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Rui Zhan
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All published works
Action
Title
Year
Authors
+
Stability analysis of explicit exponential Rosenbrock methods for stiff differential equations with constant delay
2024
Rui Zhan
Jinwei Fang
+
Convergence analysis of highāorder exponential Rosenbrock methods for nonlinear stiff delay differential equations
2023
Rui Zhan
Jinwei Fang
+
The general tensor regular splitting iterative method for multilinear PageRank problem
2023
Shuting Tang
Xiuqin Deng
Rui Zhan
+
PDF
Chat
Analysis of Exponential RungeāKutta Methods for Differential Equations with Time Delay
2022
Rui Zhan
+
PDF
Chat
Exponential Multistep Methods for Stiff Delay Differential Equations
2022
Rui Zhan
Weihong Chen
Xinji Chen
Runjie Zhang
+
High order explicit exponential RungeāKutta methods for semilinear delay differential equations
2020
Jinwei Fang
Rui Zhan
+
Explicit exponential RungeāKutta methods for semilinear parabolic delay differential equations
2020
Jingjun Zhao
Rui Zhan
Yang Xu
+
The analysis of operator splitting for the Gardner equation
2019
Jingjun Zhao
Rui Zhan
Yang Xu
+
D-convergence and conditional GDN-stability of exponential RungeāKutta methods for semilinear delay differential equations
2018
Jingjun Zhao
Rui Zhan
Yang Xu
+
The analysis of operator splitting methods for the CamassaāHolm equation
2018
Rui Zhan
Jingjun Zhao
+
Stability analysis of explicit exponential integrators for delay differential equations
2016
Jingjun Zhao
Rui Zhan
Alexander Ostermann
Common Coauthors
Coauthor
Papers Together
Jingjun Zhao
4
Jinwei Fang
3
Yang Xu
3
Alexander Ostermann
1
Xinji Chen
1
Weihong Chen
1
Jingjun Zhao
1
Shuting Tang
1
Runjie Zhang
1
Xiuqin Deng
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
PDF
Chat
Exponential Rosenbrock-Type Methods
2009
Marlis Hochbruck
Alexander Ostermann
Julia Schweitzer
8
+
PDF
Chat
Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
2005
Marlis Hochbruck
Alexander Ostermann
7
+
A Class of Explicit Exponential General Linear Methods
2006
Alexander Ostermann
Mechthild Thalhammer
William M. D. Wright
7
+
Exponential Rosenbrock methods of order five ā construction, analysis and numerical comparisons
2013
VÅ© ThĆ”i LuĆ¢n
Alexander Ostermann
7
+
Numerical Methods for Delay Differential Equations
2003
Alfredo Bellen
Marino Zennaro
7
+
PDF
Chat
Exponential integrators
2010
Marlis Hochbruck
Alexander Ostermann
6
+
PDF
Chat
Exponential multistep methods of Adams-type
2011
Marlis Hochbruck
Alexander Ostermann
6
+
Parallel exponential Rosenbrock methods
2016
VÅ© ThĆ”i LuĆ¢n
Alexander Ostermann
6
+
PDF
Chat
Unconditional stability of explicit exponential Runge-Kutta methods for semi-linear ordinary differential equations
2008
Stefano Maset
Marino Zennaro
5
+
Stability properties of explicit exponential Runge-Kutta methods
2012
Stefano Maset
Marino Zennaro
5
+
Exponential B-Series: The Stiff Case
2013
VÅ© ThĆ”i LuĆ¢n
Alexander Ostermann
5
+
D-CONVERGENCE OF RUNGE-KUTTA METHODS FOR STIFF DELAY DIFFERENTIAL EQUATIONS
2001
ļ Huang
Fu
Hy
Li Li
Chen
Gn
5
+
Stability analysis of exponential RungeāKutta methods for delay differential equations
2011
Yang Xu
Jingjun Zhao
Zhenan Sui
4
+
Nonlinear stability and D-convergence of Runge-Kutta methods for delay differential equations
1997
Chengjian Zhang
Shuzi Zhou
4
+
High order explicit exponential RungeāKutta methods for semilinear delay differential equations
2020
Jinwei Fang
Rui Zhan
4
+
D-convergence and conditional GDN-stability of exponential RungeāKutta methods for semilinear delay differential equations
2018
Jingjun Zhao
Rui Zhan
Yang Xu
4
+
D-convergence and GDN-stability of RungeāKutta methods for a class of delay systems
2001
C. J. Zhang
Shuai Zhou
X.X. Liao
4
+
Theory and Applications of Partial Functional Differential Equations
1996
Jian Wu
4
+
Stability analysis of explicit exponential integrators for delay differential equations
2016
Jingjun Zhao
Rui Zhan
Alexander Ostermann
4
+
D-Convergence of general linear methods for stiff delay differential equations
2001
Chengming Huang
Guangnan Chen
Shoufu Li
FU Hong-yuan
4
+
PDF
Chat
Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
2003
C Moler
Charles Van Loan
4
+
A review of exponential integrators for first order semi-linear problems
2005
Borislav V. Minchev
Will M. Wright
4
+
Explicit exponential RungeāKutta methods of high order for parabolic problems
2013
VÅ© ThĆ”i LuĆ¢n
Alexander Ostermann
3
+
D-CONVERGENCE OF RUNGE-KUTTA METHODS FOR STIFF DELAY DIFFERENTIAL EQUATIONS
2001
Cheng Huang
Hong Yuan Fu
Shou Fu Li
Guang Nan Chen
3
+
Explicit exponential RungeāKutta methods for semilinear parabolic delay differential equations
2020
Jingjun Zhao
Rui Zhan
Yang Xu
3
+
D-CONVERGENCE OF ONE-LEG METHODS FOR STIFF DELAY DIFFERENTIAL EQUATIONS
2001
Chengming
Chengming Huang
Shou-fu
Li
Hongyuan
Fu
Guang-nan
Chen
3
+
Semigroups of Linear Operators and Applications to Partial Differential Equations
1983
A. Pazy
3
+
A class of explicit multistep exponential integrators for semilinear problems
2005
M. P. Calvo
C. Palencia
3
+
Exponential Taylor methods: Analysis and implementation
2012
Antti Koskela
Alexander Ostermann
3
+
Stability of numerical methods for delay differential equations
1989
Lucio Torelli
3
+
Solving Ordinary Differential Equations II: Stiff and Differential - Algebraic Problems
1991
Ernst Hairer
Gerhard Wanner
3
+
PDF
Chat
Exponential RungeāKutta methods for parabolic problems
2004
Marlis Hochbruck
Alexander Ostermann
3
+
Positivity of exponential RungeāKutta methods
2007
Alexander Ostermann
Marnix Van Daele
2
+
PDF
Chat
Operator splitting for partial differential equations with Burgers nonlinearity
2012
Helge Holden
Christian Lubich
Nils Henrik Risebro
2
+
PDF
Chat
Analysis of Exponential RungeāKutta Methods for Differential Equations with Time Delay
2022
Rui Zhan
2
+
Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations
2009
Ernst Hairer
Christian Lubich
Gerhard Wanner
2
+
PDF
Chat
Exponential Multistep Methods for Stiff Delay Differential Equations
2022
Rui Zhan
Weihong Chen
Xinji Chen
Runjie Zhang
2
+
Operator Splitting Methods for Generalized KortewegāDe Vries Equations
1999
Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
2
+
Stiff Order Conditions for Exponential RungeāKutta Methods of Order Five
2014
VÅ© ThĆ”i LuĆ¢n
Alexander Ostermann
2
+
The Concept of B-Convergence
1981
Reinhard Frank
J. Schneid
Christoph W. Ueberhuber
2
+
LDG method for reactionādiffusion dynamical systems with time delay
2011
Dongfang Li
Chengjian Zhang
Hongyu Qin
2
+
B-Theory of Runge-Kutta methods for stiff Volterra functional differential equations
2003
Shoufu Li
2
+
Good Behavior with Respect to the Stiffness in the Numerical Integration of Retarded Functional Differential Equations
2014
Stefano Maset
Marino Zennaro
2
+
PDF
Chat
Operator splitting for the KdV equation
2010
Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
Terence Tao
2
+
Implementing Radau IIA Methods for Stiff Delay Differential Equations
2001
Nicola Guglielmi
Ernst Hairer
2
+
Numerical modelling in biosciences using delay differential equations
2000
Gennady Bocharov
Fathalla A. Rihan
2
+
Solving Ordinary Differential Equations II
1996
Ernst Hairer
Gerhard Wanner
1
+
Software for the numerical solution of systems of functional differential equations with state-dependent delays
1992
Kenneth W. Neves
S. Thompson
1
+
Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space
2010
Wansheng Wang
Chengjian Zhang
1
+
Nonlinear stability of explicit and diagonally implicit RungeāKutta methods for neutral delay differential equations in Banach space
2007
Wansheng Wang
Liping Wen
Shoufu Li
1