Wenfan Yi

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All published works

Action	Title	Year	Authors
+	Improved Uniform Error Bounds on a Lawson-type Exponential Integrator Method for Long-Time Dynamics of the Nonlinear Double Sine-Gordon Equation	2024	Ling Zhang Huailing Song Wenfan Yi
+ PDF Chat	Nehari manifold optimization and its application for finding unstable solutions of semilinear elliptic PDEs	2024	Zhaoxing Chen Wei Liu Ziqing Xie Wenfan Yi
+	Improved Uniform Error Bounds on a Lawson-Type Exponential Integrator Method for Long-Time Dynamics of the Nonlinear Double Sine-Gordon Equation	2024	Ling Zhang Huailing Song Wenfan Yi
+ PDF Chat	Nonmonotone Local Minimax Methods for Finding Multiple Saddle Points	2023	Wei Liu Ziqing Xie null Wenfan Yi
+ PDF Chat	Normalized Wolfe-Powell-type local minimax method for finding multiple unstable solutions of nonlinear elliptic PDEs	2023	Wei Liu Ziqing Xie Wenfan Yi
+	A uniformly accurate method for the Klein-Gordon-Dirac system in the nonrelativistic regime	2023	Yongyong Cai Wenfan Yi
+	Normalized Goldstein-type local minimax method for finding multiple unstable solutions of semilinear elliptic PDEs	2021	Wei Liu Ziqing Xie Wenfan Yi
+ PDF Chat	Uniform Error Bounds of an Exponential Wave Integrator for the Long-Time Dynamics of the Nonlinear Klein--Gordon Equation	2021	Yue Feng Wenfan Yi
+	Normalized Wolfe-Powell-type local minimax method for finding multiple unstable solutions of nonlinear elliptic PDEs	2021	Wei Liu Ziqing Xie Wenfan Yi
+	Nonmonotone local minimax methods for finding multiple saddle points	2021	Wei Liu Ziqing Xie Wenfan Yi
+ PDF Chat	Uniform error bounds of an exponential wave integrator for the long-time dynamics of the nonlinear Klein-Gordon equation	2020	Yue Feng Wenfan Yi
+	Uniform error bounds of an exponential wave integrator for the long-time dynamics of the nonlinear Klein-Gordon equation	2020	Yue Feng Wenfan Yi
+	Optimal Resolution Methods for the Klein–Gordon–Dirac System in the Nonrelativistic Limit Regime	2019	Wenfan Yi Xinran Ruan Chunmei Su
+ PDF Chat	Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity	2019	Weizhu Bao Yue Feng Wenfan Yi
+	Optimal error estimates of finite difference time domain methods for the Klein–Gordon–Dirac system	2018	Wenfan Yi Yongyong Cai
+	Error estimates of finite difference time domain methods for the Klein–Gordon–Dirac system in the nonrelativistic limit regime	2018	Yongyong Cai Wenfan Yi
+	Ground States and Energy Asymptotics of the Nonlinear Schrodinger Equation with a General Power Nonlinearity	2018	Xinran Ruan Wenfan Yi
+	Error estimates of a finite difference method for the Klein–Gordon–Zakharov system in the subsonic limit regime	2017	Chunmei Su Wenfan Yi
+	An augmented singular transform and its partial Newton method for finding new solutions	2015	Ziqing Xie Wenfan Yi Jianxin Zhou
+	Application of the Infinite Element Method to Solution of the Fokker-Planck Equation	1996	Wenfan Yi S. F. Wojtkiewicz L. Bergman B. F. Spencer

Common Coauthors

Coauthor	Papers Together
Ziqing Xie	6
Wei Liu	6
Yue Feng	3
Yongyong Cai	3
Ling Zhang	2
Huailing Song	2
Xinran Ruan	2
Chunmei Su	2
Weizhu Bao	1
Jianxin Zhou	1
B. F. Spencer	1
Ziqing Xie null	1
S. F. Wojtkiewicz	1
L. Bergman	1
Zhaoxing Chen	1
Yue Feng	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime	2016	Weizhu Bao Yongyong Cai Xiaowei Jia Jia Yin	6
+ PDF Chat	Asymptotic preserving schemes for the Klein–Gordon equation in the non-relativistic limit regime	2013	Erwan Faou Katharina Schratz	6
+	Analysis and comparison of numerical methods for the Klein–Gordon equation in the nonrelativistic limit regime	2011	Weizhu Bao Xuanchun Dong	6
+ PDF Chat	A Minimax Method for Finding Multiple Critical Points and Its Applications to Semilinear PDEs	2001	Yongxin Li Jianxin Zhou	5
+ PDF Chat	A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Dirac Equation in the Nonrelativistic Limit Regime	2016	Weizhu Bao Yongyong Cai Xiaowei Jia Qinglin Tang	5
+	On Finding Multiple Solutions to a Singularly Perturbed Neumann Problem	2012	Ziqing Xie Yongjun Yuan Jianxin Zhou	5
+	Convergence Results of a Local Minimax Method for Finding Multiple Critical Points	2003	Yongxin Li Jianxin Zhou	5
+ PDF Chat	A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein--Gordon Equation in the Nonrelativistic Limit Regime	2014	Weizhu Bao Yongyong Cai Xiaofei Zhao	5
+	Long-time existence for semi-linear Klein–Gordon equations on tori	2010	Daoyuan Fang Qidi Zhang	5
+ PDF Chat	Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation	2012	Weizhu Bao Yongyong Cai	5
+ PDF Chat	String method for the study of rare events	2002	E Weinan Weiqing Ren Eric Vanden‐Eijnden	4
+	Optimization Theory and Methods: Nonlinear Programming	2010	Wenyu Sun Ya-xiang Yuan	4
+ PDF Chat	A Minimax Method for Finding Multiple Critical Points in Banach Spaces and Its Application to Quasi-linear Elliptic PDE	2005	Xudong Yao Jianxin Zhou	4
+	ALGORITHMS AND VISUALIZATION FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS	2000	Goong Chen Jianxin Zhou Wei‐Ming Ni	4
+ PDF Chat	Uniform and Optimal Error Estimates of an Exponential Wave Integrator Sine Pseudospectral Method for the Nonlinear Schrödinger Equation with Wave Operator	2014	Weizhu Bao Yongyong Cai	4
+	A mountain pass method for the numerical solution of semilinear elliptic problems	1993	Y. S. Choi Patrick McKenna	4
+	Uniformly accurate exponential-type integrators for Klein-Gordon equations with asymptotic convergence to the classical NLS splitting	2017	Simon Baumstark Erwan Faou Katharina Schratz	4
+	Search extension method for multiple solutions of a nonlinear problem	2004	Chuanmiao Chen Ziqing Xie	4
+	A high-linking algorithm for sign-changing solutions of semilinear elliptic equations	1999	Zhonghai Ding David G. Costa Goong Chen	4
+	An Exponential Wave Integrator Sine Pseudospectral Method for the Klein--Gordon--Zakharov System	2013	Weizhu Bao Xuanchun Dong Xiaofei Zhao	4
+	On Time-Splitting Pseudospectral Discretization for Nonlinear Klein-Gordon Equation in Nonrelativistic Limit Regime	2014	Xuanchun Dong Zhiguo Xu Xiaofei Zhao	4
+	Minimax Methods in Critical Point Theory with Applications to Differential Equations	1986	P. Rabinowitz	4
+ PDF Chat	Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity	2019	Weizhu Bao Yue Feng Wenfan Yi	4
+	Shrinking Dimer Dynamics and Its Applications to Saddle Point Search	2012	Jingyan Zhang Qiang Du	4
+ PDF Chat	Galerkin Finite Element Methods for Parabolic Problems.	1985	Rolf Rannacher Vidar Thomée	4
+	Normalized Goldstein-type local minimax method for finding multiple unstable solutions of semilinear elliptic PDEs	2021	Wei Liu Ziqing Xie Wenfan Yi	4
+	Numerical solution of a nonlinear Klein-Gordon equation	1978	Walter A. Strauss Luis Vázquez	3
+	Bound-state solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac systems	1996	Maria J. Esteban Vladimir Georgiev Eric S�r�	3
+	Small data blow-up for semilinear Klein-Gordon equations	1999	M. Keel Terence Tao	3
+ PDF Chat	A constrained gentlest ascent dynamics and its applications to finding excited states of Bose–Einstein condensates	2022	Wei Liu Ziqing Xie Yongjun Yuan	3
+	Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime	2017	Weizhu Bao Chunmei Su	3
+ PDF Chat	Long time error analysis of the fourth‐order compact finite difference methods for the nonlinear <scp>Klein–Gordon</scp> equation with weak nonlinearity	2020	Yue Feng	3
+ PDF Chat	The gentlest ascent dynamics	2011	E Weinan Xiang Zhou	3
+	Local existence of energy class solutions for the dirac—klein—gordon equations	1999	Nikolaos Bournaveas	3
+	Efficient and accurate numerical methods for the Klein–Gordon–Schrödinger equations	2007	Weizhu Bao Li Ming Yang	3
+	Optimal Resolution Methods for the Klein–Gordon–Dirac System in the Nonrelativistic Limit Regime	2019	Wenfan Yi Xinran Ruan Chunmei Su	3
+	Sympletic Finite Difference Approximations of the Nonlinear Klein--Gordon Equation	1997	Dugald B. Duncan	3
+	Bifurcation method for solving multiple positive solutions to Henon equation	2008	Zhonghua Yang Zhaoxiang Li Hailong Zhu	3
+	On certain global solutions of the cauchy problem for the (classical) coupled Klein-Gordon-Dirac equations in one and three space dimensions	1974	John Chadam Robert T. Glassey	3
+	LOW REGULARITY SOLUTIONS OF THE DIRAC KLEIN-GORDON EQUATIONS IN TWO SPACE DIMENSIONS	2001	Nikolaos Bournaveas	3
+	Numerical integration of ordinary differential equations based on trigonometric polynomials	1961	Walter Gautschi	3
+ PDF Chat	Uniformly Accurate Multiscale Time Integrators for Highly Oscillatory Second Order Differential Equations	2014	Weizhu Bao Xuanchun Dong Xiaofei Zhao	3
+ PDF Chat	On long time existence for small solutions of semi-linear Klein-Gordon equations on the torus	2009	Jean-Marc Delort	3
+ PDF Chat	Uniformly accurate numerical schemes for highly oscillatory Klein–Gordon and nonlinear Schrödinger equations	2014	Philippe Chartier Nicolas Crouseilles Mohammed Lemou Florian Méhats	3
+ PDF Chat	Instability analysis of saddle points by a local minimax method	2004	Jianxin Zhou	2
+ PDF Chat	An Iterative Minimization Formulation for Saddle Point Search	2015	Weiguo Gao Jing Leng Xiang Zhou	2
+	A Nonmonotone Line Search Technique for Newton’s Method	1986	Luigi Grippo F. Lampariello Stefano Lucidi	2
+	On error bounds for the Gautschi-type exponential integrator applied to oscillatory second-order differential equations	2005	Volker Grimm	2
+	Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations	1999	Shi Jin	2
+	New exact solutions of the double sine-Gordon equation using symbolic computations	2006	Bin He Qing Meng Yao Long Weiguo Rui	2