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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.…mehr

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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.


Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

  • 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)