Reliable Methods for Computer Simulation: Error Control and a Posteriori Estimates: Error Control and Posteriori Estimates: Volume 33 - Rilegato

Neittaanmaki, P.; Repin, S.

 
9780444513762: Reliable Methods for Computer Simulation: Error Control and a Posteriori Estimates: Error Control and Posteriori Estimates: Volume 33
Rilegato
ISBN 10: 0444513760 ISBN 13: 9780444513762
Casa editrice: Elsevier Science Serials, 2004

Sinossi

Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations. In general, a reliable numerical method must solve two basic problems: (a) generate a sequence of approximations that converges to a solution and (b) verify the accuracy of these approximations. A computer code for such a method must consist of two respective blocks: solver and checker.

In this book, we are chiefly concerned with the problem (b) and try to present the main approaches developed for a posteriori error estimation in various problems.

The authors try to retain a rigorous mathematical style, however, proofs are constructive whenever possible and additional mathematical knowledge is presented when necessary. The book contains a number of new mathematical results and lists a posteriori error estimation methods that have been developed in the very recent time.

· computable bounds of approximation errors
· checking algorithms
· iteration processes
· finite element methods
· elliptic type problems
· nonlinear variational problems
· variational inequalities

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Informazioni sull?autore

Pekka Neittaanmäki is Professor at University of Jyväskylä and the UNESCO Chair on Digital Platforms for Emerging Economies. He is the author of 50 books and 300 articles. He is on the Board of 10 journals and academic associations and has received 10 honorable awards. His research is on digital platform economics and information technology industrial applications.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Elsevier Science Serials
Data di pubblicazione
2004
Lingua
Inglese
ISBN 10 
0444513760
ISBN 13 
9780444513762
Rilegatura
Copertina rigida
Numero di pagine
305
Contatto del produttore
non disponibile
Persona responsabile
Barbara Criscuolo
b.criscuolo@lswr.it

Via Spadolini, 7
Milano
20141
Italia

Altre edizioni note dello stesso titolo

9780444550064: Reliable Methods for Computer Simulation: Error Control and Posteriori Estimates (Volume 33)

Edizione in evidenza

ISBN 10:  0444550062 ISBN 13:  9780444550064
Casa editrice: Elsevier Science Ltd, 2004
Brossura