Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Normal view MARC view ISBD view

Numerical Treatment of Partial Differential Equations [electronic resource] : Translated and revised by Martin Stynes / by Christian Grossmann, Hans-Gorg Roos, Martin Stynes.

By: Grossmann, Christian [author.].
Contributor(s): Roos, Hans-Gorg [author.] | Stynes, Martin [author.] | SpringerLink (Online service).
Material type: TextTextSeries: Universitext: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007Description: XII, 596 p. 86 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540715849.Subject(s): Global analysis (Mathematics) | Numerical analysis | Differential equations, partial | Analysis | Numerical Analysis | Partial Differential EquationsAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 515 Online resources: Click here to access online
Contents:
Partial Differential Equations: Basics and Explicit Representation of Solutions -- Finite Difference Methods -- Weak Solutions, Elliptic Problems and Sobolev Spaces -- The Finite Element Method -- Finite Element Methods for Unsteady Problems -- Singular Perturbations -- Numerical Methods for Variational Inequalities and Optimal Control -- Numerical Methods for Discretized Problems.
In: Springer eBooksSummary: Many well-known models in the natural sciences and engineering, and today even in economics, depend on partial di?erential equations. Thus the e?cient numerical solution of such equations plays an ever-increasing role in state-- the-art technology. This demand and the computational power available from current computer hardware have together stimulated the rapid development of numerical methods for partial di?erential equations—a development that encompasses convergence analyses and implementational aspects of software packages. In 1988 we started work on the ?rst German edition of our book, which appeared in 1992. Our aim was to give students a textbook that contained the basic concepts and ideas behind most numerical methods for partial di?er- tial equations. The success of this ?rst edition and the second edition in 1994 encouraged us, ten years later, to write an almost completely new version, taking into account comments from colleagues and students and drawing on the enormous progress made in the numerical analysis of partial di?erential equations in recent times. The present English version slightly improves the third German edition of 2005: we have corrected some minor errors and added additional material and references.
Tags from this library: No tags from this library for this title. Log in to add tags.
No physical items for this record

Partial Differential Equations: Basics and Explicit Representation of Solutions -- Finite Difference Methods -- Weak Solutions, Elliptic Problems and Sobolev Spaces -- The Finite Element Method -- Finite Element Methods for Unsteady Problems -- Singular Perturbations -- Numerical Methods for Variational Inequalities and Optimal Control -- Numerical Methods for Discretized Problems.

Many well-known models in the natural sciences and engineering, and today even in economics, depend on partial di?erential equations. Thus the e?cient numerical solution of such equations plays an ever-increasing role in state-- the-art technology. This demand and the computational power available from current computer hardware have together stimulated the rapid development of numerical methods for partial di?erential equations—a development that encompasses convergence analyses and implementational aspects of software packages. In 1988 we started work on the ?rst German edition of our book, which appeared in 1992. Our aim was to give students a textbook that contained the basic concepts and ideas behind most numerical methods for partial di?er- tial equations. The success of this ?rst edition and the second edition in 1994 encouraged us, ten years later, to write an almost completely new version, taking into account comments from colleagues and students and drawing on the enormous progress made in the numerical analysis of partial di?erential equations in recent times. The present English version slightly improves the third German edition of 2005: we have corrected some minor errors and added additional material and references.

There are no comments for this item.

Log in to your account to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in


Visitor Counter