Noel Walkington

Orcid: 0000-0002-9128-0524

Affiliations:
  • Carnegie Mellon University, Pittsburgh, USA


According to our database1, Noel Walkington authored at least 38 papers between 1991 and 2023.

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Bibliography

2023
Nesterov's Method for Convex Optimization.
SIAM Rev., May, 2023

Stability and Convergence of HDG Schemes under Minimal Regularity.
CoRR, 2023

Spectral Clustering on Large Datasets: When Does it Work? Theory from Continuous Clustering and Density Cheeger-Buser.
CoRR, 2023

2022
A new reduced order model of linear parabolic PDEs.
CoRR, 2022

2020
Weighted Cheeger and Buser Inequalities, with Applications to Clustering and Cutting Probability Densities.
CoRR, 2020

Numerical Approximation of Nonlinear SPDE's.
CoRR, 2020

2019
Control Volume Approximation of Degenerate Two-Phase Porous Flows.
SIAM J. Numer. Anal., 2019

Hardy-Muckenhoupt Bounds for Laplacian Eigenvalues.
Proceedings of the Approximation, 2019

2016
Modeling of Nematic Electrolytes and Nonlinear Electroosmosis.
SIAM J. Appl. Math., 2016

2014
Combined DG-CG Time Stepping for Wave Equations.
SIAM J. Numer. Anal., 2014

A C<sup>1</sup> Tetrahedral Finite Element without Edge Degrees of Freedom.
SIAM J. Numer. Anal., 2014

Solving 1-Laplacians in Nearly Linear Time: Collapsing and Expanding a Topological Ball.
Proceedings of the Twenty-Fifth Annual ACM-SIAM Symposium on Discrete Algorithms, 2014

2011
Convergence of a Discontinuous Galerkin Method for the Miscible Displacement Equation under Low Regularity.
SIAM J. Numer. Anal., 2011

Inf-sup conditions for twofold saddle point problems.
Numerische Mathematik, 2011

Delaunay Refinement Algorithms for Estimating Local Feature Size in 2D and 3D.
Int. J. Comput. Geom. Appl., 2011

2010
Compactness Properties of the DG and CG Time Stepping Schemes for Parabolic Equations.
SIAM J. Numer. Anal., 2010

Discontinuous Galerkin approximations of the Stokes and Navier-Stokes equations.
Math. Comput., 2010

2009
Collars and Intestines: Practical Conforming Delaunay Refinement.
Proceedings of the 18th International Meshing Roundtable, 2009

2008
3D Delaunay Refinement of Sharp Domains without a Local Feature Size Oracle.
Proceedings of the 17th International Meshing Roundtable, 2008

2007
Convergence of Numerical Approximations of the Incompressible Navier-Stokes Equations with Variable Density and Viscosity.
SIAM J. Numer. Anal., 2007

2006
Error Estimates for Discontinuous Galerkin Approximations of Implicit Parabolic Equations.
SIAM J. Numer. Anal., 2006

Error Estimates for the Discontinuous Galerkin Methods for Parabolic Equations.
SIAM J. Numer. Anal., 2006

2005
Convergence of the Discontinuous Galerkin Method for Discontinuous Solutions.
SIAM J. Numer. Anal., 2005

When and why delaunay refinement algorithms work.
Int. J. Comput. Geom. Appl., 2005

Delaunay Refinement by Corner Lopping.
Proceedings of the 14th International Meshing Roundtable, 2005

2004
Robust Three Dimensional Delaunay Refinement.
Proceedings of the 13th International Meshing Roundtable, 2004

A Bézier-based approach to unstructured moving meshes.
Proceedings of the 20th ACM Symposium on Computational Geometry, 2004

2003
When and Why Ruppert's Algorithm Works.
Proceedings of the 12th International Meshing Roundtable, 2003

2002
Fully Incremental 3D Delaunay Refinement Mesh Generation.
Proceedings of the 11th International Meshing Roundtable, 2002

2001
Persistent triangulations Journal of Functional Programming.
J. Funct. Program., 2001

2000
Approximation of Liquid Crystal Flows.
SIAM J. Numer. Anal., 2000

Estimates for numerical approximations of rank one convex envelopes.
Numerische Mathematik, 2000

Smoothing and cleaning up slivers.
Proceedings of the Thirty-Second Annual ACM Symposium on Theory of Computing, 2000

A Parallel Dynamic-Mesh Lagrangian Method for Simulation of Flows with Dynamic Interfaces.
Proceedings of the Proceedings Supercomputing 2000, 2000

1999
Estimating Interpolation Error: A Combinatorial Approach.
Proceedings of the Tenth Annual ACM-SIAM Symposium on Discrete Algorithms, 1999

1997
Numerical Methods for a Nonconvex Optimization Problem Modeling Martensitic Microstructure.
SIAM J. Sci. Comput., 1997

1995
A Delaunay based numerical method for three dimensions: generation, formulation, and partition.
Proceedings of the Twenty-Seventh Annual ACM Symposium on Theory of Computing, 1995

1991
Axially Symmetric Acoustic Wave Propagation Through Flows with Vorticity.
SIAM J. Sci. Comput., 1991


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