Abstract The Hermitian and skew-Hermitian splitting iteration method (HSS) is commonly an
effective linear iterative method for solving sparse non-Hermite positive definite equations …

This paper studies the potential of using the successive over-relaxation iteration method with
polynomial preconditioner (P (m)-SOR) to solve variably saturated flow problems described …

Water transport in the unsaturated zone is an important part of the hydrological cycle and is
the link between the atmosphere‒soil‐groundwater for material and energy transport. The …

A new numerical method was developed to accurately and efficiently compute a solution of
the nonlinear Richards equation with a layered soil. In the proposed method, the Kirchhoff …

Abstract The Guanzhong Basin in central China features a booming economy and has
suffered severe drought, resulting in serious groundwater depletion in the last 30 years. As a …

A modified Gauss-Seidel iterative method (MP (m)-GS) with multistep preconditioner is
developed to solve partial differential equations of rainfall infiltration. The finite difference …

An early warning system can effectively reduce the damage caused by landslides. To study
the change law of hydrological indexes with the evolution process, a rainfall-induced …

The massif rupture is not always reached under saturated conditions; therefore, the analysis
of the unsaturated phenomenon is necessary in some cases. This study performed a …

In this paper, we investigate the effectiveness of the cascadic multigrid method applied to
improved Picard iteration method for nonlinear problems arising in deforming variably …

Many infiltration models have been proposed to simulate infiltration process. Different initial
soil conditions and non-uniform initial water content can lead to infiltration simulation errors …