TY - BOOK ID - 215373 TI - Numerical Treatment of Partial Differential Equations AU - Grossmann, Christian. AU - Roos, Hans-Görg. AU - Stynes, Martin. PY - 2007 SN - 3540715843 3540715827 PB - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, DB - UniCat KW - Differential equations, Partial KW - Finite differences. KW - Finite element method. KW - Numerical analysis. KW - Numerical solutions. KW - Mathematical analysis KW - FEA (Numerical analysis) KW - FEM (Numerical analysis) KW - Finite element analysis KW - Numerical analysis KW - Isogeometric analysis KW - Differences, Finite KW - Finite difference method KW - Global analysis (Mathematics). KW - Differential equations, partial. KW - Analysis. KW - Numerical Analysis. KW - Partial Differential Equations. KW - Partial differential equations KW - Analysis, Global (Mathematics) KW - Differential topology KW - Functions of complex variables KW - Geometry, Algebraic KW - Mathematical analysis. KW - Analysis (Mathematics). KW - Partial differential equations. KW - 517.1 Mathematical analysis UR - https://www.unicat.be/uniCat?func=search&query=sysid:215373 AB - 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. ER -