclear architecture reorganization process

https://doi.org/10.1016/j.jcp.2021.110808

Cheng, Qing; Delafrouz, Pourya; Liang, Jie; Liu, Chun; Shen, Jie (January 2022, Journal of Computational Physics)

Full Text Available
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis

https://doi.org/10.1090/mcom/3651

Li, Xiaoli; Shen, Jie; Liu, Zhengguang (January 2022, Mathematics of Computation)

We construct new first- and second-order pressure correctionschemes using the scalar auxiliary variable approach for the Navier-Stokes equations. These schemes are linear, decoupled and only require solving a sequence of Poisson type equations at each time step. Furthermore, they are unconditionally energy stable. We also establish rigorous error estimates in the two dimensional case for the velocity and pressure approximation of the first-order scheme without any condition on the time step.
more » « less
Full Text Available
Discrete maximum principle of a high order finite difference scheme for a generalized Allen–Cahn equation

https://doi.org/10.4310/CMS.2022.v20.n5.a9

Shen, Jie; Zhang, Xiangxiong (January 2022, Communications in Mathematical Sciences)

Full Text Available
Efficient Structure Preserving Schemes for the Klein–Gordon–Schrödinger Equations

https://doi.org/10.1007/s10915-021-01649-y

Zhang, Yanrong; Shen, Jie (November 2021, Journal of Scientific Computing)

Full Text Available
Generalized SAV approaches for gradient systems

https://doi.org/10.1016/j.cam.2021.113532

Cheng, Qing; Liu, Chun; Shen, Jie (October 2021, Journal of Computational and Applied Mathematics)

Full Text Available

« Prev Next »

Search for: All records