Axially Symmetric Acoustic Wave Propagation Through Flows with Vorticity. - Noel Walkington (SIAM J. Sci. Comput., 1991)

A Delaunay based numerical method for three dimensions: generation, formulation, and partition. - Gary L. Miller; Dafna Talmor; Shang-Hua Teng; Noel Walkington (STOC, 1995)

Numerical Methods for a Nonconvex Optimization Problem Modeling Martensitic Microstructure. - Roy A. Nicolaides; Noel Walkington; Han Wang (SIAM J. Sci. Comput., 1997)

Estimating Interpolation Error: A Combinatorial Approach. - Stephen Guattery; Gary L. Miller; Noel Walkington (SODA, 1999)

A Parallel Dynamic-Mesh Lagrangian Method for Simulation of Flows with Dynamic Interfaces. - James F. Antaki; Guy E. Blelloch; Omar Ghattas; Ivan Malcevic; Gary L. Miller; Noel Walkington (SC, 2000)

Smoothing and cleaning up slivers. - Herbert Edelsbrunner; Xiang-Yang Li 001; Gary L. Miller; Andreas Stathopoulos; Dafna Talmor; Shang-Hua Teng; Alper Üngör; Noel Walkington (STOC, 2000)

Estimates for numerical approximations of rank one convex envelopes. - Georg Dolzmann; Noel Walkington (Numerische Mathematik, 2000)

Approximation of Liquid Crystal Flows. - Chun Liu 009; Noel J. Walkington (SIAM J. Numer. Anal., 2000)

Persistent triangulations Journal of Functional Programming. - Guy E. Blelloch; Hal Burch; Karl Crary; Robert Harper 001; Gary L. Miller; Noel Walkington (J. Funct. Program., 2001)

Fully Incremental 3D Delaunay Refinement Mesh Generation. - Gary L. Miller; Steven E. Pav; Noel Walkington (IMR, 2002)

When and Why Ruppert's Algorithm Works. - Gary L. Miller; Steven E. Pav; Noel Walkington (IMR, 2003)

A Bézier-based approach to unstructured moving meshes. - David E. Cardoze; Alexandre Cunha; Gary L. Miller; Todd Phillips; Noel Walkington (SCG, 2004)

Robust Three Dimensional Delaunay Refinement. - Steven E. Pav; Noel Walkington (IMR, 2004)

Delaunay Refinement by Corner Lopping. - Steven E. Pav; Noel Walkington (IMR, 2005)

When and why delaunay refinement algorithms work. - Gary L. Miller; Steven E. Pav; Noel Walkington (Int. J. Comput. Geom. Appl., 2005)

Convergence of the Discontinuous Galerkin Method for Discontinuous Solutions. - Noel Walkington (SIAM J. Numer. Anal., 2005)

Error Estimates for the Discontinuous Galerkin Methods for Parabolic Equations. - Konstantinos Chrysafinos; Noel Walkington (SIAM J. Numer. Anal., 2006)

Error Estimates for Discontinuous Galerkin Approximations of Implicit Parabolic Equations. - Konstantinos Chrysafinos; Noel Walkington (SIAM J. Numer. Anal., 2006)

Convergence of Numerical Approximations of the Incompressible Navier-Stokes Equations with Variable Density and Viscosity. - Chun Liu 009; Noel Walkington (SIAM J. Numer. Anal., 2007)

3D Delaunay Refinement of Sharp Domains without a Local Feature Size Oracle. - Alexander Rand; Noel Walkington (IMR, 2008)

Collars and Intestines: Practical Conforming Delaunay Refinement. - Alexander Rand; Noel Walkington (IMR, 2009)

Discontinuous Galerkin approximations of the Stokes and Navier-Stokes equations. - Konstantinos Chrysafinos; Noel Walkington (Math. Comput., 2010)

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

Delaunay Refinement Algorithms for Estimating Local Feature Size in 2D and 3D. - Alexander Rand; Noel Walkington (Int. J. Comput. Geom. Appl., 2011)

Inf-sup conditions for twofold saddle point problems. - Jason S. Howell; Noel Walkington (Numerische Mathematik, 2011)

Convergence of a Discontinuous Galerkin Method for the Miscible Displacement Equation under Low Regularity. - Beatrice Riviere; Noel Walkington (SIAM J. Numer. Anal., 2011)

Solving 1-Laplacians in Nearly Linear Time: Collapsing and Expanding a Topological Ball. - Michael B. Cohen; Brittany Terese Fasy; Gary L. Miller; Amir Nayyeri; Richard Peng; Noel Walkington (SODA, 2014)

A C1 Tetrahedral Finite Element without Edge Degrees of Freedom. - Noel Walkington (SIAM J. Numer. Anal., 2014)

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

Modeling of Nematic Electrolytes and Nonlinear Electroosmosis. - Maria-Carme Calderer; Dmitry Golovaty; Oleg Lavrentovich; Noel J. Walkington (SIAM J. Appl. Math., 2016)

Hardy-Muckenhoupt Bounds for Laplacian Eigenvalues. - Gary L. Miller; Noel J. Walkington; Alex L. Wang (APPROX-RANDOM, 2019)

Control Volume Approximation of Degenerate Two-Phase Porous Flows. - Thomas J. Murphy 001; Noel J. Walkington (SIAM J. Numer. Anal., 2019)

Numerical Approximation of Nonlinear SPDE's. - Martin Ondreját; Andreas Prohl; Noel Walkington (CoRR, 2020)

Weighted Cheeger and Buser Inequalities, with Applications to Clustering and Cutting Probability Densities. - Timothy Chu; Gary L. Miller; Noel J. Walkington; Alex L. Wang (CoRR, 2020)

A new reduced order model of linear parabolic PDEs. - Noel Walkington; Franziska Weber; Yangwen Zhang (CoRR, 2022)

Spectral Clustering on Large Datasets: When Does it Work? Theory from Continuous Clustering and Density Cheeger-Buser. - Timothy Chu; Gary L. Miller; Noel Walkington (CoRR, 2023)

Stability and Convergence of HDG Schemes under Minimal Regularity. - Jiannan Jiang; Noel J. Walkington; Yukun Yue (CoRR, 2023)

Nesterov's Method for Convex Optimization. - Noel J. Walkington (SIAM Rev., 2023)

Analysis of a dislocation model for earthquakes. - Jing Liu; Xin Yang Lu; Noel J. Walkington (CoRR, 2024)