Numerical Partial Differential Equations for Environmental Scientists and Engineers A First Practical Course /

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 in...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Lynch, Daniel R. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Boston, MA : Springer US, 2005.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Lynch, Daniel R.  |e author. 
245 1 0 |a Numerical Partial Differential Equations for Environmental Scientists and Engineers  |h [electronic resource] :  |b A First Practical Course /  |c by Daniel R. Lynch. 
264 1 |a Boston, MA :  |b Springer US,  |c 2005. 
300 |a XXIV, 388 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 |a 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. 
520 |a 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. 
650 0 |a Earth sciences. 
650 0 |a Applied mathematics. 
650 0 |a Engineering mathematics. 
650 0 |a Civil engineering. 
650 0 |a Environmental sciences. 
650 1 4 |a Earth Sciences. 
650 2 4 |a Earth Sciences, general. 
650 2 4 |a Math. Appl. in Environmental Science. 
650 2 4 |a Appl.Mathematics/Computational Methods of Engineering. 
650 2 4 |a Civil Engineering. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9780387236193 
856 4 0 |u http://dx.doi.org/10.1007/b102052  |z Full Text via HEAL-Link 
912 |a ZDB-2-EES 
950 |a Earth and Environmental Science (Springer-11646)