The Resource Adaptive wavelet discretization of tensor products in H-Tucker format, by Mazen Ali

Adaptive wavelet discretization of tensor products in H-Tucker format, by Mazen Ali

Label
Adaptive wavelet discretization of tensor products in H-Tucker format
Title
Adaptive wavelet discretization of tensor products in H-Tucker format
Statement of responsibility
by Mazen Ali
Creator
Author
Subject
Language
eng
Summary
"In previous work, the solution to a system of coupled parabolic PDEs, modeling the price of a CDO, was approximated numerically. Due to the nature of the problem, the system involved a large number of equations such that the parameters cannot be stored explicitly. The authors combined the data sparse H-Tucker storage format with the Galerkin method to approximate the solution, using wavelets for the space discretization together with time stepping (Method of Lines). The aforementioned approximation is of the linear kind, i.e., using a nonadaptive method. In this work, three methods for solving such systems adaptively are presented, together with a convergence and complexity analysis. The best choice of the method among the three, in general, depends on the particular application. It is shown that (quasi- )optimality is not achieved in the classical sense for adaptive methods, since it, in general, relies on the H-Tucker structure."--Abstract, page iii
Member of
Cataloging source
UMR
http://library.link/vocab/creatorDate
1990-
http://library.link/vocab/creatorName
Ali, Mazen
Degree
M.S.
Dissertation year
2014
Granting institution
Missouri University of Science and Technology
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
  • theses
http://library.link/vocab/subjectName
  • Tensor products
  • Wavelets (Mathematics)
  • Numerical analysis
Label
Adaptive wavelet discretization of tensor products in H-Tucker format, by Mazen Ali
Instantiates
Publication
Note
Vita
Bibliography note
Includes bibliographic references (pages 110-113)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
894577460
Extent
1 online resource (xii, 114 pages)
Form of item
online
Governing access note
These materials are protected under copyright by the original author
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)894577460
Label
Adaptive wavelet discretization of tensor products in H-Tucker format, by Mazen Ali
Publication
Note
Vita
Bibliography note
Includes bibliographic references (pages 110-113)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
894577460
Extent
1 online resource (xii, 114 pages)
Form of item
online
Governing access note
These materials are protected under copyright by the original author
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)894577460

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