Mathematical modeling of Earth's dynamical systems: a primer/
Rudy Slingerland and Lee Kump
- Princeton: Princeton University Press, 2011.
- xii, 231 p. : ill. ; 21 cm.
Example I -- Radiocarbon Content of the Biosphere as a One-Box Model -- Example II -- The Carbon Cycle as a Multibox Model -- Example III -- One-Dimensional Energy Balance Climate Model -- -- Finite Difference Solutions of Box Models -- -- The Forward Euler Method -- -- Predictor-Corrector Methods -- -- Stiff Systems -- Example IV -- Rothman Ocean -- -- Backward Euler Method -- -- Model Enhancements -- -- Summary -- -- Modeling Exercises -- 4 -- One-Dimensional Diffusion Problems -- -- Translations -- Example I -- Dissolved Species in a Homogeneous Aquifer -- Example II -- Evolution of a Sandy Coastline -- Example III -- Diffusion of Momentum -- -- Finite Difference Solutions to 1-D Diffusion Problems -- -- Summary -- -- Modeling Exercises -- 5 -- Multidimensional Diffusion Problems -- -- Translations -- Example I -- Landscape Evolution as a 2-D Diffusion Problem -- Example II -- Pollutant Transport in a Confined Aquifer -- Example III -- Thermal Considerations in Radioactive Waste Disposal.