TY  - BOOK
AU  - Grossmann,Christian
AU  - Roos,Hans-Gorg
AU  - Stynes,Martin
ED  - SpringerLink (Online service)
TI  - Numerical Treatment of Partial Differential Equations: Translated and revised by Martin Stynes 
T2  - Universitext,
SN  - 9783540715849
AV  - QA299.6-433 
U1  - 515 23
PY  - 2007///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Global analysis (Mathematics)
KW  - Numerical analysis
KW  - Differential equations, partial
KW  - Analysis
KW  - Numerical Analysis
KW  - Partial Differential Equations
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-3-540-71584-9
ER  -