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All published works
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Title
Year
Authors
+
Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms
2024
Lele Liu Lele Liu
Hong Zhang Hong Zhang
Xu Qian Xu Qian
Songhe Song
+
Solving Nonlinear Delay-Differential-Algebraic Equations with Singular Perturbation Via Block Boundary Value Methods
2023
Xiaoqiang Yan
Xu Qian Xu Qian
Hong Zhang Hong Zhang
Songhe Song
Xiujun Cheng
+
PDF
Chat
Unconditionally Maximum-Principle-Preserving Parametric Integrating Factor Two-Step Runge-Kutta Schemes for Parabolic Sine-Gordon Equations
2023
Hong Zhang Hong Zhang
Xu Qian Xu Qian
Jun Xia
Songhe Song
+
PDF
Chat
Regularised Finite Difference Methods for the Logarithmic Klein-Gordon Equation
2020
Jingye Yan
Hong Zhang Hong Zhang
Xu Qian Xu Qian
Songhe Song
Common Coauthors
Coauthor
Papers Together
Songhe Song
4
Xu Qian Xu Qian
4
Jingye Yan
1
Xiaoqiang Yan
1
Lele Liu Lele Liu
1
Jun Xia
1
Xiujun Cheng
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations
2011
Sigal Gottlieb
David I. Ketcheson
ChiâWang Shu
1
+
PDF
Chat
The cauchy problem for non-linear Klein-Gordon equations
1993
Jacques Simon
Erik Taflin
1
+
Gaussian solitary wave solutions for nonlinear evolution equations with logarithmic nonlinearities
2015
AbdulâMajid Wazwaz
1
+
An Exponential Wave Integrator Sine Pseudospectral Method for the Klein--Gordon--Zakharov System
2013
Weizhu Bao
Xuanchun Dong
Xiaofei Zhao
1
+
A high-order conservative Patankar-type discretisation for stiff systems of productionâdestruction equations
2003
Hans Burchard
Ăric Deleersnijder
Andreas Meister
1
+
Analysis of Four Numerical Schemes for a Nonlinear Klein-Gordon Equation
1990
Salvador JimĂŠnez
Luis VĂĄzquez
1
+
A General Class of Two-Step RungeâKutta Methods for Ordinary Differential Equations
1995
Z. Jackiewicz
S. Tracogna
1
+
Nonexistence of global solutions of the initial-boundary value problem for the nonlinear KleinâGordon equation
1995
Đ. Đ. ĐаКнОв
Emil Minchev
1
+
Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants
1967
J. D. Lawson
1
+
PDF
Chat
Q-balls and baryogenesis in the MSSM
1998
Kari Enqvist
J. McDonald
1
+
One-dimensional KleinâGordon equation with logarithmic nonlinearities
2008
Konrad Bartkowski
PrzemysĹaw GĂłrka
1
+
PDF
Chat
Step Sizes for Strong Stability Preservation with Downwind-Biased Operators
2011
David I. Ketcheson
1
+
Strong stability preserving hybrid methods
2008
Chengming Huang
1
+
Positivity-preserving Lagrangian scheme for multi-material compressible flow
2013
Juan Cheng
ChiâWang Shu
1
+
Global classical solutions of nonlinear wave equations
1981
Philip Brenner
Wolf von Wahl
1
+
The nonrelativistic limit of the nonlinear Klein-Gordon equation
1990
Branko Najman
1
+
Nonlocal reactionâdiffusion equations and nucleation
1992
Jacob Rubinstein
Peter Sternberg
1
+
On monotonicity and boundedness properties of linear multistep methods
2005
Willem Hundsdorfer
Steven J. Ruuth
1
+
Analysis and Applications of the Exponential Time Differencing Schemes and Their Contour Integration Modifications
2005
Qiang Du
WenâXiang Zhu
1
+
PDF
Chat
The Dynamical Sine-Gordon Model
2015
Martin Hairer
Hao Shen
1
+
Exponential Time Differencing for Stiff Systems
2002
Stephen M. Cox
P. C. Matthews
1
+
PDF
Chat
Asymptotic preserving schemes for the KleinâGordon equation in the non-relativistic limit regime
2013
Erwan Faou
Katharina Schratz
1
+
Contractivity of Runge-Kutta methods
1991
J. F. B. M. Kraaijevanger
1
+
The unit condition and global existence for a class of nonlinear Klein-Gordon equations
1992
Roman Kosecki
1
+
Analysis and comparison of numerical methods for the KleinâGordon equation in the nonrelativistic limit regime
2011
Weizhu Bao
Xuanchun Dong
1
+
PDF
Chat
Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation
2012
Weizhu Bao
Yongyong Cai
1
+
Sympletic Finite Difference Approximations of the Nonlinear Klein--Gordon Equation
1997
Dugald B. Duncan
1
+
Global solutions for a semilinear, two-dimensional Klein-Gordon equation with exponential-type nonlinearity
2006
Slim Ibrahim
Mohamed Majdoub
Nader Masmoudi
1
+
PDF
Chat
Inflationary models with logarithmic potentials
1995
John D. Barrow
Paul Parsons
1
+
Fourier Collocation Method for Solving Nonlinear Klein-Gordon Equation
1993
Weiming Cao
Benâyu Guo
1
+
Strong Stability-Preserving High-Order Time Discretization Methods
2001
Sigal Gottlieb
ChiâWang Shu
Eitan Tadmor
1
+
PDF
Chat
Strong Stability Preserving Two-step RungeâKutta Methods
2011
David I. Ketcheson
Sigal Gottlieb
Colin B. Macdonald
1
+
General Linear Methods for Ordinary Differential Equations
2009
Z. Jackiewicz
1
+
PDF
Chat
Unconditionally Strong Stability Preserving Extensions of the TR-BDF2 Method
2016
Luca Bonaventura
Alessandro Della Rocca
1
+
A uniformly accurate multiscale time integrator spectral method for the KleinâGordonâZakharov system in the high-plasma-frequency limit regime
2016
Weizhu Bao
Xiaofei Zhao
1
+
PDF
Chat
Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
2016
Xiaofeng Yang
1
+
Maximum-Principle-Satisfying and Positivity-Preserving High Order Central Discontinuous Galerkin Methods for Hyperbolic Conservation Laws
2016
Maojun Li
Fengyan Li
Zhen Li
Liwei Xu
1
+
PDF
Chat
Linearly Stabilized Schemes for the Time Integration of Stiff Nonlinear PDEs
2021
K. Victor Chow
Steven J. Ruuth
1
+
Bound-preserving modified exponential RungeâKutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms
2018
Juntao Huang
ChiâWang Shu
1
+
The dynamical sine-Gordon model in the full subcritical regime
2018
Ajay Chandra
Martin Hairer
Hao Shen
1
+
Analysis of Fully Discrete Approximations for Dissipative Systems and Application to Time-Dependent Nonlocal Diffusion Problems
2018
Qiang Du
Lili Ju
Jianfang Lu
1
+
PDF
Chat
Positivity Preserving Limiters for Time-Implicit Higher Order Accurate Discontinuous Galerkin Discretizations
2019
J.J.W. van der Vegt
Yinhua Xia
Yan Xu
1
+
PDF
Chat
Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
2019
Qiang Du
Lili Ju
Xiao Li
Zhonghua Qiao
1
+
PDF
Chat
Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime
2019
Weizhu Bao
Xiaofei Zhao
1
+
Third-order conservative sign-preserving and steady-state-preserving time integrations and applications in stiff multispecies and multireaction detonations
2019
Jie Du
Yang Yang
1
+
On the stability and accuracy of partially and fully implicit schemes for phase field modeling
2018
Jinchao Xu
Yukun Li
Shuonan Wu
Arthur Bousquet
1
+
A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
2019
Jie Shen
Jie Xu
Jiang Yang
1
+
Strong Stability Preserving Integrating Factor Two-Step RungeâKutta Methods
2019
Leah Isherwood
Zachary J. Grant
Sigal Gottlieb
1
+
PDF
Chat
Arbitrarily high-order linear energy stable schemes for gradient flow models
2020
Yuezheng Gong
Jia Zhao
Qi Wang
1
+
Orbital stability of periodic standing waves for the logarithmic Klein-Gordon equation
2019
FĂĄbio Natali
Eleomar Cardoso
1