Research Interests:
Ocean Dynamics and Modeling
Acrtic Ocean Dynamics
Fluid Dynamics with Rotation and Stratification , Quasi-geostrophy
Parallel-in-time numerical methods
Multiscale Methods
Reduced models such as the LANS-alpha model and GLM
Numerical Algorithms & Mathematics
Applied Mathematics
Philosophy of Science

Selected Publications:

``Time stepping the rotating shallow water equations on the sphere", In preparation for Journal of Computational Physics (2013)

``The separation of three distinct time scales in the rotating, stratified Boussinesq equation." In preparation for Communications in Mathematical Physics (2013)

``Quantifying the three primary asymptotic limits of the stratified, rotating Boussinesq equations" In preparation for Journal of Fluid Mechanics Whitehead, J. P. & Wingate, B. A. (2013a)

``Transitions between asymptotic states of strong stratication and/or rotation in the Boussinesq equations" In preparation for Journal of Fluid Mechanics Whitehead, J. P. & Wingate, B. A. (2013b)

``An asymptotic-parallel-in-time method for time-scale separted partial differential equations," Herry Haut and B.A. Wingate, submitted to SIAM Journal of Scientific Computing, 2012

``Approaching the limit of fast rotation for the rotating and stratified Boussinesq equations", J.P. Whitehead, B.A. Wingate, submitted to Journal of Fluid Mechanics, (2012)

``Low Rossby limiting dynamics for stably stratified flow with finite Froude number'', Beth Wingate, Pedro Embid, Miranda Holmes-Cerfon, Mark Taylor, Journal of Fluid Mechanics676 p. 546-571 (2011)

``Nonhydrostatic Effects in Rotating and Stratified Flow'', Nicole Jeffery and Beth Wingate, Journal of Physical Oceanography 39 12 p.3147 (2009)

``Anisotropic small-scale constraints on energy in rapidly rotating and stratified turbulence'', Susan Kurien, Beth Wingate, Mark Taylor, Europhys. Lett. 84 p. 24003 (2008)

``The LANS-alpha and Leray turbulence parameterizations in primitive equation ocean modeling'', Matthew W. Hecht, D. D. Holm, M. R. Petersen, and B. A. Wingate, Journal of Physics A 34 (2008)

``Performance of Numerically computed quadrature points'', Mark A. Taylor and Beth A. Wingate, Applied Numerical Mathematics 58 pp 1030-1041 ( (2008)

``Implementation of the LANS-alpha turbulence model in a primitive equation ocean model'', Matthew Hecht, Darryl Holm, Mark Petersen, Beth Wingate, Journal of Computational Physics 227, pp 5691-5716 (2008)

``Lateral Mixing in the Eddying Regime and a New Broad-Ranging Formulation'', Matthew Hecht, Elizabeth Hunke, Matthew Maltrud, Mark Petersen, Beth Wingate, pp 339-352, in Eddy Resolving Ocean Modeling, AGU, Hecht and Hasumi, eds. (2008)

``Efficient form of the LANS-alpha turbulence model in a primitive-equation ocean model'', Mark Petersen, Matthew W. Hecht, Beth A. Wingate, Journal of Computational Physics 227, pp 5717-5735 (2008)

``Measuring the characteristic length scales of prolate spheroidal wave functions in one and two dimensions'', Beth A. Wingate and Mark A. Taylor, Journal of Engineering Mathematics 56 pp 237-245, (2007)

``A generalization of prolate spheroidal functions with more uniform resolution to the triangle'', Mark A. Taylor and Beth A. Wingate, Journal of Engineering Mathematics 56 pp 221-235 (2007)

``A cardinal function algorithm for computing Multivariate quadrature points'', Mark A. Taylor Beth A. Wingate, Len P. Bos SIAM Journal on Numerical Analysis 45 1, pp 193-205, (2007)

``On the two-point correlation of potential vorticity in rotating and stratified flow'', Susan Kurien, Leslie Smith, Beth Wingate, Journal of Fluid Mechanics 555 pp 131-140, (2006)