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Chat
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Numerical analysis of a 1/2-equation model of turbulence
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2024
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Wei-Wei Han
Rui Fang
William Layton
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PDF
Chat
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Adaptive Parameter Selection in Nudging Based Data Assimilation
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2024
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Aytekin Çıbık
Rui Fang
William Layton
Farjana Siddiqua
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PDF
Chat
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Numerical analysis of a 1/2-equation model of turbulence
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2024
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Weiwei Han
Rui Fang
William Layton
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PDF
Chat
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The Ramshaw-Mesina Hybrid Algorithm applied to the Navier Stokes
Equations
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2024
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Aytekin Çıbık
Farjana Siddiqua
William Layton
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PDF
Chat
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Convergence of a Ramshaw-Mesina iteration
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2024
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Aytekin Çıbık
William Layton
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PDF
Chat
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Convergence of a Ramshaw-Mesina Iteration
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2024
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Aytekin Çıbık
William Layton
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PDF
Chat
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Numerical Analysis of a 1/2-Equation Model of Turbulence
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2024
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William Layton
Weiwei Han
Rui Fang
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PDF
Chat
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Adaptive Parameter Selection in Nudging Based Data Assimilation
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2024
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William Layton
Rui Fang
Farjana Siddiqua
Aytekin Çıbık
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PDF
Chat
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Time step adaptivity in the method of Dahlquist, Liniger and Nevanlinna
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2023
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William Layton
Wenlong Pei
Cătălin Trenchea
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PDF
Chat
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Conditioning of linear systems arising from penalty methods
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2023
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William Layton
Shuxian Xu
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PDF
Chat
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Time step adaptivity in the method of Dahlquist, Liniger and Nevanlinna
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2023
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William Layton
Wenlong Pei
Cătălin Trenchea
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On a 1/2-equation model of turbulence
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2023
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Rui Fang
Weiwei Han
William Layton
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PDF
Chat
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Stability in 3d of a sparse grad-div approximation of the Navier-Stokes equations
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2022
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William Layton
Shuxian Xu
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PDF
Chat
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On the Prandtl–Kolmogorov 1-equation model of turbulence
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2022
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Kiera Kean
William Layton
Michael Schneier
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PDF
Chat
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A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD
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2022
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Victor DeCaria
Sigal Gottlieb
Zachary J. Grant
William Layton
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Conditioning of linear systems arising from penalty methods
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2022
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William Layton
Shuxian Xu
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PDF
Chat
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Unconditional stability in 3d of a sparse grad-div approximation of the
Navier-Stokes equations
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2021
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William Layton
Shuxian Xu
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PDF
Chat
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Unconditional stability in 3d of a sparse grad-div approximation of the
Navier-Stokes equations
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2021
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William Layton
Shuxian Xu
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PDF
Chat
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Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna
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2021
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William Layton
Wenlong Pei
Cătălin Trenchea
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PDF
Chat
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Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow
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2021
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William Layton
Wenlong Pei
Yi Qin
Cătălin Trenchea
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Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna
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2021
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William Layton
Wenlong Pei
Cătălin Trenchea
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PDF
Chat
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On the Prandtl-Kolmogorov 1-equation model of turbulence
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2021
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Kiera Kean
William Layton
Michael Schneier
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+
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A Variable Stepsize, Variable Order Family of Low Complexity
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2021
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Victor DeCaria
Ahmet Guzel
William Layton
Yi Li
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+
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Clipping over dissipation in turbulence models
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2021
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Kiera Kean
William Layton
Michael Schneier
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+
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Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna
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2021
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William Layton
Wenlong Pei
Cătălin Trenchea
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+
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Stability in 3d of a sparse grad-div approximation of the Navier-Stokes equations
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2021
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William Layton
Shuxian Xu
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+
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Diagnostics for eddy viscosity models of turbulence including data-driven/neural network based parameterizations
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2020
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William Layton
Michael Schneier
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+
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Adaptive partitioned methods for the time-accurate approximation of the evolutionary Stokes–Darcy system
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2020
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Yi Li
Yanren Hou
William Layton
Haiyun Zhao
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Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow
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2020
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William Layton
Wenlong Pei
Yi Qin
Cătălin Trenchea
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PDF
Chat
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Doubly-adaptive artificial compression methods for incompressible flow
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2020
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William Layton
Michael McLaughlin
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PDF
Chat
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An Artificial Compression Reduced Order Model
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2020
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Victor DeCaria
Traian Iliescu
William Layton
Michael McLaughlin
Michael Schneier
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PDF
Chat
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On URANS Congruity with Time Averaging: Analytical Laws Suggest Improved Models
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2020
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William Layton
Michael McLaughlin
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+
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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
|
+
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Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow
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2020
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William Layton
Wenlong Pei
Yi Qin
Cătălin Trenchea
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+
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On URANS Congruity with Time Averaging: Analytical laws suggest improved models
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2019
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William Layton
Michael McLaughlin
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+
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Doubly-Adaptive Artificial Compression Methods for Incompressible Flow
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2019
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William Layton
Michael McLaughlin
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PDF
Chat
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Analysis of Variable-Step/Non-autonomous Artificial Compression Methods
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2019
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Robin Ming Chen
William Layton
Michael McLaughlin
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+
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An Artificial Compression Reduced Order Model
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2019
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Victor DeCaria
Traian Iliescu
William Layton
Michael McLaughlin
Michael Schneier
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+
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On URANS Congruity with Time Averaging: Analytical laws suggest improved models
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2019
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William Layton
Mike J. McLaughlin
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+
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Doubly-Adaptive Artificial Compression Methods for Incompressible Flow
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2019
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William Layton
Mike J. McLaughlin
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+
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An Artificial Compression Reduced Order Model
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2019
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Victor DeCaria
Traian Iliescu
William Layton
Mike J. McLaughlin
Michael Schneier
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Analysis of a low complexity, time-accurate discretization of the Navier-Stokes equations
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2018
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Victor DeCaria
William Layton
Haiyun Zhao
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PDF
Chat
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Partitioned penalty methods for the transport equation in the evolutionary Stokes–Darcy‐transport problem
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2018
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Vincent J. Ervin
Michaela Kubacki
William Layton
Marina Moraiti
Zhiyong Si
Cătălin Trenchea
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On the determination of the grad-div criterion
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2018
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Victor DeCaria
William Layton
Ali Pakzad
Yao Rong
Niyazi Şahı̇n
Haiyun Zhao
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PDF
Chat
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An efficient and modular grad–div stabilization
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2018
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Joseph A. Fiordilino
William Layton
Yao Rong
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Time filters increase accuracy of the fully implicit method
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2018
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Ahmet Guzel
William Layton
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+
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A time-accurate, adaptive discretization for fluid flow problems
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2018
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Victor DeCaria
William Layton
Haiyun Zhao
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+
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A new embedded variable stepsize, variable order family of low computational complexity
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2018
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Victor DeCaria
Ahmet Guzel
William Layton
Yi Li
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+
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Analysis of the effect of Time Filters on the implicit method: increased accuracy and improved stability
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2017
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Ahmet Guzel
William Layton
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On the determination of the grad-div criterion
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2017
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Victor DeCaria
William Layton
Ali Pakzad
Yao Rong
Niyazi Şahı̇n
Haiyun Zhao
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Analysis of the effect of Time Filters on the implicit method: increased accuracy and improved stability
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2017
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Ahmet H. Güzel
William Layton
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PDF
Chat
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Energy dissipation in the Smagorinsky model of turbulence
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2016
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William Layton
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Energy Dissipation in the Smagorinsky Model of Turbulence
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2016
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William Layton
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Energy Dissipation in the Smagorinsky Model of Turbulence
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2016
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William Layton
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+
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Algorithms and models for turbulence not at statistical equilibrium
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2015
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Nan Jiang
William Layton
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PDF
Chat
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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
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+
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Recent developments in IMEX methods with time filters for systems of evolution equations
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2015
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William Layton
Yong Li
Cătălin Trenchea
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+
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Analysis of partitioned methods for the <scp>B</scp>iot System
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2015
|
Martina Bukač
William Layton
Marina Moraiti
Hoang Tran
Cătălin Trenchea
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+
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Algorithms and Models for Turbulence Not at Statistical Equilibrium
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2015
|
Nan Jiang
William Layton
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+
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A Crank–Nicolson Leapfrog stabilization: Unconditional stability and two applications
|
2014
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Nan Jiang
Michaela Kubacki
William Layton
Marina Moraiti
Hoang Tran
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+
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ENERGY STABILITY OF A FIRST ORDER PARTITIONED METHOD FOR SYSTEMS WITH GENERAL COUPLING
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2013
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William Layton
Aziz Takhirov
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+
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Long time stability of four methods for splitting the evolutionary Stokes–Darcy problem into Stokes and Darcy subproblems
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2012
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William Layton
Hoang Tran
Xin Xiong
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+
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Approximate Deconvolution Models of Turbulence: Analysis, Phenomenology and Numerical Analysis
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2012
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William Layton
Leo G. Rebholz
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+
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Decoupled Time Stepping Methods for Fluid-Fluid Interaction
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2012
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Jeffrey M. Connors
Jason S. Howell
William Layton
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+
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Approximate Deconvolution Models of Turbulence
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2012
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William Layton
Leo G. Rebholz
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+
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Stability of two IMEX methods, CNLF and BDF2-AB2, for uncoupling systems of evolution equations
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2011
|
William Layton
Cătălin Trenchea
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+
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Theory of the NS-$\overline{\omega}$ model: A complement to the NS-$\alpha$ model
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2011
|
William Layton
Iuliana Stanculescu
Cătălin Trenchea
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+
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Stability of the IMEX Methods, CNLF and BDF2-AB2, for Uncoupling Systems of Evolution Equations
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2011
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William Layton
Cătălin Trenchea
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+
PDF
Chat
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Numerical Analysis of Filter Based Stabilization for Evolution Equations
|
2010
|
Vincent J. Ervin
William Layton
Monika Neda
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+
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Existence of smooth attractors for the Navier–Stokes-omega model of turbulence
|
2009
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William Layton
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+
PDF
Chat
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Partitioned Time Stepping for a Parabolic Two Domain Problem
|
2009
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Jeffrey M. Connors
Jason S. Howell
William Layton
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+
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Chebychev optimized approximate deconvolution models of turbulence
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2008
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William Layton
Iuliana Stanculescu
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+
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Architecture of Approximate Deconvolution Models of Turbulence*
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2008
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A. Labovschii
William Layton
Carolina C. Manica
Monika Neda
Leo G. Rebholz
Iuliana Stanculescu
Cătălin Trenchea
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+
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Unconditional Stability for Numerical Scheme Combining Implicit Timestepping for Local Effects and Explicit Timestepping for Nonlocal Effects
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2008
|
Mihai Anitescu
William Layton
Faranak Pahlevani
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PDF
Chat
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A HIGH ACCURACY LERAY-DECONVOLUTION MODEL OF TURBULENCE AND ITS LIMITING BEHAVIOR
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2008
|
William Layton
Roger Lewandowski
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PDF
Chat
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A high accuracy Leray-deconvolution model of turbulence and its limiting behavior.
|
2008
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William Layton
Roger Lewandowski
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+
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K-41 optimised approximate deconvolution models
|
2007
|
William Layton
Iuliana Stanculescu
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+
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Sensitivities in Large Eddy Simulation and Improved Estimates of Turbulent Flow Functionals
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2007
|
Mihai Anitescu
William Layton
|
+
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Truncation of scales by time relaxation
|
2006
|
William Layton
Monika Neda
|
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PDF
Chat
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A two-level variational multiscale method for convection-dominated convection–diffusion equations
|
2005
|
Volker John
Songül Kaya
William Layton
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+
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A Two-Level Variational Multiscale Method for Convection-Diusion Equations
|
2005
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Volker John
Songül Kaya
William Layton
|
+
PDF
Chat
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Consistency and feasibility of approximate deconvolution models of turbulence
|
2004
|
William Layton
Roger Lewandowski
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+
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IMPLICIT FOR LOCAL EFFECTS AND EXPLICIT FOR NONLOCAL EFFECTS IS UNCONDITIONALLY STABLE
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2004
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Mihai Anitescu
Faranak Pahlevani
William Layton
|
+
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Unconditional Stability for Numerical Scheme Combining Implicit Timestepping for Local Effects and Explicit Timestepping for Nonlocal Effects
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2003
|
Mihai Anitescu
William Layton
Faranak Pahlevani
|
+
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Analysis of an Eddy Viscosity Model for Large Eddy Simulation of Turbulent Flows
|
2002
|
William Layton
Roger Lewandowski
|
+
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A connection between subgrid scale eddy viscosity and mixed methods
|
2002
|
William Layton
|
+
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MATHEMATICAL ANALYSIS FOR THE RATIONAL LARGE EDDY SIMULATION MODEL
|
2002
|
Luigi C. Berselli
Giovanni P. Galdi
Traian Iliescu
William Layton
|
+
PDF
Chat
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On "verifiability" of models of the motion of large eddies in turbulent flows
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2002
|
Mustafa KAYA
William Layton
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+
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A robust and parallel relaxation method based on algebraic splittings
|
1999
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Vincent J. Ervin
William Layton
|
+
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Robustness of an Elementwise Parallel Finite Element Method for Convection-Diffusion Problems
|
1998
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William Layton
J.M.L. Maubach
Patrick J. Rabier
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+
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Initial value problems for nonlinear nonresonant delay differential equations with possibly infinite delay
|
1997
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Lance D. Drager
William Layton
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+
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A TWO-LEVEL DISCRETIZATION METHOD FOR THE STATIONARY MHD EQUATIONS
|
1997
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William Layton
A. J. Meir
Paul G. Schmidt
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+
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A Two-Level Method for the Discretization of Nonlinear Boundary Value Problems
|
1996
|
Owe Axelsson
William Layton
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+
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Bounded Solutions of Delay Differential Equations Subject to a Generalized Nonresonance Condition
|
1996
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Lance D. Drager
William Layton
|
+
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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
|
+
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A Nonlinear, Subgridscale Model for Incompressible viscous Flow Problems
|
1996
|
William Layton
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+
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The element separation property and parallel finite element methods for the Navier-Stokes equation
|
1995
|
William Layton
Patrick J. Rabier
|
+
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Robust methods for highly nonsymmetric problems
|
1994
|
William Layton
J.M.L. Maubach
Patrick J. Rabier
|
+
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Optimal difference schemes for 2-D transport problems
|
1993
|
William Layton
|
+
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On the principal axes of diffusion in difference schemes for 2d transport problems
|
1990
|
William Layton
|
+
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Error analysis for finite element methods for steady natural convection problems
|
1990
|
J. M. Boland
William Layton
|
+
PDF
Chat
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Defect correction methods for convection dominated convection-diffusion problems
|
1990
|
Owe Axelsson
William Layton
|
+
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Iteration method as discretization procedures
|
1990
|
Owe Axelsson
William Layton
|
+
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An Analysis of a Defect-Correction Method for a Model Convection-Diffusion Equation
|
1989
|
Vincent J. Ervin
William Layton
|
+
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A second order accurate, positive scheme for singularly perturbed boundary value problems
|
1988
|
Vincent J. Ervin
William Layton
|
+
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On central difference Approximations to general second order elliptic equations
|
1987
|
William Layton
T. D. Morley
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+
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On the Approximation of Derivatives of Singularly Perturbed Boundary Value Problems
|
1987
|
Vincent J. Ervin
William Layton
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+
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$L^2 $ Estimates for Galerkin Methods for Semilinear Elliptic Equations
|
1987
|
Evans M. Harrell
William Layton
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+
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High-accuracy finite-element methods for positive symmetric systems
|
1986
|
William Layton
|
+
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HIGH-ACCURACY FINITE-ELEMENT METHODS FOR POSITIVE SYMMETRIC SYSTEMS
|
1986
|
William Layton
|
+
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Some Results on Non-Resonant Non-Linear Delay Differential Equations
|
1985
|
Lance D. Drager
William Layton
|
+
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Asymptotics of Numerical Methods for Nonlinear Evolution Equations
|
1985
|
Lance D. Drager
William Layton
Robert M. M. Mattheij
|
+
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On the convergence of spectral methods for semilinear hyperbolic equations
|
1985
|
William Layton
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+
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On the behavior over long time intervals of finite difference and finite element approximations to first order hyperbolic systems
|
1985
|
William Layton
|
+
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Existence of almost periodic solutions to delay differential equations with Lipschitz nonlinearities
|
1984
|
William Layton
|
+
PDF
Chat
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Error Estimates for Finite Difference Approximations to Hyperbolic Equations for Large Time
|
1984
|
William Layton
|
+
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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
|
+
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The finite element method for a degenerate hyperbolic partial differential equation
|
1983
|
William Layton
|
+
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Galerkin Methods for Two-Point Boundary Value Problems for First Order Systems
|
1983
|
William Layton
|
+
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Stable and unstable numerical boundary conditions for Galerkin approximations to hyperbolic systems
|
1983
|
William Layton
|
+
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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
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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
|