Daniel R. Lynch

Numerical Partial Differential Equations for Environmental Scientists and Engineers (eBook, PDF)

A First Practical Course

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer-Verlag GmbH
• Seitenzahl: 388
• Erscheinungstermin: 2. Juni 2006
• Englisch
• ISBN-13: 9780387236209
• Artikelnr.: 43730100

Autorenporträt

Daniel R. Lynch, Dartmouth College, Hanover, NH, USA

Inhaltsangabe

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.

Rezensionen

From the reviews of the first edition:

"This book concerns the practical solution of partial differential equations and reflects an inter-disciplinary approach to problems occurring in natural environments. ... it is a new innovation for the student community in environmental science and engineering. It is an excellent piece of research." (Prabhat Kumar Mahanti, Zentralblatt MATH, Vol. 1076, 2006)