|
Math Sites: |
Mathworld Math History MAA AMS |
Latest Major Publication |
Hi. My name is Jeff Groah.
Phonetically, my last name is spelled Grō.
A homophone is Grow.
On my first driver's
license, it was spelled Groan.
However, you may call me Jeff.
I received my Ph.D. in mathematics from the University of
California at Davis in
1995, and have been teaching math
ever since. I was born and raised in Fresno,
California
located in the agricultural central San Joaquin Valley, and
am a recent transplant to Texas.
By the way, I highly
recommend the book "Lone Star: A History of Texas and the
Texans" by T. R. Fehrenbach. Another quick read
is, "The Woodlands: The
Inside Story of Creating
a Better Hometown" by Roger Galatas, where you will
learn
about the very rare and humorously tasty Bounty owls.
My recent publications include:
|
About this book
This monograph presents a self-contained mathematical treatment of the initial value problem for shock wave solutions of the Einstein equations in General Relativity. The first two chapters provide background for the introduction of a locally intertial Glimm Scheme, a non-dissipative numerical scheme for approximating shock wave solutions of the Einstein equations in spherically symmetric spacetimes. What follows is a careful analysis of this scheme providing a proof of the existence of (shock wave) solutions of the spherically symmetric Einstein equations for a perfect fluid, starting from initial density and velocity profiles that are only locally of bounded total variation. The book covers the initial value problems for Einstein's gravitational field equations with fluid sources and shock wave initial data. It has a clearly outlined goal: proving a certain local existence theorem. Concluding remarks are added and commentary is provided throughout. The book will be useful to graduate students and researchers in mathematics and physics.
Written for:
Researchers, graduate students
|
Groah, J., Temple, B., Shock-Wave Solutions of the Einstein Equations with Perfect Fluid Sources: Existence and Consistency by a Locally Inertial Glimm Scheme, Memoirs of the American Mathematical Society, November 2004, Vol. 172, No. 813
The "Memoirs" is a very prestigious
journal, and I am honored
to have such a publication along with the
distinguished
mathematician J. Blake Temple.
I have some other articles in the pipeline and will keep you
informed. In
particular, I should mention an article on measuring
the surface area of a
swimming pool from measurements made
along the perimeter. I got the idea for
this paper while sitting beside
my pool. You might remember that the ancient
mathematician Archimedes came up with the idea of his law of buoyancy while
floating in the public bath. Unlike Archimedes, I didn't run through
the streets
of Syracuse naked yelling Eureka! Eureka!, though it is amazing what theories
result from relaxation in or near water.
| Office: F 243 | |
| Phone: 936-271-6118 | |
Math and
Technology Archive
Etymology of the word "Mathematic"
(From Merriam-Webster Dictionary)
Middle English
Mathematicalle
From Latin
Mathematicus
From Greek
Mathematicos
From mathemat-
Mathema=Learning, mathematics
From Manthenein to learn
Dice and the Euler Characteristic
Moon Halos
Do 'Em If You
Dare
Are you up to the challenge? Test you mettle on these problems.
Berkeley
Problems
Euclidean Constructions
Lorentz Curve
Solar Calendar
and Clock