03126nam a22004335i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024002500137040000900162100003000171245016400201264003800365300003500403336002600438337002600464338003900490347002400529505058300553520099201136650002902128650002302157650002802180650001702208650003902225650004202264650005902306650002302365710003402388773002002422776003602442856009302478942001202571999001702583952009202600978-0-387-23620-9DE-He21320260521091828.0cr nn 008mamaa100301s2005 xxu| s |||| 0|eng d a9780387236209 a997803872362097 a10.1007/b1020522doi cCICY1 aLynch, Daniel R.eauthor.10aNumerical Partial Differential Equations for Environmental Scientists and Engineersh[recurso electrónico] :bA First Practical Course /cby Daniel R. Lynch. 1aBoston, MA :bSpringer US,c2005. aXXIV, 388 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia arecurso en líneabcr2rdacarrier atext filebPDF2rda0 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. 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. 0aENGINEERING MATHEMATICS. 0aCIVIL ENGINEERING. 0aENVIRONMENTAL SCIENCES.14aGEOSCIENCES.24aMATH. APPLICATIONS IN GEOSCIENCES.24aMATH. APPL. IN ENVIRONMENTAL SCIENCE.24aAPPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING.24aCIVIL ENGINEERING.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z978038723619340uhttp://dx.doi.org/10.1007/b102052zVer el texto completo en las instalaciones del CICY 2ddccER c32173d32173 00102ddc40708LEaCICYbCICYcELd2025-07-10l0r2025-07-10 08:39:29w2025-07-10yER