Książki

For readers with some competence in PDE solution properties, this book offers an interdisciplinary approach to problems occurring in natural environmental media: the hydrosphere, atmosphere, cryosphere, lithosphere, biosphere and ionosphere. It presents two major discretization methods: Finite Difference and Finite Element, plus a section on practical approaches to ill-posed problems. The blend of theory, analysis, and implementation practicality supports solving and understanding complicated problems.

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

The Finite Difference Method.- Introduction.- Finite Difference Calculus.- Elliptic Equations.- Elliptic Iterations.- Parabolic Equations.- Hyperbolic Equations.- The Finite Element Method.- General Principles.- A 10D Tutorial.- Multi-Dimensional Elements.- Time-Dependent Problems.- Vector Problems.- Numerical Analysis.- Inverse Methods.- Inverse Noise, SVD, and LLS.- Fitting Models to Data.- Dynamic Inversion.- Time Conventions for Real-Time Assimilation.- Skill Assessment for Data Assimilative Models.- Statistical Interpolation.- Appendices.- Bibliography.- Index.