Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications

Oleg P. Iliev

ISBN 10: 1489998306 / ISBN 13: 9781489998309

Verlag: Springer New York, Springer US Jul 2015, 2015

Beschreibung

Neuware -One of the currentmain challenges in the areaof scientific computing¿ is the design and implementation of accuratenumerical models forcomplex physical systems which aredescribed by time dependent coupled systems of nonlinear PDEs.This volume integrates the works of experts in computational mathematics and its applications, with a focuson modern algorithms which are at the heart of accurate modeling: adaptive finite element methods, conservative finite difference methods and finite volume methods,and multilevel solution techniques. Fundamental theoretical results are revisited in survey articles and new techniques in numerical analysis are introduced. Applications showcasing the efficiency, reliability and robustness of the algorithms in porous media, structural mechanics and electromagnetism are presented.Researchers and graduate students in numerical analysis and numerical solutions of PDEsand their scientific computing applications will find this book useful.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 340 pp. Englisch.

Bestandsnummer des Verkäufers 9781489998309

Bibliografische Details

• Titel: Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications
• Verlag: Springer New York, Springer US Jul 2015
• Erscheinungsjahr: 2015
• Sprache: Englisch
• ISBN-10: 1489998306
• ISBN-13: 9781489998309
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

One of the current main challenges in the area of scientific computing​ is the design and implementation of accurate numerical models for complex physical systems which are described by time dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational mathematics and its applications, with a focus on modern algorithms which are at the heart of accurate modeling: adaptive finite element methods, conservative finite difference methods and finite volume methods, and multilevel solution techniques. Fundamental theoretical results are revisited in survey articles and new techniques in numerical analysis are introduced. Applications showcasing the efficiency, reliability and robustness of the algorithms in porous media, structural mechanics and electromagnetism are presented.

Researchers and graduate students in numerical analysis and numerical solutions of PDEs and their scientific computing applications will find this book useful.