In this paper, we take the equation ut = uxx for example, and give a practical difference scheme with intrinsic parallelism, which is based on an implicit scheme inside boundary layers and an explicit scheme on them. ...In this paper, we take the equation ut = uxx for example, and give a practical difference scheme with intrinsic parallelism, which is based on an implicit scheme inside boundary layers and an explicit scheme on them. At the same time, the supper-time-stepping algorithm is presented. It can significantly increase the performance of the difference scheme with intrinsic parallelism by reducing the restrictive timestep limits that exist. It is obviously that this scheme is advantageous to parallel computing. We prove its stability, and also give its results of numerical experiments.展开更多
In this paper some finite difference schemes with intrinsic parallelism for nonlinearparabolic system are constructed. For the nonlinear difference system with intrinsic parallelism, a mild restriction condition for t...In this paper some finite difference schemes with intrinsic parallelism for nonlinearparabolic system are constructed. For the nonlinear difference system with intrinsic parallelism, a mild restriction condition for the steplengths is derived.展开更多
文摘In this paper, we take the equation ut = uxx for example, and give a practical difference scheme with intrinsic parallelism, which is based on an implicit scheme inside boundary layers and an explicit scheme on them. At the same time, the supper-time-stepping algorithm is presented. It can significantly increase the performance of the difference scheme with intrinsic parallelism by reducing the restrictive timestep limits that exist. It is obviously that this scheme is advantageous to parallel computing. We prove its stability, and also give its results of numerical experiments.
文摘In this paper some finite difference schemes with intrinsic parallelism for nonlinearparabolic system are constructed. For the nonlinear difference system with intrinsic parallelism, a mild restriction condition for the steplengths is derived.
