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Lectures

Dr. Eleftherios Gkioulekas -- faculty web page

Other Good Stuff

Graduate Course Manuscripts

Notes based on grad school coursework and independent study.

E. Gkioulekas (1997): Complex Analysis
E. Gkioulekas (1997): Ordinary Differential Equations
E. Gkioulekas (1997): Numerical Analysis: Linear Algebra
E. Gkioulekas (1997): Numerical Analysis: Polynomials
E. Gkioulekas (1997): Numerical Analysis: Ordinary Differential Equations
E. Gkioulekas (1997): Numerical Analysis: Partial Differential Equations
E. Gkioulekas (1998): Spectral Methods: Introduction
E. Gkioulekas (1998): Spectral Methods: Fourier transform
E. Gkioulekas (1998): Spectral Methods: Fourier transform (implementation)
E. Gkioulekas (1998): Spectral Methods: Legendre transform
E. Gkioulekas (1998): Spectral Methods: Spherical harmonic transform
E. Gkioulekas (1998): Porous Media Flow

Turbulent Combustion Notes

E. Gkioulekas (1997): Combustion model
E. Gkioulekas (1997): Spectral Solver for Navier-Stokes
E. Gkioulekas (1997): Conditional moment closure model
E. Gkioulekas (1997): The SLFM model

Turbulence Manuscripts

Math stuff from when I started working on my own thesis topic on turbulence

E. Gkioulekas (1999): Turbulence as a dynamical system. I
E. Gkioulekas (1999): Turbulence as a dynamical system. II. 2d turbulence
E. Gkioulekas (2000): Random functions and turbulence. I
E. Gkioulekas (2000): Random functions and turbulence. II
E. Gkioulekas (2000): Fundamentals of incompressible turbulence

Unfinished projects

E. Gkioulekas (1998): Foundations of Mathematics
E. Gkioulekas (1998): Euclidean Geometry

Miscelleneous

Recursion Theory (gift from high-school teacher; author unknown)
Eugenia Cheng (2004): How to write proofs: a quick guide
Andrei Toom (1993): A Russian Teacher in America , Journal of Mathematical Behavior, 12 (2), 117-139.
New York Times article about "A Russian Teacher in America".