## Liu, Chengshi

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 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
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### 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
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### 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
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### 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)

### 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 0908.76064
Liu, C.; Zheng, X.; Sung, C. H.
1998
Integrability of nonlinear Hamiltonian systems by inverse scattering method. Zbl 1063.37559
Chen, H. H.; Lee, Y. C.; Liu, C. S.
1979
Applications of complete discrimination system for polynomial for classifications of traveling wave solutions to nonlinear differential equations. Zbl 1205.35262
Liu, Cheng-Shi
2010
Counterexamples on Jumarie’s two basic fractional calculus formulae. Zbl 1331.26010
Liu, Cheng-shi
2015
Trial equation method and its applications to nonlinear evolution equations. Zbl 1202.35059
Liu, Cheng Shi
2005
The essence of the homotopy analysis method. Zbl 1194.34010
Liu, Cheng-Shi
2010
Representations and classification of traveling wave solutions to sinh-Gordon equation. Zbl 1392.35063
Liu, Cheng-Shi
2008
Classification of all single travelling wave solutions to Calogero-Degasperis-Focas equation. Zbl 1267.35065
Liu, Cheng-Shi
2007
Exponential function rational expansion method for nonlinear differential-difference equations. Zbl 1197.35243
Liu, Cheng-Shi
2009
Nonlinear wave and soliton propagation in media with arbitrary inhomogeneities. Zbl 0414.76016
Chen, H. H.; Liu, C. S.
1978
Existence and stability for mathematical models of sedimentation-consolidation processes in several space dimensions. Zbl 0995.35050
Bürger, R.; Liu, C.; Wendland, W. L.
2001
Using the trial equation method to obtain exact solutions for two kinds of KdV equations with variable coefficients. Zbl 1202.35236
Liu, Cheng Shi
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 1392.35064
Liu, Cheng-Shi
2008
The essence of the generalized Taylor theorem as the foundation of the homotopy analysis method. Zbl 1221.65207
Liu, Cheng-Shi
2011
Counterexamples on Jumarie’s three basic fractional calculus formulae for non-differentiable continuous functions. Zbl 1390.26011
Liu, Cheng-shi
2018
High order finite difference and multigrid methods for spatially evolving instability in a planar channel. Zbl 0769.76038
Liu, C.; Liu, Z.
1993
Trial equation method based on symmetry and applications to nonlinear equations arising in mathematical physics. Zbl 1215.35142
Liu, Cheng-Shi
2011
Inventory competition in a dual-channel supply chain with delivery lead time consideration. Zbl 1443.90081
Yang, J. Q.; Zhang, X. M.; Fu, H. Y.; Liu, C.
2017
Comparison of a general series expansion method and the homotopy analysis method. Zbl 1195.65145
Liu, Cheng-Shi; Liu, Yang
2010
Canonical-like transformation method and exact solutions to a class of diffusion equations. Zbl 1198.81094
Liu, Cheng-Shi
2009
An improved interpolating element-free Galerkin method based on nonsingular weight functions. Zbl 1407.74091
Sun, F. X.; Liu, C.; Cheng, Y. M.
2014
The renormalization method based on the Taylor expansion and applications for asymptotic analysis. Zbl 1375.35082
Liu, Cheng-Shi
2017
Finite-element modelling of deformation and spread in slab rolling. Zbl 0604.73046
Liu, C.; Hartley, P.; Sturgess, C. E. N.; Rowe, G. W.
1987
Tilting instability of a cylindrical spheromak. Zbl 0469.76119
Bondeson, A.; Marklin, G.; An, Z. G.; Chen, H. H.; Lee, Y. C.; Liu, C. S.
1981
Self-modulation of ion Bernstein waves. Zbl 0447.76092
Myra, J. R.; Liu, C. S.
1980
On the local fractional derivative of everywhere non-differentiable continuous functions on intervals. Zbl 1473.26007
Liu, Cheng-shi
2017
New trial equation methods and exact solutions to some nonlinear mathematical physical equations. Zbl 1194.34005
Liu, Cheng-Shi
2010
Computational isotropic-workhardening rate-independent elastoplasticity. Zbl 1110.74592
Mukherjee, S.; Liu, C.-S.
2003
Stability of shear flow in a magnetized plasma. Zbl 0429.76028
Lau, Y. Y.; Liu, C. S.
1980
Convective cell formation and anomalous diffusion due to electromagnetic drift wave turbulence. Zbl 0471.76122
Weiland, J.; Sanuki, Heiji; Liu, C. S.
1981
How many first integrals imply integrability in infinite-dimensional Hamilton system. Zbl 1236.37038
Liu, Cheng-Shi
2011
Lattice gluon propagator in the Landau gauge: a study using anisotropic lattices. Zbl 1175.81202
Gong, M.; Chen, Y.; Meng, G.; Liu, C.
2009
Implication of entropy flow for the development of a system as suggested by the life cycle of a hurricane. Zbl 1195.86009
Liu, C.; Luo, Z.; Liu, Y.; Yu, H.; Zhou, X.; Wang, D.; Ma, L.; Xu, H.
2010
Nonsymmetric entropy and maximum nonsymmetric entropy principle. Zbl 1198.94065
Liu, Cheng-Shi
2009
Ornstein-Uhlenbeck process, Cauchy process, and Ornstein-Uhlenbeck-Cauchy process on a circle. Zbl 1308.60094
Liu, Cheng-Shi
2013
Application of a new algebraic dynamical algorithm to cylindrical nonlinear Schrödinger equation. Zbl 1376.37110
Wang, Chun-Yan; Liu, Cheng-Shi
2014
Hierarchical shape modeling for automatic face localization. Zbl 1039.68675
Liu, C.; Shum, H.-Y.; Zhang, C.
2002
Exactly solving some typical Riemann-Liouville fractional models by a general method of separation of variables. Zbl 1451.26010
Liu, Cheng-Shi
2020
High-order mixed weighted compact and non-compact scheme for shock and small length scale interaction. Zbl 1278.76049
Stipcich, G.; Fu, H.; Liu, C.
2013
Dynamic steady-state stress field in a web during slitting. Zbl 1111.74522
Liu, C.; Lu, H.; Huang, Y.
2005
Exactly solving some typical Riemann-Liouville fractional models by a general method of separation of variables. Zbl 1451.26010
Liu, Cheng-Shi
2020
Counterexamples on Jumarie’s three basic fractional calculus formulae for non-differentiable continuous functions. Zbl 1390.26011
Liu, Cheng-shi
2018
Inventory competition in a dual-channel supply chain with delivery lead time consideration. Zbl 1443.90081
Yang, J. Q.; Zhang, X. M.; Fu, H. Y.; Liu, C.
2017
The renormalization method based on the Taylor expansion and applications for asymptotic analysis. Zbl 1375.35082
Liu, Cheng-Shi
2017
On the local fractional derivative of everywhere non-differentiable continuous functions on intervals. Zbl 1473.26007
Liu, Cheng-shi
2017
Counterexamples on Jumarie’s two basic fractional calculus formulae. Zbl 1331.26010
Liu, Cheng-shi
2015
An improved interpolating element-free Galerkin method based on nonsingular weight functions. Zbl 1407.74091
Sun, F. X.; Liu, C.; Cheng, Y. M.
2014
Application of a new algebraic dynamical algorithm to cylindrical nonlinear Schrödinger equation. Zbl 1376.37110
Wang, Chun-Yan; Liu, Cheng-Shi
2014
Ornstein-Uhlenbeck process, Cauchy process, and Ornstein-Uhlenbeck-Cauchy process on a circle. Zbl 1308.60094
Liu, Cheng-Shi
2013
High-order mixed weighted compact and non-compact scheme for shock and small length scale interaction. Zbl 1278.76049
Stipcich, G.; Fu, H.; Liu, C.
2013
The essence of the generalized Taylor theorem as the foundation of the homotopy analysis method. Zbl 1221.65207
Liu, Cheng-Shi
2011
Trial equation method based on symmetry and applications to nonlinear equations arising in mathematical physics. Zbl 1215.35142
Liu, Cheng-Shi
2011
How many first integrals imply integrability in infinite-dimensional Hamilton system. Zbl 1236.37038
Liu, Cheng-Shi
2011
Applications of complete discrimination system for polynomial for classifications of traveling wave solutions to nonlinear differential equations. Zbl 1205.35262
Liu, Cheng-Shi
2010
The essence of the homotopy analysis method. Zbl 1194.34010
Liu, Cheng-Shi
2010
Comparison of a general series expansion method and the homotopy analysis method. Zbl 1195.65145
Liu, Cheng-Shi; Liu, Yang
2010
New trial equation methods and exact solutions to some nonlinear mathematical physical equations. Zbl 1194.34005
Liu, Cheng-Shi
2010
Implication of entropy flow for the development of a system as suggested by the life cycle of a hurricane. Zbl 1195.86009
Liu, C.; Luo, Z.; Liu, Y.; Yu, H.; Zhou, X.; Wang, D.; Ma, L.; Xu, H.
2010
Exponential function rational expansion method for nonlinear differential-difference equations. Zbl 1197.35243
Liu, Cheng-Shi
2009
Canonical-like transformation method and exact solutions to a class of diffusion equations. Zbl 1198.81094
Liu, Cheng-Shi
2009
Lattice gluon propagator in the Landau gauge: a study using anisotropic lattices. Zbl 1175.81202
Gong, M.; Chen, Y.; Meng, G.; Liu, C.
2009
Nonsymmetric entropy and maximum nonsymmetric entropy principle. Zbl 1198.94065
Liu, Cheng-Shi
2009
Representations and classification of traveling wave solutions to sinh-Gordon equation. Zbl 1392.35063
Liu, Cheng-Shi
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 1392.35064
Liu, Cheng-Shi
2008
Classification of all single travelling wave solutions to Calogero-Degasperis-Focas equation. Zbl 1267.35065
Liu, Cheng-Shi
2007
Trial equation method and its applications to nonlinear evolution equations. Zbl 1202.35059
Liu, Cheng Shi
2005
Using the trial equation method to obtain exact solutions for two kinds of KdV equations with variable coefficients. Zbl 1202.35236
Liu, Cheng Shi
2005
Dynamic steady-state stress field in a web during slitting. Zbl 1111.74522
Liu, C.; Lu, H.; Huang, Y.
2005
Computational isotropic-workhardening rate-independent elastoplasticity. Zbl 1110.74592
Mukherjee, S.; Liu, C.-S.
2003
Hierarchical shape modeling for automatic face localization. Zbl 1039.68675
Liu, C.; Shum, H.-Y.; Zhang, C.
2002
Existence and stability for mathematical models of sedimentation-consolidation processes in several space dimensions. Zbl 0995.35050
Bürger, R.; Liu, C.; Wendland, W. L.
2001
Preconditioned multigrid methods for unsteady incompressible flows. Zbl 0908.76064
Liu, C.; Zheng, X.; Sung, C. H.
1998
High order finite difference and multigrid methods for spatially evolving instability in a planar channel. Zbl 0769.76038
Liu, C.; Liu, Z.
1993
Finite-element modelling of deformation and spread in slab rolling. Zbl 0604.73046
Liu, C.; Hartley, P.; Sturgess, C. E. N.; Rowe, G. W.
1987
Tilting instability of a cylindrical spheromak. Zbl 0469.76119
Bondeson, A.; Marklin, G.; An, Z. G.; Chen, H. H.; Lee, Y. C.; Liu, C. S.
1981
Convective cell formation and anomalous diffusion due to electromagnetic drift wave turbulence. Zbl 0471.76122
Weiland, J.; Sanuki, Heiji; Liu, C. S.
1981
Self-modulation of ion Bernstein waves. Zbl 0447.76092
Myra, J. R.; Liu, C. S.
1980
Stability of shear flow in a magnetized plasma. Zbl 0429.76028
Lau, Y. Y.; Liu, C. S.
1980
Integrability of nonlinear Hamiltonian systems by inverse scattering method. Zbl 1063.37559
Chen, H. H.; Lee, Y. C.; Liu, C. S.
1979
Nonlinear wave and soliton propagation in media with arbitrary inhomogeneities. Zbl 0414.76016
Chen, H. H.; Liu, C. S.
1978
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### 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
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### 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
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### 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)