Open Collections

Page Metadata

Item Metadata

Title	Solving the Schrodinger equation using Smolyak interpolants
Creator	Avilla, Gustavo
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2013-05-02
Description	Interpolation on sparse grids using the Smolyak idea has been used to compute the vibrational levels of CH2O. The complete Watson kinetic energy operator was used. Standard collocation methods require solving a generalized eigenvalue problem, HU=SUE. If the basis is large solving a generalized eigenvalue problem is much more costly than solving HU=UE. The interpolation method we use requires solving HU=UE, but H is not symmetric. Like other sparse grid methods it overcomes the “curse of the dimensionality”. The accuracy of the energies depends both on the functions used to interpolate and on the interpolation points. We choose good interpolating functions because, according to the Boys’ theorem, this will reduce error in the energies.
Extent	25 minutes
Subject	Mathematics Quantum theory Partial differential equations Mathematical physics
Type	Moving Image
FileFormat	video/mp4
Language	eng
Notes	Author affiliation: Queen's University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2014-08-06
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivs 2.5 Canada
DOI	10.14288/1.0043410
URI	http://hdl.handle.net/2429/49351
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
AggregatedSourceRepository	DSpace

Download

Media

48630-201305022036-Avilla_lrv.mp4 [ 88.36MB ]

Metadata

JSON: 48630-1.0043410.json

JSON-LD: 48630-1.0043410-ld.json

RDF/XML (Pretty): 48630-1.0043410-rdf.xml

RDF/JSON: 48630-1.0043410-rdf.json

Turtle: 48630-1.0043410-turtle.txt

N-Triples: 48630-1.0043410-rdf-ntriples.txt

Original Record: 48630-1.0043410-source.json

Citation

48630-1.0043410.ris

Cite

Usage Statistics

Share

Embed

Customize your widget with the following options, then copy and paste the code below into the HTML of your page to embed this item in your website.

Include Metadata Specify width in pixels (leave blank for auto-width):

                        
                            <div id="ubcOpenCollectionsWidgetDisplay">
                            <script id="ubcOpenCollectionsWidget"
                            src="{[{embed.src}]}"
                            data-item="{[{embed.item}]}"
                            data-collection="{[{embed.collection}]}"
                            data-metadata="{[{embed.showMetadata}]}"
                            data-width="{[{embed.width}]}"
                            data-media="{[{embed.selectedMedia}]}"
                            async >
                            </script>
                            </div>
                        
                    

Our image viewer uses the IIIF 2.0 standard. To load this item in other compatible viewers, use this url:

https://iiif.library.ubc.ca/presentation/dsp.48630.1-0043410/manifest

Comment

Related Items