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Author ID: ruuth.steven-j Recent zbMATH articles by "Ruuth, Steven J."
Published as: Ruuth, Steven J.; Ruuth, S. J.; Ruuth, Steven
Homepage: https://steveruuth.org/
External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp
Documents Indexed: 49 Publications since 1995
Co-Authors: 31 Co-Authors with 43 Joint Publications
838 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 2,097 times in 1,319 Documents Cited by Year
Implicit-explicit methods for time-dependent partial differential equations. Zbl 0841.65081
Ascher, Uri M.; Ruuth, Steven J.; Wetton, Brian T. R.
395
1995
Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations. Zbl 0896.65061
Ascher, Uri M.; Ruuth, Steven J.; Spiteri, Raymond J.
388
1997
A new class of optimal high-order strong-stability-preserving time discretization methods. Zbl 1020.65064
Spiteri, Raymond J.; Ruuth, Steven J.
234
2002
Implicit-explicit methods for reaction-diffusion problems in pattern formation. Zbl 0835.92006
Ruuth, Steven J.
101
1995
A simple embedding method for solving partial differential equations on surfaces. Zbl 1134.65058
Ruuth, Steven J.; Merriman, Barry
97
2008
IMEX extensions of linear multistep methods with general monotonicity and boundedness properties. Zbl 1123.65068
Hundsdorfer, Willem; Ruuth, Steven J.
87
2007
The implicit closest point method for the numerical solution of partial differential equations on surfaces. Zbl 1205.65238
MacDonald, Colin B.; Ruuth, Steven J.
67
2009
Global optimization of explicit strong-stability-preserving Runge-Kutta methods. Zbl 1080.65088
Ruuth, Steven J.
53
2006
Monotonicity-preserving linear multistep methods. Zbl 1050.65070
Hundsdorfer, Willem; Ruuth, Steven J.; Spiteri, Raymond J.
50
2003
Efficient algorithms for diffusion-generated motion by mean curvature. Zbl 0946.65093
Ruuth, Steven J.
43
1998
Level set equations on surfaces via the closest point method. Zbl 1203.65143
Macdonald, Colin B.; Ruuth, Steven J.
40
2008
High-order linear multistep methods with general monotonicity and boundedness properties. Zbl 1074.65085
Ruuth, Steven J.; Hundsdorfer, Willem
40
2005
Two barriers on strong-stability-preserving time discretization methods. Zbl 1003.65107
Ruuth, Steven J.; Spiteri, Raymond J.
35
2002
Non-linear evolution using optimal fourth-order strong-stability-preserving Runge-Kutta methods. Zbl 1015.65031
Spiteri, Raymond J.; Ruuth, Steven J.
35
2003
A diffusion-generated approach to multiphase motion. Zbl 0929.76101
Ruuth, Steven J.
30
1998
High-order strong-stability-preserving Runge-Kutta methods with downwind-biased spatial discretizations. Zbl 1089.65069
Ruuth, Steven J.; Spiteri, Raymond J.
26
2004
A simple scheme for volume-preserving motion by mean curvature. Zbl 1035.65097
Ruuth, Steven J.; Wetton, Brian T. R.
26
2003
On monotonicity and boundedness properties of linear multistep methods. Zbl 1092.65059
Hundsdorfer, Willem; Ruuth, Steven J.
25
2006
The stability of localized spot patterns for the Brusselator on the sphere. Zbl 1302.35033
Rozada, Ignacio; Ruuth, Steven J.; Ward, M. J.
24
2014
Solving eigenvalue problems on curved surfaces using the closest point method. Zbl 1231.65205
Macdonald, Colin B.; Brandman, Jeremy; Ruuth, Steven J.
24
2011
Simple computation of reaction-diffusion processes on point clouds. Zbl 1292.65093
Macdonald, Colin B.; Merriman, Barry; Ruuth, Steven J.
23
2013
Threshold dynamics for high order geometric motions. Zbl 1157.65330
Esedoḡlu, Selim; Ruuth, Steven J.; Tsai, Richard
23
2008
Optimal strong-stability-preserving time-stepping schemes with fast downwind spatial discretizations. Zbl 1115.65092
Gottlieb, Sigal; Ruuth, Steven J.
19
2006
Convolution-generated motion and generalized Huygens’ principles for interface motion. Zbl 0958.65021
Ruuth, Steven J.; Merriman, Barry
18
2000
Diffusion-generated motion by mean curvature for filaments. Zbl 1037.35033
Ruuth, S. J.; Merriman, B.; Xin, J.; Osher, S.
18
2001
A fixed grid method for capturing the motion of self-intersecting wavefronts and related PDEs. Zbl 0963.65097
Ruuth, Steven J.; Merriman, Barry; Osher, Stanley
17
2000
Diffusion generated motion using signed distance functions. Zbl 1181.65031
Esedoglu, Selim; Ruuth, Steven; Tsai, Richard
17
2010
Spatially partitioned embedded Runge-Kutta methods. Zbl 1285.65061
Ketcheson, David I.; Macdonald, Colin B.; Ruuth, Steven J.
16
2013
Variable step-size implicit-explicit linear multistep methods for time-dependent partial differential equations. Zbl 1174.65037
Wang, Dong; Ruuth, Steven J.
16
2008
A fifth-order flux-implicit WENO method. Zbl 1107.76051
Gottlieb, Sigal; Mullen, Julia S.; Ruuth, Steven J.
15
2006
An RBF-FD closest point method for solving PDEs on surfaces. Zbl 1395.65029
Petras, A.; Ling, L.; Ruuth, S. J.
13
2018
Diffusion generated motion of curves on surfaces. Zbl 1123.65011
Merriman, Barry; Ruuth, Steven J.
13
2007
Convolution-thresholding methods for interface motion. Zbl 0988.65094
Ruuth, Steven J.; Merriman, Barry
11
2001
On the linear stability of the fifth-order WENO discretization. Zbl 1217.65180
Motamed, Mohammad; Macdonald, Colin B.; Ruuth, Steven J.
10
2011
PDEs on moving surfaces via the closest point method and a modified grid based particle method. Zbl 1351.76247
Petras, A.; Ruuth, S. J.
10
2016
A numerical study of diagonally split Runge-Kutta methods for PDEs with discontinuities. Zbl 1203.65167
Macdonald, Colin B.; Gottlieb, Sigal; Ruuth, Steven J.
8
2008
Convolution-generated motion as a link between cellular automata and continuum pattern dynamics. Zbl 0938.68058
Ruuth, Steven J.; Merriman, Barry; Osher, Stanley
8
1999
A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces. Zbl 1451.65110
Petras, A.; Ling, L.; Piret, C.; Ruuth, S. J.
7
2019
A localized meshless method for diffusion on folded surfaces. Zbl 1349.65508
Cheung, Ka Chun; Ling, Leevan; Ruuth, Steven J.
5
2015
An algorithm for generating motion by mean curvature. Zbl 0854.65085
Ruuth, Steven J.
4
1996
An embedding technique for the solution of reaction-diffusion equations on algebraic surfaces with isolated singularities. Zbl 1335.65084
März, Thomas; Rockstroh, Parousia; Ruuth, Steven J.
3
2016
Solving variational problems and partial differential equations that map between manifolds via the closest point method. Zbl 1375.35586
King, Nathan D.; Ruuth, Steven J.
1
2017
Symmetry reduction for molecular dynamics simulation of an imploding gas bubble. Zbl 1136.76039
Bass, Alexander; Putterman, Seth; Merriman, Barry; Ruuth, Steven J.
1
2008
Boundary treatment of high order Runge-Kutta methods for hyperbolic conservation laws. Zbl 07508349
Zhao, Weifeng; Huang, Juntao; Ruuth, Steven J.
1
2020
Boundary treatment of high order Runge-Kutta methods for hyperbolic conservation laws. Zbl 07508349
Zhao, Weifeng; Huang, Juntao; Ruuth, Steven J.
1
2020
A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces. Zbl 1451.65110
Petras, A.; Ling, L.; Piret, C.; Ruuth, S. J.
7
2019
An RBF-FD closest point method for solving PDEs on surfaces. Zbl 1395.65029
Petras, A.; Ling, L.; Ruuth, S. J.
13
2018
Solving variational problems and partial differential equations that map between manifolds via the closest point method. Zbl 1375.35586
King, Nathan D.; Ruuth, Steven J.
1
2017
PDEs on moving surfaces via the closest point method and a modified grid based particle method. Zbl 1351.76247
Petras, A.; Ruuth, S. J.
10
2016
An embedding technique for the solution of reaction-diffusion equations on algebraic surfaces with isolated singularities. Zbl 1335.65084
März, Thomas; Rockstroh, Parousia; Ruuth, Steven J.
3
2016
A localized meshless method for diffusion on folded surfaces. Zbl 1349.65508
Cheung, Ka Chun; Ling, Leevan; Ruuth, Steven J.
5
2015
The stability of localized spot patterns for the Brusselator on the sphere. Zbl 1302.35033
Rozada, Ignacio; Ruuth, Steven J.; Ward, M. J.
24
2014
Simple computation of reaction-diffusion processes on point clouds. Zbl 1292.65093
Macdonald, Colin B.; Merriman, Barry; Ruuth, Steven J.
23
2013
Spatially partitioned embedded Runge-Kutta methods. Zbl 1285.65061
Ketcheson, David I.; Macdonald, Colin B.; Ruuth, Steven J.
16
2013
Solving eigenvalue problems on curved surfaces using the closest point method. Zbl 1231.65205
Macdonald, Colin B.; Brandman, Jeremy; Ruuth, Steven J.
24
2011
On the linear stability of the fifth-order WENO discretization. Zbl 1217.65180
Motamed, Mohammad; Macdonald, Colin B.; Ruuth, Steven J.
10
2011
Diffusion generated motion using signed distance functions. Zbl 1181.65031
Esedoglu, Selim; Ruuth, Steven; Tsai, Richard
17
2010
The implicit closest point method for the numerical solution of partial differential equations on surfaces. Zbl 1205.65238
MacDonald, Colin B.; Ruuth, Steven J.
67
2009
A simple embedding method for solving partial differential equations on surfaces. Zbl 1134.65058
Ruuth, Steven J.; Merriman, Barry
97
2008
Level set equations on surfaces via the closest point method. Zbl 1203.65143
Macdonald, Colin B.; Ruuth, Steven J.
40
2008
Threshold dynamics for high order geometric motions. Zbl 1157.65330
Esedoḡlu, Selim; Ruuth, Steven J.; Tsai, Richard
23
2008
Variable step-size implicit-explicit linear multistep methods for time-dependent partial differential equations. Zbl 1174.65037
Wang, Dong; Ruuth, Steven J.
16
2008
A numerical study of diagonally split Runge-Kutta methods for PDEs with discontinuities. Zbl 1203.65167
Macdonald, Colin B.; Gottlieb, Sigal; Ruuth, Steven J.
8
2008
Symmetry reduction for molecular dynamics simulation of an imploding gas bubble. Zbl 1136.76039
Bass, Alexander; Putterman, Seth; Merriman, Barry; Ruuth, Steven J.
1
2008
IMEX extensions of linear multistep methods with general monotonicity and boundedness properties. Zbl 1123.65068
Hundsdorfer, Willem; Ruuth, Steven J.
87
2007
Diffusion generated motion of curves on surfaces. Zbl 1123.65011
Merriman, Barry; Ruuth, Steven J.
13
2007
Global optimization of explicit strong-stability-preserving Runge-Kutta methods. Zbl 1080.65088
Ruuth, Steven J.
53
2006
On monotonicity and boundedness properties of linear multistep methods. Zbl 1092.65059
Hundsdorfer, Willem; Ruuth, Steven J.
25
2006
Optimal strong-stability-preserving time-stepping schemes with fast downwind spatial discretizations. Zbl 1115.65092
Gottlieb, Sigal; Ruuth, Steven J.
19
2006
A fifth-order flux-implicit WENO method. Zbl 1107.76051
Gottlieb, Sigal; Mullen, Julia S.; Ruuth, Steven J.
15
2006
High-order linear multistep methods with general monotonicity and boundedness properties. Zbl 1074.65085
Ruuth, Steven J.; Hundsdorfer, Willem
40
2005
High-order strong-stability-preserving Runge-Kutta methods with downwind-biased spatial discretizations. Zbl 1089.65069
Ruuth, Steven J.; Spiteri, Raymond J.
26
2004
Monotonicity-preserving linear multistep methods. Zbl 1050.65070
Hundsdorfer, Willem; Ruuth, Steven J.; Spiteri, Raymond J.
50
2003
Non-linear evolution using optimal fourth-order strong-stability-preserving Runge-Kutta methods. Zbl 1015.65031
Spiteri, Raymond J.; Ruuth, Steven J.
35
2003
A simple scheme for volume-preserving motion by mean curvature. Zbl 1035.65097
Ruuth, Steven J.; Wetton, Brian T. R.
26
2003
A new class of optimal high-order strong-stability-preserving time discretization methods. Zbl 1020.65064
Spiteri, Raymond J.; Ruuth, Steven J.
234
2002
Two barriers on strong-stability-preserving time discretization methods. Zbl 1003.65107
Ruuth, Steven J.; Spiteri, Raymond J.
35
2002
Diffusion-generated motion by mean curvature for filaments. Zbl 1037.35033
Ruuth, S. J.; Merriman, B.; Xin, J.; Osher, S.
18
2001
Convolution-thresholding methods for interface motion. Zbl 0988.65094
Ruuth, Steven J.; Merriman, Barry
11
2001
Convolution-generated motion and generalized Huygens’ principles for interface motion. Zbl 0958.65021
Ruuth, Steven J.; Merriman, Barry
18
2000
A fixed grid method for capturing the motion of self-intersecting wavefronts and related PDEs. Zbl 0963.65097
Ruuth, Steven J.; Merriman, Barry; Osher, Stanley
17
2000
Convolution-generated motion as a link between cellular automata and continuum pattern dynamics. Zbl 0938.68058
Ruuth, Steven J.; Merriman, Barry; Osher, Stanley
8
1999
Efficient algorithms for diffusion-generated motion by mean curvature. Zbl 0946.65093
Ruuth, Steven J.
43
1998
A diffusion-generated approach to multiphase motion. Zbl 0929.76101
Ruuth, Steven J.
30
1998
Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations. Zbl 0896.65061
Ascher, Uri M.; Ruuth, Steven J.; Spiteri, Raymond J.
388
1997
An algorithm for generating motion by mean curvature. Zbl 0854.65085
Ruuth, Steven J.
4
1996
Implicit-explicit methods for time-dependent partial differential equations. Zbl 0841.65081
Ascher, Uri M.; Ruuth, Steven J.; Wetton, Brian T. R.
395
1995
Implicit-explicit methods for reaction-diffusion problems in pattern formation. Zbl 0835.92006
Ruuth, Steven J.
101
1995
all top 5

Cited by 1,951 Authors

30 Ruuth, Steven J.
19 Shu, Chi-Wang
17 Hundsdorfer, Willem H.
16 Liang, Chunlei
16 Pareschi, Lorenzo
16 Sandu, Adrian
16 Ward, Michael J.
15 Ketcheson, David I.
15 Tsai, Yen-Hsi Richard
14 Jackiewicz, Zdzislaw
13 Higueras, Inmaculada
13 Kim, Junseok
12 Esedoglu, Selim
12 Gottlieb, Sigal
12 Ling, Leevan
12 Madzvamuse, Anotida
12 Russo, Giovanni
11 Balsara, Dinshaw S.
11 Boscheri, Walter
11 Ceniceros, Hector D.
11 Dimarco, Giacomo
11 Drikakis, Dimitris
11 Mulet, Pep
11 Schütz, Jochen
11 Spiteri, Raymond J.
10 Boscarino, Sebastiano
10 Lee, Hyun Geun
10 Minion, Michael L.
9 Izzo, Giuseppe
9 Osting, Braxton
9 Shankar, Varun
8 Bürger, Raimund
8 Dehghan Takht Fooladi, Mehdi
8 Giraldo, Francis X.
8 Grant, Zachary J.
8 Khaliq, Abdul Q. M.
8 Kropinski, Mary Catherine A.
8 Mittal, Ramesh Chand
8 Qiu, Jingmei
8 Wei, Juncheng
8 Yang, Junxiang
8 Zhang, Qiang
7 Abdi, Ali
7 Biros, George
7 Feng, Xinlong
7 Jameson, Antony
7 Kim, Chongam
7 Kubatko, Ethan J.
7 Kurganov, Alexander
7 Macdonald, Colin B.
7 Osher, Stanley Joel
7 Spijker, Marc N.
7 Wang, Haijin
7 Wang, Zhijian
7 Xiong, Tao
7 Youngs, David L.
7 Zhang, Hong
7 Zhang, Yongtao
6 Abedian, Rooholah
6 Alauzet, Frédéric
6 Ambrose, David M.
6 Cheng, Li-Tien
6 Chertock, Alina E.
6 Dawson, Clint N.
6 Hou, Thomas Yizhao
6 Jeong, Darae
6 Kadioglu, Samet Y.
6 Kaiser, Klaus Hermann
6 Layton, William J.
6 Leung, Shingyu
6 Li, Yibao
6 Lóczi, Lajos
6 Merriman, Barry
6 Owolabi, Kolade Matthew
6 Puppo, Gabriella
6 Quaife, Bryan D.
6 Roldán, Teo
6 Seal, David C.
6 Shadid, John N.
6 Shin, Jaemin
6 Tzou, Justin C.
6 Wright, Grady B.
6 Xiao, Aiguo
5 Bernard, Florian
5 Bonaventura, Luca
5 Cardone, Angelamaria
5 Carpenter, Mark H.
5 Constantinescu, Emil M.
5 Donat, Rosa
5 Garain, Sudip K.
5 Iollo, Angelo
5 Klar, Axel
5 Koch, Othmar
5 Lee, June-Yub
5 Li, Fengyan
5 Lukáčová-Medvid’ová, Mária
5 Moradi, Afsaneh
5 Nigro, Alessandra
5 Noelle, Sebastian
5 Rahimian, Abtin
...and 1,851 more Authors
all top 5

Cited in 169 Serials

312 Journal of Computational Physics
129 Journal of Scientific Computing
81 Applied Numerical Mathematics
59 Journal of Computational and Applied Mathematics
53 Computers and Fluids
39 Applied Mathematics and Computation
39 SIAM Journal on Scientific Computing
37 Computers & Mathematics with Applications
32 Computer Methods in Applied Mechanics and Engineering
30 Mathematics of Computation
22 SIAM Journal on Numerical Analysis
14 Journal of Fluid Mechanics
14 Numerische Mathematik
14 Communications in Computational Physics
12 International Journal of Computer Mathematics
11 Advances in Computational Mathematics
10 Mathematics and Computers in Simulation
10 Numerical Algorithms
8 Physica D
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Applied Mathematical Modelling
8 Communications in Nonlinear Science and Numerical Simulation
8 Discrete and Continuous Dynamical Systems. Series B
8 SIAM Journal on Applied Dynamical Systems
7 International Journal for Numerical Methods in Engineering
7 Numerical Methods for Partial Differential Equations
7 Multiscale Modeling & Simulation
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Mathematical Methods in the Applied Sciences
6 BIT
6 Applied Mathematics Letters
6 European Journal of Applied Mathematics
6 Computational and Applied Mathematics
6 International Journal of Computational Fluid Dynamics
6 Communications on Applied Mathematics and Computation
5 Journal of Mathematical Analysis and Applications
5 Journal of Mathematical Biology
5 Bulletin of Mathematical Biology
5 SIAM Journal on Applied Mathematics
5 Journal of Mathematical Imaging and Vision
5 Journal of Nonlinear Science
5 European Journal of Mechanics. B. Fluids
5 Computational Geosciences
5 Mathematical Modelling and Analysis
5 International Journal of Computational Methods
5 International Journal of Applied and Computational Mathematics
4 Computer Physics Communications
4 International Journal for Numerical Methods in Fluids
4 Physics of Fluids
4 Engineering Analysis with Boundary Elements
4 Matematicheskoe Modelirovanie
4 SIAM Journal on Imaging Sciences
4 Discrete and Continuous Dynamical Systems. Series S
4 Research in the Mathematical Sciences
3 Wave Motion
3 Quarterly of Applied Mathematics
3 Computational Mathematics and Mathematical Physics
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Discrete and Continuous Dynamical Systems
3 Computing and Visualization in Science
3 Chaos
3 International Journal of Nonlinear Sciences and Numerical Simulation
3 Journal of Turbulence
3 Computational Methods in Applied Mathematics
3 Communications on Pure and Applied Analysis
3 International Journal of Numerical Analysis and Modeling
3 Mathematical Biosciences and Engineering
3 Inverse Problems and Imaging
3 Advances in Applied Mathematics and Mechanics
2 Journal of Engineering Mathematics
2 Journal of the Mechanics and Physics of Solids
2 Nonlinearity
2 Chaos, Solitons and Fractals
2 Calcolo
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Bulletin of the Iranian Mathematical Society
2 Japan Journal of Industrial and Applied Mathematics
2 European Journal of Operational Research
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Proceedings of the National Academy of Sciences of the United States of America
2 Calculus of Variations and Partial Differential Equations
2 Applied and Computational Harmonic Analysis
2 International Journal of Computer Vision
2 Mathematical Problems in Engineering
2 Combustion Theory and Modelling
2 The ANZIAM Journal
2 Milan Journal of Mathematics
2 Acta Numerica
2 Communications in Applied Mathematics and Computational Science
2 Kinetic and Related Models
2 International Journal of Differential Equations
2 Science China. Mathematics
2 Journal of the Korean Society for Industrial and Applied Mathematics
2 Communications in Applied and Industrial Mathematics
2 Mathematical Sciences
2 Journal of Computational Dynamics
2 East Asian Journal on Applied Mathematics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 SMAI Journal of Computational Mathematics
1 Applicable Analysis
...and 69 more Serials
all top 5

Cited in 40 Fields

1,000 Numerical analysis (65-XX)
559 Partial differential equations (35-XX)
495 Fluid mechanics (76-XX)
109 Biology and other natural sciences (92-XX)
73 Ordinary differential equations (34-XX)
52 Statistical mechanics, structure of matter (82-XX)
49 Mechanics of deformable solids (74-XX)
44 Geophysics (86-XX)
34 Calculus of variations and optimal control; optimization (49-XX)
29 Computer science (68-XX)
29 Optics, electromagnetic theory (78-XX)
25 Global analysis, analysis on manifolds (58-XX)
24 Classical thermodynamics, heat transfer (80-XX)
21 Differential geometry (53-XX)
18 Dynamical systems and ergodic theory (37-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Approximations and expansions (41-XX)
14 Information and communication theory, circuits (94-XX)
13 Integral equations (45-XX)
10 Probability theory and stochastic processes (60-XX)
10 Operations research, mathematical programming (90-XX)
8 Systems theory; control (93-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
6 Real functions (26-XX)
6 Statistics (62-XX)
5 Astronomy and astrophysics (85-XX)
4 Mechanics of particles and systems (70-XX)
3 Combinatorics (05-XX)
3 Potential theory (31-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Quantum theory (81-XX)
2 Difference and functional equations (39-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year