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Software for the design and analysis of time discretizations Ketcheson, David
Description
In this talk I will describe and demonstrate two software packages Iâ ve developed as tools for research on time integration methods: Nodepy and RK-Opt. RK-Opt is a MATLAB package for optimizing properties of Runge-Kutta methods. It uses nonlinear optimization to find methods with optimized accuracy and stability properties with a given order, number of stages, and structure (explicit, implicit, diagonally implicit, low storage, etc.). It can be used to design specialized integrators tailored specifically to a class of PDE semi-discretizations. Nodepy (Numerical ODEs in Python) is a package for studying the properties of time integrators, including Runge-Kutta, linear multistep, extrapolation, and deferred correction methods. Given the coefficients of a method, it can provide a wealth of information on its accuracy and stability properties. It also includes basic tools for investigating a methodâ s efficiency in practical terms.
Item Metadata
Title |
Software for the design and analysis of time discretizations
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-12-04T15:33
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Description |
In this talk I will describe and demonstrate two software packages Iâ ve developed as tools for research on time integration methods: Nodepy and RK-Opt.
RK-Opt is a MATLAB package for optimizing properties of Runge-Kutta methods. It uses nonlinear optimization to find methods with optimized accuracy and stability properties with a given order, number of stages, and structure (explicit, implicit, diagonally implicit, low storage, etc.). It can be used to design specialized integrators tailored specifically to a class of PDE semi-discretizations.
Nodepy (Numerical ODEs in Python) is a package for studying the properties of time integrators, including Runge-Kutta, linear multistep, extrapolation, and deferred correction methods. Given the coefficients of a method, it can provide a wealth of information on its accuracy and stability properties. It also includes basic tools for investigating a methodâ s efficiency in practical terms.
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Extent |
27.0
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Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Mathematical and Computer Sciences and Engineering
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Series | |
Date Available |
2019-06-03
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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 |
10.14288/1.0379234
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International