Numerical Partial Differential Equations for Environmental Scientists and Engineers A First Practical Course - Lynch, Daniel R.; SpringerLink (Online service) (New York, NY : Springer US : Imprint: Springer, 2005)
The Finite Difference Method -- Finite Difference Calculus -- Elliptic Equations -- Iterative Methods for Elliptic Equations -- Parabolic Equations -- Hyperbolic Equations -- The Finite Element Method -- General Principles -- A 1-D Tutorial -- Multi-Dimensional Elements -- Time-Dependent Problems -- Vector Problems -- Numerical Analysis -- Inverse Methods -- Inverse Noise, SVD, and Linear Least Squares -- Fitting Models to Data -- Dynamic Inversion -- Time Conventions for Real-Time Assimilation -- Skill Assessment for Data Assimilative Models -- Statistical Interpolation.
Keywords: Earth sciences; Environmental sciences; Applied mathematics; Engineering mathematics; Civil engineering; Earth Sciences, general; Math. Appl. in Environmental Science; Mathematical and Computational Engineering; Civil Engineering