Steven J. Ruuth

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 22

Top Topics

Convergence Analysis

Partial Differential Equations

Top Venues

J. Comput. Phys.

J. Sci. Comput.

Publications

Siqing Li, Leevan Ling, Steven J. Ruuth, Xuemeng Wang
Realistic Pattern Formations on Surfaces by Adding Arbitrary Roughness. SIAM J. Appl. Math. 84 (3) (2024)
Daniel R. Venn, Steven J. Ruuth
Underdetermined Fourier Extensions for Partial Differential Equations on Surfaces. CoRR (2024)
Siqing Li, Leevan Ling, Steven J. Ruuth, Xuemeng Wang
Realistic pattern formations on rough surfaces. CoRR (2023)
Nathan D. King, Haozhe Su, Mridul Aanjaneya, Steven J. Ruuth, Christopher Batty
A Closest Point Method for Surface PDEs with Interior Boundary Conditions for Geometry Processing. CoRR (2023)
Ian C. T. May, Ronald D. Haynes, Steven J. Ruuth
A closest point method library for PDEs on surfaces with parallel domain decomposition solvers and preconditioners. Numer. Algorithms 93 (2) (2023)
Argyrios Petras, Leevan Ling, Steven J. Ruuth
Meshfree Semi-Lagrangian Methods for Solving Surface Advection PDEs. J. Sci. Comput. 93 (1) (2022)
Kevin Chow, Steven J. Ruuth
Linearly Stabilized Schemes for the Time Integration of Stiff Nonlinear PDEs. CoRR (2021)
Ian C. T. May, Ronald D. Haynes, Steven J. Ruuth
A closest point method library for PDEs on surfaces with parallel domain decomposition solvers and preconditioners. CoRR (2021)
Alireza Yazdani, Ronald D. Haynes, Steven J. Ruuth
A Convergence Analysis of the Parallel Schwarz Solution of the Continuous Closest Point Method. CoRR (2021)
Kevin Chow, Steven J. Ruuth
Linearly Stabilized Schemes for the Time Integration of Stiff Nonlinear PDEs. J. Sci. Comput. 87 (3) (2021)
Weifeng Zhao, Juntao Huang, Steven J. Ruuth
Boundary treatment of high order Runge-Kutta methods for hyperbolic conservation laws. J. Comput. Phys. 421 (2020)
Weifeng Zhao, Juntao Huang, Steven J. Ruuth
Boundary treatment of high order Runge-Kutta methods for hyperbolic conservation laws. CoRR (2020)
Ian C. T. May, Ronald D. Haynes, Steven J. Ruuth
Schwarz Solvers and Preconditioners for the Closest Point Method. SIAM J. Sci. Comput. 42 (6) (2020)
Ian C. T. May, Ronald D. Haynes, Steven J. Ruuth
Domain Decomposition for the Closest Point Method. CoRR (2019)
Ian C. T. May, Ronald D. Haynes, Steven J. Ruuth
Additive Schwarz solvers and preconditioners for the closest point method. CoRR (2019)
Argyrios Petras, Leevan Ling, Cécile Piret, Steven J. Ruuth
A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces. J. Comput. Phys. 381 (2019)
Argyrios Petras, Steven J. Ruuth
PDEs on moving surfaces via the closest point method and a modified grid based particle method. CoRR (2019)
Argyrios Petras, Leevan Ling, Steven J. Ruuth
An RBF-FD closest point method for solving PDEs on surfaces. J. Comput. Phys. 370 (2018)
Nathan D. King, Steven J. Ruuth
Solving variational problems and partial differential equations that map between manifolds via the closest point method. J. Comput. Phys. 336 (2017)
Argyrios Petras, Steven J. Ruuth
PDEs on moving surfaces via the closest point method and a modified grid based particle method. J. Comput. Phys. 312 (2016)
Ka Chun Cheung, Leevan Ling, Steven J. Ruuth
A localized meshless method for diffusion on folded surfaces. J. Comput. Phys. 297 (2015)
Reynaldo J. Arteaga, Steven J. Ruuth
Laplace-Beltrami spectra for shape comparison of surfaces in 3D using the closest point method. ICIP (2015)
Ignacio Rozada, Steven J. Ruuth, Michael Jeffrey Ward
The Stability of Localized Spot Patterns for the Brusselator on the Sphere. SIAM J. Appl. Dyn. Syst. 13 (1) (2014)
David I. Ketcheson, Colin B. Macdonald, Steven J. Ruuth
Spatially Partitioned Embedded Runge-Kutta Methods. SIAM J. Numer. Anal. 51 (5) (2013)
Colin B. Macdonald, Jeremy Brandman, Steven J. Ruuth
Solving eigenvalue problems on curved surfaces using the Closest Point Method. J. Comput. Phys. 230 (22) (2011)
Mohammad Motamed, Colin B. Macdonald, Steven J. Ruuth
On the Linear Stability of the Fifth-Order WENO Discretization. J. Sci. Comput. 47 (2) (2011)
Selim Esedoglu, Steven J. Ruuth, Yen-Hsi Richard Tsai
Diffusion generated motion using signed distance functions. J. Comput. Phys. 229 (4) (2010)
Li (Luke) Tian, Colin B. Macdonald, Steven J. Ruuth
Segmentation on surfaces with the Closest Point Method. ICIP (2009)
Colin B. Macdonald, Steven J. Ruuth
The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces. SIAM J. Sci. Comput. 31 (6) (2009)
Colin B. Macdonald, Sigal Gottlieb, Steven J. Ruuth
A Numerical Study of Diagonally Split Runge-Kutta Methods for PDEs with Discontinuities. J. Sci. Comput. 36 (1) (2008)
Steven J. Ruuth, Barry Merriman
A simple embedding method for solving partial differential equations on surfaces. J. Comput. Phys. 227 (3) (2008)
Colin B. Macdonald, Steven J. Ruuth
Level Set Equations on Surfaces via the Closest Point Method. J. Sci. Comput. 35 (2-3) (2008)
Alexander Bass, Seth Putterman, Barry Merriman, Steven J. Ruuth
Symmetry reduction for molecular dynamics simulation of an imploding gas bubble. J. Comput. Phys. 227 (3) (2008)
Barry Merriman, Steven J. Ruuth
Diffusion generated motion of curves on surfaces. J. Comput. Phys. 225 (2) (2007)
Willem Hundsdorfer, Steven J. Ruuth
IMEX extensions of linear multistep methods with general monotonicity and boundedness properties. J. Comput. Phys. 225 (2) (2007)
Steven J. Ruuth
Global optimization of explicit strong-stability-preserving Runge-Kutta methods. Math. Comput. 75 (253) (2006)
Willem Hundsdorfer, Steven J. Ruuth
On monotonicity and boundedness properties of linear multistep methods. Math. Comput. 75 (254) (2006)
Sigal Gottlieb, Steven J. Ruuth
Optimal Strong-Stability-Preserving Time-Stepping Schemes with Fast Downwind Spatial Discretizations. J. Sci. Comput. 27 (1-3) (2006)
Sigal Gottlieb, Julia S. Mullen, Steven J. Ruuth
A Fifth Order Flux Implicit WENO Method. J. Sci. Comput. 27 (1-3) (2006)
Selim Esedoglu, Steven J. Ruuth, Yen-Hsi Richard Tsai
Threshold dynamics for shape reconstruction and disocclusion. ICIP (2) (2005)
Steven J. Ruuth, Raymond J. Spiteri
High-Order Strong-Stability-Preserving Runge-Kutta Methods with Downwind-Biased Spatial Discretizations. SIAM J. Numer. Anal. 42 (3) (2004)
Willem Hundsdorfer, Steven J. Ruuth, Raymond J. Spiteri
Monotonicity-Preserving Linear Multistep Methods. SIAM J. Numer. Anal. 41 (2) (2003)
Steven J. Ruuth, Brian T. R. Wetton
A Simple Scheme for Volume-Preserving Motion by Mean Curvature. J. Sci. Comput. 19 (1-3) (2003)
Raymond J. Spiteri, Steven J. Ruuth
Non-linear evolution using optimal fourth-order strong-stability-preserving Runge-Kutta methods. Math. Comput. Simul. 62 (1-2) (2003)
Steven J. Ruuth, Raymond J. Spiteri
Two Barriers on Strong-Stability-Preserving Time Discretization Methods. J. Sci. Comput. 17 (1-4) (2002)
Raymond J. Spiteri, Steven J. Ruuth
A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods. SIAM J. Numer. Anal. 40 (2) (2002)
Steven J. Ruuth, Barry Merriman, Jack Xin, Stanley J. Osher
Diffusion-Generated Motion by Mean Curvature for Filaments. J. Nonlinear Sci. 11 (6) (2001)
Barry Merriman, Steven J. Ruuth
Convolution-Generated Motion and Generalized Huygens' Principles for Interface Motion. SIAM J. Appl. Math. 60 (3) (2000)