An accelerated Picard method for nonlinear systems related to variably saturated flow

By P. A. Lott, Homer F. Walker, Carol S. Woodward, Ulrike Meier Yang. 2012

106 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/238f5ffe6bbe410662633d7a5ce90e380519cfe5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Florian List
2. Florin Adrian Radu
3. Claudio Paniconi
4. Mario Putti
5. Kundan Kumar
6. Jan Martin Nordbotten

In Computational Theory and Mathematics

1. Florian List
2. Florin Adrian Radu
3. Claudio Paniconi
4. Mario Putti

In Numerical Analysis

1. Florin Adrian Radu
2. Florian List
3. Claudio Paniconi
4. Mario Putti

Citations in the corpus

• Physically based modeling in catchment hydrology at 50: Survey and outlook (2015, methodology): “Solving RE requires that the equation be linearized, and Newton-based iterative schemes, including less accurate approximations such as the Picard method, are commonly used for this purpose [Brutsaert, 1971; Huyakorn et al., 1984; Paniconi and Putti, 1994; Gustafsson and S€ oderlind, 1997; Casulli a”
• A study on iterative methods for solving Richards’ equation (2015, methodology): “For the sake of completeness we mention also the accelerated Picard method [21] for Richards’ equation and the semi-smooth Newton method [19] and L−method [30] for two-phase flow in porous media, as valuable linearization methods.”