Overview

See my Personal Web Pages which include topics for postdocs and students.

Research Interests

Geophysical and Astrophysical Fluid Dynamics
Applied Mathematics and Modeling
Numerical Analysis
Ocean and Atmosphere Dynamics and Modeling

Biography

Beth Wingate is a Professor of Mathematics at the University of Exeter. Her research interests are mainly in fluid mechanics, mathematics,  and numerics for high performance computing. Her recent research is focused on physics of the Arctic Ocean, Aymptotic Parallel-in-Time methods for climate modeling and High Performance Computing, and the fluid mechanics of the slow/fast manifolds.

She did her PhD work at the University of Michigan studying numerics, waves and ocean fluid dynamics. She has developed and used spectral element methods including the investigation of near optimal interpolation on triangles with Mark Taylor. She spent many years at the Los Alamos National Laboratory in New Mexico, USA. While there she studied such topics as the LANS-alpha model and overflows.  She and her collaborators derived new equations for wave-mean flow in the weak stratification and fast rotation limit which has lead to new ideas such as novel investigations of fluctuations from the slow manifold (with Jared Whitehead and Paul Burns) and an asymptotic parallel-in-time method for highly oscillatory PDEs (with Terry Haut and Adam Peddle). She also co-supervises 2 PhD students: Alex Owen (with Roger Grimshaw) and Georgina Long (with Mike Bell of the UK Met Office).

She has published poetry in literary journals such as the Cafe Luna Review, Iowa Review, Prairie Schooner, Natural Bridge, and others. Her work has also appeared in anthologies such as "Looking Back to Place" published by Old School Books.

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Publications

_{Copyright Notice: Any articles made available for download are for personal use only. Any other use requires prior permission of the author and the copyright holder.}

| 2023 | 2022 | 2021 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2001 | 2000 |

2023

• Yamazaki H, Cotter CJ, Wingate BA. (2023) Time-parallel integration and phase averaging for the nonlinear shallow-water equations on the sphere, QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY, volume 149, no. 755, pages 2504-2513, DOI:10.1002/qj.4517. [PDF]

2022

• Bauer W, Cotter CJ, Wingate B. (2022) Higher order phase averaging for highly oscillatory systems, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, volume 1, pages 1-2. [PDF]

2021

• Yamazaki H, Cotter CJ, Wingate B. (2021) Time parallel integration and phase averaging for the nonlinear shallow water equations on the sphere. [PDF]

2019

• Owen A. (2019) Resonant effects in weakly nonlinear geophysical fluid dynamics.
• Owen A, Grimshaw R, Wingate B. (2019) Quartet, higher order and near resonant interactions in nonlinear wave equations. [PDF]
• Wingate BA. (2019) n-dimensional Quadrature, Wiley StatsRef: Statistics Reference Online.
• Peddle A, Haut T, Wingate B. (2019) Parareal Convergence for Oscillatory PDEs with Finite Time-scale Separation, SIAM Journal on Scientific Computing, volume 41, pages A3476-A3497, DOI:10.1137/17M1131611. [PDF]

2018

• Owen A, Grimshaw R, Wingate B. (2018) Fast and slow resonant triads in the two-layer rotating shallow water equations, Journal of Fluid Mechanics, volume 850, pages 18-45, DOI:10.1017/jfm.2018.468.
• Whitehead JP, Haut T, Wingate B. (2018) The effect of two distinct fast time scales in the rotating stratified Boussinesq equations, Theoretical and Computational Fluid Dynamics.

2017

• Wingate BA. (2017) On the Love Affair between Computing and Maths, Mathematics Today.
• Adam Larios, Mark R Petersen, Edriss Titi, Wingate BA. (2017) A computational investigation of the finite-time blow-up of the 3D incompressible Euler equations based on the Voigt regularization, Journal of Theoretical and Computational Fluid Dyanamics, DOI:10.1007/s00162-017-0434-0.
• Schreiber M, Pedro Peixoto, Terry Haut, Wingate. (2017) Beyond spatial scalability limitations with a massively parallel method for linear oscillatory problems, International Journal of High Performance Computing Applications.

2016

• Schreiber M, Peddle A, Haut T, Wingate B. (2016) A Decentralized Parallelization-in-Time Approach with Parareal. [PDF]

2015

• Haut T, Babb T, Martinnson G, Wingate B. (2015) A high-order scheme for solving wave propagation problems via the direct construction of an approximate time-evolution operator, IMA Journal of Numerical Analysis, DOI:10.1093/imanum/drv021.

2014

• Whitehead J, Wingate B. (2014) The influence of fast waves and fluctuations on the evolution of the slow manifold, Journal of Fluid Mechanics, volume 757, pages 155-178, DOI:10.1017/jfm.2014.467. [PDF]
• Haut T, Wingate B. (2014) An asymptotic parallel-in-time method for highly oscillatory PDEs, SIAM Journal of Scientific Computing, volume 36, no. 2, pages A693-A713, DOI:10.1137/130914577. [PDF]

2013

• Kurien S, Wingate B, Taylor M. (2013) Anisotropic small-scale constraints on energy in rotating stratified turbulence. [PDF]

2012

• Whitehead JP, Wingate BA. (2012) Spontaneous Formation of Columnar Vortices. [PDF]

2011

• Wingate BA, Embid P, Holmes-Cerfon M, Taylor MA. (2011) Low Rossby limiting dynamics for stably stratified flow with finite Froude number, Journal of Fluid Mechanics, volume 676, pages 546-571, DOI:10.1017/jfm.2011.69.

2009

• Jeffery N, Wingate B. (2009) The effect of tilted rotation on shear instabilities at low stratifications, Journal of Physical Oceanography, volume 39, no. 12, pages 3147-3161, DOI:10.1175/2009JPO4138.1.

2008

• Hecht MW, Petersen MR, Wingate BA, Hunke E, Maltrud M. (2008) Lateral mixing in the eddying regime and a new broad-ranging formulation, Geophysical Monograph Series, 339-352, DOI:10.1029/177GM020.
• Hecht MW, Hunke E, Maltrud M, Petersen M, Wingate B. (2008) Lateral Mixing in the Eddying Regime and a New Broad-ranging formulation, Eddy Resolving Ocean Modeling.
• Petersen MR, Hecht MW, Wingate BA. (2008) Efficient form of the LANS-α turbulence model in a primitive-equation ocean model, Journal of Computational Physics, volume 227, no. 11, pages 5717-5735, DOI:10.1016/j.jcp.2008.02.017.
• Wingate BA, Taylor MA. (2008) Performance of numerically computed quadrature points, Applied Numerical Mathematics, volume 58, no. 7, pages 1030-1041, DOI:10.1016/j.apnum.2007.04.006.
• Hecht MW, Holm DD, Petersen MR, Wingate BA. (2008) The LANS-α and Leray turbulence parameterizations in primitive equation ocean modeling, Journal of Physics A: Mathematical and Theoretical, volume 41, no. 34, DOI:10.1088/1751-8113/41/34/344009.
• Kurien S, Wingate B, Taylor MA. (2008) Anisotropic constraints on energy distribution in rotating and stratified turbulence, EPL, volume 84, no. 2, DOI:10.1209/0295-5075/84/24003.
• Hecht MW, Holm DD, Petersen MR, Wingate BA. (2008) Implementation of the LANS-α turbulence model in a primitive equation ocean model, Journal of Computational Physics, volume 227, no. 11, pages 5691-5716, DOI:10.1016/j.jcp.2008.02.018.

2007

• Taylor MA, Wingate BA, Bos LP. (2007) A cardinal function algorithm for computing multivariate quadrature points, SIAM Journal on Numerical Analysis, volume 45, no. 1, pages 193-205, DOI:10.1137/050625801.
• Taylor MA, Wingate BA, Bos LP. (2007) Several new quadrature formulas for polynomial integration in the triangle. [PDF]

2006

• Wingate BA, Taylor MA. (2006) Measuring characteristic length scales of eigenfunctions of Sturm-Liouville equations in one and two dimensions, Journal of Engineering Mathematics, volume 56, no. 3, pages 237-245, DOI:10.1007/s10665-006-9077-7.
• Taylor MA, Wingate BA. (2006) A generalization of prolate spheroidal functions with more uniform resolution to the triangle, Journal of Engineering Mathematics, volume 56, no. 3, pages 221-235, DOI:10.1007/s10665-006-9080-z.
• Kurien S, Smith L, Wingate B. (2006) On the two-point correlation of potential vorticity in rotating and stratified turbulence, JOURNAL OF FLUID MECHANICS, volume 555, pages 131-140, DOI:10.1017/S0022112006009116. [PDF]

2005

• Holm DD, Jeffery C, Kurien SK, Livescu D, Taylor MA, Wingate B. (2005) LANS-alpha model for computing turbulence: origins, results, and open problems, LA Science, volume 29.
• Holm DD, Wingate BA. (2005) Baroclinic instabilities of the two-layer quasigeostrophic alpha model, Journal of Physical Oceanography, volume 35, no. 7, pages 1287-1296, DOI:10.1175/JPO2741.1.

2004

• Wingate BA. (2004) The maximum allowable time step for the shallow water α model and its relation to time-implicit differencing, Monthly Weather Review, volume 132, no. 12, pages 2719-2731, DOI:10.1175/MWR2816.1.

2003

• Holm DD, Putkaradze V, Weidman PD, Wingate BA. (2003) Boundary effects on exact solutions of the Lagrangian-averaged Navier-Stokes-α equations, Journal of Statistical Physics, volume 113, no. 5-6, pages 841-854, DOI:10.1023/a:1027364720090.

2001

• Komatitsch D, Martin R, Tromp J, Taylor MA, Wingate BA. (2001) Wave propagation in 2-D elastic media using a spectral element method with triangles and quadrangles, Journal of Computational Acoustics, volume 9, no. 2, pages 703-718, DOI:10.1142/S0218396X01000796.
• Bos L, Taylor MA, Wingate BA. (2001) Tensor product Gauss-Lobatto points are Fekete points for the cube, Mathematics of Computation, volume 70, no. 236, pages 1543-1547, DOI:10.1090/S0025-5718-00-01262-X.
• Taylor MA, Wingate BA, Vincent RE. (2001) An algorithm for computing Fekete points in the triangle, SIAM Journal on Numerical Analysis, volume 38, no. 5, pages 1707-1720, DOI:10.1137/S0036142998337247.

2000

• Taylor MA, Wingate BA. (2000) A generalized diagonal mass matrix spectral element method for non-quadrilateral elements, APPLIED NUMERICAL MATHEMATICS, volume 33, no. 1-4, pages 259-265, DOI:10.1016/S0168-9274(99)00091-4. [PDF]
• Hecht MW, Wingate BA, Kassis P. (2000) A better, more discriminating test problem for ocean tracer transport, Ocean Modelling, volume 2, no. 1-2, pages 1-15, DOI:10.1016/s1463-5003(00)00004-4.
• Taylor MA, Wingate BA. (2000) Generalized diagonal mass matrix spectral element method for non-quadrilateral elements, Applied Numerical Mathematics, volume 33, no. 1, pages 259-265, DOI:10.1016/S0168-9274(99)00091-4.

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