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UID:20230601T012148EDT-0649464f9b@www.amherst.edu/node/877895
DTSTAMP:20230601T052148Z
CATEGORIES:Amherst Event
DESCRIPTION:From calculus we know that a derivative of a function can be ap
proximated using a difference quotient. There are different forms of the d
ifferent quotient\, such as the forward difference (most common)\, backwar
d difference and centered difference (more accurate). In this talk I will
discuss several different differences\, specifically nonstandard finite di
fferences (NFSD) that can be used to approximate the derivatives that appe
ar in differential equations as a solution technique. Many NSFD schemes ha
ve been discovered and promoted by Ronald E. Mickens\, an African American
professor emeritus of physics at Clark Atlanta University who has written
more than 300 research articles and a dozen books. I'\;ll provide a n
umber of examples of how NSFD schemes can be used to solve a wide variety
of problems drawn from first-semester calculus to elementary ordinary diff
erential equations to advanced computational fluid dynamics. \n\nAll stude
nts are welcome to attend. Only knowledge of elementary derivatives/anti-d
erivatives and Taylor approximations will be assumed.\n\nRSVP to Professor
Amanda Folsom afolsom@amherst.edu for dinner with the speaker on March 27
or 28 following the talks.
DTSTART:20230328T203000Z
DTEND:20230328T213000Z
LOCATION:Seeley G. Mudd Building\, 206
SUMMARY:Mathematics Colloquium: Ron Buckmire\, Occidental College: 'Differe
nt Differences: A Primer on NSFD Methods for Solving Differential Equation
s'
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