Energy-stable numerical modeling of coupled gas-water-solid processes: A semi-implicit discretization of thermodynamically consistent governing equations.

Xiuhua Wang 0002 Hubei Engineering University, China Xiuhua Wang Xiuhua Wang 0001 The Chinese University of Hong Kong, Sha Tin, Hong Kong Xiuhua Wang 0003 Lanzhou Jiaotong University, China Xiuhua Wang 0004 Suzhou University of Science & Technology, Suzhou, China Xiuhua Wang 0005 Facebook Xiuhua Wang 0006 Xihua University, Chengdu, China Xiuhua Wang 0007 Qingdao Agricultural University, School of Management, China Xiuhua Wang 0008 Central South University, School of Geosciences and Info-Physics, Changsha, China Xiuhua Wang 0009 Huazhong University of Science and Technology, Wuhan, China https://orcid.org/0000-0002-9223-8328 https://www.wikidata.org/entity/Q130832659

Jisheng Kou Xiuhua Wang 0002 Energy-stable numerical modeling of coupled gas-water-solid processes: A semi-implicit discretization of thermodynamically consistent governing equations. 2026 114925 560 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2026.114925 db/journals/jcphy/jcphy560.html#KouW26 streams/journals/jcphy

Jisheng Kou Xiuhua Wang 0002 Huangxin Chen Shuyu Sun 0001 An efficient bound-preserving and energy stable algorithm for compressible gas flow in porous media. 111751 2023 473 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2022.111751 db/journals/jcphy/jcphy473.html#KouWCS23

Jisheng Kou Xiuhua Wang 0002 Shigui Du Shuyu Sun 0001 An energy stable linear numerical method for thermodynamically consistent modeling of two-phase incompressible flow in porous media. 110854 2022 451 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2021.110854 db/journals/jcphy/jcphy451.html#KouWDS22

Jisheng Kou Xiuhua Wang 0002 Shigui Du Energy Stable and Mass Conservative Numerical Method for Gas Flow in Porous Media with Rock Compressibility. 938- 2022 August 44 SIAM J. Sci. Comput. 4 https://doi.org/10.1137/21m1444461 db/journals/siamsc/siamsc44.html#KouWD22

Xiuhua Wang 0002 Jisheng Kou Huicai Gao Linear energy stable and maximum principle preserving semi-implicit scheme for Allen-Cahn equation with double well potential. 105766 2021 98 Commun. Nonlinear Sci. Numer. Simul. https://doi.org/10.1016/j.cnsns.2021.105766 https://www.wikidata.org/entity/Q112880676 db/journals/cnsns/cnsns98.html#WangKG21

Xiuhua Wang 0002 Jisheng Kou R-order of convergence for the improved multi-point Chebyshev-like methods under generalized continuity condition. 906-919 2020 97 Int. J. Comput. Math. 4 https://doi.org/10.1080/00207160.2019.1599867 db/journals/ijcm/ijcm97.html#WangK20

Xiuhua Wang 0002 Jisheng Kou Jianchao Cai Stabilized Energy Factorization Approach for Allen-Cahn Equation with Logarithmic Flory-Huggins Potential. 25 2020 82 J. Sci. Comput. 1 https://doi.org/10.1007/s10915-020-01127-x https://www.wikidata.org/entity/Q126319457 db/journals/jscic/jscic82.html#WangKC20

Jisheng Kou Shuyu Sun 0001 Xiuhua Wang 0002 A Novel Energy Factorization Approach for the Diffuse-Interface Model with Peng-Robinson Equation of State. B30-B56 2020 42 SIAM J. Sci. Comput. 1 https://doi.org/10.1137/19M1251230 https://www.wikidata.org/entity/Q126398612 db/journals/siamsc/siamsc42.html#KouSW20

Jisheng Kou Shuyu Sun 0001 Xiuhua Wang 0002 Linearly Decoupled Energy-Stable Numerical Methods for Multicomponent Two-Phase Compressible Flow. 3219-3248 2018 56 SIAM J. Numer. Anal. 6 https://doi.org/10.1137/17M1162287 db/journals/siamnum/siamnum56.html#KouSW18

Xiuhua Wang 0002 Jisheng Kou Semilocal convergence on a family of root-finding multi-point methods in Banach spaces under relaxed continuity condition. 643-657 2017 74 Numer. Algorithms 3 https://doi.org/10.1007/s11075-016-0165-0 db/journals/na/na74.html#WangK17

Xiuhua Wang 0002 Jisheng Kou Convergence for a class of improved sixth-order Chebyshev-Halley type methods. 513-524 2016 273 Appl. Math. Comput. https://doi.org/10.1016/j.amc.2015.07.058 db/journals/amc/amc273.html#WangK16

Xiuhua Wang 0002 Jisheng Kou Semilocal convergence analysis on the modifications for Chebyshev-Halley methods under generalized condition. 243-251 2016 281 Appl. Math. Comput. https://doi.org/10.1016/j.amc.2016.01.035 db/journals/amc/amc281.html#WangK16a

Xiuhua Wang 0002 Jisheng Kou Analysis of semilocal convergence for ameliorated super-Halley methods with less computation for inversion. 293-302 2016 19 LMS J. Comput. Math. 1 https://doi.org/10.1112/s1461157016000395 db/journals/lmsjcm/lmsjcm19.html#0002K16

Xiuhua Wang 0002 Jisheng Kou Semilocal convergence of multi-point improved super-Halley-type methods without the second derivative under generalized weak condition. 567-584 2016 71 Numer. Algorithms 3 https://doi.org/10.1007/s11075-015-0010-x db/journals/na/na71.html#WangK16

Xiuhua Wang 0002 Jisheng Kou Convergence analysis on a class of improved Chebyshev methods for nonlinear equations in Banach spaces. 697-717 2015 60 Comput. Optim. Appl. 3 https://doi.org/10.1007/s10589-014-9684-6 db/journals/coap/coap60.html#WangK15

Xiuhua Wang 0002 Jisheng Kou Convergence for a class of multi-point modified Chebyshev-Halley methods under the relaxed conditions. 569-583 2015 68 Numer. Algorithms 3 https://doi.org/10.1007/s11075-014-9861-9 db/journals/na/na68.html#WangK15

Xiuhua Wang 0002 Jisheng Kou Analysis of Convergence for Improved Chebyshev-Halley Methods Under Different Conditions. 920-930 2014 162 J. Optim. Theory Appl. 3 https://doi.org/10.1007/s10957-013-0443-0 db/journals/jota/jota162.html#WangK14

Xiuhua Wang 0002 Dongyang Shi Jisheng Kou Convergence analysis for a family of improved super-Halley methods under general convergence condition. 339-354 2014 65 Numer. Algorithms 2 https://doi.org/10.1007/s11075-013-9708-9 db/journals/na/na65.html#WangSK14

Xiuhua Wang 0002 Jisheng Kou Convergence for a family of modified Chebyshev methods under weak condition. 33-48 2014 66 Numer. Algorithms 1 https://doi.org/10.1007/s11075-013-9722-y db/journals/na/na66.html#WangK14

Xiuhua Wang 0002 Jisheng Kou Dongyang Shi Convergence of an iterative method for solving a class of nonlinear equations. 1322-1328 2013 66 Comput. Math. Appl. 7 https://doi.org/10.1016/j.camwa.2013.08.001 db/journals/cma/cma66.html#WangKS13

Xiuhua Wang 0002 Jisheng Kou Semilocal convergence and R-order for modified Chebyshev-Halley methods. 105-126 2013 64 Numer. Algorithms 1 https://doi.org/10.1007/s11075-012-9657-8 db/journals/na/na64.html#WangK13

Xiuhua Wang 0002 Jisheng Kou Chuanqing Gu Semilocal Convergence of a Class of Modified Super-Halley Methods in Banach Spaces. 779-793 2012 153 J. Optim. Theory Appl. 3 https://doi.org/10.1007/s10957-012-9985-9 db/journals/jota/jota153.html#WangKG12

Xiuhua Wang 0002 Jisheng Kou Semilocal convergence of a modified multi-point Jarratt method in Banach spaces under general continuity condition. 369-390 2012 60 Numer. Algorithms 3 https://doi.org/10.1007/s11075-011-9519-9 db/journals/na/na60.html#WangK12

Xiuhua Wang 0002 Chuanqing Gu Jisheng Kou Semilocal convergence of a multipoint fourth-order super-Halley method in Banach spaces. 497-516 2011 56 Numer. Algorithms 4 https://doi.org/10.1007/s11075-010-9401-1 db/journals/na/na56.html#WangGK11

Xiuhua Wang 0002 Jisheng Kou Chuanqing Gu Semilocal convergence of a sixth-order Jarratt method in Banach spaces. 441-456 2011 57 Numer. Algorithms 4 https://doi.org/10.1007/s11075-010-9438-1 db/journals/na/na57.html#WangKG11

Jisheng Kou Xiuhua Wang 0002 Some improvements of Ostrowski's method. 92-96 2010 23 Appl. Math. Lett. 1 https://doi.org/10.1016/j.aml.2009.08.010 db/journals/appml/appml23.html#KouW10

Xiuhua Wang 0002 Jisheng Kou Chuanqing Gu A new modified secant-like method for solving nonlinear equations. 1633-1638 2010 60 Comput. Math. Appl. 6 https://doi.org/10.1016/j.camwa.2010.06.045 db/journals/cma/cma60.html#WangKG10

Xiuhua Wang 0002 Jisheng Kou Yitian Li Modified Jarratt method with sixth-order convergence. 1798-1802 2009 22 Appl. Math. Lett. 12 https://doi.org/10.1016/j.aml.2009.06.022 db/journals/appml/appml22.html#WangKL09

Xiuhua Wang 0002 Jisheng Kou Yitian Li A variant of Jarratt method with sixth-order convergence. 14-19 2008 204 Appl. Math. Comput. 1 https://doi.org/10.1016/j.amc.2008.05.112 db/journals/amc/amc204.html#WangKL08

Jisheng Kou Yitian Li Xiuhua Wang 0002 A composite fourth-order iterative method for solving non-linear equations. 471-475 2007 184 Appl. Math. Comput. 2 https://doi.org/10.1016/j.amc.2006.05.181 db/journals/amc/amc184.html#KouLW07

Jisheng Kou Yitian Li Xiuhua Wang 0002 Fourth-order iterative methods free from second derivative. 880-885 2007 184 Appl. Math. Comput. 2 https://doi.org/10.1016/j.amc.2006.05.189 db/journals/amc/amc184.html#KouLW07c

Jisheng Kou Yitian Li Xiuhua Wang 0002 A variant of super-Halley method with accelerated fourth-order convergence. 535-539 2007 186 Appl. Math. Comput. 1 https://doi.org/10.1016/j.amc.2006.07.118 db/journals/amc/amc186.html#KouLW07a

Jisheng Kou Yitian Li Xiuhua Wang 0002 A family of fifth-order iterations composed of Newton and third-order methods. 1258-1262 2007 186 Appl. Math. Comput. 2 https://doi.org/10.1016/j.amc.2006.07.150 db/journals/amc/amc186.html#KouLW07b

Jisheng Kou Yitian Li Xiuhua Wang 0002 A family of fourth-order methods for solving non-linear equations. 1031-1036 2007 188 Appl. Math. Comput. 1 https://doi.org/10.1016/j.amc.2006.10.066 db/journals/amc/amc188.html#KouLW07d

Jisheng Kou Xiuhua Wang 0002 Sixth-order variants of Chebyshev-Halley methods for solving non-linear equations. 1839-1843 2007 190 Appl. Math. Comput. 2 https://doi.org/10.1016/j.amc.2007.02.069 db/journals/amc/amc190.html#KouW07

Jisheng Kou Yitian Li Xiuhua Wang 0002 Efficient continuation Newton-like method for solving systems of non-linear equations. 846-853 2006 174 Appl. Math. Comput. 2 https://doi.org/10.1016/j.amc.2005.05.031 db/journals/amc/amc174.html#KouLW06

Jisheng Kou Yitian Li Xiuhua Wang 0002 On modified Newton methods with cubic convergence. 123-127 2006 176 Appl. Math. Comput. 1 https://doi.org/10.1016/j.amc.2005.09.052 db/journals/amc/amc176.html#KouLW06a

Jisheng Kou Yitian Li Xiuhua Wang 0002 A uniparametric Chebyshev-type method free from second derivatives. 296-300 2006 179 Appl. Math. Comput. 1 https://doi.org/10.1016/j.amc.2005.11.110 db/journals/amc/amc179.html#JishengYX06

Jisheng Kou Yitian Li Xiuhua Wang 0002 On a family of second-derivative-free variants of Chebyshev's method. 982-987 2006 181 Appl. Math. Comput. 2 https://doi.org/10.1016/j.amc.2006.01.075 db/journals/amc/amc181.html#KouLW06b

Jisheng Kou Yitian Li Xiuhua Wang 0002 A modification of Newton method with third-order convergence. 1106-1111 2006 181 Appl. Math. Comput. 2 https://doi.org/10.1016/j.amc.2006.01.076 db/journals/amc/amc181.html#KouLW06c

Jisheng Kou Yitian Li Xiuhua Wang 0002 Modified Halley's method free from second derivative. 704-708 2006 183 Appl. Math. Comput. 1 https://doi.org/10.1016/j.amc.2006.05.097 db/journals/amc/amc183.html#KouLW06d

Jianchao Cai Huangxin Chen Shigui Du Huicai Gao Chuanqing Gu Jisheng Kou Yitian Li Dongyang Shi Shuyu Sun 0001