Reliable Methods for Computer Simulation : Error Control and Posteriori Estimates (Studies in Mathematics and Its Applications) артикул 150c.
Reliable Methods for Computer Simulation : Error Control and Posteriori Estimates (Studies in Mathematics and Its Applications) артикул 150c.

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 methodsofreliable computations In general, a reliable numerical method must solve two basic problems: одцна (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 toretain 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.  От издателяISBN 0444513760.