Numerical Partial Differential Equations for Environmental Scientists and Engineers A First Practical Course /

• Main Author: Lynch, Daniel R. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2005.
• Subjects: Earth sciences.; Applied mathematics.; Engineering mathematics.; Civil engineering.; Environmental sciences.; Earth Sciences.; Earth Sciences, general.; Math. Appl. in Environmental Science.; Appl.Mathematics/Computational Methods of Engineering.; Civil Engineering.

This book concerns the practical solution of Partial Differential Equations (PDEs). It reflects an interdisciplinary approach to problems occurring in natural environmental media: the hydrosphere, atmosphere, cryosphere, lithosphere, biosphere and ionosphere. It assumes the reader has gained some in...

Table of Contents:

• 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.