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Prof Beth Wingate

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.

Showing 42 publications from Symplectic.