This book deals with the reliable verification of the accuracy of approximate solutions which is one of the central problems in modern applied analysis. After giving an overview of the methods developed for models based on partial differential equations, the author derives computable a posteriori error estimates by using methods of the theory of partial differential equations and functional analysis. These estimates are applicable to approximate solutions computed by various methods.
This book deals with the reliable verification of the accuracy of approximate solutions which is one of the central problems in modern applied analysis. After giving an overview of the methods developed for models based on partial differential equations, the author derives computable a posteriori error estimates by using methods of the theory of partial differential equations and functional analysis. These estimates are applicable to approximate solutions computed by various methods.
Sergey Repin, Steklov Institute of Mathematics, St. Petersburg, Russia.
"In the reviewer's opinion, this book would be most suitable for researchers and graduate students in applied mathematics and numeral analysis."
Wen Bin Liu in: Mathematical Reviews 2010b
"It will be useful for experts in computational mathematics, as well as for students interested in applied mathematics."
In: Ems Newsletter 3/2009
