Peter Knabner, Lutz Angerman

eBook, PDF

Numerical Methods for Elliptic and Parabolic Partial Differential Equations (eBook, PDF)

Beschreibung

This text provides an introduction to numerical methods for partial differential equations interweaving both theory and applications throughout. It covers finite difference,finite element and finite volume methods. Extensive exercises are provided throughout the text. Graduate students in mathematics, engineering and physics will find this book useful.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 5.14MB

Barrierefreiheit

• Text-to-Speech

Autor

Peter Knabner is Professor emeritus at the University of Erlangen-Nürnberg, where he has led the chair Applied Mathematics I from 1994 to 2020, and also guest professor at the cluster of excellence SimTech of the University of Stuttgart. Knabner'research  is focussed on the derivation, analysis and numerical approximation of mathematical models for flow and transport in porous media. with applications in science and technology, in particular in hydrogeology.  After the study of Mathematics and Computer Science at the Freie Universität Berlin (diploma in 1972) he earned a PhD from the University of Augsburg in 1983, where he also received a higher doctoral degree (habilitation) in 1988.  Peter Knabner is author of more than 180 peer-reviewed publications in applied analysis, numerical mathematics and geohydrology. He is author and co-author of 13 research monographs and textbooks in German and English.  Lutz Angermann is Professor of Numerical Mathematics at the Department of Mathematics of the Clausthal University of Technology since 2001. His research is concerned with the development and mathematical analysis of numerical methods for solving partial differential equations with special interests in finite volume and finite element methods and their application to problems in Physics and Engineering. After the study of Mathematics at the State University of Kharkov (now V.N. Karazin Kharkiv National University, Ukraine) he earned a PhD from the University of Technology at Dresden in 1987. The University of Erlangen-Nürnberg awarded him a higher doctoral degree (habilitation) in 1995. From 1998 to 2001, he held the post of an Associate Professor of Numerical Mathematics at the University of Magdeburg. He has authored or co-authored about 100 scientific papers, among them four books as co-author, and he edited two books.

Produktdetails

• Verlag: Springer US
• Seitenzahl: 426
• Erscheinungstermin: 26. Mai 2006
• Englisch
• ISBN-13: 9780387217628
• Artikelnr.: 43999084

Rezensionen

"This book has a large amount of new exercise problems that are uniformly distributed across the text. ... this book is a very nice text which will serve well for the undergraduate as well as graduate students and will also become a ready reference for scholars." (Murli M. Gupta, Mathematical Reviews, April, 2023)

"Many of the SIAM Review readership will be interested in NMEPPDE from the standpoint of self-study or classroom education. ... NMEPPDE offers the applied mathematics reader nearly a single point of entry to our broad and challenging area. ... a bit of open space on the bookshelf could profitably be well filled with a copy of NMEPPDE." (Robert C. Kirby, SIAM Review, Vol. 65 (1), March, 2023)