- Publications
- Influence

Claim Your Author Page

Ensure your research is discoverable on Semantic Scholar. Claiming your author page allows you to personalize the information displayed and manage publications.

- Tony F. Chan, Longjun Shen
- 1987

We consider the stability of difference schemes for the solution of the initial boundary value problem for the equation \[ u_1 = \left( {A(x,t)u_x } \right)_x + B(x,t)u + C(x,t)u + f(x,t)\], where u,… (More)

- Tony F. Chan, Ding Lee, Longjun Shen
- 1986

Most conventional explicit finite difference schemes, e.g. Euler’s scheme, for solving the parabolic equation of Schrodinger type $u_t = iu_{xx} $ are unconditionally unstable. This difficulty can be… (More)

- Zeyao Mo, Longjun Shen, Gabriel Wittum
- Int. J. Comput. Math.
- 2004

Two-dimensional diffusion equations coupled with electron, ion and photon temperatures are widely used to approximately describe the radiation evolution of energy across multiple materials and… (More)

- Hao Wu, Longjun Shen, Zhijun Shen
- 2010

- Tongxiang Gu, Xingping Liu, Longjun Shen
- Int. J. Comput. Math.
- 2000

Two classes of relaxed parallel two-stage multisplitting methods based on extrapolated and AOR methods are studied for the solution of nonsingular linear systems, which are called outer relaxed or… (More)

The difference method with intrinsic parallelism for two dimensional parabolic system is studied. The general alternating difference schemes, in particular those with variable time steplengthes, are… (More)

- Shaohong Zhu, Guangwei Yuan, Longjun Shen
- Int. J. Comput. Math.
- 2000

Here the strategy of the group explicit method is applied to the numerical solution of a linear dispersive equation. An alternating group explicit method (AGE) for the equation with the periodic… (More)

- Guangwei Yuan, Longjun Shen, Yulin Zhou
- Applied Mathematics and Computation
- 2001

The general alternating schemes with intrinsic parallelism for semilinear parabolic systems are studied. First we prove the a priori estimates in the discrete H^1 space of the difference solution for… (More)

AbstractMore work is done to study the explicit, weak and strong implicit difference solution for the first boundary problem of quasilinear parabolic system:
$$\begin{gathered} u_t = ( - 1)^{M + 1}… (More)

Abstract In this note, we present an improved stability condition of a finite difference domain decomposition procedure for the parabolic equation. This procedure is proposed in [1], in which… (More)