Nathaniel Barlow Headshot

Nathaniel Barlow

Associate Professor

School of Mathematics and Statistics
College of Science
Undergraduate Program Coordinator, Applied and Computational Mathematics

585-475-4077
Office Hours
T: 12:30-1 & 3:30-4; W: 1:30-2:30
Office Location

Nathaniel Barlow

Associate Professor

School of Mathematics and Statistics
College of Science
Undergraduate Program Coordinator, Applied and Computational Mathematics

Education

BS, Ph.D., Clarkson University

Bio

Nate received his Ph.D. in 2009 from Clarkson University in Mechanical Engineering. His research background is in hydrodynamic stability analysis (particularly absolute/convective instability classification) and the long-time behavior of dispersive waves in fluids. From 2010-2014, Nate was an NSF CI-TraCS Postdoctoral Fellow, splitting his time between the Chemical Engineering Department and the Center for Computational Research at SUNY Buffalo. As a post-doc, Nate helped create the method of asymptotic approximants, a re-summation technique used to analytically continue truncated and/or divergent series. Since joining RIT, Nate has partnered with his long-time collaborator and co-creator of asymptotic approximants, Steve Weinstein, to build a research group of students and faculty with the goal of progressing efforts in asymptotic analysis in general.

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585-475-4077

Areas of Expertise

Select Scholarship

Journal Paper
Barlow, Nathaniel S., W. Cade Reinberger, and Steven J. Weinstein. "Exact and explicit analytical solution for the Sakiadis boundary layer." Physics of Fluids 36. 31703 (2024): 1-4. Web.
Naghshineh, Nastaran, et al. "The shape of an axisymmetric meniscus in a static liquid pool: effective implementation of the Euler transformation." IMA Journal of Applied Mathematics 88. 5 (2023): 735-764. Print.
Reinberger, W. Cade, et al. "Exact solution for heat transfer across the Sakiadis boundary layer." Physics of Fluids 36. 7 (2024): 073609:1-13. Print.
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Currently Teaching

MATH-199
1 Credits
This course provides an introduction to math and statistics software. The course provides practice in technical writing.
MATH-233
4 Credits
This is an introductory course in linear algebra and ordinary differential equations in which a scientific computing package is used to clarify mathematical concepts, visualize problems, and work with large systems. The course covers matrix algebra, the basic notions and techniques of ordinary differential equations with constant coefficients, and the physical situation in which they arise.
MATH-326
3 Credits
This course provides an introduction to boundary value problems. Topics include Fourier series, separation of variables, Laplace's equation, the heat equation, and the wave equation in Cartesian and polar coordinate systems.
MATH-495
1 - 3 Credits
This course is a faculty-directed project that could be considered original in nature. The level of work is appropriate for students in their final two years of undergraduate study.
MATH-501
0 Credits
The experimental learning requirement in the Applied Mathematics and Computational Mathematics programs can be accomplished in various ways. This course exists to record the completion of experiential learning activities. Such pre-approval is considered on a case-by-case basis.
MATH-790
0 - 9 Credits
Masters-level research by the candidate on an appropriate topic as arranged between the candidate and the research advisor.
MATH-799
1 - 3 Credits
Independent Study

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