Steven J. Ruuth

Orcid: 0000-0002-9557-3375

According to our database1, Steven J. Ruuth authored at least 45 papers between 2000 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Realistic Pattern Formations on Surfaces by Adding Arbitrary Roughness.
SIAM J. Appl. Math., 2024

A Meshfree Method for Eigenvalues of Differential Operators on Surfaces, Including Steklov Problems.
CoRR, 2024

Underdetermined Fourier Extensions for Partial Differential Equations on Surfaces.
CoRR, 2024

2023
A closest point method library for PDEs on surfaces with parallel domain decomposition solvers and preconditioners.
Numer. Algorithms, June, 2023

A Closest Point Method for Surface PDEs with Interior Boundary Conditions for Geometry Processing.
CoRR, 2023

Realistic pattern formations on rough surfaces.
CoRR, 2023

2022
Meshfree Semi-Lagrangian Methods for Solving Surface Advection PDEs.
J. Sci. Comput., 2022

2021
Linearly Stabilized Schemes for the Time Integration of Stiff Nonlinear PDEs.
J. Sci. Comput., 2021

A Convergence Analysis of the Parallel Schwarz Solution of the Continuous Closest Point Method.
CoRR, 2021

2020
Schwarz Solvers and Preconditioners for the Closest Point Method.
SIAM J. Sci. Comput., 2020

Boundary treatment of high order Runge-Kutta methods for hyperbolic conservation laws.
J. Comput. Phys., 2020

2019
A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces.
J. Comput. Phys., 2019

Additive Schwarz solvers and preconditioners for the closest point method.
CoRR, 2019

Domain Decomposition for the Closest Point Method.
CoRR, 2019

2018
An RBF-FD closest point method for solving PDEs on surfaces.
J. Comput. Phys., 2018

2017
Solving variational problems and partial differential equations that map between manifolds via the closest point method.
J. Comput. Phys., 2017

2016
PDEs on moving surfaces via the closest point method and a modified grid based particle method.
J. Comput. Phys., 2016

2015
A localized meshless method for diffusion on folded surfaces.
J. Comput. Phys., 2015

Laplace-Beltrami spectra for shape comparison of surfaces in 3D using the closest point method.
Proceedings of the 2015 IEEE International Conference on Image Processing, 2015

2014
The Stability of Localized Spot Patterns for the Brusselator on the Sphere.
SIAM J. Appl. Dyn. Syst., 2014

2013
Spatially Partitioned Embedded Runge-Kutta Methods.
SIAM J. Numer. Anal., 2013

2011
On the Linear Stability of the Fifth-Order WENO Discretization.
J. Sci. Comput., 2011

Solving eigenvalue problems on curved surfaces using the Closest Point Method.
J. Comput. Phys., 2011

2010
Diffusion generated motion using signed distance functions.
J. Comput. Phys., 2010

2009
The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces.
SIAM J. Sci. Comput., 2009

Segmentation on surfaces with the Closest Point Method.
Proceedings of the International Conference on Image Processing, 2009

2008
Level Set Equations on Surfaces via the Closest Point Method.
J. Sci. Comput., 2008

A Numerical Study of Diagonally Split Runge-Kutta Methods for PDEs with Discontinuities.
J. Sci. Comput., 2008

A simple embedding method for solving partial differential equations on surfaces.
J. Comput. Phys., 2008

Symmetry reduction for molecular dynamics simulation of an imploding gas bubble.
J. Comput. Phys., 2008

2007
Diffusion generated motion of curves on surfaces.
J. Comput. Phys., 2007

IMEX extensions of linear multistep methods with general monotonicity and boundedness properties.
J. Comput. Phys., 2007

2006
Global optimization of explicit strong-stability-preserving Runge-Kutta methods.
Math. Comput., 2006

On monotonicity and boundedness properties of linear multistep methods.
Math. Comput., 2006

Optimal Strong-Stability-Preserving Time-Stepping Schemes with Fast Downwind Spatial Discretizations.
J. Sci. Comput., 2006

A Fifth Order Flux Implicit WENO Method.
J. Sci. Comput., 2006

2005
Threshold dynamics for shape reconstruction and disocclusion.
Proceedings of the 2005 International Conference on Image Processing, 2005

2004
High-Order Strong-Stability-Preserving Runge-Kutta Methods with Downwind-Biased Spatial Discretizations.
SIAM J. Numer. Anal., 2004

2003
Monotonicity-Preserving Linear Multistep Methods.
SIAM J. Numer. Anal., 2003

Non-linear evolution using optimal fourth-order strong-stability-preserving Runge-Kutta methods.
Math. Comput. Simul., 2003

A Simple Scheme for Volume-Preserving Motion by Mean Curvature.
J. Sci. Comput., 2003

2002
A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods.
SIAM J. Numer. Anal., 2002

Two Barriers on Strong-Stability-Preserving Time Discretization Methods.
J. Sci. Comput., 2002

2001
Diffusion-Generated Motion by Mean Curvature for Filaments.
J. Nonlinear Sci., 2001

2000
Convolution-Generated Motion and Generalized Huygens' Principles for Interface Motion.
SIAM J. Appl. Math., 2000


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