Schwarz algorithm for nonlinear generalized schrödinger systems — complete discrete problem¹

¹This work was supported in part by National Natural Science Foundation of China and National 863 High Technology Project of China

Abstract

In this paper, a new Schwarz algorithm was developed to solve a class of large scale and nonlinear degenerated parabolic systems. The systems discussed in this paper included the nonlinear Schrodinger equations as the special case. The detailed computation procedures and the proofs for the discrete solutions converging to the exact solution are also presented in this paper. A numerical example is employed to illustrate the obtained theoretical results.

Keywords:

• Nonlinear generalized Schrödinger equations
• Schwarz algorithm
• discrete solutions
• maximum modulus estimates
• convergence

C.R. Categories:

• G.1.8
• G.1.3

¹This work was supported in part by National Natural Science Foundation of China and National 863 High Technology Project of China

¹This work was supported in part by National Natural Science Foundation of China and National 863 High Technology Project of China

Notes

¹This work was supported in part by National Natural Science Foundation of China and National 863 High Technology Project of China