Convolution-Generated Motion and Generalized Huygens' Principles for Interface Motion. - Barry Merriman; Steven J. Ruuth (SIAM J. Appl. Math., 2000)

Diffusion-Generated Motion by Mean Curvature for Filaments. - Steven J. Ruuth; Barry Merriman; Jack Xin; Stanley J. Osher (J. Nonlinear Sci., 2001)

Two Barriers on Strong-Stability-Preserving Time Discretization Methods. - Steven J. Ruuth; Raymond J. Spiteri (J. Sci. Comput., 2002)

A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods. - Raymond J. Spiteri; Steven J. Ruuth (SIAM J. Numer. Anal., 2002)

A Simple Scheme for Volume-Preserving Motion by Mean Curvature. - Steven J. Ruuth; Brian T. R. Wetton (J. Sci. Comput., 2003)

Non-linear evolution using optimal fourth-order strong-stability-preserving Runge-Kutta methods. - Raymond J. Spiteri; Steven J. Ruuth (Math. Comput. Simul., 2003)

Monotonicity-Preserving Linear Multistep Methods. - Willem Hundsdorfer; Steven J. Ruuth; Raymond J. Spiteri (SIAM J. Numer. Anal., 2003)

High-Order Strong-Stability-Preserving Runge-Kutta Methods with Downwind-Biased Spatial Discretizations. - Steven J. Ruuth; Raymond J. Spiteri (SIAM J. Numer. Anal., 2004)

Threshold dynamics for shape reconstruction and disocclusion. - Selim Esedoglu; Steven J. Ruuth; Richard Tsai 001 (ICIP (2), 2005)

A Fifth Order Flux Implicit WENO Method. - Sigal Gottlieb; Julia S. Mullen; Steven J. Ruuth (J. Sci. Comput., 2006)

Optimal Strong-Stability-Preserving Time-Stepping Schemes with Fast Downwind Spatial Discretizations. - Sigal Gottlieb; Steven J. Ruuth (J. Sci. Comput., 2006)

On monotonicity and boundedness properties of linear multistep methods. - Willem Hundsdorfer; Steven J. Ruuth (Math. Comput., 2006)

Global optimization of explicit strong-stability-preserving Runge-Kutta methods. - Steven J. Ruuth (Math. Comput., 2006)

IMEX extensions of linear multistep methods with general monotonicity and boundedness properties. - Willem Hundsdorfer; Steven J. Ruuth (J. Comput. Phys., 2007)

Diffusion generated motion of curves on surfaces. - Barry Merriman; Steven J. Ruuth (J. Comput. Phys., 2007)

Symmetry reduction for molecular dynamics simulation of an imploding gas bubble. - Alexander Bass; Seth Putterman; Barry Merriman; Steven J. Ruuth (J. Comput. Phys., 2008)

A simple embedding method for solving partial differential equations on surfaces. - Steven J. Ruuth; Barry Merriman (J. Comput. Phys., 2008)

A Numerical Study of Diagonally Split Runge-Kutta Methods for PDEs with Discontinuities. - Colin B. Macdonald; Sigal Gottlieb; Steven J. Ruuth (J. Sci. Comput., 2008)

Level Set Equations on Surfaces via the Closest Point Method. - Colin B. Macdonald; Steven J. Ruuth (J. Sci. Comput., 2008)

Segmentation on surfaces with the Closest Point Method. - Li (Luke) Tian; Colin B. Macdonald; Steven J. Ruuth (ICIP, 2009)

The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces. - Colin B. Macdonald; Steven J. Ruuth (SIAM J. Sci. Comput., 2009)

Diffusion generated motion using signed distance functions. - Selim Esedoglu; Steven J. Ruuth; Richard Tsai 001 (J. Comput. Phys., 2010)

Solving eigenvalue problems on curved surfaces using the Closest Point Method. - Colin B. Macdonald; Jeremy Brandman; Steven J. Ruuth (J. Comput. Phys., 2011)

On the Linear Stability of the Fifth-Order WENO Discretization. - Mohammad Motamed; Colin B. Macdonald; Steven J. Ruuth (J. Sci. Comput., 2011)

An h-r Moving Mesh Method for One-Dimensional Time-Dependent PDEs. - Benjamin W. Ong; Robert Russell; Steven J. Ruuth (IMR, 2012)

Spatially Partitioned Embedded Runge-Kutta Methods. - David I. Ketcheson; Colin B. Macdonald; Steven J. Ruuth (SIAM J. Numer. Anal., 2013)

The Stability of Localized Spot Patterns for the Brusselator on the Sphere. - Ignacio Rozada; Steven J. Ruuth; Michael Jeffrey Ward (SIAM J. Appl. Dyn. Syst., 2014)

Laplace-Beltrami spectra for shape comparison of surfaces in 3D using the closest point method. - Reynaldo J. Arteaga; Steven J. Ruuth (ICIP, 2015)

A localized meshless method for diffusion on folded surfaces. - Ka Chun Cheung; Leevan Ling; Steven J. Ruuth (J. Comput. Phys., 2015)

PDEs on moving surfaces via the closest point method and a modified grid based particle method. - Argyrios Petras; Steven J. Ruuth (J. Comput. Phys., 2016)

Solving variational problems and partial differential equations that map between manifolds via the closest point method. - Nathan D. King; Steven J. Ruuth (J. Comput. Phys., 2017)

An RBF-FD closest point method for solving PDEs on surfaces. - Argyrios Petras; Leevan Ling; Steven J. Ruuth (J. Comput. Phys., 2018)

Domain Decomposition for the Closest Point Method. - Ian C. T. May; Ronald D. Haynes; Steven J. Ruuth (CoRR, 2019)

Additive Schwarz solvers and preconditioners for the closest point method. - Ian C. T. May; Ronald D. Haynes; Steven J. Ruuth (CoRR, 2019)

A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces. - Argyrios Petras; Leevan Ling; Cécile Piret; Steven J. Ruuth (J. Comput. Phys., 2019)

Boundary treatment of high order Runge-Kutta methods for hyperbolic conservation laws. - Weifeng Zhao; Juntao Huang; Steven J. Ruuth (J. Comput. Phys., 2020)

Schwarz Solvers and Preconditioners for the Closest Point Method. - Ian C. T. May; Ronald D. Haynes; Steven J. Ruuth (SIAM J. Sci. Comput., 2020)

A Convergence Analysis of the Parallel Schwarz Solution of the Continuous Closest Point Method. - Alireza Yazdani; Ronald D. Haynes; Steven J. Ruuth (CoRR, 2021)

Linearly Stabilized Schemes for the Time Integration of Stiff Nonlinear PDEs. - Kevin Chow; Steven J. Ruuth (J. Sci. Comput., 2021)

Meshfree Semi-Lagrangian Methods for Solving Surface Advection PDEs. - Argyrios Petras; Leevan Ling; Steven J. Ruuth (J. Sci. Comput., 2022)

Realistic pattern formations on rough surfaces. - Siqing Li; Leevan Ling; Steven J. Ruuth; Xuemeng Wang (CoRR, 2023)

A Closest Point Method for Surface PDEs with Interior Boundary Conditions for Geometry Processing. - Nathan D. King; Haozhe Su; Mridul Aanjaneya; Steven J. Ruuth; Christopher Batty (CoRR, 2023)

A closest point method library for PDEs on surfaces with parallel domain decomposition solvers and preconditioners. - Ian C. T. May; Ronald D. Haynes; Steven J. Ruuth (Numer. Algorithms, 2023)

A Simple Heat Method for Computing Geodesic Paths on General Manifold Representations. - Nathan D. King; Steven J. Ruuth; Christopher Batty (SIGGRAPH Asia Posters, 2024)

Underdetermined Fourier Extensions for Partial Differential Equations on Surfaces. - Daniel R. Venn; Steven J. Ruuth (CoRR, 2024)

A Meshfree Method for Eigenvalues of Differential Operators on Surfaces, Including Steklov Problems. - Daniel R. Venn; Steven J. Ruuth (CoRR, 2024)

Realistic Pattern Formations on Surfaces by Adding Arbitrary Roughness. - Siqing Li; Leevan Ling; Steven J. Ruuth; Xuemeng Wang (SIAM J. Appl. Math., 2024)

A Meshfree RBF-FD Constant along Normal Method for Solving PDEs on Surfaces. - Victor Bayona; Argyrios Petras; Cécile Piret; Steven J. Ruuth (SIAM J. Sci. Comput., 2024)

A Closest Point Method for PDEs on Manifolds with Interior Boundary Conditions for Geometry Processing. - Nathan D. King; Haozhe Su; Mridul Aanjaneya; Steven J. Ruuth; Christopher Batty (ACM Trans. Graph., 2024)

Geodesic distance approximation using a surface finite element method for the p-Laplacian. - Hannah Potgieter; Razvan C. Fetecau; Steven J. Ruuth (Comput. Aided Geom. Des., 2025)