Tianxiang Yue and Yinjun Song
_{Institute of Geographical Sciences and Natural Resources Research, Chinese Academy of Sciences, 11A, Datun Road, Anwai, Beijing, 100101, China} 

Abstract. Multigrid is employed to solve the partial differential equation set of SMTS and a method for high accuracy surface modeling (YUE-HASM) is developed. Numerical tests demonstrate that computing time of YUE-HASM is proportional to the first power of the total number of grid cells, while SMTS
computing time was proportional to the third power of the total number of grid cells. YUE-HASM has highly accelerated computational speed, especially for simulation with huge computational work. In the meanwhile, YUE-HASM has greatly increased simulation accuracy.

Keywords: computational speed, multigrid method, simulation accuracy, surface modelling, YUE-HASM

In: Wan, Y. et al. (eds) Proceeding of the 8th international symposium on spatial accuracy assessment in natural resources and environmental sciences, World Academic Union (Press).