Nathaniel Barlow

2023 Submissions

Journal Paper

Naghshineh, Nastaran, et al. "On the use of asymptotically motivated gauge functions to obtain convergent series solutions to nonlinear ODEs." IMA Journal of Applied Mathematics 88. 1 (2023): 43-66. Print. *

Naghshineh, Nastaran, et al. "Asymptotically consistent analytical solutions for the non-Newtonian Sakiadis boundary layer." Physics of Fluids 35. 53103 (2023): 1-15. Print. *

2022 Submissions

Journal Paper

Huber, Colin M., Nathaniel S. Barlow, and Steven J. Weinstein. "On the response of neutrally stable flows to oscillatory forcing with application to liquid sheets." Physics of Fluids 34. (2022): 104106: 1-20. Print. *

Reinberger, W. Cade, et al. "On The Power Series Solution to The Nonlinear Pendulum." The Quarterly Journal of Mechanics and Applied Mathematics 75. 4 (2022): 347–369. Print. *

Huber, Colin M., Nathaniel S. Barlow, and Steven J. Weinstein. "On the two-dimensional extension of one-dimensional algebraically growing waves at neutral stability." Wave Motion 116. (2022): 103083:1-20. Print. *

2021 Submissions

Journal Paper

Rame, Enriquie, Nathaniel S. Barlow, and Steven J. Weinstein. "On the shape of air–liquid interfaces with surface tension that bound rigidly rotating liquids in partially filled containers." IMA Journal of Applied Mathematics 86. (2021): 1266-1286. Print. *

Torsey, Bridget M., et al. "The effect of pressure fluctuations on the shapes of thinning liquid curtains." Journal of Fluid Mechanics 910. (2021): A28:1-15. Print. *

2020 Submissions

Journal Paper

Barlow, Nathaniel S. and Steven J. Weinstein. "Accurate Closed-form Solution of the SIR Epidemic Model." Physica D: Nonlinear Phenomena 408. (2020): 1-4. Print. ∆

Weinstein, Steven J., et al. "Analytic Solution of the SEIR Epidemic Model via Asymptotic Approximant." Physica D: Nonlinear Phenomena 411. (2020): 132633:1-6. Print. *

Huber, Colin, et al. "On the stability of waves in classically neutral flows." IMA Journal of Applied Mathematics 85. 2 (2020): 309-340. Print. *

Belden, Elizabeth R., et al. "Asymptotic Approximant for the Falkner–Skan Boundary Layer Equation." The Quarterly Journal of Mechanics and Applied Mathematics 73. 1 (2020): 36-50. Print. *

2019 Submissions

Journal Paper

Weinstein, Steven J., et al. "On Oblique Liquid Curtains." Journal of Fluid Mechanics 876. R3 (2019): 1-9. Print. *

2018 Submissions

Journal Paper

Beachley, Ryne J., et al. "Accurate Closed-form Trajectories of Light Around a Kerr Black Hole Using Asymptotic Approximants." Class. Quantum Grav. 35. 205009 (2018): 1-28. Print. *

2017 Submissions

Journal Paper

Barlow, Nathaniel S., et al. "On the Summation of Divergent, Truncated, and Underspecified Power Series via Asymptotic Approximants." Quarterly Journal of Mechanics and Applied Math 70. 1 (2017): 21-48. Print. *

Barlow, Nathaniel S., Steven J. Weinstein, and Joshua A. Faber. "An asymptotically consistent approximant for the equatorial bending angle of light due to Kerr black holes." Class. Quantum Grav. 34. 135017 (2017): 1-16. Print. *

2016 Submissions

Journal Paper

Helenbrook, Brian T. and Nathaniel S. Barlow. "Spatial—temporal Stability Analysis of Faceted Growth with Application to Horizontal Ribbon Growth." Journal of Crystal Growth 454. (2016): 35-44. Print. *

King, Kristina R., et al. "Stability of Algebraically Unstable Dispersive Flows." Physical Review Fluids 1. 7 (2016): 073604:1-19. Web. *

2015 Submissions

Journal Paper

Barlow, Nathaniel S., et al. "Communication: Analytic continuation of the virial series through the critical point using parametric approximants." Journal of Chemical Physics 143. (2015): 071103 (1-5). Print. *

Barlow, Nathaniel S., Brian T. Helenbrook, and Steven J. Weinstein. "Algorithm for Spatio-temporal Analysis of the Signalling Problem." IMA Journal of Applied Mathematics 82. 1 (2017): 1-82. Print. *

2014 Submissions

Journal Paper

Barlow, Nathaniel S., et al. "Critical Isotherms from Virial Series Using Asymptotically Consistent Approximants." AIChE Journal 60. 9 (2014): 3336-3349. Print. *