Brenton LeMesurier
Professor
Education
Ph.D. in Mathematics, New York University
M.S. in Mathematics, New York University
B.S. in Pure Mathematics, Australian National University
Research Interest
Numerical and analytical studies of nonlinear differential equations modeling wave propagation and energy transfer in large molecules and optical waveguide arrays. Conservative time discretization methods for Hamiltonian systems of equations.
Courses Taught
- MATH 116: Calculus for Business and Social Sciences
- MATH 120: Introductory Calculus
- MATH 220: Calculus II
- MATH 221: Calculus III
- MATH 445/545: Numerical Analysis
Select Publications
Continuim approximations form pulses generated by impulsive initial data in binary exciton chain systems. Discrete & Continuous Dynamical Systems-Series B 21.6, 2016.
Energetic pulses in exciton-phonon molecular chains and conservative numerical methods for quasilinear hamiltonian systems. Phys. Rev. E 88(3):032707, 2013.
Conservative unconditionally stable discretization methods for Hamiltonian equations, applied to wave motion in lattice equations modeling protein molecules. Physica D 241(1):1–10, January 2012. (Published online 1 Oct).