Coadjoint Formalism: Nonorthogonal Basis Problems
Joint Authors
Piqueira, José Roberto Castilho
Labecca, William
Guimarães, Osvaldo
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-07-27
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Using nonorthogonal bases in spectral methods demands considerable effort, because applying the Gram-Schmidt process is a fundamental condition for calculations.
However, operational matrices numerical methods are being used in an increasing way and extensions for nonorthogonal bases appear, requiring simplified procedures.
Here, extending previous work, an efficient tensorial method is presented, in order to simplify the calculations related to the use of nonorthogonal bases in spectral numerical problems.
The method is called coadjoint formalism and is based on bracket Dirac’s formulation of quantum mechanics.
Some examples are presented, showing how simple it is to use the method.
American Psychological Association (APA)
Labecca, William& Guimarães, Osvaldo& Piqueira, José Roberto Castilho. 2016. Coadjoint Formalism: Nonorthogonal Basis Problems. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1112917
Modern Language Association (MLA)
Labecca, William…[et al.]. Coadjoint Formalism: Nonorthogonal Basis Problems. Mathematical Problems in Engineering No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1112917
American Medical Association (AMA)
Labecca, William& Guimarães, Osvaldo& Piqueira, José Roberto Castilho. Coadjoint Formalism: Nonorthogonal Basis Problems. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1112917
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112917