William J. Layton

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

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2022

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

Victor DeCaria, Sigal Gottlieb, Zachary J. Grant, William J. Layton

J. Comput. Phys., 2022

Conditioning of linear systems arising from penalty methods.

William J. Layton, Shuxian Xu

CoRR, 2022

Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna.

William J. Layton, Wenlong Pei, Catalin Trenchea

Appl. Math. Lett., 2022

2021

A Variable Stepsize, Variable Order Family of Low Complexity.

Victor DeCaria, Ahmet Guzel, William J. Layton, Yi Li

SIAM J. Sci. Comput., 2021

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

William J. Layton, Shuxian Xu

CoRR, 2021

Clipping over dissipation in turbulence models.

Kiera Kean, William J. Layton, Michael Schneier

CoRR, 2021

On the Prandtl-Kolmogorov 1-equation model of turbulence.

Kiera Kean, William J. Layton, Michael Schneier

CoRR, 2021

2020

An Artificial Compression Reduced Order Model.

Victor DeCaria, Traian Iliescu, William J. Layton, Michael McLaughlin, Michael Schneier

SIAM J. Numer. Anal., 2020

Doubly-adaptive artificial compression methods for incompressible flow.

William J. Layton, Michael McLaughlin

J. Num. Math., 2020

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

William J. Layton, Wenlong Pei, Yi Qin, Catalin Trenchea

CoRR, 2020

2019

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

William J. Layton, Michael Schneier

CoRR, 2019

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

William J. Layton, Michael McLaughlin

CoRR, 2019

2018

Numerical Analysis of an Artificial Compression Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers.

Yao Rong, William J. Layton, Haiyun Zhao

J. Sci. Comput., 2018

2016

Recent developments in IMEX methods with time filters for systems of evolution equations.

William J. Layton, Yong Li, Catalin Trenchea

J. Comput. Appl. Math., 2016

Algorithms and models for turbulence not at statistical equilibrium.

Nan Jiang, William J. Layton

Comput. Math. Appl., 2016

Energy dissipation in the Smagorinsky model of turbulence.

William J. Layton

Appl. Math. Lett., 2016

2015

A Crank-Nicolson Leapfrog stabilization: Unconditional stability and two applications.

Nan Jiang, Michaela Kubacki, William J. Layton, Marina Moraiti, Hoang Tran

J. Comput. Appl. Math., 2015

Analysis of Model Variance for Ensemble Based Turbulence Modeling.

Nan Jiang, Songul Kaya, William J. Layton

Comput. Methods Appl. Math., 2015

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

Vincent J. Ervin, Michaela Kubacki, William J. Layton, Marina Moraiti, Zhiyong Si, Catalin Trenchea

Axioms, 2015

2013

GRACE: A Visual Comparison Framework for Integrated Spatial and Non-Spatial Geriatric Data.

Adrian Maries, Nathan Mays, MeganOlson Hunt, Kim F. Wong, William J. Layton, Robert Boudreau, Caterina Rosano, G. Elisabeta Marai

IEEE Trans. Vis. Comput. Graph., 2013

Analysis of Long Time Stability and Errors of Two Partitioned Methods for Uncoupling Evolutionary Groundwater-Surface Water Flows.

William J. Layton, Hoang Tran, Catalin Trenchea

SIAM J. Numer. Anal., 2013

2012

Numerical Analysis of Filter-Based Stabilization for Evolution Equations.

Vincent J. Ervin, William J. Layton, Monika Neda

SIAM J. Numer. Anal., 2012

Decoupled Time Stepping Methods for Fluid-Fluid Interaction.

Jeffrey M. Connors, Jason S. Howell, William J. Layton

SIAM J. Numer. Anal., 2012

Long time stability of four methods for splitting the evolutionary Stokes-Darcy problem into Stokes and Darcy subproblems.

William J. Layton, Hoang Tran, Xin Xiong

J. Comput. Appl. Math., 2012

2011

The Das-Moser commutator closure for filtering through a boundary is well-posed.

William J. Layton, Catalin Trenchea

Math. Comput. Model., 2011

On Taylor/Eddy solutions of approximate deconvolution models of turbulence.

William J. Layton

Appl. Math. Lett., 2011

2010

On the accuracy of the finite element method plus time relaxation.

J. Connors, William J. Layton

Math. Comput., 2010

Temporally regularized direct numerical simulation.

William J. Layton, C. David Pruett, Leo G. Rebholz

Appl. Math. Comput., 2010

2009

Partitioned Time Stepping for a Parabolic Two Domain Problem.

Jeffrey M. Connors, Jason S. Howell, William J. Layton

SIAM J. Numer. Anal., 2009

On the accuracy of the rotation form in simulations of the Navier-Stokes equations.

William J. Layton, Carolina C. Manica, Monika Neda, Maxim A. Olshanskii, Leo G. Rebholz

J. Comput. Phys., 2009

Chebychev optimized approximate deconvolution models of turbulence.

William J. Layton, Iuliana Stanculescu

Appl. Math. Comput., 2009

2007

Sensitivities in Large Eddy Simulation and Improved Estimates of Turbulent Flow Functionals.

Mihai Anitescu, William J. Layton

SIAM J. Sci. Comput., 2007

Convergence of Time-Averaged Statistics of Finite Element Approximations of the Navier-Stokes Equations.

Volker John, William J. Layton, Carolina C. Manica

SIAM J. Numer. Anal., 2007

Bounds on Energy and Helicity Dissipation Rates of Approximate Deconvolution Models of Turbulence.

William J. Layton

SIAM J. Math. Anal., 2007

K-41 optimised approximate deconvolution models.

William J. Layton, Iuliana Stanculescu

Int. J. Comput. Sci. Math., 2007

2006

Subgrid Stabilized Defect Correction Methods for the Navier-Stokes Equations.

Songul Kaya, William J. Layton, Beatrice Riviere

SIAM J. Numer. Anal., 2006

2005

Model reduction by constraints, discretization of flow problems and an induced pressure stabilization.

William J. Layton

Numer. Linear Algebra Appl., 2005

2003

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

William J. Layton, Roger Lewandowski

Appl. Math. Lett., 2003

2002

Coupling Fluid Flow with Porous Media Flow.

William J. Layton, Friedhelm Schieweck, Ivan Yotov

SIAM J. Numer. Anal., 2002

Analysis of Numerical Errors in Large Eddy Simulation.

Volker John, William J. Layton

SIAM J. Numer. Anal., 2002

A defect-correction method for the incompressible Navier-Stokes equations.

William J. Layton, H. K. Lee, J. Peterson

Appl. Math. Comput., 2002

A connection between subgrid scale eddy viscosity and mixed methods.

William J. Layton

Appl. Math. Comput., 2002

2001

Approximating Local Averages of Fluid Velocities: The Stokes Problem.

Volker John, William J. Layton

Computing, 2001

2000

Adaptive Defect-Correction Methods for Viscous Incompressible Flow Problems.

Vincent J. Ervin, William J. Layton, Joseph M. Maubach

SIAM J. Numer. Anal., 2000

1998

Robustness of an Elementwise Parallel Finite Element Method for Convection-Diffusion Problems.

William J. Layton, Joseph M. Maubach, Patrick J. Rabier

SIAM J. Sci. Comput., 1998

Numerical Solution of the Stationary Navier-Stokes Equations Using a Multilevel Finite Element Method.

William J. Layton, H. K. Lee, J. Peterson

SIAM J. Sci. Comput., 1998

1996

Oscillation Absorption Finite Element Methods for Convection-Diffusion Problems.

William J. Layton, Ben Polman

SIAM J. Sci. Comput., 1996

A Nonlinear, Subgridscale Model for Incompressible viscous Flow Problems.

William J. Layton

SIAM J. Sci. Comput., 1996

1995

Peaceman - Rachford procedure and domain decomposition for finite element problems.

William J. Layton, Patrick J. Rabier

Numer. Linear Algebra Appl., 1995