Reliable Methods for Computer Simulation

Error Control and Posteriori Estimates

Nonfiction, Computers, Advanced Computing, Engineering, Computer Engineering, Science & Nature, Mathematics, General Computing
Cover of the book Reliable Methods for Computer Simulation by Pekka Neittaanmäki, Sergey R. Repin, Elsevier Science
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Pekka Neittaanmäki, Sergey R. Repin ISBN: 9780080540504
Publisher: Elsevier Science Publication: September 4, 2004
Imprint: Elsevier Science Language: English
Author: Pekka Neittaanmäki, Sergey R. Repin
ISBN: 9780080540504
Publisher: Elsevier Science
Publication: September 4, 2004
Imprint: Elsevier Science
Language: English

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

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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

More books from Elsevier Science

Cover of the book A Concise Geologic Time Scale by Pekka Neittaanmäki, Sergey R. Repin
Cover of the book Material Substructures in Complex Bodies by Pekka Neittaanmäki, Sergey R. Repin
Cover of the book Advances in Dopamine Research by Pekka Neittaanmäki, Sergey R. Repin
Cover of the book Gas Sweetening and Processing Field Manual by Pekka Neittaanmäki, Sergey R. Repin
Cover of the book Analog Circuit Design Volume Three by Pekka Neittaanmäki, Sergey R. Repin
Cover of the book Arthropod Vector: Controller of Disease Transmission, Volume 1 by Pekka Neittaanmäki, Sergey R. Repin
Cover of the book Perl Scripting for Windows Security by Pekka Neittaanmäki, Sergey R. Repin
Cover of the book Brewing Microbiology by Pekka Neittaanmäki, Sergey R. Repin
Cover of the book Process Control in Textile Manufacturing by Pekka Neittaanmäki, Sergey R. Repin
Cover of the book Advances in Organometallic Chemistry by Pekka Neittaanmäki, Sergey R. Repin
Cover of the book Earthquake Hazard, Risk and Disasters by Pekka Neittaanmäki, Sergey R. Repin
Cover of the book Meyler's Side Effects of Herbal Medicines by Pekka Neittaanmäki, Sergey R. Repin
Cover of the book Health Education and the Media II by Pekka Neittaanmäki, Sergey R. Repin
Cover of the book WISC-V by Pekka Neittaanmäki, Sergey R. Repin
Cover of the book The Compliance Response to Misconduct Allegations by Pekka Neittaanmäki, Sergey R. Repin
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy