Numerical Methods for Elliptic and Parabolic Partial Differential Equations

Knabner Peter

ISBN 10: 3030793842 / ISBN 13: 9783030793845

Editore: Springer, 2021

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Codice articolo 18387193217

Dati bibliografici

• Titolo: Numerical Methods for Elliptic and Parabolic Partial Differential Equations
• Editore: Springer
• Data di pubblicazione: 2021
• Lingua: Inglese
• ISBN 10: 3030793842
• ISBN 13: 9783030793845
• Rilegatura: Rilegato
• Edizione: seconda edizione
• Condizione: New

Descrizione articolo

Riassunto

This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises.

Informazioni sull?autore

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.