Computing Periodic Solutions of Linear Differential Equations by Multi-splittings Waveform Relaxation
This paper use multi-splittings waveform relaxation (MSWR) method to determine the periodic solutions of linear differential equations. Based on the spectral radius of the derived operator by decoupled process, we obtain some convergent conditions for the MSWR method. The MSWR method is an acceleration technique of the periodic waveform relaxation. Numerical example is provided to further confirm the theoretical analysis and also show that the multi-splitting technique can effectively accelerate the convergent performance of the iterative process.
multi-splitting waveform relaxation linear differential equations periodic solutions spectra of linear operators
Xiao-Lin Lin Li Wang
Faculty of Science, Shaanxi University of Science & Technology Xian, 710021, China
国际会议
太原
英文
366-370
2010-10-22（万方平台首次上网日期，不代表论文的发表时间）