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 asymptoticparallelintime method for timescale 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 HolmesCerfon, Mark Taylor, Journal of Fluid Mechanics676 p. 546571 (2011)
``Nonhydrostatic Effects in Rotating and Stratified Flow'', Nicole Jeffery and Beth Wingate, Journal of Physical Oceanography 39 12 p.3147 (2009)
``Anisotropic smallscale constraints on energy in rapidly rotating and stratified turbulence'',
Susan Kurien, Beth Wingate, Mark Taylor, Europhys. Lett. 84 p. 24003 (2008)
``The LANSalpha 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 10301041 ( (2008)
``Implementation of the LANSalpha turbulence model in a primitive equation ocean model'',
Matthew Hecht, Darryl Holm, Mark Petersen, Beth Wingate, Journal of Computational Physics 227, pp 56915716 (2008)
``Lateral Mixing in the Eddying Regime and a New BroadRanging Formulation'', Matthew Hecht, Elizabeth Hunke, Matthew Maltrud, Mark Petersen, Beth Wingate, pp 339352, in Eddy Resolving Ocean Modeling, AGU,
Hecht and Hasumi, eds. (2008)
``Efficient form of the LANSalpha turbulence model in a primitiveequation ocean model'',
Mark Petersen, Matthew W. Hecht, Beth A. Wingate, Journal of Computational Physics 227, pp 57175735 (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 237245, (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 221235 (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 193205, (2007)
``On the twopoint correlation of potential vorticity in rotating and stratified flow'', Susan Kurien, Leslie Smith, Beth Wingate, Journal of Fluid Mechanics 555 pp 131140, (2006)

