Jianlin Xia

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All published works

Action	Title	Year	Authors
+ PDF Chat	A Structure-Guided Gauss-Newton Method for Shallow ReLU Neural Network	2024	Zhiqiang Cai Tong Ding Min Liu Xinyu Liu Jianlin Xia
+ PDF Chat	Making the Nyström Method Highly Accurate for Low-Rank Approximations	2024	Jianlin Xia
+	Making the Nyström method highly accurate for low-rank approximations	2023	Jianlin Xia
+	SuperDC: Stable superfast divide-and-conquer eigenvalue decomposition	2021	Xiaofeng Ou Jianlin Xia
+ PDF Chat	Robust and effective eSIF preconditioning for general SPD matrices	2020	Jianlin Xia
+	Robust and effective eSIF preconditioning for general SPD matrices	2020	Jianlin Xia
+ PDF Chat	Analytical Low-Rank Compression via Proxy Point Selection	2020	Xin Ye Jianlin Xia Lexing Ying
+	Analytical low-rank compression via proxy point selection	2019	Xin Ye Jianlin Xia Lexing Ying
+	Fast structured Jacobi-Jacobi transforms	2018	Jie Shen Yingwei Wang Jianlin Xia
+	A Fast Contour-Integral Eigensolver for Non-Hermitian Matrices	2017	Xin Ye Jianlin Xia Raymond H. Chan Stephen F. Cauley V. Balakrishnan
+	Effective and Robust Preconditioning of General SPD Matrices via Structured Incomplete Factorization	2017	Jianlin Xia
+	Error bounds for explicit ERKN integrators for systems of multi-frequency oscillatory second-order differential equations	2013	Bin Wang Xinyuan Wu Jianlin Xia
+	Efficient Structured Multifrontal Factorization for General Large Sparse Matrices	2013	Jianlin Xia
+	Explicit multi-symplectic extended leap-frog methods for Hamiltonian wave equations	2012	Wei Shi Xinyuan Wu Jianlin Xia
+	Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nyström methods	2012	Xinyuan Wu Bin Wang Jianlin Xia
+	Robust Approximate Cholesky Factorization of Rank-Structured Symmetric Positive Definite Matrices	2010	Jianlin Xia Ming Gu
+	Order conditions for ARKN methods solving oscillatory systems	2009	Xinyuan Wu Xiong You Jianlin Xia
+	Seismic inverse scattering via Helmholtz operator factorization and optimization	2009	Shen Wang Maarten V. de Hoop Jianlin Xia
+	Enhancing Scalability of Sparse Direct Methods	2008	Xiaoye Sherry Li James Demmel Laura Grigori Ming Gu Jianlin Xia S.C. Jardin C. R. Sovinec Lie‐Quan Lee
+ PDF Chat	Applications of statistical condition estimation to the solution of linear systems	2008	Alan J. Laub Jianlin Xia
+	A Fast QR Algorithm for Companion Matrices	2007	S. Chandrasekaran Ming Gu Jianlin Xia Jiang Zhu
+	Study of general Taylor-like explicit methods in solving stiff ordinary differential equations	2007	Xinyuan Wu Jianlin Xia
+	Some substantial modifications and improvements for derivative-free iterative methods and derivative-free transformation for multiple zeros	2006	Xinyuan Wu Jianlin Xia
+	Extended Runge–Kutta-like formulae	2006	Xinyuan Wu Jianlin Xia
+	Fast Methods for Estimating the Distance to Uncontrollability	2006	Ming Gu Emre Mengi Michael L. Overton Jianlin Xia Jingge Zhu
+	Error analysis of a new transformation for multiple zeros finding free from derivative evaluations	2003	Xinyuan Wu Jianlin Xia
+	New vector forms of elemental functions with Taylor series	2003	Xinyuan Wu Jianlin Xia
+	An improved regula falsi method with quadratic convergence of both diameter and point for enclosing simple zeros of nonlinear equations	2003	Xinyuan Wu Zuhe Shen Jianlin Xia
+	Note on global convergence of ODE methods for unconstrained optimization	2002	Xinyuan Wu Jianlin Xia Zixiang Ouyang
+	Two low accuracy methods for stiff systems	2001	Xinyuan Wu Jianlin Xia
+	Quadratically convergent multiple roots finding method without derivatives	2001	Xinyuan Wu Jianlin Xia Shao Rong
+	An explicit two-step method exact for the scalar test equation y′ = λy	2000	Xinyuan Wu Jianlin Xia
+	The vector form of a sixth-order A-stable explicit one-step method for stiff problems	2000	Xinyuan Wu Jianlin Xia
+	Finite element modelling of the near wall zone of confined turbulent flows	1989	Jianlin Xia Cedric Taylor J. O. Medwell

Common Coauthors

Coauthor	Papers Together
Xinyuan Wu	15
Ming Gu	4
Bin Wang	2
Lexing Ying	2
Jingge Zhu	1
J. O. Medwell	1
V. Balakrishnan	1
Lie‐Quan Lee	1
Emre Mengi	1
Jie Shen	1
Zixiang Ouyang	1
Laura Grigori	1
Xiaofeng Ou	1
Wei Shi	1
Shao Rong	1
Stephen F. Cauley	1
Zuhe Shen	1
C. R. Sovinec	1
Michael L. Overton	1
James Demmel	1
Alan J. Laub	1
Tong Ding	1
Xin Ye	1
Min Liu	1
Xin Ye	1
Shen Wang	1
Xinyu Liu	1
Ye Xin	1
Yingwei Wang	1
Zhiqiang Cai	1
Jiang Zhu	1
Maarten V. de Hoop	1
Cedric Taylor	1
S.C. Jardin	1
S. Chandrasekaran	1
Raymond H. Chan	1
Xiong You	1
Xiaoye Sherry Li	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations	2000	Ernst Hairer Christian Lubich	4
+ PDF Chat	Acceleration techniques for iterated vector and matrix problems	1962	P. Wynn	4
+	Unconditionally stable explicit methods for parabolic equations	1980	Ernst Hairer	4
+	A sixth-order A-stable explicit one-step method for stiff systems	1998	Xinyuan Wu	4
+ PDF Chat	Solving ordinary differential equations I. nonstiff problems	1987	Ernst Hairer Syvert P. Nørsett Gerhard Wanner	4
+	Computational Methods in Ordinary Differential Equations	1973	J. D. Lambert	4
+	The QR iteration method for Hermitian quasiseparable matrices of an arbitrary order	2005	Yuli Eidelman Israel Gohberg Vadim Olshevsky	4
+	Rational Runge-Kutta methods for solving systems of ordinary differential equations	1978	A. Wambecq	4
+	Order conditions for ARKN methods solving oscillatory systems	2009	Xinyuan Wu Xiong You Jianlin Xia	3
+	Note on derivation of order conditions for ARKN methods for perturbed oscillators	2009	Xinyuan Wu Xiong You Jiyong Li	3
+	Direction-Preserving and Schur-Monotonic Semiseparable Approximations of Symmetric Positive Definite Matrices	2010	Ming Gu Xiaoye Sherry Li Panayot S. Vassilevski	3
+	The vector form of a sixth-order A-stable explicit one-step method for stiff problems	2000	Xinyuan Wu Jianlin Xia	3
+	Trigonometrically-fitted ARKN methods for perturbed oscillators	2007	Hongli Yang Xinyuan Wu	3
+ PDF Chat	Differential Equations and Dynamical Systems	1991	L. M. Perko	3
+	ERKN integrators for systems of oscillatory second-order differential equations	2010	Xinyuan Wu Xiong You Wei Shi Bin Wang	3
+	New methods for oscillatory systems based on ARKN methods	2005	J.M. Franco	3
+	Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations	2009	Ernst Hairer Christian Lubich Gerhard Wanner	3
+	Robust Approximate Cholesky Factorization of Rank-Structured Symmetric Positive Definite Matrices	2010	Jianlin Xia Ming Gu	3
+	Numerical Solution of Differential Equations	1985	Arieh Iserles Manoj Jain	3
+	Robust Approximate Inverse Preconditioning for the Conjugate Gradient Method	2000	Michele Benzi Jane Cullum Miroslav Tůma	3
+	Solution of equations in Euclidean and Banach spaces	1973	Alexander Ostrowski	3
+ PDF Chat	Numerical Initial Value Problems in Ordinary Differential Equations	1972	James Watt	3
+	Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems	1993	Ernst Hairer Syvert P. Nørsett Gerhard Wanner	3
+	Computational methods in ordinary differential equations	1973	V. V. Zhurin	3
+ PDF Chat	Efficient Algorithms for Computing a Strong Rank-Revealing QR Factorization	1996	Ming Gu Stanley C. Eisenstat	3
+	Runge–Kutta–Nyström methods adapted to the numerical integration of perturbed oscillators	2002	J.M. Franco	3
+	Numerical Initial Value Problems in Ordinary Differential Equations	1973	E. I. C. W. Gear	3
+	A first course in the numerical analysis of differential equations	2010	Arieh Iserles	3
+	A derivative-free transformation preserving the order of convergence of iteration methods in case of multiple zeros	1979	J. B. Kioustelidis	2
+	A modified regula falsi method for computing the root of an equation	1971	M. Dowell P. Jarratt	2
+	The “Pegasus” method for computing the root of an equation	1972	M. Dowell P. Jarratt	2
+	Extended RKN-type methods for numerical integration of perturbed oscillators	2009	Hongli Yang Xinyuan Wu Xiong You Yonglei Fang	2
+	Quadratically convergent multiple roots finding method without derivatives	2001	Xinyuan Wu Jianlin Xia Shao Rong	2
+ PDF Chat	Subspace Iteration Randomization and Singular Value Problems	2015	Ming Gu	2
+	Divide and Conquer Low-Rank Preconditioners for Symmetric Matrices	2013	Ruipeng Li Yousef Saad	2
+	On a new class of structured matrices	1999	Yuli Eidelman Israel Gohberg	2
+ PDF Chat	Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation	2011	Björn Engquist Lexing Ying	2
+	Multidimensional adapted Runge–Kutta–Nyström methods for oscillatory systems	2010	Xinyuan Wu Bin Wang	2
+	Derivative free multipoint iterative methods for simple and multiple roots	1986	Satteluri R. K. Iyengar Rakesh K. Jain	2
+	Efficient Structured Multifrontal Factorization for General Large Sparse Matrices	2013	Jianlin Xia	2
+	A new continuation Newton-like method and its deformation	2000	Xinyuan Wu	2
+	An improved pegasus method for root finding	1973	Richard F. King	2
+	Strong rank revealing LU factorizations	2003	L Miranian Ming Gu	2
+	Long-Time-Step Methods for Oscillatory Differential Equations	1998	Bosco Garcı́a-Archilla J. M. Sanz‐Serna Robert D. Skeel	2
+	A new family of Runge-Kutta type methods for the numerical integration of perturbed oscillators	1999	Ana B. González Pablo de Castro José M. Farto	2
+ PDF Chat	A bibliography on semiseparable matrices*	2005	Raf Vandebril Marc Van Barel Gene H. Golub Nicola Mastronardi	2
+ PDF Chat	Error analysis of exponential integrators for oscillatory second-order differential equations	2006	Volker Grimm Marlis Hochbruck	2
+	Numerical Energy Conservation for Multi-Frequency Oscillatory Differential Equations	2005	David Cohen Ernst Hairer Ch. Lubich	2
+ PDF Chat	A Gautschi-type method for oscillatory second-order differential equations	1999	Marlis Hochbruck Christian Lubich	2
+ PDF Chat	On enclosing simple roots of nonlinear equations	1993	Götz Alefeld Florian A. Potra Yixun Shi	2