Dedicated to Professor William Layton on the occasion of his 60th birthday

L. Berselli,  Weak solutions constructed by semi-discretization are suitable: the case of slip boundary conditions............................................................................................................479

J. Connors,  An ensemble-based conventional turbulence model for fluid-fluid interaction.....492

C. Corduneanu,  A glimpse on fourier analysis: third stage..................................................520

J. Fiordilino and S. Khankan,  Ensemble timestepping algorithms for natural convection.................524

D. Glotov, W. E. Hames, A. Meir and S. Ngoma,  An inverse diffusion coefficient problem for a parabolic equation with integral constraint........................................................552

P. Hoffman,  Hyperbolic PDEs across gasdynamics, plasticity, and granular plasticity....................564

H. Lee and S. Xu,  Numerical approximation on viscoelastic fluid-structure interaction problems...............579

T. Iliescu and H. Liu and X. Xie, Regularized reduced order models  for a stochastic burgers equation...........594

M. Gunzburger, N. Jiang and M. Schneier,  A higher-order ensemble/proper orthogonal decomposition method for the nonstationary Navier-Stokes equations......................608

I. Lyngaas and J. Peterson,  Using RBF-generated quadrature rules to solve nonlocal anomalous diffusion...........628

L. Rebholz, S. Wise and M. Xiao, Penalty-projection schemes for the Cahn-Hilliard Navier-Stokes diffuse interface model of two phase flow, and their connection to  divergence-free coupled schemes............................................. 649

V. John, S. Kaya and J. Novo,  Finite element error analysis of a mantle convection model....................................677

A. Takhirov, M. Neda, J. Waters,  Modular nonlinear filter based time relaxation scheme for high Reynolds number flows..........................................................................................699

Y. Li, C. Trenchea,  Existence and ergodicity for the two-dimensional stochastic Boussinesq equation.................715

M. Neilan and D. Sap,  Macro Stokes elements on quadrilaterals....................................729

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