Aimin Xu

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All published works

Action	Title	Year	Authors
+	A BDF2 method for a singularly perturbed transport equation	2024	Zhongdi Cen Aimin Xu
+	A second-order three-point difference scheme on a posteriori mesh for a singularly perturbed convection–diffusion problem	2024	Zhongdi Cen Jian Huang Aimin Xu
+	An integral discretization scheme on a graded mesh for a fractional differential equation with integral boundary conditions	2024	Zhongdi Cen Jian Huang Aimin Xu
+	A Fractional Sir Model for the Simulation of the Spread of Influenza a During the Post Covid-19 Period	2024	Jian Huang Zhongdi Cen Aimin Xu Tianfeng He Qingbing Liu
+ PDF Chat	A SIR Model with Incomplete Data for the Analysis of Influenza A Spread in Ningbo	2024	Bingqing Wang Yanyao Hu Zhongdi Cen Jian Huang Tianfeng He Aimin Xu
+	Pricing a resettable convertible bond based on decomposition method and PDE models	2023	Zhongdi Cen Jian Huang Anbo Le Aimin Xu
+	A Quadratic B-Spline Collocation Method for a Singularly Perturbed Semilinear Reaction–Diffusion Problem with Discontinuous Source Term	2023	Zhongdi Cen Jian Huang Aimin Xu
+	Some identities involving derangement polynomials and $ r $-Bell polynomials	2023	Aimin Xu
+ PDF Chat	Asymptotic Expansions Related to the Wallis Ratio Based on the Bell Polynomials	2022	Aimin Xu
+	A note on the preconditioned tensor splitting iterative method for solving strong $ \mathcal{M} $-tensor systems	2022	Qingbing Liu Aimin Xu Shuhua Yin Zhe Tu
+	An efficient numerical method for a time-fractional telegraph equation	2022	Jian Huang Zhongdi Cen Aimin Xu
+	A posteriori mesh method for a system of singularly perturbed initial value problems	2022	Zhongdi Cen Jian Huang Aimin Xu
+	A posteriori grid method for a time-fractional Black-Scholes equation	2022	Zhongdi Cen Jian Huang Aimin Xu
+	An improved a posteriori error estimation for a parameterized singular perturbation problem	2020	Jian Huang Zhongdi Cen Aimin Xu
+	A second-order adaptive grid method for a nonlinear singularly perturbed problem with an integral boundary condition	2020	Zhongdi Cen Li‐Bin Liu Aimin Xu
+ PDF Chat	Qi’s conjectures on completely monotonic degrees of remainders of asymptotic formulas of di- and trigamma functions	2020	Aimin Xu Zhongdi Cen
+ PDF Chat	On a general inequality related to the generalized-Euler-constant function	2020	Han-Qi Tang Aimin Xu
+	A modified integral discretization scheme for a two-point boundary value problem with a Caputo fractional derivative	2019	Zhongdi Cen Jian Huang Aimin Xu Anbo Le
+ PDF Chat	Approximations of the generalized-Euler-constant function and the generalized Somos’ quadratic recurrence constant	2019	Aimin Xu
+	Asymptotic expansion related to the generalized Somos recurrence constant	2019	Aimin Xu
+ PDF Chat	A Robust Spline Collocation Method for Pricing American Put Options	2019	Zhongdi Cen Anbo Le Aimin Xu
+	A uniformly convergent hybrid difference scheme for a system of singularly perturbed initial value problems	2019	Zhongdi Cen Aimin Xu Anbo Le Li‐Bin Liu
+	A posteriori error estimation for a singularly perturbed Volterra integro-differential equation	2019	Jian Huang Zhongdi Cen Aimin Xu Li‐Bin Liu
+ PDF Chat	Some inequalities for generalized Bell-Touchard polynomials	2019	Hairong Yan Qiaoling Zhang Aimin Xu
+ PDF Chat	Determinants involving the numbers of the Stirling-type	2019	Aimin Xu
+ PDF Chat	On an open problem of Simsek concerning the computation of a family of special numbers	2018	Aimin Xu
+	A second-order scheme for a time-fractional diffusion equation	2018	Zhongdi Cen Jian Huang Anbo Le Aimin Xu
+	An efficient numerical method for a time-fractional diffusion equation	2018	Zhongdi Cen Jian Huang Anbo Le Aimin Xu
+	Numerical approximation of a time-fractional Black–Scholes equation	2018	Zhongdi Cen Jian Huang Aimin Xu Anbo Le
+	An efficient numerical method for a two-point boundary value problem with a Caputo fractional derivative	2017	Zhongdi Cen Jian Huang Aimin Xu
+	Ramanujan’s Harmonic Number Expansion and Two Identities for Bernoulli Numbers	2017	Aimin Xu
+	A robust numerical method for a fractional differential equation	2017	Zhongdi Cen Anbo Le Aimin Xu
+ PDF Chat	A high-order finite difference scheme for a singularly perturbed reaction-diffusion problem with an interior layer	2017	Zhongdi Cen Anbo Le Aimin Xu
+	A high-order finite difference scheme for a singularly perturbed fourth-order ordinary differential equation	2017	Zhongdi Cen Aimin Xu Anbo Le
+	Asymptotic expansions for the psi function and the Euler–Mascheroni constant	2017	Aimin Xu Zhongdi Cen
+	Parameter-uniform hybrid difference scheme for solutions and derivatives in singularly perturbed initial value problems	2017	Zhongdi Cen Anbo Le Aimin Xu
+	Some identities related to the<i>r</i>-Whitney numbers	2016	Aimin Xu Tianhe Zhou
+	Asymptotic expansions for the gamma function	2016	Aimin Xu Yongcai Hu Peipei Tang
+	On two kinds of q-analogues of generalized Stirling numbers	2016	Aimin Xu Peipei Tang
+	A posteriori error analysis for a fractional differential equation	2016	Zhongdi Cen Anbo Le Aimin Xu
+	Asymptotic expansions related to the Glaisher–Kinkelin constant and its analogues	2016	Aimin Xu
+	Closed formulas for computing higher-order derivatives of functions involving exponential functions	2015	Aimin Xu Zhongdi Cen
+	Combinatorial identities from contour integrals of rational functions	2015	Aimin Xu Zhongdi Cen
+	On the hybrid finite difference scheme for a singularly perturbed Riccati equation	2015	Zhongdi Cen Aimin Xu Anbo Le
+ PDF Chat	A general rational sum identity	2015	Aimin Xu
+	A hybrid finite difference scheme for pricing Asian options	2014	Zhongdi Cen Aimin Xu Anbo Le
+ PDF Chat	On a General $q$-Identity	2014	Aimin Xu
+	On the convergence of approximating tensor-product rational Bézier surfaces using tensor-product Bézier surfaces	2014	Huixia Xu Renfang Wang Zhenyu Shu Aimin Xu
+	A FINITE DIFFERENCE SCHEME BASED ON A LAYER-ADAPTIVE MESH FOR THE FIXED RATE MORTGAGES MODEL	2014	Zhongdi Cen Aimin Xu LE Anbo
+	An almost second order uniformly convergent scheme for a singularly perturbed initial value problem	2013	Zhongdi Cen Fevzi Erdoğan Aimin Xu
+	Some identities involving exponential functions and Stirling numbers and applications	2013	Aimin Xu Zhongdi Cen
+	Divided differences and a general explicit formula for sequences of Mansour–Mulay–Shattuck	2013	Aimin Xu Zhongdi Cen
+	Finite difference scheme with a moving mesh for pricing Asian options	2013	Zhongdi Cen Anbo Le Aimin Xu
+ PDF Chat	An Alternating-Direction Implicit Difference Scheme for Pricing Asian Options	2013	Zhongdi Cen Anbo Le Aimin Xu
+	An Inexact Accelerated Proximal Gradient Method and a Dual Newton-CG Method for the Maximal Entropy Problem	2012	Chengjing Wang Aimin Xu
+ PDF Chat	Extensions of Spivey's Bell Number Formula	2012	Aimin Xu
+	Divided differences and a unified approach to evaluating determinants involving generalized factorials	2012	Peipei Tang Aimin Xu
+ PDF Chat	Exponential Time Integration and Second-Order Difference Scheme for a Generalized Black-Scholes Equation	2012	Zhongdi Cen Anbo Le Aimin Xu
+ PDF Chat	A Newton Interpolation Approach to Generalized Stirling Numbers	2012	Aimin Xu
+	A unified approach to some recurrence sequences via Faà di Bruno’s formula	2011	Aimin Xu Zhongdi Cen
+	On a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>q</mml:mi></mml:math>-analogue of Faà di Bruno’s determinant formula	2010	Aimin Xu Zhongdi Cen
+ PDF Chat	Computation of the geometric measure of entanglement for pure multiqubit states	2010	Lin Chen Aimin Xu Huangjun Zhu
+	A second-order hybrid finite difference scheme for a system of singularly perturbed initial value problems	2010	Zhongdi Cen Aimin Xu Anbo Le
+	Refinements of Aczél and Bellman’s inequalities	2010	Zhicheng Hu Aimin Xu
+ PDF Chat	Asymptotic Behaviors of Intermediate Points in the Remainder of the Euler-Maclaurin Formula	2010	Aimin Xu Zhongdi Cen
+	A Direct Solution of the Probability Density Function of the χ~2 Distribution	2010	Aimin Xu
+	Some extensions of Faà di Bruno’s formula with divided differences	2009	Aimin Xu Chengjing Wang
+	Asymptotic behavior of intermediate points in the differential mean value theorem of divided differences with repetitions	2009	Aimin Xu Feng Cui Zhicheng Hu
+	Hermite interpolation and its numerical differentiation formula involving symmetric functions	2009	Hong-huan Bai Aimin Xu
+	Representation for the Lagrangian numerical differentiation formula involving elementary symmetric functions	2009	Hong-huan Bai Aimin Xu Feng Cui
+	A remainder formula of numerical differentiation for the generalized Lagrange interpolation	2008	Aimin Xu Zhongdi Cen
+	Some integral inequalities for functions with (n−1)st derivatives of bounded variation	2007	Aimin Xu Cui De-zao
+	A Note to Inequalities of Euler-Grüss Type	2006	Aimin Xu

Common Coauthors

Coauthor	Papers Together
Zhongdi Cen	43
Anbo Le	18
Jian Huang	14
Peipei Tang	3
Li‐Bin Liu	3
Zhicheng Hu	2
Chengjing Wang	2
Tianfeng He	2
Feng Cui	2
Hong-huan Bai	2
Lin Chen	1
Hairong Yan	1
Tianhe Zhou	1
Qiaoling Zhang	1
Bingqing Wang	1
Huixia Xu	1
Shuhua Yin	1
Jian Huang	1
Yanyao Hu	1
Zhe Tu	1
Zhenyu Shu	1
Yongcai Hu	1
Cui De-zao	1
Jian Huang	1
Huangjun Zhu	1
Qingbing Liu	1
Fevzi Erdoğan	1
Renfang Wang	1
Han-Qi Tang	1
Qingbing Liu	1
LE Anbo	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Advanced Combinatorics: The Art of Finite and Infinite Expansions	1974	Louis Comtet J.W. Nienhuys	18
+	On the discrete analogues of some generalizations of Gronwall's inequality	1965	D. Willett J. S. W. Wong	8
+	Exponential Polynomials	1934	E. T. Bell	8
+	Robust Computational Techniques for Boundary Layers	2000	Paul A. Farrell Alan F. Hegarty John Miller Eugene O’Riordan G. I. Shishkin	8
+	The Analysis of Fractional Differential Equations	2010	Kai Diethelm	7
+	A robust and accurate finite difference method for a generalized Black–Scholes equation	2011	Zhongdi Cen Anbo Le	7
+ PDF Chat	A finite difference method for a two-point boundary value problem with a Caputo fractional derivative	2014	Martin Stynes J.L. Gracia	7
+	On the Hermite interpolation	2007	Xinghua Wang	7
+	Advanced Combinatorics	1974	Louis Comtet	6
+	Central difference approximation of convection in Caputo fractional derivative two-point boundary value problems	2014	J.L. Gracia Martin Stynes	6
+	Explicit Representations for Local Lagrangian Numerical Differentiation	2006	He Yu Wang Feng Cui Xing Hua Wang	6
+	The midpoint upwind scheme	1997	Martin Stynes Hans‐Görg Roos	6
+	The Curious History of Faà di Bruno's Formula	2002	Warren P. Johnson	5
+ PDF Chat	An efficient collocation method for a Caputo two-point boundary value problem	2014	Natalia Kopteva Martin Stynes	5
+	Piecewise polynomial collocation for linear boundary value problems of fractional differential equations	2012	Arvet Pedas Enn Tamme	5
+	A brief survey on numerical methods for solving singularly perturbed problems	2010	Mohan K. Kadalbajoo Vikas Gupta	5
+	Analysis of some difference approximations for a singular perturbation problem without turning points	1978	R. Bruce Kellogg Alice Tsan	5
+	Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems	2015	Pratibhamoy Das	5
+	Sufficient conditions for uniform convergence on layer-adapted grids	2001	Torsten Linß	5
+	Some extensions of Faà di Bruno’s formula with divided differences	2009	Aimin Xu Chengjing Wang	5
+	A-posteriori error estimation in maximum norm for a strongly coupled system of two singularly perturbed convection–diffusion problems	2016	Li‐Bin Liu Yanping Chen	5
+ PDF Chat	q-identities from Lagrange and Newton interpolation	2003	Amy M. Fu Alain Lascoux	5
+	Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables	1965	D. B. Owen Milton Abramowitz Irene A. Stegun	4
+ PDF Chat	On a New Family of Generalized Stirling and Bell Numbers	2011	Toufik Mansour Matthias Schork Mark Shattuck	4
+	Robust Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion-Reaction and Flow Problems	1996	Hans‐Görg Roos Martin Stynes Lutz Tobiska	4
+	A Unified Approach to Generalized Stirling Numbers	1998	L. C. Hsu Peter J.-S. Shiue	4
+	Maximum Norm A Posteriori Error Estimates for a One-Dimensional Convection-Diffusion Problem	2001	Natalia Kopteva	4
+	Good approximation by splines with variable knots. II	1974	Carl de Boor	4
+ PDF Chat	Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation	2017	Martin Stynes Eugene O’Riordan J.L. Gracia	4
+	Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems	2009	Torsten Linß	4
+	A unified approach to some recurrence sequences via Faà di Bruno’s formula	2011	Aimin Xu Zhongdi Cen	4
+	Approximants of the Euler–Mascheroni constant and harmonic numbers	2013	Tomislav Burić Neven Elezović	4
+ PDF Chat	Two chain rules for divided differences and Faà di Bruno’s formula	2006	Michael S. Floater Tom Lyche	4
+	A generalized recurrence for Bell polynomials: An alternate approach to Spivey and Gould–Quaintance formulas	2009	Hacène Belbachir Miloud Mihoubi	3
+	Closed-form expressions for the finite difference approximations of first and higher derivatives based on Taylor series	1999	Ishtiaq Rasool Khan Ryoji Ohba	3
+	A generated approximation related to Burnsideʼs formula	2013	Dawei Lu	3
+	A Generalized Recurrence for Bell Numbers	2008	Michael Z. Spivey	3
+	A <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:math>-Point interpolation formula with its applications to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si108.gif" display="inline" overflow="scroll"><mml:mi>q</mml:mi></mml:math>-identities	2011	Sandy H. L. Chen Amy M. Fu	3
+	A cubic B-spline collocation method for a numerical solution of the generalized Black–Scholes equation	2011	Mohan K. Kadalbajoo Lok Pati Tripathi Alpesh Kumar	3
+ PDF Chat	On the coefficients of an asymptotic expansion related to Somos' quadratic recurrence constant	2010	Gergő Nemes	3
+	High‐order numerical methods for one‐dimensional parabolic singularly perturbed problems with regular layers	2004	C. Clavero J.L. Gracia J.C. Jorge	3
+	Some q-series identities related to divisor functions	1995	Karl Dilcher	3
+	A recent survey on computational techniques for solving singularly perturbed boundary value problems	2007	Manoj Kumar Pitam Singh Hradyesh Kumar Mishra	3
+	A new Stirling series as continued fraction	2010	Cristinel Mortici	3
+ PDF Chat	Some identities involving rational sums	2007	José Luis Díaz‐Barrero José Gibergans-Báguena Pantelimon George Popescu	3
+	Modified spline collocation for linear fractional differential equations	2015	Marek Kolk Arvet Pedas Enn Tamme	3
+	A Stability Result for Sectorial Operators in Banach Bpaces	1993	C. Palencia	3
+	Stable Lagrangian numerical differentiation with the highest order of approximation	2006	Xinghua Wang Feng Cui	3
+ PDF Chat	Summation formulae involving harmonic numbers	2012	Wenchang Chu	3
+	Analysis of Fractional Differential Equations	2002	Kai Diethelm Neville J. Ford	3