Frank Stenger, Ph.D.
Professor Emeritus
School of Computing
University of Utah
Professor Emeritus Stenger joined the Department in
1989. He is primarily a numerical analyst, although his over 200
publications
Some of Frank Stenger's honors include: Appointment of Distinguished
Visiting Professor, Univ. of Tsukuba in 1987, receipt of First Degree Prize
of the Secretary of Education of Poland in 1996, receipt of the Distiguished
Research Award of the University of Utah in 1997, and being ideintified by
SIAM as one of a few who contributed most to numerical analysis in the 20th
century -- see Historical Remarks.
Asummary of Frank Stenger's past and an account of some of the
highlights of his research up to the present is given in Historical Remarks.
In brief, he is the primary developer of a new area of computation, called
Sinc Methods. This is a close to optimally efficient, and self contained,
family of methods of computation, which enables the computer solutions to
hitherto difficult or impossible to solve problems; e.g., they enable solution
to PDE and integral equation problems over unbounded regions, and they enable
rapid convergence to solutions even in the presence of singularities. Since
then, he has also discoverd "indefinite convolution", which combined with
both Sinc, polynomial and other methods of approximation. enables even more
efficient methods of solving compuational problems. In particlar, this
indefinite convolution procedure enables novel and effictive methods of
solving problems in control, it yieads novel formulas for Laplace transform
inversion and for evaluating Hilbert transforms, it provides a procedure
that circumvents the factorization problem of Wiener-hopf methods (an
unsolved problem for over 80 years) and it enables solution solution of PDE
and integral equation (IE) problems by separation of variables (contradicting
the Morse and Feshbach 1953 prediction that this is possible only in certain
cases) and in so doing, this indefinite convolution procedure circmvents the
requirement of large matrices for solving PDE.
Frank Stenger has authored a 565-page text,
Numerical Methods Based on Sinc and Analytic
Functions, which was published by Springer-Verlag, in 1993.
For further information, click
here
He has also co-authored a 349-page text, with
M. Kowalski and K. Sikorski , entitled
Selected Topics in Approximation and
Computation, which was published by Oxford in 1995. These
authors were awarded "First Prize" for the best scientific work in Poland in
1995. For further information, click
here
More recently, he has authored a 482-page text,
Handbook of Sinc Numerical Methods,
published by CRC Press, in 2011. This text mainly involves
Stenger's Sinc research since 1995. It includes a CD of about 470
Matlab programs. It enables accurate approximation to every
operation of calcuus , and it enables the solution to elliptic,
parabolic and hyperbolic PDE in all dimensions, over bounded or unbouded
curvilinear regions, via use of a finite number of one-dimensional
Sinc matrix multiplicationsusing relatively small-sized matirces.
For more information, click here
He has completed a 266-page monograph Navier--Stokes
Equations on R^3 x [0,T], with D.
Tucker and G. Baumann <\m>, which has been published by
Springer--Verlag, a textbook with G. Baumann<\em>,
Applied Sinc and Polynomial Approximation,
which has been accepted for publication by Springer--Verlag,
and a textbook, Numerical Analysis,
with J.J. McNamee <\em> and W.B. Gearhart <\em>, which is nearly
completed.
The 304--page text entitled Sinc Methods for
Quadrature and Differential Equations , by J. Lund <\em>
and K. Bowers <\em>, which was published by <\em> SIAM <\em> in 1992
is an excellent exposition on the subject of Sinc methods, especially for
beginners. For furtherinformation, click
here.
Professor Stenger's recreational interests
include cooking, cross-country and down-hill skiing, skating,
swimming, boating, back-packing and hiking, the
enjoyment of nearly all types of music (including playing harmonica,
and recorders), bicycles and bicycling, building construction,
watching an occasional great movie on television, watching hockey
games, doing crossword puzzles, old fashioned dancing, playing bridge,
playing golf, and (when he was younger) boxing, playing baseball,
playing softball, playing football, playing hockey, and playing soccer.
He once also spoke several languages, although he has become "rusty" for
all of these, except perhaps for Elnglish, Swabian and German.
Tel (801)359-4452 (leave message if no answer)
School of Computing
Click here to send an E-mail to Frank Stenger
stenger@cs.utah.edu
Mobile Phone: (801) 558-4831
University of Utah
3414 Merrill Engineering Bldg.
Salt Lake City, UT 84112
