Xiuhua Wang

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Shigui Du

SIAM J. Sci. Comput., August, 2022

An energy stable linear numerical method for thermodynamically consistent modeling of two-phase incompressible flow in porous media.

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J. Comput. Phys., 2022

Linear energy stable and maximum principle preserving semi-implicit scheme for Allen-Cahn equation with double well potential.

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Huicai Gao

Commun. Nonlinear Sci. Numer. Simul., 2021

A Novel Energy Factorization Approach for the Diffuse-Interface Model with Peng-Robinson Equation of State.

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Shuyu Sun

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SIAM J. Sci. Comput., 2020

Stabilized Energy Factorization Approach for Allen-Cahn Equation with Logarithmic Flory-Huggins Potential.

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Jianchao Cai

J. Sci. Comput., 2020

R-order of convergence for the improved multi-point Chebyshev-like methods under generalized continuity condition.

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Int. J. Comput. Math., 2020

Linearly Decoupled Energy-Stable Numerical Methods for Multicomponent Two-Phase Compressible Flow.

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Shuyu Sun

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SIAM J. Numer. Anal., 2018

Semilocal convergence on a family of root-finding multi-point methods in Banach spaces under relaxed continuity condition.

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Numer. Algorithms, 2017

Semilocal convergence of multi-point improved super-Halley-type methods without the second derivative under generalized weak condition.

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Numer. Algorithms, 2016

Analysis of semilocal convergence for ameliorated super-Halley methods with less computation for inversion.

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LMS J. Comput. Math., 2016

Semilocal convergence analysis on the modifications for Chebyshev-Halley methods under generalized condition.

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Appl. Math. Comput., 2016

Convergence for a class of improved sixth-order Chebyshev-Halley type methods.

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Appl. Math. Comput., 2016

Convergence for a class of multi-point modified Chebyshev-Halley methods under the relaxed conditions.

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Numer. Algorithms, 2015

Convergence analysis on a class of improved Chebyshev methods for nonlinear equations in Banach spaces.

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Comput. Optim. Appl., 2015

Convergence analysis for a family of improved super-Halley methods under general convergence condition.

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Dongyang Shi

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Numer. Algorithms, 2014

Convergence for a family of modified Chebyshev methods under weak condition.

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Numer. Algorithms, 2014

Analysis of Convergence for Improved Chebyshev-Halley Methods Under Different Conditions.

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J. Optim. Theory Appl., 2014

Semilocal convergence and R-order for modified Chebyshev-Halley methods.

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Numer. Algorithms, 2013

Convergence of an iterative method for solving a class of nonlinear equations.

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Dongyang Shi

Comput. Math. Appl., 2013

Semilocal convergence of a modified multi-point Jarratt method in Banach spaces under general continuity condition.

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Numer. Algorithms, 2012

Semilocal Convergence of a Class of Modified Super-Halley Methods in Banach Spaces.

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J. Optim. Theory Appl., 2012

Semilocal convergence of a sixth-order Jarratt method in Banach spaces.

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Numer. Algorithms, 2011

Semilocal convergence of a multipoint fourth-order super-Halley method in Banach spaces.

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Numer. Algorithms, 2011

A new modified secant-like method for solving nonlinear equations.

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Comput. Math. Appl., 2010

Some improvements of Ostrowski's method.

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Appl. Math. Lett., 2010

Modified Jarratt method with sixth-order convergence.

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Appl. Math. Lett., 2009

A variant of Jarratt method with sixth-order convergence.

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Appl. Math. Comput., 2008

Sixth-order variants of Chebyshev-Halley methods for solving non-linear equations.

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Appl. Math. Comput., 2007

A family of fourth-order methods for solving non-linear equations.

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Appl. Math. Comput., 2007

Fourth-order iterative methods free from second derivative.

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Appl. Math. Comput., 2007

A family of fifth-order iterations composed of Newton and third-order methods.

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Appl. Math. Comput., 2007

A variant of super-Halley method with accelerated fourth-order convergence.

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Appl. Math. Comput., 2007

A composite fourth-order iterative method for solving non-linear equations.

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Appl. Math. Comput., 2007

Modified Halley's method free from second derivative.

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Appl. Math. Comput., 2006

A modification of Newton method with third-order convergence.

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Appl. Math. Comput., 2006

On a family of second-derivative-free variants of Chebyshev's method.

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Appl. Math. Comput., 2006

On modified Newton methods with cubic convergence.

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Appl. Math. Comput., 2006

Efficient continuation Newton-like method for solving systems of non-linear equations.

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Appl. Math. Comput., 2006

A uniparametric Chebyshev-type method free from second derivatives.

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