William J. Layton

  • University of Pittsburgh, Pittsburgh, PA, USA

According to our database1, William J. Layton authored at least 49 papers between 1995 and 2022.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.



In proceedings 
PhD thesis 


Online presence:

On csauthors.net:


A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD.
J. Comput. Phys., 2022

Conditioning of linear systems arising from penalty methods.
CoRR, 2022

Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna.
Appl. Math. Lett., 2022

A Variable Stepsize, Variable Order Family of Low Complexity.
SIAM J. Sci. Comput., 2021

Unconditional stability in 3d of a sparse grad-div approximation of the Navier-Stokes equations.
CoRR, 2021

Clipping over dissipation in turbulence models.
CoRR, 2021

On the Prandtl-Kolmogorov 1-equation model of turbulence.
CoRR, 2021

An Artificial Compression Reduced Order Model.
SIAM J. Numer. Anal., 2020

Doubly-adaptive artificial compression methods for incompressible flow.
J. Num. Math., 2020

Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow.
CoRR, 2020

Diagnostics for Eddy Viscosity Models of Turbulence Including Data-Driven/Neural Network Based Parameterizations.
CoRR, 2019

On URANS Congruity with Time Averaging: Analytical laws suggest improved models.
CoRR, 2019

Numerical Analysis of an Artificial Compression Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers.
J. Sci. Comput., 2018

Recent developments in IMEX methods with time filters for systems of evolution equations.
J. Comput. Appl. Math., 2016

Algorithms and models for turbulence not at statistical equilibrium.
Comput. Math. Appl., 2016

Energy dissipation in the Smagorinsky model of turbulence.
Appl. Math. Lett., 2016

A Crank-Nicolson Leapfrog stabilization: Unconditional stability and two applications.
J. Comput. Appl. Math., 2015

Analysis of Model Variance for Ensemble Based Turbulence Modeling.
Comput. Methods Appl. Math., 2015

On Limiting Behavior of Contaminant Transport Models in Coupled Surface and Groundwater Flows.
Axioms, 2015

GRACE: A Visual Comparison Framework for Integrated Spatial and Non-Spatial Geriatric Data.
IEEE Trans. Vis. Comput. Graph., 2013

Analysis of Long Time Stability and Errors of Two Partitioned Methods for Uncoupling Evolutionary Groundwater-Surface Water Flows.
SIAM J. Numer. Anal., 2013

Numerical Analysis of Filter-Based Stabilization for Evolution Equations.
SIAM J. Numer. Anal., 2012

Decoupled Time Stepping Methods for Fluid-Fluid Interaction.
SIAM J. Numer. Anal., 2012

Long time stability of four methods for splitting the evolutionary Stokes-Darcy problem into Stokes and Darcy subproblems.
J. Comput. Appl. Math., 2012

The Das-Moser commutator closure for filtering through a boundary is well-posed.
Math. Comput. Model., 2011

On Taylor/Eddy solutions of approximate deconvolution models of turbulence.
Appl. Math. Lett., 2011

On the accuracy of the finite element method plus time relaxation.
Math. Comput., 2010

Temporally regularized direct numerical simulation.
Appl. Math. Comput., 2010

Partitioned Time Stepping for a Parabolic Two Domain Problem.
SIAM J. Numer. Anal., 2009

On the accuracy of the rotation form in simulations of the Navier-Stokes equations.
J. Comput. Phys., 2009

Chebychev optimized approximate deconvolution models of turbulence.
Appl. Math. Comput., 2009

Sensitivities in Large Eddy Simulation and Improved Estimates of Turbulent Flow Functionals.
SIAM J. Sci. Comput., 2007

Convergence of Time-Averaged Statistics of Finite Element Approximations of the Navier-Stokes Equations.
SIAM J. Numer. Anal., 2007

Bounds on Energy and Helicity Dissipation Rates of Approximate Deconvolution Models of Turbulence.
SIAM J. Math. Anal., 2007

K-41 optimised approximate deconvolution models.
Int. J. Comput. Sci. Math., 2007

Subgrid Stabilized Defect Correction Methods for the Navier-Stokes Equations.
SIAM J. Numer. Anal., 2006

Model reduction by constraints, discretization of flow problems and an induced pressure stabilization.
Numer. Linear Algebra Appl., 2005

A simple and stable scale-similarity model for large Eddy simulation: Energy balance and existence of weak solutions.
Appl. Math. Lett., 2003

Coupling Fluid Flow with Porous Media Flow.
SIAM J. Numer. Anal., 2002

Analysis of Numerical Errors in Large Eddy Simulation.
SIAM J. Numer. Anal., 2002

A defect-correction method for the incompressible Navier-Stokes equations.
Appl. Math. Comput., 2002

A connection between subgrid scale eddy viscosity and mixed methods.
Appl. Math. Comput., 2002

Approximating Local Averages of Fluid Velocities: The Stokes Problem.
Computing, 2001

Adaptive Defect-Correction Methods for Viscous Incompressible Flow Problems.
SIAM J. Numer. Anal., 2000

Robustness of an Elementwise Parallel Finite Element Method for Convection-Diffusion Problems.
SIAM J. Sci. Comput., 1998

Numerical Solution of the Stationary Navier-Stokes Equations Using a Multilevel Finite Element Method.
SIAM J. Sci. Comput., 1998

Oscillation Absorption Finite Element Methods for Convection-Diffusion Problems.
SIAM J. Sci. Comput., 1996

A Nonlinear, Subgridscale Model for Incompressible viscous Flow Problems.
SIAM J. Sci. Comput., 1996

Peaceman - Rachford procedure and domain decomposition for finite element problems.
Numer. Linear Algebra Appl., 1995