INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9783319022314
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-52366
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Strong and Weak Approximation of Semilinear Stochastic Evolution Equation
General Material Designation
[Book]
First Statement of Responsibility
/ by Raphael Kruse
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham
Name of Publisher, Distributor, etc.
: Springer International Publishing :Imprint: Springer,
Date of Publication, Distribution, etc.
, 2014.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
XIV, 177 p. 4 illus., online resource.
SERIES
Series Title
(Lecture Notes in Mathematics,0075-8434
Volume Designation
; 2093)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
CONTENTS NOTE
Text of Note
In this book we analyze the error caused by numerical schemes for the approximation of semilinear stochastic evolution equations (SEEq) in a Hilbert space-valued setting. The numerical schemes considered combine Galerkin finite element methods with Euler-type temporal approximations. Starting from a precise analysis of the spatio-temporal regularity of the mild solution to the SEEq, we derive and prove optimal error estimates of the strong error of convergence in the first part of the book. The second part deals with a new approach to the so-called weak error of convergence, which measures the distance between the law of the numerical solution and the law of the exact solution. This approach is based on Bismut's integration by parts formula and the Malliavin calculus for infinite dimensional stochastic processes. These techniques are developed and explained in a separate chapter, before the weak convergence is proven for linear SEEq.
Text of Note
Introduction -- Stochastic Evolution Equations in Hilbert Spaces -- Optimal Strong Error Estimates for Galerkin Finite Element Methods -- A Short Review of the Malliavin Calculus in Hilbert Spaces -- A Malliavin Calculus Approach to Weak Convergence -- Numerical Experiments -- Some Useful Variations of Gronwall's Lemma -- Results on Semigroups and their Infinitesimal Generators -- A Generalized Version of Lebesgue's Theorem -- References -- Index.?╗╣
SERIES
Title
Lecture Notes in Mathematics,0075-8434
Volume Number
2093
TOPICAL NAME USED AS SUBJECT
Mathematics
Differential equations, partial
Numerical analysis
Distribution (Probability theory)
Electronic books
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Kruse, Raphael.
PERSONAL NAME - SECONDARY RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9783319022307.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9783319022307.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
