William Layton

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All published works
Action Title Year Authors
+ PDF Chat Numerical analysis of a 1/2-equation model of turbulence 2024 Wei-Wei Han
Rui Fang
William Layton
+ PDF Chat Adaptive Parameter Selection in Nudging Based Data Assimilation 2024 Aytekin Çıbık
Rui Fang
William Layton
Farjana Siddiqua
+ PDF Chat Numerical analysis of a 1/2-equation model of turbulence 2024 Weiwei Han
Rui Fang
William Layton
+ PDF Chat The Ramshaw-Mesina Hybrid Algorithm applied to the Navier Stokes Equations 2024 Aytekin Çıbık
Farjana Siddiqua
William Layton
+ PDF Chat Convergence of a Ramshaw-Mesina iteration 2024 Aytekin Çıbık
William Layton
+ PDF Chat Convergence of a Ramshaw-Mesina Iteration 2024 Aytekin Çıbık
William Layton
+ PDF Chat Numerical Analysis of a 1/2-Equation Model of Turbulence 2024 William Layton
Weiwei Han
Rui Fang
+ PDF Chat Adaptive Parameter Selection in Nudging Based Data Assimilation 2024 William Layton
Rui Fang
Farjana Siddiqua
Aytekin Çıbık
+ PDF Chat Time step adaptivity in the method of Dahlquist, Liniger and Nevanlinna 2023 William Layton
Wenlong Pei
Cătălin Trenchea
+ PDF Chat Conditioning of linear systems arising from penalty methods 2023 William Layton
Shuxian Xu
+ PDF Chat Time step adaptivity in the method of Dahlquist, Liniger and Nevanlinna 2023 William Layton
Wenlong Pei
Cătălin Trenchea
+ On a 1/2-equation model of turbulence 2023 Rui Fang
Weiwei Han
William Layton
+ PDF Chat Stability in 3d of a sparse grad-div approximation of the Navier-Stokes equations 2022 William Layton
Shuxian Xu
+ PDF Chat On the Prandtl–Kolmogorov 1-equation model of turbulence 2022 Kiera Kean
William Layton
Michael Schneier
+ PDF Chat A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD 2022 Victor DeCaria
Sigal Gottlieb
Zachary J. Grant
William Layton
+ Conditioning of linear systems arising from penalty methods 2022 William Layton
Shuxian Xu
+ PDF Chat Unconditional stability in 3d of a sparse grad-div approximation of the Navier-Stokes equations 2021 William Layton
Shuxian Xu
+ PDF Chat Unconditional stability in 3d of a sparse grad-div approximation of the Navier-Stokes equations 2021 William Layton
Shuxian Xu
+ PDF Chat Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna 2021 William Layton
Wenlong Pei
Cătălin Trenchea
+ PDF Chat Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow 2021 William Layton
Wenlong Pei
Yi Qin
Cătălin Trenchea
+ Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna 2021 William Layton
Wenlong Pei
Cătălin Trenchea
+ PDF Chat On the Prandtl-Kolmogorov 1-equation model of turbulence 2021 Kiera Kean
William Layton
Michael Schneier
+ A Variable Stepsize, Variable Order Family of Low Complexity 2021 Victor DeCaria
Ahmet Guzel
William Layton
Yi Li
+ Clipping over dissipation in turbulence models 2021 Kiera Kean
William Layton
Michael Schneier
+ Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna 2021 William Layton
Wenlong Pei
Cătălin Trenchea
+ Stability in 3d of a sparse grad-div approximation of the Navier-Stokes equations 2021 William Layton
Shuxian Xu
+ Diagnostics for eddy viscosity models of turbulence including data-driven/neural network based parameterizations 2020 William Layton
Michael Schneier
+ Adaptive partitioned methods for the time-accurate approximation of the evolutionary Stokes–Darcy system 2020 Yi Li
Yanren Hou
William Layton
Haiyun Zhao
+ Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow 2020 William Layton
Wenlong Pei
Yi Qin
Cătălin Trenchea
+ PDF Chat Doubly-adaptive artificial compression methods for incompressible flow 2020 William Layton
Michael McLaughlin
+ PDF Chat An Artificial Compression Reduced Order Model 2020 Victor DeCaria
Traian Iliescu
William Layton
Michael McLaughlin
Michael Schneier
+ PDF Chat On URANS Congruity with Time Averaging: Analytical Laws Suggest Improved Models 2020 William Layton
Michael McLaughlin
+ A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD 2020 Victor DeCaria
Sigal Gottlieb
Zachary J. Grant
William Layton
+ Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow 2020 William Layton
Wenlong Pei
Yi Qin
Cătălin Trenchea
+ On URANS Congruity with Time Averaging: Analytical laws suggest improved models 2019 William Layton
Michael McLaughlin
+ Doubly-Adaptive Artificial Compression Methods for Incompressible Flow 2019 William Layton
Michael McLaughlin
+ PDF Chat Analysis of Variable-Step/Non-autonomous Artificial Compression Methods 2019 Robin Ming Chen
William Layton
Michael McLaughlin
+ An Artificial Compression Reduced Order Model 2019 Victor DeCaria
Traian Iliescu
William Layton
Michael McLaughlin
Michael Schneier
+ On URANS Congruity with Time Averaging: Analytical laws suggest improved models 2019 William Layton
Mike J. McLaughlin
+ Doubly-Adaptive Artificial Compression Methods for Incompressible Flow 2019 William Layton
Mike J. McLaughlin
+ An Artificial Compression Reduced Order Model 2019 Victor DeCaria
Traian Iliescu
William Layton
Mike J. McLaughlin
Michael Schneier
+ Analysis of a low complexity, time-accurate discretization of the Navier-Stokes equations 2018 Victor DeCaria
William Layton
Haiyun Zhao
+ PDF Chat Partitioned penalty methods for the transport equation in the evolutionary Stokes–Darcy‐transport problem 2018 Vincent J. Ervin
Michaela Kubacki
William Layton
Marina Moraiti
Zhiyong Si
Cătălin Trenchea
+ On the determination of the grad-div criterion 2018 Victor DeCaria
William Layton
Ali Pakzad
Yao Rong
Niyazi Şahı̇n
Haiyun Zhao
+ PDF Chat An efficient and modular grad–div stabilization 2018 Joseph A. Fiordilino
William Layton
Yao Rong
+ Time filters increase accuracy of the fully implicit method 2018 Ahmet Guzel
William Layton
+ A time-accurate, adaptive discretization for fluid flow problems 2018 Victor DeCaria
William Layton
Haiyun Zhao
+ A new embedded variable stepsize, variable order family of low computational complexity 2018 Victor DeCaria
Ahmet Guzel
William Layton
Yi Li
+ Analysis of the effect of Time Filters on the implicit method: increased accuracy and improved stability 2017 Ahmet Guzel
William Layton
+ On the determination of the grad-div criterion 2017 Victor DeCaria
William Layton
Ali Pakzad
Yao Rong
Niyazi Şahı̇n
Haiyun Zhao
+ Analysis of the effect of Time Filters on the implicit method: increased accuracy and improved stability 2017 Ahmet H. Güzel
William Layton
+ PDF Chat Energy dissipation in the Smagorinsky model of turbulence 2016 William Layton
+ Energy Dissipation in the Smagorinsky Model of Turbulence 2016 William Layton
+ Energy Dissipation in the Smagorinsky Model of Turbulence 2016 William Layton
+ Algorithms and models for turbulence not at statistical equilibrium 2015 Nan Jiang
William Layton
+ PDF Chat On Limiting Behavior of Contaminant Transport Models in Coupled Surface and Groundwater Flows 2015 Vincent J. Ervin
Michaela Kubacki
William Layton
Marina Moraiti
Zhiyong Si
Cătălin Trenchea
+ Recent developments in IMEX methods with time filters for systems of evolution equations 2015 William Layton
Yong Li
Cătălin Trenchea
+ Analysis of partitioned methods for the <scp>B</scp>iot System 2015 Martina Bukač
William Layton
Marina Moraiti
Hoang Tran
Cătălin Trenchea
+ Algorithms and Models for Turbulence Not at Statistical Equilibrium 2015 Nan Jiang
William Layton
+ A Crank–Nicolson Leapfrog stabilization: Unconditional stability and two applications 2014 Nan Jiang
Michaela Kubacki
William Layton
Marina Moraiti
Hoang Tran
+ ENERGY STABILITY OF A FIRST ORDER PARTITIONED METHOD FOR SYSTEMS WITH GENERAL COUPLING 2013 William Layton
Aziz Takhirov
+ Long time stability of four methods for splitting the evolutionary Stokes–Darcy problem into Stokes and Darcy subproblems 2012 William Layton
Hoang Tran
Xin Xiong
+ Approximate Deconvolution Models of Turbulence: Analysis, Phenomenology and Numerical Analysis 2012 William Layton
Leo G. Rebholz
+ Decoupled Time Stepping Methods for Fluid-Fluid Interaction 2012 Jeffrey M. Connors
Jason S. Howell
William Layton
+ Approximate Deconvolution Models of Turbulence 2012 William Layton
Leo G. Rebholz
+ Stability of two IMEX methods, CNLF and BDF2-AB2, for uncoupling systems of evolution equations 2011 William Layton
Cătălin Trenchea
+ Theory of the NS-$\overline{\omega}$ model: A complement to the NS-$\alpha$ model 2011 William Layton
Iuliana Stanculescu
Cătălin Trenchea
+ Stability of the IMEX Methods, CNLF and BDF2-AB2, for Uncoupling Systems of Evolution Equations 2011 William Layton
Cătălin Trenchea
+ PDF Chat Numerical Analysis of Filter Based Stabilization for Evolution Equations 2010 Vincent J. Ervin
William Layton
Monika Neda
+ Existence of smooth attractors for the Navier–Stokes-omega model of turbulence 2009 William Layton
+ PDF Chat Partitioned Time Stepping for a Parabolic Two Domain Problem 2009 Jeffrey M. Connors
Jason S. Howell
William Layton
+ Chebychev optimized approximate deconvolution models of turbulence 2008 William Layton
Iuliana Stanculescu
+ Architecture of Approximate Deconvolution Models of Turbulence* 2008 A. Labovschii
William Layton
Carolina C. Manica
Monika Neda
Leo G. Rebholz
Iuliana Stanculescu
Cătălin Trenchea
+ Unconditional Stability for Numerical Scheme Combining Implicit Timestepping for Local Effects and Explicit Timestepping for Nonlocal Effects 2008 Mihai Anitescu
William Layton
Faranak Pahlevani
+ PDF Chat A HIGH ACCURACY LERAY-DECONVOLUTION MODEL OF TURBULENCE AND ITS LIMITING BEHAVIOR 2008 William Layton
Roger Lewandowski
+ PDF Chat A high accuracy Leray-deconvolution model of turbulence and its limiting behavior. 2008 William Layton
Roger Lewandowski
+ K-41 optimised approximate deconvolution models 2007 William Layton
Iuliana Stanculescu
+ Sensitivities in Large Eddy Simulation and Improved Estimates of Turbulent Flow Functionals 2007 Mihai Anitescu
William Layton
+ Truncation of scales by time relaxation 2006 William Layton
Monika Neda
+ PDF Chat A two-level variational multiscale method for convection-dominated convection–diffusion equations 2005 Volker John
Songül Kaya
William Layton
+ A Two-Level Variational Multiscale Method for Convection-Diusion Equations 2005 Volker John
Songül Kaya
William Layton
+ PDF Chat Consistency and feasibility of approximate deconvolution models of turbulence 2004 William Layton
Roger Lewandowski
+ IMPLICIT FOR LOCAL EFFECTS AND EXPLICIT FOR NONLOCAL EFFECTS IS UNCONDITIONALLY STABLE 2004 Mihai Anitescu
Faranak Pahlevani
William Layton
+ Unconditional Stability for Numerical Scheme Combining Implicit Timestepping for Local Effects and Explicit Timestepping for Nonlocal Effects 2003 Mihai Anitescu
William Layton
Faranak Pahlevani
+ Analysis of an Eddy Viscosity Model for Large Eddy Simulation of Turbulent Flows 2002 William Layton
Roger Lewandowski
+ A connection between subgrid scale eddy viscosity and mixed methods 2002 William Layton
+ MATHEMATICAL ANALYSIS FOR THE RATIONAL LARGE EDDY SIMULATION MODEL 2002 Luigi C. Berselli
Giovanni P. Galdi
Traian Iliescu
William Layton
+ PDF Chat On "verifiability" of models of the motion of large eddies in turbulent flows 2002 Mustafa KAYA
William Layton
+ A robust and parallel relaxation method based on algebraic splittings 1999 Vincent J. Ervin
William Layton
+ Robustness of an Elementwise Parallel Finite Element Method for Convection-Diffusion Problems 1998 William Layton
J.M.L. Maubach
Patrick J. Rabier
+ Initial value problems for nonlinear nonresonant delay differential equations with possibly infinite delay 1997 Lance D. Drager
William Layton
+ A TWO-LEVEL DISCRETIZATION METHOD FOR THE STATIONARY MHD EQUATIONS 1997 William Layton
A. J. Meir
Paul G. Schmidt
+ A Two-Level Method for the Discretization of Nonlinear Boundary Value Problems 1996 Owe Axelsson
William Layton
+ Bounded Solutions of Delay Differential Equations Subject to a Generalized Nonresonance Condition 1996 Lance D. Drager
William Layton
+ A posteriori error estimators for a two-level finite element method for the Navier-Stokes equations 1996 Vincent J. Ervin
William Layton
J.M.L. Maubach
+ A Nonlinear, Subgridscale Model for Incompressible viscous Flow Problems 1996 William Layton
+ The element separation property and parallel finite element methods for the Navier-Stokes equation 1995 William Layton
Patrick J. Rabier
+ Robust methods for highly nonsymmetric problems 1994 William Layton
J.M.L. Maubach
Patrick J. Rabier
+ Optimal difference schemes for 2-D transport problems 1993 William Layton
+ On the principal axes of diffusion in difference schemes for 2d transport problems 1990 William Layton
+ Error analysis for finite element methods for steady natural convection problems 1990 J. M. Boland
William Layton
+ PDF Chat Defect correction methods for convection dominated convection-diffusion problems 1990 Owe Axelsson
William Layton
+ Iteration method as discretization procedures 1990 Owe Axelsson
William Layton
+ An Analysis of a Defect-Correction Method for a Model Convection-Diffusion Equation 1989 Vincent J. Ervin
William Layton
+ A second order accurate, positive scheme for singularly perturbed boundary value problems 1988 Vincent J. Ervin
William Layton
+ On central difference Approximations to general second order elliptic equations 1987 William Layton
T. D. Morley
+ On the Approximation of Derivatives of Singularly Perturbed Boundary Value Problems 1987 Vincent J. Ervin
William Layton
+ $L^2 $ Estimates for Galerkin Methods for Semilinear Elliptic Equations 1987 Evans M. Harrell
William Layton
+ High-accuracy finite-element methods for positive symmetric systems 1986 William Layton
+ HIGH-ACCURACY FINITE-ELEMENT METHODS FOR POSITIVE SYMMETRIC SYSTEMS 1986 William Layton
+ Some Results on Non-Resonant Non-Linear Delay Differential Equations 1985 Lance D. Drager
William Layton
+ Asymptotics of Numerical Methods for Nonlinear Evolution Equations 1985 Lance D. Drager
William Layton
Robert M. M. Mattheij
+ On the convergence of spectral methods for semilinear hyperbolic equations 1985 William Layton
+ On the behavior over long time intervals of finite difference and finite element approximations to first order hyperbolic systems 1985 William Layton
+ Existence of almost periodic solutions to delay differential equations with Lipschitz nonlinearities 1984 William Layton
+ PDF Chat Error Estimates for Finite Difference Approximations to Hyperbolic Equations for Large Time 1984 William Layton
+ Non-Linear Delay Differential Equations and Function Algebras 1984 Lance D. Drager
William Layton
+ PDF Chat Error estimates for finite difference approximations to hyperbolic equations for large time 1984 William Layton
+ PDF Chat An energy analysis of degenerate hyperbolic partial differential equations. 1984 William Layton
+ The finite element method for a degenerate hyperbolic partial differential equation 1983 William Layton
+ Galerkin Methods for Two-Point Boundary Value Problems for First Order Systems 1983 William Layton
+ Stable and unstable numerical boundary conditions for Galerkin approximations to hyperbolic systems 1983 William Layton
+ Finite element methods for first order systems with applications to mixed equations (Mathematical Sciences) 1983 William Layton
+ Simplified L ∞ Estimates for Difference Schemes for Partial Differential Equations 1982 William Layton
+ On the existence of periodic solutions to 1982 William Layton
+ PDF Chat Simplified $L\sp \infty$ estimates for difference schemes for partial differential equations 1982 William Layton
+ PDF Chat Estimates away from a discontinuity for dissipative Galerkin methods for hyperbolic equations 1981 William Layton
+ PDF Chat Estimates Away From a Discontinuity for Dissipative Galerkin Methods for Hyperbolic Equations 1981 William Layton
+ Periodic solutions of nonlinear delay equations 1980 William Layton
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Stability of Two-Step Methods for Variable Integration Steps 1983 Germund Dahlquist
W. Liniger
Olavi Nevanlinna
10
+ Time filters increase accuracy of the fully implicit method 2018 Ahmet Guzel
William Layton
10
+ Large Eddy Simulation for Incompressible Flows 2001 Pierre Sagaut
10
+ IMPLICIT FOR LOCAL EFFECTS AND EXPLICIT FOR NONLOCAL EFFECTS IS UNCONDITIONALLY STABLE 2004 Mihai Anitescu
Faranak Pahlevani
William Layton
9
+ PDF Chat The RAW Filter: An Improvement to the Robert–Asselin Filter in Semi-Implicit Integrations 2010 Paul D. Williams
9
+ hp-Adaptive time integration based on the BDF for viscous flows 2015 A. Hay
Stéphane Étienne
Dominique Pelletier
A. Garon
8
+ Implicit-Explicit Methods for Time-Dependent Partial Differential Equations 1995 Uri M. Ascher
Steven J. Ruuth
Brian Wetton
8
+ PDF Chat Achieving Seventh-Order Amplitude Accuracy in Leapfrog Integrations 2013 Paul D. Williams
8
+ A higher-order Robert–Asselin type time filter 2013 Yong Li
Cătălin Trenchea
8
+ G-stability is equivalent toA-stability 1978 Germund Dahlquist
7
+ Truncation of scales by time relaxation 2006 William Layton
Monika Neda
7
+ One-leg variable-coefficient formulas for ordinary differential equations and local–global step size control 2006 Gennady Yu. Kulikov
Sergey Shindin
7
+ Stability of two IMEX methods, CNLF and BDF2-AB2, for uncoupling systems of evolution equations 2011 William Layton
Cătălin Trenchea
6
+ PDF Chat On a higher order accurate fully discrete Galerkin approximation to the Navier-Stokes equations 1982 Garth A. Baker
Vassilios A. Dougalis
Ohannes A. Karakashian
6
+ Numerical Methods for Singularly Perturbed Differential Equations 1996 Hans‐Görg Roos
Martin Stynes
Lutz Tobiska
6
+ PDF Chat Adaptive Time-Stepping for Incompressible Flow Part II: Navier–Stokes Equations 2010 David Kay
Philip Gresho
David F. Griffiths
David J. Silvester
6
+ On One-Leg Multistep Methods 1983 Germund Dahlquist
6
+ Introduction to Inverse Problems in Imaging 1998 M. Bertero
Patrizia Boccacci
6
+ Time averaged energy dissipation rate for shear driven flows in 1997 Xiaoming Wang
6
+ Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations 1997 Uri M. Ascher
Steven J. Ruuth
Raymond J. Spiteri
6
+ On the Stolz--Adams Deconvolution Model for the Large-Eddy Simulation of Turbulent Flows 2006 Adrian Dunca
Yekaterina Epshteyn
6
+ PDF Chat High-Order Time Stepping for the Incompressible Navier--Stokes Equations 2015 Jean‐Luc Guermond
P Minev
5
+ Accurate, stable and efficient Navier–Stokes solvers based on explicit treatment of the pressure term 2004 Hans Johnston
Jian‐Guo Liu
5
+ PDF Chat A HIGH ACCURACY LERAY-DECONVOLUTION MODEL OF TURBULENCE AND ITS LIMITING BEHAVIOR 2008 William Layton
Roger Lewandowski
5
+ Theory of Functional Differential Equations 1977 Jack K. Hale
5
+ New development in freefem++ 2012 Frédéric Hecht
5
+ PDF Chat Refactorization of Cauchy’s Method: A Second-Order Partitioned Method for Fluid–Thick Structure Interaction Problems 2021 Martina Bukač
Anyastassia Seboldt
Cătălin Trenchea
5
+ PDF Chat An overview of projection methods for incompressible flows 2006 Jean‐Luc Guermond
P Minev
Jie Shen
5
+ Refactorization of the midpoint rule 2020 John Burkardt
Cătălin Trenchea
5
+ Analysis of a Ladyzhenskaya model for incompressible viscous flow 1991 Qiang Du
Max Gunzburger
5
+ PDF Chat Damping Functions correct over‐dissipation of the Smagorinsky Model 2017 Ali Pakzad
5
+ Convergence and component splitting for the Crank-Nicolson--Leap-Frog integration method 2009 J.G. Verwer
5
+ High-order time stepping for the Navier–Stokes equations with minimal computational complexity 2016 Jean‐Luc Guermond
P Minev
5
+ On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows 2017 Volker John
Alexander Linke
Christian Merdon
Michael Neilan
Leo G. Rebholz
5
+ PDF Chat One-leg Integration of Ordinary Differential Equations with Global Error Control 2005 Gennady Yu. Kulikov
Sergey Shindin
5
+ Positive Functions and some Applications to Stability Questions for Numerical Methods 1978 Germund Dahlquist
5
+ PDF Chat On the zero-stability of multistep methods on smooth nonuniform grids 2018 Gustaf Söderlind
Imre Fekete
István Faragó
5
+ PDF Chat The Navier–Stokes-alpha model of fluid turbulence 2001 Ciprian Foiaş
Darryl D. Holm
Edriss S. Titi
5
+ One-Leg Formulas for Stiff Ordinary Differential Equations 1984 Daniel S. Watanabe
Qasim Mohammad Sheikh
4
+ Two Methods of Galerkin Type Achieving Optimum $L^2 $ Rates of Convergence for First Order Hyperbolics 1974 J. E. Dendy
4
+ Topological Methods in the Theory of Nonlinear Integral Equations. 1968 E. H. Rothe
M. A. Krasnosel’skii
A. H. Armstrong
J. Burlak
4
+ On the parameter choice in grad-div stabilization for the Stokes equations 2013 Eleanor W. Jenkins
Volker John
Alexander Linke
Leo G. Rebholz
4
+ Analysis of an Eddy Viscosity Model for Large Eddy Simulation of Turbulent Flows 2002 William Layton
Roger Lewandowski
4
+ Analysis of some difference approximations for a singular perturbation problem without turning points 1978 R. Bruce Kellogg
Alice Tsan
4
+ Finite element methods for linear hyperbolic problems 1984 Claes Johnson
Uno Nävert
Juhani Pitkäranta
4
+ Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations 1980 J. M. Varah
4
+ Une m�thode multipas implicite-explicite pour l'approximation des �quations d'�volution paraboliques 1980 Michel Crouzeix
4
+ The Rate of Convergence of Some Difference Schemes 1968 G. W. Hedstrom
4
+ Numerical Methods for Ordinary Differential Equations 2016 J. C. Butcher
4
+ Partitioned time discretization for parallel solution of coupled ODE systems 2010 Jeffrey M. Connors
Attou Miloua
4