Brenton leMesurier

Associate Professor
Department of Mathematics
College of Charleston
Charleston, SC 29424
Phone (843) 953-5917, messages -5730, FAX -1410.

Last revised March 18, 2008.

My email address (obfuscated to avoid automated collection for junk mail purposes) is lemesurierb "at" cofc.edu

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News

Tuesday March 18

Math 221 site updated, with notes up to Chapter 15, Section 7, on Triple Integrals, and a list of All Homework Exercises from Chapters 12 to 15.

Courses this semester, Spring 2008

This Spring, I am teaching Calculus 3, Math 221:

• Math 221 section 1, Monday, Wednesday and Friday 10-10:50am and Thursday 9:25-10:40am in Maybank 108,
  and
• Math 221 section 2, Monday, Wednesday and Friday 12-12:50pm and Thursday 12:15-1:30pm in Maybank 223.

Courses in previous semesters

Here are the web sites for some other courses I have taught in the last three years, and one earlier one.

• Introductory Calculus (Math 120), Fall 2007.
• Introductory Calculus (Math 120), Fall 2006.
• Calculus 2 (Math 220), Spring 2007
• Calculus 2 (Math 220), Spring 2005
• Numerical Methods and Mathematical Computing (Math 245), Fall 2006.
• Mathematical Computing and Programming Laboratory (Math 246), Fall 2006.
• Numerical Analysis 1 (Math 545), Spring 2007.
• Numerical Analysis 1 (Math 545), Spring 2005.
• Numerical Analysis 2 (Math 645), Fall 1999.

Curriculum Vitae

Mathematical Interests

My main research area is self-focusing of nonlinear waves, particularly as it occurs in plasma physics laser propagation and vibrations in long biological molecules: proteins and DNA. Much if this work involves numerical methods for approximation solution of these and other nonlinear evolution equations. Recently I have added consideration of random effects to the mathematical models, leading to Stochastic Differential Equations.

The SIAM South-Eastern Atlantic Section 2008 conference

This year I am president of the SIAM South-Eastern Atlantic Section, whose main activity is an annual conference to be held on March 14 and 15, 2008 (Friday and Saturday) at the University of Central Florida (yes, Spring Break in Florida).

The principal speakers are Akram Aldroubi of Vanderbilt, Lisa Fauci of Tulane, Ioannis Karatzas of Columbia University, and Neil Robertson of Ohio State University.

Further details like calls for participation are at the SIAM-SEAS 2008 Conference web-site.

Some Recent Talks, Publications, and Preprints

• My recent work on wave propagation in biopolymers is described in the PDF presentation for my talk at the Nonlinear Evolution Equations and Dynamic Systems Workshop on the 22nd of June 2007 at L'Ametlla de Mar, Spain. A paper based on this is scheduled to appear in the new Journal of Discrete and Dynamic Systems Series S, volume 1, number 2 pages 317-327 June 2008. It has already appeared online: see DSCS-S website)
• Other recent work is described in the PDF slideshow Modeling thermal effects on nonlinear wave motion in biopolymers by a discrete nonlinear Schrödinger equation with damping and stochastic driving for a talk at the SIAM Conference on Nonlinear Waves and Coherent Structures, September 9-12, 2006.
• The paper Wave energy self-trapping by self-focusing in large molecular structures: a damped stochastic discrete nonlinear Schrödinger equation model on joint work with CofC undergraduate Barron Whitehead, appeared in Physica D: Nonlinear Phenomena volume 225, 1 January 2007, pages 1-12. It is also published online at DOI online. This link should work from on-campus at the CofC, or anywhere else with a suitable online subscription. Otherwise, a preprint version from January 2006 is available online, but the final version is substantially revised, particularly by the use of improved numerical methods, which are described in the more recent talk above.
• The paper Beam stabilization in the 2D nonlinear Schrödinger equation with attractive potential by beam splitting and radiation appeared in Physical Review E volume 70, 046614, 28 October 2004. There is a preprint available.
• The paper Regularization and control of self-focusing in the 2D cubic Schrödinger equation by attractive linear potentials appeared in Physica D: Nonlinear Phenomena volume 184, 1 October 2003, pages 226-236. This was a special issue on Complexity and Nonlinearity in Physical Systems to Honor Alan Newell. Yes, there is a preprint available.
• There are also rather disorganized collections of older papers and slideshows for talks.

Other Links

• The Math Department's home page (note the changed URL).
• The Math Department's Faculty List
• The College's Home Page
• The Society for Industrial and Applied Mathematics (SIAM).
• The SIAM South-Eastern Atlantic Section (SIAM-SEAS).
• The SIAM-SEAS 2008 Conference
• A recipe for scones
• For more recipes and some photographs, visit my new personal (non-work) home page.

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