Noniterative time stepping schemes with adaptive truncation error control for the solution of Richards equation

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Physically based modeling in catchment hydrology at 50: Survey and outlook (2015, background): “…purpose [Brutsaert, 1971; Huyakorn et al., 1984; Paniconi and Putti, 1994; Gustafsson and S€oderlind, 1997; Casulli and Zanolli, 2010; Lott et al., 2012], although noniterative approaches have also been proposed [Paniconi et al., 1991; Kavetski et al., 2002; Ross, 2003; Crevoisier et al., 2009].”
Numerical Solution of Richards' Equation: A Review of Advances and Challenges (2017, background): “As discussed above, researchers have tried to manage these dynamics through the time step (Tocci et al., 1997; Kavetski et al., 2002; D’Haese et al., 2007) and/or”
New class of solutions for water infiltration problems in unsaturated soils (2010, background): “…due to the dependence of hydraulic conductivity and diffusivity -- two important parameters in the equation -- on moisture content, combined with the non-trivial forcing conditions that are often encountered in engineering practice (Ju and Kung 1997, Arampatzis et al. 2001, Kavetski et al. 2002).”