The numerical solution of Richards' equation by means of method of lines and ensemble Kalman filter

DOI10.1016/j.matcom.2015.08.019OpenAlexW1881989968MaRDI QIDQ2228794

Michele Vurro, Marco Berardi

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2015.08.019

zbMATH Keywords

method of linesdata assimilationensemble Kalman filterRichards' equationunsaturated water flow

Mathematics Subject Classification ID

Numerical analysis (65-XX) Geophysics (86-XX)

Related Items (9)

A transversal method of lines for the numerical modeling of vertical infiltration into the vadose zone ⋮ A linearized finite difference scheme for the Richards equation under variable-flux boundary conditions ⋮ A multi level linearized Crank–Nicolson scheme for Richards equation under variable flux boundary conditions ⋮ Modeling plant water deficit by a non-local root water uptake term in the unsaturated flow equation ⋮ A mixed MoL-TMoL for the numerical solution of the 2D Richards' equation in layered soils ⋮ Unnamed Item ⋮ A family of new globally convergent linearization schemes for solving Richards' equation ⋮ Exponential time differencing for problems without natural stiffness separation ⋮ A generalization of the method of lines for the numerical solution of coupled, forced vibration of beams

Uses Software

• EnKF

Cites Work

• On the continuous extension of Adams-Bashforth methods and the event location in discontinuous ODEs
• A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side
• Spectral properties and conservation laws in mimetic finite difference methods for PDEs
• An iterative particle filter approach for coupled hydro-geophysical inversion of a controlled infiltration experiment
• A method for the numerical solution of a class of nonlinear diffusion equations
• Inexact Newton methods and the method of lines for solving Richards' equation in two space dimensions
• Rosenbrock-type methods applied to discontinuous differential systems
• Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
• A finite difference scheme for a stiff problem arising in the numerical solution of a population dynamic model with spatial diffusion
• The ensemble Kalman filter for combined state and parameter estimation

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