Edit Profile (opens in new tab) Liu, Chein-Shan Compute Distance To: Compute Author ID: liu.chein-shan Published as: Liu, Chein-Shan; Liu, Changchun; Liu, C.-S.; Liu, Chang Chun; Liu, Chang-Chun more...less Homepage: https://sg.linkedin.com/in/chein-shan-liu-4205a937 External Links: ORCID · ResearchGate · dblp Documents Indexed: 391 Publications since 1987 Co-Authors: 117 Co-Authors with 235 Joint Publications 3,911 Co-Co-Authors all top 5 Co-Authors 136 single-authored 31 Chang, Chih-Wen 23 Chang, Jiang-ren 18 Atluri, Satya N. 17 Hong, Hong-Ki 12 Yeih, Weichung 11 Yin, Jingxue 10 Wang, Fajie 10 Zhao, Xiaopeng 9 Liu, Aibo 8 Kuo, Chung-Lun 8 Lin, Ji 8 Wang, Zhao 7 Chen, Yung-Wei 7 Li, Botong 6 Tang, Hui 6 Zhang, Xiaoli 5 Li, Pingping 5 Li, Zhenbang 4 Chen, Bosheng 4 Ku, Cheng-Yu 4 Lian, Songzhe 4 Liu, Dongjie 4 Qiu, Lin 4 Wang, Jiaojiao 3 El-Zahar, Essam Roshdy 3 Gu, Yan 3 Lee, Tsung-Lin 3 Lu, Hexiang 3 Mei, Ming 3 Xiang, Xi 3 Yang, Jiaqi 3 Zheng, Li 2 Chan, I-Yao 2 Chang, Chun-Ming 2 Chen, Ching-Shyang 2 Chen, Hantaw 2 Chi, Chih-Chang 2 Dai, Honghua 2 Fan, Chia-Ming 2 Fu, Zhuojia 2 Gao, Hongjun 2 Guan, Ping 2 Han, Jiayi 2 Hua, Qingsong 2 Jhao, Wun-Sin 2 Li, Huilai 2 Li, Songzhi 2 Qu, Wenzhen 2 Wang, Huimin 2 Yuan, Yunfei 2 Zhou, Juan 1 Abbasbandy, Saeid 1 Akbarian, A. 1 Azfar, F. 1 Ball, Alan A. 1 Bousson, N. 1 Chang, Jiang-Jhy 1 Chen, Tong 1 Chen, Wen 1 Chiang, Chia-Yen 1 Deng, Aimin 1 Dong, Leiting 1 Du Chengxin 1 Du, Chengxin 1 Feng, Zhaosheng 1 Fernández, Juan Pablo 1 Gao, Junchao 1 Giurgiu, G. 1 Gómez-Ceballos, G. 1 Guan, Pai-Chen 1 Guan, Yujing 1 Guo, Jinyong 1 Hagger, Raffael 1 Hashemi, Mir Sajjad 1 He, Cheng 1 Hong, Yongxing 1 Jin, Manli 1 Karmakar, Chandan Kumar 1 Kreps, M. 1 Ku, Yu-Ling 1 Kuhr, Tomas 1 Kuo, Leihsin 1 Lang, Honglei 1 Lee, Hung-Chang 1 Li, Chi-Fu 1 Li, Peng 1 Li, Tiezhu 1 Lin, Jing-Hong 1 Liou, D.-Y. 1 Liu, Huan 1 Liu, Kanglin 1 Liu, Liwei 1 Liu, Shilong 1 Liu, Shutang 1 Liu, Y. 1 Loth, Eric 1 Lu, Jun 1 Ma, Yihang 1 Ma, Yitong 1 Miao, Lixin ...and 43 more Co-Authors all top 5 Serials 72 CMES. Computer Modeling in Engineering & Sciences 25 Engineering Analysis with Boundary Elements 18 Applied Mathematics Letters 16 Inverse Problems in Science and Engineering 12 International Journal of Heat and Mass Transfer 11 International Journal of Non-Linear Mechanics 10 International Journal of Solids and Structures 9 Applicable Analysis 8 Mathematics and Computers in Simulation 8 CMC. Computers, Materials, and Continua 7 Computers & Mathematics with Applications 7 Applied Mathematical Modelling 7 Boundary Value Problems 6 Journal of Mathematical Analysis and Applications 6 Mathematical Methods in the Applied Sciences 6 Electronic Journal of Differential Equations (EJDE) 6 Communications in Nonlinear Science and Numerical Simulation 6 Journal of Applied Mathematics 5 Journal of Computational and Applied Mathematics 5 Communications on Pure and Applied Analysis 4 Journal of Sound and Vibration 4 Applied Mathematics and Computation 4 Applied Mathematics and Optimization 4 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 4 International Journal of Applied Mathematics 3 Journal of Computational Physics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Northeastern Mathematical Journal 3 Numerical Methods for Partial Differential Equations 3 Bulletin of the Polish Academy of Sciences, Mathematics 3 Abstract and Applied Analysis 3 Electronic Journal of Qualitative Theory of Differential Equations 3 Lobachevskii Journal of Mathematics 2 Acta Mechanica 2 Journal of Applied Mechanics 2 Rocky Mountain Journal of Mathematics 2 Annales Polonici Mathematici 2 Archiv der Mathematik 2 Journal of Differential Equations 2 Mathematica Slovaca 2 Acta Applicandae Mathematicae 2 Bulletin of the Iranian Mathematical Society 2 European Journal of Operational Research 2 Journal of Partial Differential Equations 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Mathematical Problems in Engineering 2 Nonlinear Dynamics 2 Acta Mathematica Sinica. 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Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Integral Equations and Operator Theory 1 International Journal for Numerical Methods in Engineering 1 Journal of Optimization Theory and Applications 1 Monatshefte für Mathematik 1 Soochow Journal of Mathematics 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 International Journal of Production Research 1 Computers & Operations Research 1 Asia-Pacific Journal of Operational Research 1 Journal of Dalian University of Technology 1 Applications of Mathematics 1 Journal of Elasticity 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Inverse and Ill-Posed Problems 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Science in China. Series E 1 Journal of Inequalities and Applications 1 Journal of Combinatorial Optimization 1 European Journal of Mechanics. A. Solids 1 Journal of High Energy Physics 1 Boletín de la Asociación Matemática Venezolana 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Portugaliae Mathematica. Nova Série 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Pure and Applied Mathematics 1 Miskolc Mathematical Notes 1 Advances in Difference Equations 1 Communications in Mathematical Analysis 1 Computational & Mathematical Methods in Medicine 1 Communications in Computational Physics 1 Asian-European Journal of Mathematics ...and 4 more Serials all top 5 Fields 182 Numerical analysis (65-XX) 162 Partial differential equations (35-XX) 53 Mechanics of deformable solids (74-XX) 39 Ordinary differential equations (34-XX) 36 Fluid mechanics (76-XX) 22 Classical thermodynamics, heat transfer (80-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 15 Biology and other natural sciences (92-XX) 12 Mechanics of particles and systems (70-XX) 11 Operations research, mathematical programming (90-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Systems theory; control (93-XX) 5 Integral equations (45-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Approximations and expansions (41-XX) 3 Differential geometry (53-XX) 3 Optics, electromagnetic theory (78-XX) 3 Information and communication theory, circuits (94-XX) 2 Topological groups, Lie groups (22-XX) 2 Integral transforms, operational calculus (44-XX) 2 Computer science (68-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 304 Publications have been cited 1,961 times in 844 Documents Cited by ▼ Year ▼ Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions. Zbl 1359.65222Lin, Ji; Chen, C. S.; Liu, Chein-Shan; Lu, Jun 60 2016 Cone of non-linear dynamical system and group preserving schemes. Zbl 1243.65084Liu, Chein-Shan 59 2001 The Lie-group shooting method for solving the Bratu equation. Zbl 1222.65067Abbasbandy, S.; Hashemi, M. S.; Liu, Chein-Shan 53 2011 Group preserving scheme for backward heat conduction problems. Zbl 1100.80005Liu, Chein-Shan 49 2004 An equilibrated method of fundamental solutions to choose the best source points for the Laplace equation. Zbl 1352.65637Liu, Chein-Shan 45 2012 A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equation. Zbl 1244.65188Liu, Chein-Shan 39 2008 Optimal control for the convective Cahn-Hilliard equation in 2D case. Zbl 1298.49013Zhao, Xiaopeng; Liu, Changchun 39 2014 Optimal sources in the MFS by minimizing a new merit function: energy gap functional. Zbl 1410.65475Wang, Fajie; Liu, Chein-Shan; Qu, Wenzhen 36 2018 A modified Trefftz method for two-dimensional Laplace equation considering the domain’s characteristic length. Zbl 1232.65157Liu, Chein-Shan 35 2007 An effectively modified direct Trefftz method for 2D potential problems considering the domain’s characteristic length. Zbl 1259.65183Liu, Chein-Shan 34 2007 A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperature. Zbl 1157.80395Liu, Chein-Shan 33 2009 Optimal control of the convective Cahn-Hilliard equation. Zbl 1269.49003Zhao, Xiaopeng; Liu, Changchun 30 2013 Numerical solution of the Laplacian Cauchy problem by using a better postconditioning collocation Trefftz method. Zbl 1352.65569Liu, Chein-Shan; Atluri, Satya N. 29 2013 Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation. Zbl 06892651Wang, Fajie; Hua, Qingsong; Liu, Chein-Shan 29 2018 Optimal control problem for viscous Cahn-Hilliard equation. Zbl 1228.49008Zhao, Xiaopeng; Liu, Changchun 26 2011 The Lie-group shooting method for nonlinear two-point boundary value problems exhibiting multiple solutions. Zbl 1232.65108Liu, Chein-Shan 22 2006 Optimally scaled vector regularization method to solve ill-posed linear problems. Zbl 1259.65067Liu, Chein-Shan 20 2012 Novel algorithms based on the conjugate gradient method for inverting ill-conditioned matrices, and a new regularization method to solve ill-posed linear systems. Zbl 1231.65071Liu, Chein-Shan; Hong, Hong-Ki; Atluri, Satya N. 20 2010 A new shooting method for quasi-boundary regularization of backward heat conduction problems. Zbl 1123.80005Chang, Jiang-Ren; Liu, Chein-Shan; Chang, Chih-Wen 20 2007 The Lie-group shooting method for singularly perturbed two-point boundary value problems. Zbl 1152.65452Liu, Chein-Shan 20 2006 A highly accurate MCTM for inverse Cauchy problems of Laplace equation in arbitrary plane domains. Zbl 1153.65359Liu, Chein-Shan 20 2008 A two-side equilibration method to reduce the condition number of an ill-posed linear system. Zbl 1356.65116Liu, Chein-Shan 19 2013 Past cone dynamics and backward group preserving schemes for backward heat conduction problems. Zbl 1232.65129Liu, C.-S.; Chang, C.-W.; Chang, J.-R. 18 2006 A highly accurate collocation Trefftz method for solving the Laplace equation in the doubly connected domains. Zbl 1130.65114Liu, Chein-Shan 17 2008 A novel time integration method for solving a large system of non-linear algebraic equations. Zbl 1152.65428Liu, Chein-Shan; Atluri, Satya N. 17 2008 One-step GPS for the estimation of temperature-dependent thermal conductivity. Zbl 1189.80038Liu, Chein-Shan 17 2006 A fourth order parabolic equation with nonlinear principal part. Zbl 1128.35048Liu, Changchun 16 2008 Efficient shooting methods for the second-order ordinary differential equations. Zbl 1152.65453Liu, Chein-Shan 16 2006 An efficient backward group preserving scheme for the backward in time Burgers equation. Zbl 1232.65130Liu, Chein-Shan 15 2006 Fictitious time integration method of fundamental solutions with Chebyshev polynomials for solving Poisson-type nonlinear PDEs. Zbl 1231.65243Tsai, Chia-Cheng; Liu, Chein-Shan; Yeih, Wei-Chung 15 2010 A multiple-scale Trefftz method for an incomplete Cauchy problem of biharmonic equation. Zbl 1287.65103Liu, Chein-Shan 15 2013 A multiple-scale Pascal polynomial for 2D Stokes and inverse Cauchy-Stokes problems. Zbl 1351.76219Liu, Chein-Shan; Young, D. L. 14 2016 A multiple-scale Pascal polynomial triangle solving elliptic equations and inverse Cauchy problems. Zbl 1403.65170Liu, Chein-Shan; Kuo, Chung-Lun 14 2016 Optimal control for a sixth order nonlinear parabolic equation. Zbl 1305.49006Liu, Changchun; Wang, Zhao 14 2015 A highly accurate technique for interpolations using very high-order polynomials, and its applications to some ill-posed linear problems. Zbl 1232.65021Liu, Chein-Shan; Atluri, Satya N. 13 2009 On the convective Cahn-Hilliard equation with degenerate mobility. Zbl 1158.35077Liu, Changchun 13 2008 The Lie-group shooting method for solving nonlinear singularly perturbed boundary value problems. Zbl 1244.65113Liu, Chein-Shan 13 2012 Time periodic solutions for a sixth order nonlinear parabolic equation in two space dimensions. Zbl 1284.35037Liu, Changchun; Wang, Zhao 13 2014 On solving the ill-conditioned system \(Ax=b\): general-purpose conditioners obtained from the boundary-collocation solution of the Laplace equation, using Trefftz expansions with multiple length scales. Zbl 1357.65246Liu, Chein-Shan; Yeih, Weichung; Atluri, Satya N. 12 2009 An LGSM to identify nonhomogeneous heat conductivity functions by an extra measurement of temperature. Zbl 1144.80374Liu, Chein-Shan 11 2008 Optimal shape parameter in the MQ-RBF by minimizing an energy gap functional. Zbl 1411.35085Liu, Chein-Shan; Liu, Dongjie 11 2018 A fictitious time integration method for the numerical solution of the Fredholm integral equation and for numerical differentiation of noisy data, and its relation to the filter theory. Zbl 1357.65070Liu, Chein-Shan; Atluri, Satya N. 11 2009 Solving an inverse Sturm-Liouville problem by a Lie-group method. Zbl 1154.34005Liu, Chein-Shan 11 2008 The Lie-group shooting method for multiple-solutions of Falkner-Skan equation under suction-injection conditions. Zbl 1203.74146Liu, Chein-Shan; Chang, Jiang-Ren 11 2008 Internal symmetry in the constitutive model of perfect elastoplasticity. Zbl 1068.74518Hong, Hong-Ki; Liu, Chein-Shan 11 2000 Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions. Zbl 1263.35127Liu, Changchun 10 2013 A group preserving scheme for inverse heat conduction problems. Zbl 1232.80005Chang, C.-W.; Liu, C.-S.; Chang, J.-R. 10 2005 Regularity of solutions for a fourth order parabolic equation. Zbl 1129.35019Liu, Changchun 10 2006 The fourth-order group preserving methods for the integrations of ordinary differential equations. Zbl 1357.65088Lee, Hung-Chang; Liu, Chein-Shan 10 2009 Internal symmetry in bilinear elastoplasticity. Zbl 1342.74025Hong, Hong-Ki; Liu, Chein-Shan 10 1999 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. 10 2017 A dynamical Tikhonov regularization for solving ill-posed linear algebraic systems. Zbl 1259.65068Liu, Chein-Shan 9 2013 The existence of global attractor for a fourth-order parabolic equation. Zbl 1270.35125Zhao, Xiaopeng; Liu, Changchun 9 2013 Identification of temperature-dependent thermophysical properties in a partial differential equation subject to extra final measurement data. Zbl 1129.65064Liu, Chein-Shan 9 2007 Qualitative properties for a sixth-order thin film equation. Zbl 1221.35101Liu, Changchun 9 2010 Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz method. Zbl 1403.65164Ku, Cheng-Yu; Kuo, Chung-Lun; Fan, Chia-Ming; Liu, Chein-Shan; Guan, Pai-Chen 9 2015 Improving the ill-conditioning of the method of fundamental solutions for 2D Laplace equation. Zbl 1232.65170Liu, Chein-Shan 8 2008 Non-sticking oscillation formulae for Coulomb friction under harmonic loading. Zbl 1237.70078Hong, H.-K.; Liu, C.-S. 8 2001 Coulomb friction oscillator: modelling and responses to harmonic loads and base excitations. Zbl 1237.70079Hong, H.-K.; Liu, C.-S. 8 2000 Lorentz group on Minkowski spacetime for construction of the two basic principles of plasticity. Zbl 1345.74022Hong, Hong-Ki; Liu, Chein-Shan 8 2001 A regularized integral equation method for the inverse geometry heat conduction problem. Zbl 1154.80368Liu, Chein-Shan; Chang, Chih-Wen; Chiang, Chia-Yen 8 2008 An adaptive finite volume method for incompressible heat flow problems in solidification. Zbl 1045.76026Lan, C. W.; Liu, C. C.; Hsu, C. M. 8 2002 A self-adaptive LGSM to recover initial condition or heat source of one-dimensional heat conduction equation by using only minimal boundary thermal data. Zbl 1211.80035Liu, Chein-Shan 8 2011 Internal symmetry groups for the Drucker-Prager material model of plasticity and numerical integrating methods. Zbl 1082.74505Liu, Chein-Shan 8 2004 A Lie-group adaptive differential quadrature method to identify an unknown force in an Euler-Bernoulli beam equation. Zbl 1356.74108Liu, Chein-Shan 8 2012 Regularity of solutions of the Cahn-Hilliard equation with concentration dependent mobility. Zbl 0984.35072Yin, Jingxue; Liu, Changchun 8 2001 The pre/post equilibrated conditioning methods to solve Cauchy problems. Zbl 1297.65136Liu, Chein-Shan 8 2014 A new algorithm for direct and backward problems of heat conduction equation. Zbl 1201.80012Chang, Chih-Wen; Liu, Chein-Shan 8 2010 A consistent numerical scheme for the von Mises mixed-hardening constitutive equations. Zbl 1254.74116Liu, Chein-Shan 7 2004 Instability of traveling waves of the convective-diffusive Cahn-Hilliard equation. Zbl 1046.35098Gao, Hongjun; Liu, Changchun 7 2004 Fast solution of three-dimensional modified Helmholtz equations by the method of fundamental solutions. Zbl 1388.65180Lin, Ji; Chen, C. S.; Liu, Chein-Shan 7 2016 Optimal control problem for the Cahn-Hilliard/Allen-Cahn equation with state constraint. Zbl 1447.49008Zhang, Xiaoli; Li, Huilai; Liu, Changchun 7 2020 A three-point BVP of time-dependent inverse heat source problems and solving by a TSLGSM. Zbl 1231.65164Yeih, Weichung; Liu, Chein-Shan 7 2009 A novel mixed group preserving scheme for the inverse Cauchy problem of elliptic equations in annular domains. Zbl 1245.65151Liu, Chein-Shan; Chang, Chih-Wen 7 2012 Nonstandard group-preserving schemes for very stiff ordinary differential equations. Zbl 1357.65090Liu, Chein-Shan 7 2005 Two-dimensional bilinear oscillator: group-preserving scheme and steady-state motion under harmonic loading. Zbl 1348.70060Liu, Chein-Shan 7 2003 A two-stage Lie-group shooting method (TSLGSM) to identify time-dependent thermal diffusivity. Zbl 1197.80041Liu, Chein-Shan 7 2010 A multiple-scale MQ-RBF for solving the inverse Cauchy problems in arbitrary plane domain. Zbl 1403.65116Liu, Chein-Shan; Chen, Wen; Fu, Zhuojia 7 2016 A Lie-group shooting method for reconstructing a past time-dependent heat source. Zbl 1262.80086Liu, Chein-Shan 7 2012 Some properties of solutions for viscous Cahn-Hilliard equation. Zbl 0928.35022Liu, Changchun; Yin, Jingxue 7 1998 A highly accurate LGSM for severely ill-posed BHCP under a large noise on the final time data. Zbl 1194.80106Liu, Chein-Shan 7 2010 Existence of solutions to the Cahn-Hilliard/Allen-Cahn equation with degenerate mobility. Zbl 1353.35124Zhang, Xiaoli; Liu, Changchun 6 2016 A multiple-direction Trefftz method for solving the multi-dimensional wave equation in an arbitrary spatial domain. Zbl 1349.65519Liu, Chein-Shan; Kuo, Chung-Lun 6 2016 Global attractor for a nonlinear model with periodic boundary value condition. Zbl 1262.35055Zhao, Xiaopeng; Liu, Changchun 6 2012 A new shooting method for solving boundary layer equations in fluid mechanics. Zbl 1232.65104Liu, Chein-Shan; Chang, Chih-Wen; Chang, Jiang-Ren 6 2008 A group preserving scheme for Burgers equation with very large Reynolds number. Zbl 1232.76012Liu, Chein-Shan 6 2006 The backward group preserving scheme for 1D backward in time advection-dispersion equation. Zbl 1425.65100Liu, Chein-Shan; Chang, Chih-Wen; Chang, Jiang-Ren 6 2010 A meshless regularized integral equation method for Laplace equation in arbitrary interior or exterior plane domains. Zbl 1184.65114Liu, Chein-Shan 6 2007 An improved interpolating element-free Galerkin method based on nonsingular weight functions. Zbl 1407.74091Sun, F. X.; Liu, C.; Cheng, Y. M. 6 2014 A spring-damping regularization and a novel Lie-group integration method for nonlinear inverse Cauchy problems. Zbl 1357.65239Liu, Chein-Shan; Kuo, Chung-Lun 6 2011 A scalar homotopy method for solving an over/under-determined system of non-linear algebraic equations. Zbl 1231.65096Liu, Chein-Shan; Yeih, Weichung; Kuo, Chung-Lun; Atluri, Satya N. 6 2009 Computing the eigenvalues of the generalized Sturm-Liouville problems based on the Lie-group \(SL(2,\mathbb R)\). Zbl 1247.65102Liu, Chein-Shan 6 2012 Applications of the modified Trefftz method for the Laplace equation. Zbl 1244.65170Chen, Yung-Wei; Liu, Chein-Shan; Chang, Jiang-Ren 6 2009 Numerical simulation of the two-dimensional sloshing problem using a multi-scaling Trefftz method. Zbl 1259.76042Chen, Yung-Wei; Yeih, Wei-Chung; Liu, Chein-Shan; Chang, Jiang-Ren 6 2012 A generalized thin film equation. Zbl 1071.35067Liu, Changchun; Yin, Jingxue; Gao, Hongjun 6 2004 An energy method of fundamental solutions for solving the inverse Cauchy problems of the Laplace equation. Zbl 1417.35230Liu, Chein-Shan; Wang, Fajie 6 2018 An efficient simultaneous estimation of temperature-dependent thermophysical properties. Zbl 1357.80010Liu, Chein-Shan 6 2006 Optimal distributed control for a new mechanochemical model in biological patterns. Zbl 1420.92006Liu, Changchun; Zhang, Xiaoli 6 2019 An optimal tri-vector iterative algorithm for solving ill-posed linear inverse problems. Zbl 1281.65100Liu, Chein-Shan 6 2013 A sixth-order thin film equation in two space dimensions. Zbl 1319.35101Liu, Changchun 6 2015 Testing facility location and dynamic capacity planning for pandemics with demand uncertainty. Zbl 07583164Liu, Kanglin; Liu, Changchun; Xiang, Xi; Tian, Zhili 1 2023 Optimal distributed control for a coupled phase-field system. Zbl 1491.49004Chen, Bosheng; Li, Huilai; Liu, Changchun 3 2022 Modified asymptotic solutions for second-order nonlinear singularly perturbed boundary value problems. Zbl 07442867Liu, Chein-Shan; Chang, Chih-Wen 2 2022 Optimal control of a fully parabolic attraction-repulsion chemotaxis model with logistic source in 2D. Zbl 1486.92020Liu, Changchun; Yuan, Yunfei 1 2022 A boundary collocation method for anomalous heat conduction analysis in functionally graded materials. Zbl 07336172Fu, Zhuo-Jia; Yang, Li-Wen; Xi, Qiang; Liu, Chein-Shan 6 2021 A boundary shape function iterative method for solving nonlinear singular boundary value problems. Zbl 07428976Liu, Chein-Shan; El-Zahar, Essam R.; Chang, Chih-Wen 4 2021 Optimal control of a new mechanochemical model with state constraint. Zbl 1469.49047Liu, Changchun; Zhang, Xiaoli 4 2021 Solving nonlinear third-order three-point boundary value problems by boundary shape functions methods. Zbl 1494.34090Lin, Ji; Zhang, Yuhui; Liu, Chein-Shan 3 2021 Optimal distributed control of a Allen-Cahn/Cahn-Hilliard system with temperature. Zbl 1486.49004Chen, Bosheng; Liu, Changchun 3 2021 A homogenization function method for inverse heat source problems in 3D functionally graded materials. Zbl 1481.74036Qiu, Lin; Lin, Ji; Wang, Fajie; Qin, Qing-Hua; Liu, Chein-Shan 3 2021 Lower bound of blow-up time to a fourth order parabolic equation modeling epitaxial thin film growth. Zbl 1450.35081Liu, Changchun; Ma, Yitong; Tang, Hui 3 2021 Time periodic solutions for a two-species chemotaxis-Navier-Stokes system. Zbl 1467.92041Liu, Changchun; Li, Pingping 2 2021 Solving a singular beam equation by the method of energy boundary functions. Zbl 07331067Liu, Chein-Shan; Li, Botong 2 2021 A new family of fourth-order optimal iterative schemes and remark on Kung and Traub’s conjecture. Zbl 1477.65076Liu, Chein-Shan; Lee, Tsung-Lin 1 2021 Three novel fifth-order iterative schemes for solving nonlinear equations. Zbl 07428959Liu, Chein-Shan; El-Zahar, Essam R.; Chang, Chih-Wen 1 2021 A splitting method to solve a single nonlinear equation with derivative-free iterative schemes. Zbl 07431547Liu, Chein-Shan; Hong, Hong-Ki; Lee, Tsung-Lin 1 2021 Global existence for a two-species chemotaxis-Navier-Stokes system with \(p\)-Laplacian. Zbl 1478.92030Han, Jiayi; Liu, Changchun 1 2021 Optimal control for the coupled chemotaxis-fluid models in two space dimensions. Zbl 1478.92033Yuan, Yunfei; Liu, Changchun 1 2021 Optimal control problem for the Cahn-Hilliard/Allen-Cahn equation with state constraint. Zbl 1447.49008Zhang, Xiaoli; Li, Huilai; Liu, Changchun 7 2020 Boundary shape functions methods for solving the nonlinear singularly perturbed problems with Robin boundary conditions. Zbl 07446873Liu, Chein-Shan; Chang, Jiang-Ren 6 2020 Simulating thin plate bending problems by a family of two-parameter homogenization functions. Zbl 1481.74497Liu, Chein-Shan; Qiu, Lin; Lin, Ji 6 2020 The periods and periodic solutions of nonlinear jerk equations solved by an iterative algorithm based on a shape function method. Zbl 1460.65093Liu, Chein-Shan; Chang, Jiang-Ren 5 2020 Boundary shape function method for nonlinear BVP, automatically satisfying prescribed multipoint boundary conditions. Zbl 1496.34040Liu, Chein-Shan; Chang, Chih-Wen 5 2020 Global existence for a chemotaxis-haptotaxis model with \(p\)-Laplacian. Zbl 1433.92007Liu, Changchun; Li, Pingping 4 2020 Global solution for a sixth-order nonlinear Schrödinger equation. Zbl 1446.35184Liu, Changchun; Wang, Huimin; Feng, Zhaosheng 2 2020 Boundedness and global solvability for a chemotaxis-haptotaxis model with \(p\)-Laplacian diffusion. Zbl 1432.92019Liu, Changchun; Li, Pingping 2 2020 Identifying space-time dependent force on the vibrating Euler-Bernoulli beam by a boundary functional method. Zbl 1435.74031Liu, Chein-Shan; Li, Botong 1 2020 Forced and free vibrations of composite beams solved by an energetic boundary functions collocation method. Zbl 07318093Liu, Chein-Shan; Li, Botong 1 2020 Analytic series solutions of 2D forward and backward heat conduction problems in rectangles and a new regularization. Zbl 1475.65107Liu, Chein-Shan; Chang, Chih-Wen 1 2020 Some properties of solutions of a fourth-order parabolic equation for image processing. Zbl 1436.35246Liu, Changchun; Jin, Manli 1 2020 Optimal distributed control for a new mechanochemical model in biological patterns. Zbl 1420.92006Liu, Changchun; Zhang, Xiaoli 6 2019 Nonlinear wave inverse source problem solved by a method of \(m\)-order homogenization functions. Zbl 1406.35485Liu, Chein-Shan; Qiu, Lin; Wang, Fajie 4 2019 \(p\)-biharmonic parabolic equations with logarithmic nonlinearity. Zbl 1406.35146Wang, Jiaojiao; Liu, Changchun 3 2019 Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functions. Zbl 07144733Liu, Chein-Shan; Li, Botong 3 2019 Solving the 3D Cauchy problems of nonlinear elliptic equations by the superposition of a family of 3D homogenization functions. Zbl 1464.65164Liu, Chein-Shan; Chang, Chih-Wen 3 2019 A Trefftz/MFS mixed-type method to solve the Cauchy problem of the Laplace equation. Zbl 1428.65100Liu, Chein-Shan; Wang, Fajie; Gu, Yan 2 2019 Solving the inverse conductivity problems of nonlinear elliptic equations by the superposition of homogenization functions method. Zbl 07048216Liu, Chein-Shan; Chang, Chih-Wen 2 2019 A further study on the coupled Allen-Cahn/Cahn-Hilliard equations. Zbl 07634198Yang, Jiaqi; Liu, Changchun 2 2019 An energy regularization of the MQ-RBF method for solving the Cauchy problems of diffusion-convection-reaction equations. Zbl 07263892Liu, Chein-Shan; Chang, Chih-Wen 2 2019 Blow up for a fourth order hyperbolic equation with the logarithmic nonlinearity. Zbl 1426.35169Liu, Changchun; Ma, Yihang 1 2019 Boundary function method for boundary identification in two-dimensional steady-state nonlinear heat conduction problems. Zbl 1464.80030Qiu, Lin; Chen, Wen; Wang, Fajie; Liu, Chein-Shan; Hua, Qingsong 1 2019 Blow-up and extinction for a sixth-order parabolic equation. Zbl 1423.35159Liu, Huan; Liu, Changchun 1 2019 A note on “Tactical berth allocation under uncertainty”. Zbl 1430.90279Liu, Changchun 1 2019 Optimal sources in the MFS by minimizing a new merit function: energy gap functional. Zbl 1410.65475Wang, Fajie; Liu, Chein-Shan; Qu, Wenzhen 36 2018 Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation. Zbl 06892651Wang, Fajie; Hua, Qingsong; Liu, Chein-Shan 29 2018 Optimal shape parameter in the MQ-RBF by minimizing an energy gap functional. Zbl 1411.35085Liu, Chein-Shan; Liu, Dongjie 11 2018 An energy method of fundamental solutions for solving the inverse Cauchy problems of the Laplace equation. Zbl 1417.35230Liu, Chein-Shan; Wang, Fajie 6 2018 A homogenization boundary function method for determining inaccessible boundary of a rigid inclusion for the Poisson equation. Zbl 1403.65123Liu, Chein-Shan; Liu, Dongjie 6 2018 Global weak solutions to a higher order nonlinear degenerate parabolic equation. Zbl 06864620Liu, Changchun; Zhang, Xiaoli 5 2018 Some properties of solutions for a sixth-order Cahn-Hilliard type equation with inertial term. Zbl 1403.35156Liu, Changchun; Wang, Jiaojiao 4 2018 Trefftz energy method for solving the Cauchy problem of the Laplace equation. Zbl 1466.65168Liu, Chein-Shan; Wang, Fajie; Gu, Yan 4 2018 Solving singularly perturbed problems by a weak-form integral equation with exponential trial functions. Zbl 1427.34077Liu, Chein-Shan 3 2018 Global attractor for a smectic-A liquid crystal model in 2D. Zbl 1404.35062Liu, Aibo; Liu, Changchun 3 2018 A class of fourth-order parabolic equation with logarithmic nonlinearity. Zbl 1498.35324Li, Pingping; Liu, Changchun 3 2018 A meshless method for solving the nonlinear inverse Cauchy problem of elliptic type equation in a doubly-connected domain. Zbl 1442.65333Liu, Chein-Shan; Wang, Fajie 3 2018 The Cauchy problem for the degenerate convective Cahn-Hilliard equation. Zbl 1407.35099Liu, Aibo; Liu, Changchun 2 2018 Recovering a source term in the time-fractional Burgers equation by an energy boundary functional equation. Zbl 1466.65106Liu, Chein-Shan; Chang, Jiang-Ren 2 2018 Storage assignment and order batching problem in Kiva mobile fulfilment system. Zbl 07636653Xiang, Xi; Liu, Changchun; Miao, Lixin 2 2018 A simple noniterative method for recovering a space-dependent load on the Euler-Bernoulli beam equation. Zbl 1451.74136Liu, Chein-Shan; Jhao, Wun-Sin; Chang, Chih-Wen 1 2018 Highly accurate algorithms endowing with boundary functions for solving a nonlinear beam equation involving an integral term. Zbl 1477.65105Liu, Chein-Shan; Li, Botong 1 2018 Solving nonlinear singularly perturbed problems by fractional order exponential trial functions. Zbl 06892583Liu, Chein-Shan; Chang, Chih-Wen 1 2018 Scheduling with job-splitting considering learning and the vital-few law. Zbl 1391.90285Liu, Changchun; Wang, Chenjie; Zhang, Zhi-hai; Zheng, Li 1 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. 10 2017 Reconstructing a second-order Sturm-Liouville operator by an energetic boundary function iterative method. Zbl 1375.65100Liu, Chein-Shan; Li, Botong 5 2017 Numerical simulation of 3D nonlinear Schrödinger equations by using the localized method of approximate particular solutions. Zbl 1403.65095Lin, Ji; Hong, Yongxing; Kuo, Lei-Hsin; Liu, Chein-Shan 5 2017 Solving a singular beam equation by using a weak-form integral equation method. Zbl 1388.74062Liu, Chein-Shan; Liu, Dongjie; Jhao, Wun-Sin 4 2017 A novel Trefftz method of the inverse Cauchy problem for 3D modified Helmholtz equation. Zbl 1398.65276Liu, Chein-Shan; Qu, Wenzhen; Chen, Wen; Lin, Ji 4 2017 Existence of periodic solution for a Cahn-Hilliard/Allen-Cahn equation in two space dimensions. Zbl 1360.35013Liu, Changchun; Tang, Hui 4 2017 An iterative method based on coupled closed-form coefficients expansions for recovering the pollutant source and initial pollution profile. Zbl 1370.65049Liu, Chein-Shan; Wang, Peifang; Chang, Jiang-Ren 3 2017 Exactly determining the expansion coefficients in the recovery of space-dependent pollutant source. Zbl 1375.65145Liu, Chein-Shan; Gu, Yan; Kuo, Chung-Lun 1 2017 Fractal dimension and synchronization of the controlled Julia sets of a reaction-diffusion system. Zbl 1386.93148Zhang, Yongping; Liu, Changchun; Liu, Shutang; Sun, Jie 1 2017 The polynomial Trefftz method for solving backward and inverse source wave problems. Zbl 1366.65088Liu, Chein-Shan 1 2017 Global existence and nonexistence of solutions for Newtonian filtration equation. Zbl 06731843Liu, Changchun; Wang, Huimin 1 2017 Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions. Zbl 1359.65222Lin, Ji; Chen, C. S.; Liu, Chein-Shan; Lu, Jun 60 2016 A multiple-scale Pascal polynomial for 2D Stokes and inverse Cauchy-Stokes problems. Zbl 1351.76219Liu, Chein-Shan; Young, D. L. 14 2016 A multiple-scale Pascal polynomial triangle solving elliptic equations and inverse Cauchy problems. Zbl 1403.65170Liu, Chein-Shan; Kuo, Chung-Lun 14 2016 Fast solution of three-dimensional modified Helmholtz equations by the method of fundamental solutions. Zbl 1388.65180Lin, Ji; Chen, C. S.; Liu, Chein-Shan 7 2016 A multiple-scale MQ-RBF for solving the inverse Cauchy problems in arbitrary plane domain. Zbl 1403.65116Liu, Chein-Shan; Chen, Wen; Fu, Zhuojia 7 2016 Existence of solutions to the Cahn-Hilliard/Allen-Cahn equation with degenerate mobility. Zbl 1353.35124Zhang, Xiaoli; Liu, Changchun 6 2016 A multiple-direction Trefftz method for solving the multi-dimensional wave equation in an arbitrary spatial domain. Zbl 1349.65519Liu, Chein-Shan; Kuo, Chung-Lun 6 2016 A BIEM using the Trefftz test functions for solving the inverse Cauchy and source recovery problems. Zbl 1403.65121Liu, Chein-Shan 5 2016 A real-time Lie-group differential algebraic equations method to solve the inverse nonlinear vibration problems. Zbl 1348.65134Liu, Chein-Shan; Chang, Chih-Wen 4 2016 A simple Trefftz method for solving the Cauchy problems of three-dimensional Helmholtz equation. Zbl 1403.65122Liu, Chein-Shan 3 2016 Study of weak solutions for a higher order nonlinear degenerate parabolic equation. Zbl 1346.35114Liu, Changchun; Tang, Hui 2 2016 The recovery of external force in nonlinear system by using a weak-form integral method. Zbl 1349.70041Liu, Chein-Shan; Chang, Jiang-Ren; Chen, Yung-Wei 1 2016 Invariance of the support of solutions for a sixth-order thin film equation. (Invariance du support des solutions d’une équation du sixième ordre modélisant un film mince.) Zbl 1338.35216Liu, Changchun; Zhang, Xiaoli 1 2016 Time periodic solutions for a sixth order nonlinear parabolic equation. Zbl 1389.35038Liu, Changchun; Wang, Zhao 1 2016 Analytical solution of spray cooling characteristics on a hot surface using the Laplace transform. Zbl 1342.76095Chen, Han-Taw; Lin, Jing-Hong; Xu, Xiao-Jie; Liu, Chein-Shan; Chang, Jiang-Ren 1 2016 A decision model for berth allocation under uncertainty considering service level using an adaptive differential evolution algorithm. Zbl 1356.90023Liu, Changchun; Xiang, Xi; Zhang, Canrong; Zheng, Li 1 2016 A driven sixth-order Cahn-Hilliard equation with concentration dependent mobility. Zbl 1399.35142Liu, Changchun; Tang, Hui 1 2016 An implicit Lie-group iterative scheme for solving the nonlinear Klein-Gordon and sine-Gordon equations. Zbl 1446.65125Chang, Chih-Wen; Liu, Chein-Shan 1 2016 Optimal control for a sixth order nonlinear parabolic equation. Zbl 1305.49006Liu, Changchun; Wang, Zhao 14 2015 Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz method. Zbl 1403.65164Ku, Cheng-Yu; Kuo, Chung-Lun; Fan, Chia-Ming; Liu, Chein-Shan; Guan, Pai-Chen 9 2015 A sixth-order thin film equation in two space dimensions. Zbl 1319.35101Liu, Changchun 6 2015 Cauchy problem for a sixth order Cahn-Hilliard type equation with inertial term. Zbl 1339.35193Liu, Changchun; Liu, Aibo 4 2015 On the existence of global attractor for 3D viscous Cahn-Hilliard equation. Zbl 1342.35051Zhao, Xiaopeng; Liu, Changchun 4 2015 Finding unknown heat source in a nonlinear Cauchy problem by the Lie-group differential algebraic equations method. Zbl 1403.65052Liu, Chein-Shan 4 2015 An algorithm with \(m\)-step residual history for solving linear equations: data interpolation by a multi-shape-factors RBF. Zbl 1403.65015Liu, Chein-Shan 3 2015 Solving Helmholtz equation with high wave number and ill-posed inverse problem using the multiple scales Trefftz collocation method. Zbl 1403.65165Kuo, Chung-Lun; Yeih, Weichung; Liu, Chein-Shan; Chang, Jiang-Ren 2 2015 A double optimal descent algorithm for iteratively solving ill-posed linear inverse problems. Zbl 1336.65064Liu, Chein-Shan 2 2015 ...and 204 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,113 Authors 153 Liu, Chein-Shan 34 Lin, Ji 25 Fan, Chia-Ming 25 Zhao, Xiaopeng 23 Wang, Fajie 21 Gu, Yan 19 Fu, Chuli 18 Fu, Zhuojia 16 Chang, Chih-Wen 16 Yang, Fan 15 Chen, Ching-Shyang 15 Sprekels, Jürgen 13 Chen, Wen 12 Chang, Jiang-ren 12 Colli, Pierluigi 12 Gilardi, Gianni 12 Li, Xiaoxiao 11 Duan, Ning 11 Qu, Wenzhen 10 Sun, Linlin 9 Abbasbandy, Saeid 9 Li, Xiaolin 9 Lu, Jun 9 Yeih, Weichung 8 Hashemi, Mir Sajjad 8 Karageorghis, Andreas 8 Kolodziej, Jan Adam 8 Ku, Cheng-Yu 8 Wei, Ting 8 Wei, Xing 8 Yin, Jingxue 7 Băleanu, Dumitru I. 7 Chen, Yung-Wei 7 Inc, Mustafa 7 Li, Ming 7 Li, Po-Wei 7 Li, Zi-Cai 7 Reutskiy, Sergiy Yu 7 Xiong, Xiangtuan 6 Kuo, Chung-Lun 6 Li, Zhenbang 6 Liu, Aibo 6 Oruç, Ömer 6 Qin, Qinghua 6 Qiu, Lin 6 Zhang, Yuhui 5 Auricchio, Ferdinando 5 Borkowski, Mariusz 5 Chai, Yingbin 5 Chen, Bin 5 Dangal, Thir 5 Dehghan Takht Fooladi, Mehdi 5 Li, Junpu 5 Li, Yinghua 5 Liu, Bo 5 Liu, Chih-Yu 5 Liu, Fengnan 5 Mierzwiczak, Magdalena 5 Qian, Zhi 5 Rocca, Elisabetta 5 Sharifian, Mehrzad 5 Tang, Hui 5 Wang, Zhao 5 Xi, Qiang 5 Zhang, Chuanzeng 4 Aida-Zade, Kamil Rajab 4 Akgül, Ali 4 Ben-Romdhane, Mohamed 4 Chen, Bosheng 4 Chen, Linchong 4 Dong, Leiting 4 El-Zahar, Essam Roshdy 4 Hajiketabi, Mohammad 4 Hong, Yongxing 4 Hua, Qingsong 4 Huang, Hung-Tsai 4 Lesnic, Daniel 4 Li, Botong 4 Li, Wei 4 Li, Weiwei 4 Liu, Dongjie 4 Marin, Liviu 4 Miranville, Alain M. 4 Rezaiee-Pajand, Mohammad 4 Sharifian, Mehrdad 4 Singh, Randhir 4 Temimi, Helmi 4 Tsai, Chia-Cheng 4 Wu, Hao 4 Xiao, Heng 4 Xiao, Jing-En 4 Zhang, Xiaoli 3 Abd-Elhameed, Waleed Mohamed 3 Atluri, Satya N. 3 Bruhns, Otto Timme 3 Chang, Wanru 3 Doha, Eid H. 3 Feng, Xiaoli 3 Galaktionov, Victor Aleksandrovich 3 Grabski, Jakub Krzysztof ...and 1,013 more Authors all top 5 Cited in 188 Serials 132 Engineering Analysis with Boundary Elements 47 Computers & Mathematics with Applications 40 Inverse Problems in Science and Engineering 34 Applied Mathematics and Computation 31 Applied Mathematics Letters 25 Applied Mathematical Modelling 21 Boundary Value Problems 20 Journal of Computational and Applied Mathematics 18 Applicable Analysis 15 Advances in Applied Mathematics and Mechanics 13 Mathematics and Computers in Simulation 12 International Journal of Heat and Mass Transfer 12 Journal of Mathematical Analysis and Applications 12 Applied Mathematics and Optimization 12 Mathematical Problems in Engineering 11 Applied Numerical Mathematics 10 Communications in Nonlinear Science and Numerical Simulation 9 Mathematical Methods in the Applied Sciences 8 Computer Methods in Applied Mechanics and Engineering 8 International Journal for Numerical Methods in Engineering 8 Nonlinear Analysis. 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Serie Quarta 2 Calcolo 2 Journal of Differential Equations 2 Journal of Optimization Theory and Applications 2 Mathematica Slovaca 2 Applied Mathematics and Mechanics. (English Edition) 2 Mathematical and Computer Modelling 2 Applications of Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Electronic Journal of Differential Equations (EJDE) 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Filomat 2 Discrete and Continuous Dynamical Systems 2 Mathematics and Mechanics of Solids 2 Differential Equations and Dynamical Systems 2 Fractional Calculus & Applied Analysis 2 Journal of Dynamical and Control Systems 2 Lobachevskii Journal of Mathematics 2 Archives of Computational Methods in Engineering 2 Discrete and Continuous Dynamical Systems. Series B 2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 2 Iranian Journal of Science and Technology. Transaction A: Science 2 Journal of Function Spaces 2 Journal of Mathematical Modeling 2 Computational Methods for Differential Equations 2 Mechanics of Solids 1 International Journal of Modern Physics B 1 Archives of Mechanics 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 International Journal of Mathematical Education in Science and Technology 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Solids and Structures 1 Inverse Problems ...and 88 more Serials all top 5 Cited in 41 Fields 516 Numerical analysis (65-XX) 416 Partial differential equations (35-XX) 128 Mechanics of deformable solids (74-XX) 79 Fluid mechanics (76-XX) 78 Classical thermodynamics, heat transfer (80-XX) 74 Ordinary differential equations (34-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 21 Biology and other natural sciences (92-XX) 18 Operator theory (47-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Operations research, mathematical programming (90-XX) 14 Systems theory; control (93-XX) 12 Integral equations (45-XX) 11 Mechanics of particles and systems (70-XX) 10 Optics, electromagnetic theory (78-XX) 9 Real functions (26-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Probability theory and stochastic processes (60-XX) 7 Approximations and expansions (41-XX) 7 Computer science (68-XX) 7 Geophysics (86-XX) 7 Information and communication theory, circuits (94-XX) 6 Quantum theory (81-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral transforms, operational calculus (44-XX) 4 Functional analysis (46-XX) 3 Potential theory (31-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Statistics (62-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Mathematics education (97-XX) Citations by Year