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DTSTART:20230312T070000
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DTSTART:20221106T060000
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UID:event.877895.www.amherst.edu
DTSTART;TZID=America/New_York:20230328T163000
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LOCATION:Seeley G. Mudd Building\, 206
SUMMARY:Mathematics Colloquium: Ron Buckmire\, Occidental College: \"Differ
ent\nDifferences: A Primer on NSFD Methods for Solving Differential\nEquat
ions\"
CLASS:PUBLIC
DESCRIPTION:From calculus we know that a derivative of a function can be\na
pproximated using a difference quotient. There are different forms of\nthe
different quotient\, such as the forward difference (most common)\,\nback
ward difference and centered difference (more accurate). In this\ntalk I w
ill discuss several different differences\, specifically\nnonstandard fini
te differences (NFSD) that can be used to approximate\nthe derivatives tha
t appear in differential equations as a solution\ntechnique. Many NSFD sch
emes have been discovered and promoted by\nRonald E. Mickens\, an African
American professor emeritus of physics\nat Clark Atlanta University who ha
s written more than 300 research\narticles and a dozen books. I'll provide
a number of examples of how\nNSFD schemes can be used to solve a wide var
iety of problems drawn\nfrom first-semester calculus to elementary ordinar
y differential\nequations to advanced computational fluid dynamics.\n\nAll
students are welcome to attend. Only knowledge of elementary\nderivatives
/anti-derivatives and Taylor approximations will be\nassumed.\n\nRSVP to P
rofessor Amanda Folsom afolsom@amherst.edu for dinner with\nthe speaker on
March 27 or 28 following the talks.\n
DTSTAMP:20240226T140827Z
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