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Parallel Spectral Numerical Methods
dc.contributor.authorChen, Gong
dc.contributor.authorCloutier, Brandon
dc.contributor.authorLi, Ning
dc.contributor.authorMuite, Benson
dc.contributor.authorRigge, Paul
dc.date.accessioned2016-06-03T20:45:17Z
dc.date.available2016-06-03T20:45:17Z
dc.date.issued2012-04
dc.identifier.citationChen, G. Cloutier, B. Li, N. Muite, B. Rigge, P. (2012, April 24). Parallel Spectral Numerical Methods. Retrieved from Open.Michigan - Educational Resources Web site: http://open.umich.edu/education/lsa/resources/psnm/2012
dc.identifier.urihttps://hdl.handle.net/2027.42/120499
dc.descriptionParallel Spectral Numerical Methods starts by taking a quick look at fi nite precision arithmetic. It then discusses how to solve ordinary differential equations (ODE) and partial differential equations (PDE) using separation of variables. Next, it introduces numerical time-stepping schemes that can be used to solve ODEs and PDEs. This is followed by an introduction to pseudo spectral methods through an overview of the discrete Fourier Transform (DFT) and the Fast Fourier Transform (FFT) algorithm that is used to quickly calculate the DFT. Finally it will combine all of these to solve a couple of different PDEs first in a serial setting and then in a parallel setting. ¶ The programs will use Matlab and Fortran. A Python implementation of some of the Matlab programs is also provided.
dc.publisherOpen.Michigan
dc.rightsAttribution 3.0 Unported (CC BY 3.0)
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/
dc.subjectdifferential equations
dc.subjectfortran
dc.subjectfourier transform
dc.subjectmatlab
dc.subjectmethods
dc.subjectnite precision arithmetic
dc.subjectnumerical
dc.subjectopen textbooks
dc.subjectparallel
dc.subjectpython
dc.subjectspectral
dc.titleParallel Spectral Numerical Methods
dc.typeLearning Objecten_US
dc.subject.hlbsecondlevelMathematics
dc.subject.hlbtoplevelScience
dc.contributor.affiliationumLiterature, Science, and the Arts
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/120499/1/lsa-parallel_spectral_numerical_methods-April12.zip
dc.owningcollnameOpen Educational Resources


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Attribution 3.0 Unported (CC BY 3.0)
Except where otherwise noted, this item's license is described as Attribution 3.0 Unported (CC BY 3.0)

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