Edit Profile (opens in new tab) Liu, Chengshi Compute Distance To: Compute Author ID: liu.chengshi Published as: Liu, Cheng-Shi; Liu, Chengshi; Liu, Cheng-shi; Liu, Cheng Shi more...less Documents Indexed: 78 Publications since 1969 1 Contribution as Editor Co-Authors: 2 Co-Authors with 3 Joint Publications 95 Co-Co-Authors all top 5 Co-Authors 23 single-authored 5 Gladd, N. T. 2 An, Z. G. 2 Chan, V. S. 2 Drake, J. F. 2 Du, Xinghua 2 Grebogi, Celso 2 Wang, Chunyan 1 Aamodt, R. E. 1 Akbarian, A. 1 Azfar, F. 1 Ball, Alan A. 1 Bondeson, Anders 1 Bousson, N. 1 Boyd, David A. 1 Bürger, Raimund 1 Cheng, R. T. 1 Cohen, Bruce I. 1 Davidson, Ronald C. 1 Fernández, Juan Pablo 1 Geldmacher, R. C. 1 Giurgiu, G. 1 Gómez-Ceballos, G. 1 Goren, Yaron J. 1 Guzdar, Parvez N. 1 Hagger, Raffael 1 Kreps, M. 1 Kuhr, Tomas 1 Lau, Y. Y. 1 Lehmberg, R. H. 1 Loth, Eric 1 Marklin, G. 1 Morlock, J. 1 Myra, J. R. 1 Nicholson, Dwight R. 1 Nolte, Loren W. 1 Oakes, L. 1 Paulini, M. 1 Pueschel, E. 1 Raabe, Dierk 1 Rosenbluth, Marshall N. 1 Rowe, Glenn W. A. 1 Sanuki, Heiji 1 Schmidt, Andreas 1 Shanthraj, Pratheek 1 Shum, Heung-Yeung 1 Ştefan, Viorel R. A. 1 Stipcich, G. 1 Sturgess, C. E. N. 1 Sutomo, W. 1 Svendsen, Bob 1 Taskinen, Jari 1 Virtanen, Jani A. 1 Weiland, Jürgen 1 Wendland, Wolfgang L. 1 Yau, Shing-Tung 1 Zhang, Junhua all top 5 Serials 24 Physics of Fluids 4 Chaos, Solitons and Fractals 4 Communications in Theoretical Physics 3 Acta Physica Sinica 3 Communications in Nonlinear Science and Numerical Simulation 2 Modern Physics Letters A 2 Modern Physics Letters B 2 Journal of Applied Mechanics 2 Journal of Computational Physics 2 Journal of Nanjing University. Mathematical Biquarterly 1 AIAA Journal 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 International Journal of Mechanical Sciences 1 International Journal of Multiphase Flow 1 International Journal of Solids and Structures 1 Journal of Mathematical Analysis and Applications 1 Reports on Mathematical Physics 1 Applied Mathematics and Computation 1 IEEE Transactions on Communications 1 Integral Equations and Operator Theory 1 Applied Mathematics Letters 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Neural, Parallel & Scientific Computations 1 Pure and Applied Mathematics 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Nonlinear Dynamics 1 Far East Journal of Applied Mathematics 1 Journal of Mathematical Study 1 Journal of High Energy Physics 1 Physica Scripta 1 The ANZIAM Journal 1 Far East Journal of Dynamical Systems 1 Foundations of Physics 1 Applied Mathematical and Computational Sciences all top 5 Fields 30 Fluid mechanics (76-XX) 17 Partial differential equations (35-XX) 8 Numerical analysis (65-XX) 7 Mechanics of deformable solids (74-XX) 6 Quantum theory (81-XX) 5 Real functions (26-XX) 4 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Information and communication theory, circuits (94-XX) 2 Measure and integration (28-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 547 times in 124 Documents Cited by ▼ Year ▼ Preconditioned multigrid methods for unsteady incompressible flows. Zbl 0908.76064Liu, C.; Zheng, X.; Sung, C. H. 131 1998 Integrability of nonlinear Hamiltonian systems by inverse scattering method. Zbl 1063.37559Chen, H. H.; Lee, Y. C.; Liu, C. S. 131 1979 Applications of complete discrimination system for polynomial for classifications of traveling wave solutions to nonlinear differential equations. Zbl 1205.35262Liu, Cheng-Shi 36 2010 Counterexamples on Jumarie’s two basic fractional calculus formulae. Zbl 1331.26010Liu, Cheng-shi 32 2015 Trial equation method and its applications to nonlinear evolution equations. Zbl 1202.35059Liu, Cheng Shi 21 2005 The essence of the homotopy analysis method. Zbl 1194.34010Liu, Cheng-Shi 20 2010 Representations and classification of traveling wave solutions to sinh-Gordon equation. Zbl 1392.35063Liu, Cheng-Shi 19 2008 Classification of all single travelling wave solutions to Calogero-Degasperis-Focas equation. Zbl 1267.35065Liu, Cheng-Shi 16 2007 Exponential function rational expansion method for nonlinear differential-difference equations. Zbl 1197.35243Liu, Cheng-Shi 12 2009 Nonlinear wave and soliton propagation in media with arbitrary inhomogeneities. Zbl 0414.76016Chen, H. H.; Liu, C. S. 11 1978 Existence and stability for mathematical models of sedimentation-consolidation processes in several space dimensions. Zbl 0995.35050Bürger, R.; Liu, C.; Wendland, W. L. 11 2001 Using the trial equation method to obtain exact solutions for two kinds of KdV equations with variable coefficients. Zbl 1202.35236Liu, Cheng Shi 10 2005 Solution of ODE \(u''+ p(u)(u')^2+q(u)=0\) and applications to classifications of all single travelling wave solutions to some nonlinear mathematical physics equations. Zbl 1392.35064Liu, Cheng-Shi 10 2008 The essence of the generalized Taylor theorem as the foundation of the homotopy analysis method. Zbl 1221.65207Liu, Cheng-Shi 9 2011 Counterexamples on Jumarie’s three basic fractional calculus formulae for non-differentiable continuous functions. Zbl 1390.26011Liu, Cheng-shi 9 2018 High order finite difference and multigrid methods for spatially evolving instability in a planar channel. Zbl 0769.76038Liu, C.; Liu, Z. 8 1993 Trial equation method based on symmetry and applications to nonlinear equations arising in mathematical physics. Zbl 1215.35142Liu, Cheng-Shi 7 2011 Inventory competition in a dual-channel supply chain with delivery lead time consideration. Zbl 1443.90081Yang, J. Q.; Zhang, X. M.; Fu, H. Y.; Liu, C. 7 2017 Comparison of a general series expansion method and the homotopy analysis method. Zbl 1195.65145Liu, Cheng-Shi; Liu, Yang 6 2010 Canonical-like transformation method and exact solutions to a class of diffusion equations. Zbl 1198.81094Liu, Cheng-Shi 6 2009 An improved interpolating element-free Galerkin method based on nonsingular weight functions. Zbl 1407.74091Sun, F. X.; Liu, C.; Cheng, Y. M. 6 2014 The renormalization method based on the Taylor expansion and applications for asymptotic analysis. Zbl 1375.35082Liu, Cheng-Shi 4 2017 Finite-element modelling of deformation and spread in slab rolling. Zbl 0604.73046Liu, C.; Hartley, P.; Sturgess, C. E. N.; Rowe, G. W. 2 1987 Tilting instability of a cylindrical spheromak. Zbl 0469.76119Bondeson, A.; Marklin, G.; An, Z. G.; Chen, H. H.; Lee, Y. C.; Liu, C. S. 2 1981 Self-modulation of ion Bernstein waves. Zbl 0447.76092Myra, J. R.; Liu, C. S. 2 1980 On the local fractional derivative of everywhere non-differentiable continuous functions on intervals. Zbl 1473.26007Liu, Cheng-shi 2 2017 New trial equation methods and exact solutions to some nonlinear mathematical physical equations. Zbl 1194.34005Liu, Cheng-Shi 2 2010 Computational isotropic-workhardening rate-independent elastoplasticity. Zbl 1110.74592Mukherjee, S.; Liu, C.-S. 2 2003 Stability of shear flow in a magnetized plasma. Zbl 0429.76028Lau, Y. Y.; Liu, C. S. 2 1980 Convective cell formation and anomalous diffusion due to electromagnetic drift wave turbulence. Zbl 0471.76122Weiland, J.; Sanuki, Heiji; Liu, C. S. 1 1981 How many first integrals imply integrability in infinite-dimensional Hamilton system. Zbl 1236.37038Liu, Cheng-Shi 1 2011 Lattice gluon propagator in the Landau gauge: a study using anisotropic lattices. Zbl 1175.81202Gong, M.; Chen, Y.; Meng, G.; Liu, C. 1 2009 Implication of entropy flow for the development of a system as suggested by the life cycle of a hurricane. Zbl 1195.86009Liu, C.; Luo, Z.; Liu, Y.; Yu, H.; Zhou, X.; Wang, D.; Ma, L.; Xu, H. 1 2010 Nonsymmetric entropy and maximum nonsymmetric entropy principle. Zbl 1198.94065Liu, Cheng-Shi 1 2009 Ornstein-Uhlenbeck process, Cauchy process, and Ornstein-Uhlenbeck-Cauchy process on a circle. Zbl 1308.60094Liu, Cheng-Shi 1 2013 Application of a new algebraic dynamical algorithm to cylindrical nonlinear Schrödinger equation. Zbl 1376.37110Wang, Chun-Yan; Liu, Cheng-Shi 1 2014 Hierarchical shape modeling for automatic face localization. Zbl 1039.68675Liu, C.; Shum, H.-Y.; Zhang, C. 1 2002 Exactly solving some typical Riemann-Liouville fractional models by a general method of separation of variables. Zbl 1451.26010Liu, Cheng-Shi 1 2020 High-order mixed weighted compact and non-compact scheme for shock and small length scale interaction. Zbl 1278.76049Stipcich, G.; Fu, H.; Liu, C. 1 2013 Dynamic steady-state stress field in a web during slitting. Zbl 1111.74522Liu, C.; Lu, H.; Huang, Y. 1 2005 Exactly solving some typical Riemann-Liouville fractional models by a general method of separation of variables. Zbl 1451.26010Liu, Cheng-Shi 1 2020 Counterexamples on Jumarie’s three basic fractional calculus formulae for non-differentiable continuous functions. Zbl 1390.26011Liu, Cheng-shi 9 2018 Inventory competition in a dual-channel supply chain with delivery lead time consideration. Zbl 1443.90081Yang, J. Q.; Zhang, X. M.; Fu, H. Y.; Liu, C. 7 2017 The renormalization method based on the Taylor expansion and applications for asymptotic analysis. Zbl 1375.35082Liu, Cheng-Shi 4 2017 On the local fractional derivative of everywhere non-differentiable continuous functions on intervals. Zbl 1473.26007Liu, Cheng-shi 2 2017 Counterexamples on Jumarie’s two basic fractional calculus formulae. Zbl 1331.26010Liu, Cheng-shi 32 2015 An improved interpolating element-free Galerkin method based on nonsingular weight functions. Zbl 1407.74091Sun, F. X.; Liu, C.; Cheng, Y. M. 6 2014 Application of a new algebraic dynamical algorithm to cylindrical nonlinear Schrödinger equation. Zbl 1376.37110Wang, Chun-Yan; Liu, Cheng-Shi 1 2014 Ornstein-Uhlenbeck process, Cauchy process, and Ornstein-Uhlenbeck-Cauchy process on a circle. Zbl 1308.60094Liu, Cheng-Shi 1 2013 High-order mixed weighted compact and non-compact scheme for shock and small length scale interaction. Zbl 1278.76049Stipcich, G.; Fu, H.; Liu, C. 1 2013 The essence of the generalized Taylor theorem as the foundation of the homotopy analysis method. Zbl 1221.65207Liu, Cheng-Shi 9 2011 Trial equation method based on symmetry and applications to nonlinear equations arising in mathematical physics. Zbl 1215.35142Liu, Cheng-Shi 7 2011 How many first integrals imply integrability in infinite-dimensional Hamilton system. Zbl 1236.37038Liu, Cheng-Shi 1 2011 Applications of complete discrimination system for polynomial for classifications of traveling wave solutions to nonlinear differential equations. Zbl 1205.35262Liu, Cheng-Shi 36 2010 The essence of the homotopy analysis method. Zbl 1194.34010Liu, Cheng-Shi 20 2010 Comparison of a general series expansion method and the homotopy analysis method. Zbl 1195.65145Liu, Cheng-Shi; Liu, Yang 6 2010 New trial equation methods and exact solutions to some nonlinear mathematical physical equations. Zbl 1194.34005Liu, Cheng-Shi 2 2010 Implication of entropy flow for the development of a system as suggested by the life cycle of a hurricane. Zbl 1195.86009Liu, C.; Luo, Z.; Liu, Y.; Yu, H.; Zhou, X.; Wang, D.; Ma, L.; Xu, H. 1 2010 Exponential function rational expansion method for nonlinear differential-difference equations. Zbl 1197.35243Liu, Cheng-Shi 12 2009 Canonical-like transformation method and exact solutions to a class of diffusion equations. Zbl 1198.81094Liu, Cheng-Shi 6 2009 Lattice gluon propagator in the Landau gauge: a study using anisotropic lattices. Zbl 1175.81202Gong, M.; Chen, Y.; Meng, G.; Liu, C. 1 2009 Nonsymmetric entropy and maximum nonsymmetric entropy principle. Zbl 1198.94065Liu, Cheng-Shi 1 2009 Representations and classification of traveling wave solutions to sinh-Gordon equation. Zbl 1392.35063Liu, Cheng-Shi 19 2008 Solution of ODE \(u''+ p(u)(u')^2+q(u)=0\) and applications to classifications of all single travelling wave solutions to some nonlinear mathematical physics equations. Zbl 1392.35064Liu, Cheng-Shi 10 2008 Classification of all single travelling wave solutions to Calogero-Degasperis-Focas equation. Zbl 1267.35065Liu, Cheng-Shi 16 2007 Trial equation method and its applications to nonlinear evolution equations. Zbl 1202.35059Liu, Cheng Shi 21 2005 Using the trial equation method to obtain exact solutions for two kinds of KdV equations with variable coefficients. Zbl 1202.35236Liu, Cheng Shi 10 2005 Dynamic steady-state stress field in a web during slitting. Zbl 1111.74522Liu, C.; Lu, H.; Huang, Y. 1 2005 Computational isotropic-workhardening rate-independent elastoplasticity. Zbl 1110.74592Mukherjee, S.; Liu, C.-S. 2 2003 Hierarchical shape modeling for automatic face localization. Zbl 1039.68675Liu, C.; Shum, H.-Y.; Zhang, C. 1 2002 Existence and stability for mathematical models of sedimentation-consolidation processes in several space dimensions. Zbl 0995.35050Bürger, R.; Liu, C.; Wendland, W. L. 11 2001 Preconditioned multigrid methods for unsteady incompressible flows. Zbl 0908.76064Liu, C.; Zheng, X.; Sung, C. H. 131 1998 High order finite difference and multigrid methods for spatially evolving instability in a planar channel. Zbl 0769.76038Liu, C.; Liu, Z. 8 1993 Finite-element modelling of deformation and spread in slab rolling. Zbl 0604.73046Liu, C.; Hartley, P.; Sturgess, C. E. N.; Rowe, G. W. 2 1987 Tilting instability of a cylindrical spheromak. Zbl 0469.76119Bondeson, A.; Marklin, G.; An, Z. G.; Chen, H. H.; Lee, Y. C.; Liu, C. S. 2 1981 Convective cell formation and anomalous diffusion due to electromagnetic drift wave turbulence. Zbl 0471.76122Weiland, J.; Sanuki, Heiji; Liu, C. S. 1 1981 Self-modulation of ion Bernstein waves. Zbl 0447.76092Myra, J. R.; Liu, C. S. 2 1980 Stability of shear flow in a magnetized plasma. Zbl 0429.76028Lau, Y. Y.; Liu, C. S. 2 1980 Integrability of nonlinear Hamiltonian systems by inverse scattering method. Zbl 1063.37559Chen, H. H.; Lee, Y. C.; Liu, C. S. 131 1979 Nonlinear wave and soliton propagation in media with arbitrary inhomogeneities. Zbl 0414.76016Chen, H. H.; Liu, C. S. 11 1978 all cited Publications top 5 cited Publications all top 5 Cited by 209 Authors 8 Ekici, Mehmet 7 Liu, Chengshi 7 Sönmezoğlu, Abdullah 5 Mirzazadeh, Mohammad 5 Pandir, Yusuf 5 Tarasov, Vasily E. 4 Gepreel, Khaled A. 4 Gurefe, Yusuf 4 Xia, Yonghui 3 Eslami, Mostafa 3 Kai, Yue 3 Misirli, Emine E. 3 Zhou, Qin 2 Abbasbandy, Saeid 2 Bai, Yuzhen 2 Baskonus, Haci Mehmet 2 Biswas, Anjan 2 Bulut, Hasan 2 Cao, Damin 2 Chenaghlou, Alireza 2 Dai, Chaoqing 2 Dong, Huanhe 2 Guo, Baoyong 2 Gupta, Rajesh Kumar 2 Hayat, Tasawar 2 Injrou, Sami 2 Jabbari, Azizeh 2 Kheiri, Hossein 2 Machado, José António Tenreiro 2 Mohammadi, Vahid 2 Nofal, Taher A. 2 Odibat, Zaid M. 2 Ozyapici, Ali 2 Raza, Nauman 2 Shehata, Abdel Rahman M. 2 Shivanian, Elyas 2 Singla, Komal 2 van Gorder, Robert Ashton 2 Wang, Yueyue 2 Wu, Gangzhou 2 Yıldırım, Ahmet 2 Zhang, Bei 2 Zhu, Wenjing 1 Afzal, Usman 1 Aghaei, Sohrab 1 Ahmed, Naveed 1 Akram, Mohammad 1 Akturk, Tolga 1 Akuamoah, Saviour Worlanyo 1 Al-Thobaiti, Ali A. 1 Alderremy, A. A. 1 Alhakim, Abdulaziz 1 Alhothuali, Mohammed Shabab 1 Alotaibi, Fawziah M. 1 Al-saedi, Ahmed Eid Salem 1 Aly, Shaban A. H. 1 Ashraf, M. Bilal 1 Atanackovic, Teodor M. 1 Ayimah, John Coker 1 Băleanu, Dumitru I. 1 Baliarsingh, Pinakadhar 1 Bashar, Md Habibul 1 Bataineh, Ahmad Sami 1 Bekir, Ahmet 1 Belić, Milivoj R. 1 Bilgehan, Bulent 1 Bira, Bibekananda 1 Bonsi, Prosper Obed 1 Chen, Huaitang 1 Chen, Shuangqing 1 Chen, Yangquan 1 Cheng, Yanjun 1 Coley, Alan Albert 1 Contreras-Reyes, Javier E. 1 Cresson, Jacky 1 Curato, Gianbiagio 1 Dai, Dong-Yan 1 Das, Subir K. 1 de Oliveira, Edmundo Capelas 1 Deeb, Nadia 1 Deng, Xijun 1 Deniz, Sinan 1 Ding, Jian 1 Du, Lijuan 1 Du, Qing 1 Duran, Durgun 1 Dutta, Hemen 1 El-Tawil, Magdy A. 1 Fakhar, Kamran 1 Fan, Huiling 1 Fardi, Mojtaba 1 Foyjonnesa 1 Fu, Maozhun 1 Gao, Wenjie 1 García-Portugués, Eduardo 1 Gatheral, Jim 1 Ghasemi, Mehdi 1 Ghosh, Pradyumna 1 Guo, Lihong 1 Hamelryck, Thomas ...and 109 more Authors all top 5 Cited in 60 Serials 15 Applied Mathematics and Computation 11 Nonlinear Dynamics 8 Communications in Nonlinear Science and Numerical Simulation 5 Advances in Difference Equations 4 Chaos, Solitons and Fractals 4 International Journal of Numerical Methods for Heat & Fluid Flow 4 Abstract and Applied Analysis 4 Fractional Calculus & Applied Analysis 3 Applied Mathematics Letters 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Physica A 2 Physics Letters. A 2 Numerical Algorithms 2 Mathematical Problems in Engineering 2 Discrete Dynamics in Nature and Society 2 Qualitative Theory of Dynamical Systems 2 Nonlinear Analysis. Modelling and Control 2 Journal of Applied Mathematics 2 Advances in Mathematical Physics 2 International Journal of Differential Equations 2 Analysis and Mathematical Physics 2 Journal of Applied Analysis and Computation 2 International Journal of Applied and Computational Mathematics 1 General Relativity and Gravitation 1 Journal of Computational Physics 1 Reports on Mathematical Physics 1 Calcolo 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Quaestiones Mathematicae 1 Applied Mathematics and Mechanics. (English Edition) 1 Mathematical and Computer Modelling 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Russian Journal of Mathematical Physics 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Fractals 1 Complexity 1 Journal of Discrete Mathematical Sciences & Cryptography 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Entropy 1 International Journal of Geometric Methods in Modern Physics 1 The Australian Journal of Mathematical Analysis and Applications 1 Foundations of Physics 1 Waves in Random and Complex Media 1 Inverse Problems in Science and Engineering 1 Advances in High Energy Physics 1 International Journal of Biomathematics 1 Communications in Theoretical Physics 1 Advances in Differential Equations and Control Processes 1 Statistics and Computing 1 S\(\vec{\text{e}}\)MA Journal 1 ISRN Computational Mathematics 1 Fractional Differential Calculus 1 Journal of Mathematics all top 5 Cited in 32 Fields 83 Partial differential equations (35-XX) 31 Ordinary differential equations (34-XX) 18 Numerical analysis (65-XX) 16 Real functions (26-XX) 8 Fluid mechanics (76-XX) 6 Probability theory and stochastic processes (60-XX) 6 Quantum theory (81-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Special functions (33-XX) 4 Difference and functional equations (39-XX) 4 Biology and other natural sciences (92-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year