000 03075nam a22004215i 4500
001 978-0-387-23620-9
003 DE-He213
005 20250710083929.0
007 cr nn 008mamaa
008 100301s2005 xxu| s |||| 0|eng d
020 _a9780387236209
_a99780387236209
024 7 _a10.1007/b102052
_2doi
100 1 _aLynch, Daniel R.
_eauthor.
245 1 0 _aNumerical Partial Differential Equations for Environmental Scientists and Engineers
_h[recurso electrónico] :
_bA First Practical Course /
_cby Daniel R. Lynch.
264 1 _aBoston, MA :
_bSpringer US,
_c2005.
300 _aXXIV, 388 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aThe 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.
520 _aThis 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 intuitive knowledge of PDE solution properties and now wants to solve some for real, in the context of practical problems arising in real situations. The practical aspect of this book is the infused focus on computation. It presents two major discretization methods - Finite Difference and Finite Element. The blend of theory, analysis, and implementation practicality supports solving and understanding complicated problems. It is divided into three parts. Part I is an overview of Finite Difference Methods. Part II focuses on Finite Element Methods, including an FEM tutorial. Part III deals with Inverse Methods, introducing formal approaches to practical problems which are ill-posed.
650 0 _aENGINEERING MATHEMATICS.
650 0 _aCIVIL ENGINEERING.
650 0 _aENVIRONMENTAL SCIENCES.
650 1 4 _aGEOSCIENCES.
650 2 4 _aMATH. APPLICATIONS IN GEOSCIENCES.
650 2 4 _aMATH. APPL. IN ENVIRONMENTAL SCIENCE.
650 2 4 _aAPPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING.
650 2 4 _aCIVIL ENGINEERING.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387236193
856 4 0 _uhttp://dx.doi.org/10.1007/b102052
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-EES
942 _2ddc
_cER
999 _c56235
_d56235