03085nam a22004335i 4500 978-0-387-23620-9 DE-He213 20260521091828.0 cr nn 008mamaa 100301s2005 xxu| s |||| 0|eng d 9780387236209 99780387236209 10.1007/b102052 doi CICY Lynch, Daniel R. author. Numerical Partial Differential Equations for Environmental Scientists and Engineers [recurso electrónico] : A First Practical Course / by Daniel R. Lynch. Boston, MA : Springer US, 2005. XXIV, 388 p. online resource. text txt rdacontent computer c rdamedia recurso en línea cr rdacarrier text file PDF rda The 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. This 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. ENGINEERING MATHEMATICS. CIVIL ENGINEERING. ENVIRONMENTAL SCIENCES. GEOSCIENCES. MATH. APPLICATIONS IN GEOSCIENCES. MATH. APPL. IN ENVIRONMENTAL SCIENCE. APPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING. CIVIL ENGINEERING. SpringerLink (Online service) Springer eBooks Printed edition: 9780387236193 http://dx.doi.org/10.1007/b102052 Ver el texto completo en las instalaciones del CICY ddc ER 32173 32173 0 0 ddc 0 0 LE CICY CICY EL 2025-07-10 0 2025-07-10 08:39:29 2025-07-10 ER