Adaptive time stepping and error control in a mass conservative numerical solution of the mixed form of Richards equation | NOVA. The University of Newcastle's Digital Repository
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[1] W. Press,et al. Numerical Recipes: The Art of Scientific Computing , 1987 .
[2] François Lehmann,et al. Comparison of Iterative Methods for Improved Solutions of the Fluid Flow Equation in Partially Saturated Porous Media , 1998 .
[3] S. Sloan,et al. BIOT CONSOLIDATION ANALYSIS WITH AUTOMATIC TIME STEPPING AND ERROR CONTROL PART 1: THEORY AND IMPLEMENTATION , 1999 .
[4] M. Celia,et al. A General Mass-Conservative Numerical Solution for the Unsaturated Flow Equation , 1990 .
[5] Emil O. Frind,et al. Comparative error analysis in finite element formulations of the advection-dispersion equation , 1985 .
[6] Chin-Fu Tsang,et al. A perspective on the numerical solution of convection‐dominated transport problems: A price to pay for the easy way out , 1992 .
[7] Philip John Binning,et al. Practical implementation of the fractional flow approach to multi-phase flow simulation , 1999 .
[8] Eric F. Wood,et al. NUMERICAL EVALUATION OF ITERATIVE AND NONITERATIVE METHODS FOR THE SOLUTION OF THE NONLINEAR RICHARDS EQUATION , 1991 .
[9] Cass T. Miller,et al. An evaluation of temporally adaptive transformation approaches for solving Richards' equation , 1999 .
[10] Frank Uhlig,et al. Numerical Algorithms with Fortran , 1996 .
[11] Cass T. Miller,et al. Accurate and economical solution of the pressure-head form of Richards' equation by the method of lines , 1997 .
[12] Linda M. Abriola,et al. Mass conservative numerical solutions of the head‐based Richards equation , 1994 .
[13] S. Sloan,et al. Adaptive backward Euler time stepping with truncation error control for numerical modelling of unsaturated fluid flow , 2002 .
[14] Cass T. Miller,et al. Robust solution of Richards' equation for nonuniform porous media , 1998 .
[15] Luca Bergamaschi,et al. MIXED FINITE ELEMENTS AND NEWTON-TYPE LINEARIZATIONS FOR THE SOLUTION OF RICHARDS' EQUATION , 1999 .
[16] I. Gladwell,et al. Variable-order variable-step algorithms for second-order systems. Part 2: The codes , 1988 .
[17] L. Shampine,et al. Numerical Solution of Ordinary Differential Equations. , 1995 .
[18] G. Smith,et al. Numerical Solution of Partial Differential Equations: Finite Difference Methods , 1978 .
[19] W. L. Wood. Practical Time-Stepping Schemes , 1990 .
[20] Shen-Haw Ju,et al. Mass types, element orders and solution schemes for the Richards equation , 1997 .
[21] G. Pinder,et al. Computational Methods in Subsurface Flow , 1983 .
[22] P. G. Thomsen,et al. Local error control inSDIRK-methods , 1986 .