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The many faces of stiffness Ascher, Uri
Description
The words "stiff", "stiffness", "stiffening", etc., arise often in applications when simulating, calibrating and controlling dynamics. But these words often have different meanings in different contexts. A subset on which we will concentrate includes: (i) Textbook-type (decaying) numerical ODE stiffness (ii) Highly oscillatory stiffness (iii) Stiffness matrix (iv) Numerical stiffening. Some of these terms are popular in scientifc computing, while others come from mechanical engineering. A potential confusion may arise in this way, and it gets serious when more than one meaning is encountered in the context of one application. Such is the case with the simulation of deformable objects in visual computing, where all of the above appear in one way or another under one roof. In this lecture I will describe the meaning of stiffness in each of these topics, how they arise, how they are related, what practical challenges they bring up, and how these challenges are handled in context. The concepts and their evolution will be demonstrated. It is about meshes -- their resolution and spectral properties -- both in time and in space.
Item Metadata
Title |
The many faces of stiffness
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-12-03T09:00
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Description |
The words "stiff", "stiffness", "stiffening", etc., arise often in applications when
simulating, calibrating and controlling dynamics. But these words often have different meanings in different contexts. A subset on which we will concentrate includes:
(i) Textbook-type (decaying) numerical ODE stiffness
(ii) Highly oscillatory stiffness
(iii) Stiffness matrix
(iv) Numerical stiffening.
Some of these terms are popular in scientifc computing, while others come from mechanical engineering. A potential confusion may arise in this way, and it gets serious when more than one meaning is encountered in the context of one application. Such is the case with the simulation of deformable objects in visual computing, where all of the above appear in one way or another under one roof.
In this lecture I will describe the meaning of stiffness in each of these topics, how they arise, how they are related, what practical challenges they bring up, and how these challenges are handled in context. The concepts and their evolution will be demonstrated. It is about meshes -- their resolution and spectral properties -- both in time and in space.
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Extent |
36.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of British Columbia
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Series | |
Date Available |
2020-12-09
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0395187
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International