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ORCIDWilliam J. Layton
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- affiliation: University of Pittsburgh, Pittsburgh, PA, USA
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2020 – today
- 2022
[j42]William J. Layton
, Wenlong Pei, Catalin Trenchea:
Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna. Appl. Math. Lett. 125: 107789 (2022)- [j41]Victor P. DeCaria, Sigal Gottlieb, Zachary J. Grant, William J. Layton:
A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD. J. Comput. Phys. 455: 110927 (2022) - [i10]William J. Layton, Shuxian Xu:
Conditioning of linear systems arising from penalty methods. CoRR abs/2206.06971 (2022) - 2021
- [j40]Victor P. DeCaria, Ahmet Guzel, William J. Layton, Yi Li:
A Variable Stepsize, Variable Order Family of Low Complexity. SIAM J. Sci. Comput. 43(3): A2130-A2160 (2021) - [i9]Kiera Kean, William J. Layton, Michael Schneier:
On the Prandtl-Kolmogorov 1-equation model of turbulence. CoRR abs/2106.09855 (2021) - [i8]William J. Layton, Wenlong Pei, Catalin Trenchea:
Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna. CoRR abs/2108.09339 (2021) - [i7]Kiera Kean, William J. Layton, Michael Schneier:
Clipping over dissipation in turbulence models. CoRR abs/2109.12107 (2021) - [i6]William J. Layton, Shuxian Xu:
Unconditional stability in 3d of a sparse grad-div approximation of the Navier-Stokes equations. CoRR abs/2112.07062 (2021) - 2020
- [j39]William J. Layton, Michael McLaughlin:
Doubly-adaptive artificial compression methods for incompressible flow. J. Num. Math. 28(3): 175-192 (2020) - [j38]Victor P. DeCaria, Traian Iliescu, William J. Layton, Michael McLaughlin, Michael Schneier:
An Artificial Compression Reduced Order Model. SIAM J. Numer. Anal. 58(1): 565-589 (2020) - [i5]William J. Layton, Wenlong Pei, Yi Qin, Catalin Trenchea:
Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow. CoRR abs/2001.08640 (2020) - [i4]Victor P. DeCaria, Sigal Gottlieb, Zachary J. Grant, William J. Layton:
A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD. CoRR abs/2010.06360 (2020)
2010 – 2019
- 2019
- [i3]William J. Layton, Michael McLaughlin:
Doubly-Adaptive Artificial Compression Methods for Incompressible Flow. CoRR abs/1907.08235 (2019) - [i2]William J. Layton, Michael McLaughlin:
On URANS Congruity with Time Averaging: Analytical laws suggest improved models. CoRR abs/1907.10092 (2019) - [i1]William J. Layton, Michael Schneier:
Diagnostics for Eddy Viscosity Models of Turbulence Including Data-Driven/Neural Network Based Parameterizations. CoRR abs/1911.02491 (2019) - 2018
- [j37]Yao Rong, William J. Layton, Haiyun Zhao:
Numerical Analysis of an Artificial Compression Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers. J. Sci. Comput. 76(3): 1458-1483 (2018) - 2016
- [j36]William J. Layton:
Energy dissipation in the Smagorinsky model of turbulence. Appl. Math. Lett. 59: 56-59 (2016) - [j35]Nan Jiang, William J. Layton:
Algorithms and models for turbulence not at statistical equilibrium. Comput. Math. Appl. 71(11): 2352-2372 (2016) - [j34]William J. Layton, Yong Li, Catalin Trenchea:
Recent developments in IMEX methods with time filters for systems of evolution equations. J. Comput. Appl. Math. 299: 50-67 (2016) - 2015
- [j33]Vincent J. Ervin, Michaela Kubacki, William J. Layton, Marina Moraiti, Zhiyong Si, Catalin Trenchea:
On Limiting Behavior of Contaminant Transport Models in Coupled Surface and Groundwater Flows. Axioms 4(4): 518-529 (2015) - [j32]Nan Jiang, Songul Kaya, William J. Layton:
Analysis of Model Variance for Ensemble Based Turbulence Modeling. Comput. Methods Appl. Math. 15(2): 173-188 (2015) - [j31]Nan Jiang, Michaela Kubacki, William J. Layton, Marina Moraiti, Hoang Tran:
A Crank-Nicolson Leapfrog stabilization: Unconditional stability and two applications. J. Comput. Appl. Math. 281: 263-276 (2015) - 2013
- [j30]William J. Layton, Hoang Tran, Catalin Trenchea:
Analysis of Long Time Stability and Errors of Two Partitioned Methods for Uncoupling Evolutionary Groundwater-Surface Water Flows. SIAM J. Numer. Anal. 51(1): 248-272 (2013) - [j29]Adrian Maries, Nathan Mays, MeganOlson Hunt, Kim F. Wong, William J. Layton, Robert Boudreau, Caterina Rosano, G. Elisabeta Marai:
GRACE: A Visual Comparison Framework for Integrated Spatial and Non-Spatial Geriatric Data. IEEE Trans. Vis. Comput. Graph. 19(12): 2916-2925 (2013) - 2012
- [j28]William J. Layton, Hoang Tran, Xin Xiong:
Long time stability of four methods for splitting the evolutionary Stokes-Darcy problem into Stokes and Darcy subproblems. J. Comput. Appl. Math. 236(13): 3198-3217 (2012) - [j27]Jeffrey M. Connors, Jason S. Howell, William J. Layton:
Decoupled Time Stepping Methods for Fluid-Fluid Interaction. SIAM J. Numer. Anal. 50(3): 1297-1319 (2012) - [j26]Vincent J. Ervin, William J. Layton, Monika Neda:
Numerical Analysis of Filter-Based Stabilization for Evolution Equations. SIAM J. Numer. Anal. 50(5): 2307-2335 (2012) - 2011
- [j25]William J. Layton:
On Taylor/Eddy solutions of approximate deconvolution models of turbulence. Appl. Math. Lett. 24(1): 23-26 (2011) - [j24]William J. Layton, Catalin Trenchea:
The Das-Moser commutator closure for filtering through a boundary is well-posed. Math. Comput. Model. 53(5-6): 566-573 (2011) - 2010
- [j23]William J. Layton, C. David Pruett, Leo G. Rebholz:
Temporally regularized direct numerical simulation. Appl. Math. Comput. 216(12): 3728-3738 (2010) - [j22]J. Connors, William J. Layton:
On the accuracy of the finite element method plus time relaxation. Math. Comput. 79(270): 619-648 (2010)
2000 – 2009
- 2009
- [j21]William J. Layton, Iuliana Stanculescu:
Chebychev optimized approximate deconvolution models of turbulence. Appl. Math. Comput. 208(1): 106-118 (2009) - [j20]William J. Layton, Carolina C. Manica, Monika Neda, Maxim A. Olshanskii, Leo G. Rebholz:
On the accuracy of the rotation form in simulations of the Navier-Stokes equations. J. Comput. Phys. 228(9): 3433-3447 (2009) - [j19]Jeffrey M. Connors, Jason S. Howell, William J. Layton:
Partitioned Time Stepping for a Parabolic Two Domain Problem. SIAM J. Numer. Anal. 47(5): 3526-3549 (2009) - 2007
- [j18]William J. Layton, Iuliana Stanculescu:
K-41 optimised approximate deconvolution models. Int. J. Comput. Sci. Math. 1(2/3/4): 396-411 (2007) - [j17]William J. Layton:
Bounds on Energy and Helicity Dissipation Rates of Approximate Deconvolution Models of Turbulence. SIAM J. Math. Anal. 39(3): 916-931 (2007) - [j16]Volker John, William J. Layton, Carolina C. Manica:
Convergence of Time-Averaged Statistics of Finite Element Approximations of the Navier-Stokes Equations. SIAM J. Numer. Anal. 46(1): 151-179 (2007) - [j15]Mihai Anitescu, William J. Layton:
Sensitivities in Large Eddy Simulation and Improved Estimates of Turbulent Flow Functionals. SIAM J. Sci. Comput. 29(4): 1650-1667 (2007) - 2006
- [j14]Songul Kaya, William J. Layton, Beatrice Riviere:
Subgrid Stabilized Defect Correction Methods for the Navier-Stokes Equations. SIAM J. Numer. Anal. 44(4): 1639-1654 (2006) - 2005
- [j13]William J. Layton:
Model reduction by constraints, discretization of flow problems and an induced pressure stabilization. Numer. Linear Algebra Appl. 12(5-6): 547-562 (2005) - 2003
- [j12]William J. Layton, Roger Lewandowski:
A simple and stable scale-similarity model for large Eddy simulation: Energy balance and existence of weak solutions. Appl. Math. Lett. 16(8): 1205-1209 (2003) - 2002
- [j11]William J. Layton, H. K. Lee, J. Peterson:
A defect-correction method for the incompressible Navier-Stokes equations. Appl. Math. Comput. 129(1): 1-19 (2002) - [j10]William J. Layton:
A connection between subgrid scale eddy viscosity and mixed methods. Appl. Math. Comput. 133(1): 147-157 (2002) - [j9]Volker John, William J. Layton:
Analysis of Numerical Errors in Large Eddy Simulation. SIAM J. Numer. Anal. 40(3): 995-1020 (2002) - [j8]William J. Layton, Friedhelm Schieweck, Ivan Yotov:
Coupling Fluid Flow with Porous Media Flow. SIAM J. Numer. Anal. 40(6): 2195-2218 (2002) - 2001
- [j7]Volker John, William J. Layton:
Approximating Local Averages of Fluid Velocities: The Stokes Problem. Computing 66(3): 269-287 (2001) - 2000
- [j6]Vincent J. Ervin, William J. Layton, Joseph M. Maubach:
Adaptive Defect-Correction Methods for Viscous Incompressible Flow Problems. SIAM J. Numer. Anal. 37(4): 1165-1185 (2000)
1990 – 1999
- 1998
- [j5]William J. Layton, Joseph M. Maubach, Patrick J. Rabier:
Robustness of an Elementwise Parallel Finite Element Method for Convection-Diffusion Problems. SIAM J. Sci. Comput. 19(6): 1870-1891 (1998) - [j4]William J. Layton, H. K. Lee, J. Peterson:
Numerical Solution of the Stationary Navier-Stokes Equations Using a Multilevel Finite Element Method. SIAM J. Sci. Comput. 20(1): 1-12 (1998) - 1996
- [j3]William J. Layton:
A Nonlinear, Subgridscale Model for Incompressible viscous Flow Problems. SIAM J. Sci. Comput. 17(2): 347-357 (1996) - [j2]William J. Layton, Ben Polman:
Oscillation Absorption Finite Element Methods for Convection-Diffusion Problems. SIAM J. Sci. Comput. 17(6): 1328-1346 (1996) - 1995
- [j1]William J. Layton, Patrick J. Rabier:
Peaceman - Rachford procedure and domain decomposition for finite element problems. Numer. Linear Algebra Appl. 2(4): 363-393 (1995)
Coauthor Index
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