## Liu, Chein-Shan

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 Author ID: liu.chein-shan Published as: Liu, Chein-Shan; Liu, Changchun; Liu, C.-S.; Liu, Chang Chun; Liu, Chang-Chun Homepage: https://sg.linkedin.com/in/chein-shan-liu-4205a937 External Links: ORCID · ResearchGate · dblp
 Documents Indexed: 384 Publications since 1987 Co-Authors: 109 Co-Authors with 221 Joint Publications 2,940 Co-Co-Authors
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### Co-Authors

 136 single-authored 31 Chang, Chih-Wen 22 Chang, Jiang-ren 18 Atluri, Satya N. 17 Hong, Hong-Ki 12 Yeih, Weichung 11 Yin, Jingxue 10 Wang, Fajie 10 Zhao, Xiaopeng 8 Kuo, Chung-Lun 8 Liu, Aibo 8 Wang, Zhao 7 Chen, Yung-Wei 7 Li, Botong 7 Lin, Ji 6 Tang, Hui 6 Zhang, Xiaoli 5 Li, Zhenbang 4 Ku, Cheng-Yu 4 Li, Pingping 4 Lian, Songzhe 4 Liu, Dongjie 4 Qiu, Lin 4 Wang, Jiaojiao 3 Chen, Bosheng 3 El-Zahar, Essam Roshdy 3 Gu, Yan 3 Lu, Hexiang 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 Hua, Qingsong 2 Jhao, Wun-Sin 2 Lee, Tsung-Lin 2 Li, Huilai 2 Mei, Ming 2 Qu, Wenzhen 2 Wang, Huimin 2 Yang, Jiaqi 2 Yuan, Yunfei 2 Zheng, Li 2 Zhou, Juan 1 Abbasbandy, Saeid 1 Akbarian, A. 1 Azfar, F. 1 Ball, Alan A. 1 Bousson, N. 1 Bürger, Raimund 1 Chang, Jiang-Jhy 1 Chen, Tong 1 Chen, Wen 1 Chiang, Chia-Yen 1 Deng, Aimin 1 Dong, Leiting 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 Han, Jiayi 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, Tiezhu 1 Lin, Jing-Hong 1 Liou, D.-Y. 1 Liu, Huan 1 Liu, Liwei 1 Liu, Shilong 1 Liu, Shutang 1 Loth, Eric 1 Lu, Jun 1 Ma, Yihang 1 Ma, Yitong 1 Morlock, J. 1 Oakes, L. 1 Paulini, M. 1 Pueschel, E. 1 Qi, Yuanwei 1 Qin, Qinghua ...and 38 more Co-Authors
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### Serials

 72 CMES. Computer Modeling in Engineering & Sciences 26 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 8 Applicable Analysis 8 Mathematics and Computers in Simulation 8 CMC. Computers, Materials, and Continua 7 Computers & Mathematics with Applications 6 Journal of Mathematical Analysis and Applications 6 Mathematical Methods in the Applied Sciences 6 Applied Mathematical Modelling 6 Electronic Journal of Differential Equations (EJDE) 6 Communications in Nonlinear Science and Numerical Simulation 6 Journal of Applied Mathematics 6 Boundary Value Problems 5 Journal of Computational Physics 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 International Journal of Applied Mathematics 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 Modern Physics Letters A 2 Acta Mechanica 2 Journal of Applied Mechanics 2 Rocky Mountain Journal of Mathematics 2 Archiv der Mathematik 2 Mathematica Slovaca 2 Acta Applicandae Mathematicae 2 Bulletin of the Iranian Mathematical Society 2 Journal of Partial Differential Equations 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Mathematical Problems in Engineering 2 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 2 Nonlinear Dynamics 2 Acta Mathematica Sinica. English Series 2 Mathematical Modelling and Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Jilin University. Science Edition 2 Evolution Equations and Control Theory 2 Electronic Research Archive 1 Modern Physics Letters B 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Applied Mathematics 1 IMA Journal of Numerical Analysis 1 International Journal of Mechanical Sciences 1 International Journal of Multiphase Flow 1 International Journal of Plasticity 1 Lithuanian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Annales Polonici Mathematici 1 Integral Equations and Operator Theory 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 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 European Journal of Operational Research 1 International Journal of Computer 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 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 International Journal of Nonlinear Sciences and Numerical Simulation 1 The ANZIAM Journal 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 Communications in Mathematical Analysis 1 Computational & Mathematical Methods in Medicine 1 Communications in Computational Physics 1 Journal of Nonlinear Science and Applications ...and 3 more Serials
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### Fields

 180 Numerical analysis (65-XX) 154 Partial differential equations (35-XX) 53 Mechanics of deformable solids (74-XX) 38 Ordinary differential equations (34-XX) 38 Fluid mechanics (76-XX) 21 Classical thermodynamics, heat transfer (80-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 13 Biology and other natural sciences (92-XX) 12 Mechanics of particles and systems (70-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Operations research, mathematical programming (90-XX) 8 Systems theory; control (93-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Integral equations (45-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Differential geometry (53-XX) 3 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

293 Publications have been cited 1,997 times in 769 Documents Cited by Year
Preconditioned multigrid methods for unsteady incompressible flows. Zbl 0908.76064
Liu, C.; Zheng, X.; Sung, C. H.
1998
Cone of non-linear dynamical system and group preserving schemes. Zbl 1243.65084
Liu, Chein-Shan
2001
Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions. Zbl 1359.65222
Lin, Ji; Chen, C. S.; Liu, Chein-Shan; Lu, Jun
2016
The Lie-group shooting method for solving the Bratu equation. Zbl 1222.65067
Abbasbandy, S.; Hashemi, M. S.; Liu, Chein-Shan
2011
Group preserving scheme for backward heat conduction problems. Zbl 1100.80005
Liu, Chein-Shan
2004
An equilibrated method of fundamental solutions to choose the best source points for the Laplace equation. Zbl 1352.65637
Liu, Chein-Shan
2012
Optimal control for the convective Cahn-Hilliard equation in 2D case. Zbl 1298.49013
Zhao, Xiaopeng; Liu, Changchun
2014
A modified Trefftz method for two-dimensional Laplace equation considering the domain’s characteristic length. Zbl 1232.65157
Liu, Chein-Shan
2007
A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equation. Zbl 1244.65188
Liu, Chein-Shan
2008
An effectively modified direct Trefftz method for 2D potential problems considering the domain’s characteristic length. Zbl 1259.65183
Liu, Chein-Shan
2007
Optimal sources in the MFS by minimizing a new merit function: energy gap functional. Zbl 1410.65475
Wang, Fajie; Liu, Chein-Shan; Qu, Wenzhen
2018
A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperature. Zbl 1157.80395
Liu, Chein-Shan
2009
Optimal control of the convective Cahn-Hilliard equation. Zbl 1269.49003
Zhao, Xiaopeng; Liu, Changchun
2013
Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation. Zbl 06892651
Wang, Fajie; Hua, Qingsong; Liu, Chein-Shan
2018
Numerical solution of the Laplacian Cauchy problem by using a better postconditioning collocation Trefftz method. Zbl 1352.65569
Liu, Chein-Shan; Atluri, Satya N.
2013
Optimal control problem for viscous Cahn-Hilliard equation. Zbl 1228.49008
Zhao, Xiaopeng; Liu, Changchun
2011
The Lie-group shooting method for nonlinear two-point boundary value problems exhibiting multiple solutions. Zbl 1232.65108
Liu, Chein-Shan
2006
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 1231.65071
Liu, Chein-Shan; Hong, Hong-Ki; Atluri, Satya N.
2010
The Lie-group shooting method for singularly perturbed two-point boundary value problems. Zbl 1152.65452
Liu, Chein-Shan
2006
Optimally scaled vector regularization method to solve ill-posed linear problems. Zbl 1259.65067
Liu, Chein-Shan
2012
A highly accurate MCTM for inverse Cauchy problems of Laplace equation in arbitrary plane domains. Zbl 1153.65359
Liu, Chein-Shan
2008
A new shooting method for quasi-boundary regularization of backward heat conduction problems. Zbl 1123.80005
Chang, Jiang-Ren; Liu, Chein-Shan; Chang, Chih-Wen
2007
A two-side equilibration method to reduce the condition number of an ill-posed linear system. Zbl 1356.65116
Liu, Chein-Shan
2013
Past cone dynamics and backward group preserving schemes for backward heat conduction problems. Zbl 1232.65129
Liu, C.-S.; Chang, C.-W.; Chang, J.-R.
2006
One-step GPS for the estimation of temperature-dependent thermal conductivity. Zbl 1189.80038
Liu, Chein-Shan
2006
A highly accurate collocation Trefftz method for solving the Laplace equation in the doubly connected domains. Zbl 1130.65114
Liu, Chein-Shan
2008
Efficient shooting methods for the second-order ordinary differential equations. Zbl 1152.65453
Liu, Chein-Shan
2006
Fictitious time integration method of fundamental solutions with Chebyshev polynomials for solving Poisson-type nonlinear PDEs. Zbl 1231.65243
Tsai, Chia-Cheng; Liu, Chein-Shan; Yeih, Wei-Chung
2010
A multiple-scale Trefftz method for an incomplete Cauchy problem of biharmonic equation. Zbl 1287.65103
Liu, Chein-Shan
2013
An efficient backward group preserving scheme for the backward in time Burgers equation. Zbl 1232.65130
Liu, Chein-Shan
2006
A novel time integration method for solving a large system of non-linear algebraic equations. Zbl 1152.65428
Liu, Chein-Shan; Atluri, Satya N.
2008
Optimal control for a sixth order nonlinear parabolic equation. Zbl 1305.49006
Liu, Changchun; Wang, Zhao
2015
A highly accurate technique for interpolations using very high-order polynomials, and its applications to some ill-posed linear problems. Zbl 1232.65021
Liu, Chein-Shan; Atluri, Satya N.
2009
A fourth order parabolic equation with nonlinear principal part. Zbl 1128.35048
Liu, Changchun
2008
On the convective Cahn-Hilliard equation with degenerate mobility. Zbl 1158.35077
Liu, Changchun
2008
The Lie-group shooting method for solving nonlinear singularly perturbed boundary value problems. Zbl 1244.65113
Liu, Chein-Shan
2012
A multiple-scale Pascal polynomial for 2D Stokes and inverse Cauchy-Stokes problems. Zbl 1351.76219
Liu, Chein-Shan; Young, D. L.
2016
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 1357.65246
Liu, Chein-Shan; Yeih, Weichung; Atluri, Satya N.
2009
A multiple-scale Pascal polynomial triangle solving elliptic equations and inverse Cauchy problems. Zbl 1403.65170
Liu, Chein-Shan; Kuo, Chung-Lun
2016
An LGSM to identify nonhomogeneous heat conductivity functions by an extra measurement of temperature. Zbl 1144.80374
Liu, Chein-Shan
2008
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
Internal symmetry in the constitutive model of perfect elastoplasticity. Zbl 1068.74518
Hong, Hong-Ki; Liu, Chein-Shan
2000
Time periodic solutions for a sixth order nonlinear parabolic equation in two space dimensions. Zbl 1284.35037
Liu, Changchun; Wang, Zhao
2014
The Lie-group shooting method for multiple-solutions of Falkner-Skan equation under suction-injection conditions. Zbl 1203.74146
Liu, Chein-Shan; Chang, Jiang-Ren
2008
Optimal shape parameter in the MQ-RBF by minimizing an energy gap functional. Zbl 1411.35085
Liu, Chein-Shan; Liu, Dongjie
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 1357.65070
Liu, Chein-Shan; Atluri, Satya N.
2009
A group preserving scheme for inverse heat conduction problems. Zbl 1232.80005
Chang, C.-W.; Liu, C.-S.; Chang, J.-R.
2005
Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions. Zbl 1263.35127
Liu, Changchun
2013
Internal symmetry in bilinear elastoplasticity. Zbl 1342.74025
Hong, Hong-Ki; Liu, Chein-Shan
1999
The fourth-order group preserving methods for the integrations of ordinary differential equations. Zbl 1357.65088
Lee, Hung-Chang; Liu, Chein-Shan
2009
Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz method. Zbl 1403.65164
Ku, Cheng-Yu; Kuo, Chung-Lun; Fan, Chia-Ming; Liu, Chein-Shan; Guan, Pai-Chen
2015
A dynamical Tikhonov regularization for solving ill-posed linear algebraic systems. Zbl 1259.65068
Liu, Chein-Shan
2013
Qualitative properties for a sixth-order thin film equation. Zbl 1221.35101
Liu, Changchun
2010
Identification of temperature-dependent thermophysical properties in a partial differential equation subject to extra final measurement data. Zbl 1129.65064
Liu, Chein-Shan
2007
Regularity of solutions for a fourth order parabolic equation. Zbl 1129.35019
Liu, Changchun
2006
The pre/post equilibrated conditioning methods to solve Cauchy problems. Zbl 1297.65136
Liu, Chein-Shan
2014
An adaptive finite volume method for incompressible heat flow problems in solidification. Zbl 1045.76026
Lan, C. W.; Liu, C. C.; Hsu, C. M.
2002
Improving the ill-conditioning of the method of fundamental solutions for 2D Laplace equation. Zbl 1232.65170
Liu, Chein-Shan
2008
Internal symmetry groups for the Drucker-Prager material model of plasticity and numerical integrating methods. Zbl 1082.74505
Liu, Chein-Shan
2004
High order finite difference and multigrid methods for spatially evolving instability in a planar channel. Zbl 0769.76038
Liu, C.; Liu, Z.
1993
The existence of global attractor for a fourth-order parabolic equation. Zbl 1270.35125
Zhao, Xiaopeng; Liu, Changchun
2013
Regularity of solutions of the Cahn-Hilliard equation with concentration dependent mobility. Zbl 0984.35072
Yin, Jingxue; Liu, Changchun
2001
A regularized integral equation method for the inverse geometry heat conduction problem. Zbl 1154.80368
Liu, Chein-Shan; Chang, Chih-Wen; Chiang, Chia-Yen
2008
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 1211.80035
Liu, Chein-Shan
2011
Lorentz group on Minkowski spacetime for construction of the two basic principles of plasticity. Zbl 1345.74022
Hong, Hong-Ki; Liu, Chein-Shan
2001
Some properties of solutions for viscous Cahn-Hilliard equation. Zbl 0928.35022
Liu, Changchun; Yin, Jingxue
1998
A three-point BVP of time-dependent inverse heat source problems and solving by a TSLGSM. Zbl 1231.65164
Yeih, Weichung; Liu, Chein-Shan
2009
A novel mixed group preserving scheme for the inverse Cauchy problem of elliptic equations in annular domains. Zbl 1245.65151
Liu, Chein-Shan; Chang, Chih-Wen
2012
A consistent numerical scheme for the von Mises mixed-hardening constitutive equations. Zbl 1254.74116
Liu, Chein-Shan
2004
Solving an inverse Sturm-Liouville problem by a Lie-group method. Zbl 1154.34005
Liu, Chein-Shan
2008
A highly accurate LGSM for severely ill-posed BHCP under a large noise on the final time data. Zbl 1194.80106
Liu, Chein-Shan
2010
A two-stage Lie-group shooting method (TSLGSM) to identify time-dependent thermal diffusivity. Zbl 1197.80041
Liu, Chein-Shan
2010
A Lie-group shooting method for reconstructing a past time-dependent heat source. Zbl 1262.80086
Liu, Chein-Shan
2012
A Lie-group adaptive differential quadrature method to identify an unknown force in an Euler-Bernoulli beam equation. Zbl 1356.74108
Liu, Chein-Shan
2012
Liu, Chein-Shan
2003
Nonstandard group-preserving schemes for very stiff ordinary differential equations. Zbl 1357.65090
Liu, Chein-Shan
2005
A multiple-scale MQ-RBF for solving the inverse Cauchy problems in arbitrary plane domain. Zbl 1403.65116
Liu, Chein-Shan; Chen, Wen; Fu, Zhuojia
2016
A homogenization boundary function method for determining inaccessible boundary of a rigid inclusion for the Poisson equation. Zbl 1403.65123
Liu, Chein-Shan; Liu, Dongjie
2018
Hong, H.-K.; Liu, C.-S.
2001
Coulomb friction oscillator: modelling and responses to harmonic loads and base excitations. Zbl 1237.70079
Hong, H.-K.; Liu, C.-S.
2000
Computing the eigenvalues of the generalized Sturm-Liouville problems based on the Lie-group $$SL(2,\mathbb R)$$. Zbl 1247.65102
Liu, Chein-Shan
2012
Applications of the modified Trefftz method for the Laplace equation. Zbl 1244.65170
Chen, Yung-Wei; Liu, Chein-Shan; Chang, Jiang-Ren
2009
An optimal tri-vector iterative algorithm for solving ill-posed linear inverse problems. Zbl 1281.65100
Liu, Chein-Shan
2013
A scalar homotopy method for solving an over/under-determined system of non-linear algebraic equations. Zbl 1231.65096
Liu, Chein-Shan; Yeih, Weichung; Kuo, Chung-Lun; Atluri, Satya N.
2009
Global attractor for a nonlinear model with periodic boundary value condition. Zbl 1262.35055
Zhao, Xiaopeng; Liu, Changchun
2012
Numerical simulation of the two-dimensional sloshing problem using a multi-scaling Trefftz method. Zbl 1259.76042
Chen, Yung-Wei; Yeih, Wei-Chung; Liu, Chein-Shan; Chang, Jiang-Ren
2012
A new algorithm for direct and backward problems of heat conduction equation. Zbl 1201.80012
Chang, Chih-Wen; Liu, Chein-Shan
2010
A generalized thin film equation. Zbl 1071.35067
Liu, Changchun; Yin, Jingxue; Gao, Hongjun
2004
Non-oscillation criteria for hypoelastic models under simple shear deformation. Zbl 1003.74012
Liu, Chein-Shan; Hong, Hong-Ki
1999
A meshless regularized integral equation method for Laplace equation in arbitrary interior or exterior plane domains. Zbl 1184.65114
Liu, Chein-Shan
2007
An improved interpolating element-free Galerkin method based on nonsingular weight functions. Zbl 1407.74091
Sun, F. X.; Liu, C.; Cheng, Y. M.
2014
Applications of the modified Trefftz method to the simulation of sloshing behaviours. Zbl 1267.76080
Chen, Yung-Wei; Liu, Chein-Shan; Chang, Chun-Ming; Chang, Jiang-Ren
2010
The backward group preserving scheme for 1D backward in time advection-dispersion equation. Zbl 1425.65100
Liu, Chein-Shan; Chang, Chih-Wen; Chang, Jiang-Ren
2010
A spring-damping regularization and a novel Lie-group integration method for nonlinear inverse Cauchy problems. Zbl 1357.65239
Liu, Chein-Shan; Kuo, Chung-Lun
2011
An efficient simultaneous estimation of temperature-dependent thermophysical properties. Zbl 1357.80010
Liu, Chein-Shan
2006
Fast solution of three-dimensional modified Helmholtz equations by the method of fundamental solutions. Zbl 1388.65180
Lin, Ji; Chen, C. S.; Liu, Chein-Shan
2016
Optimal distributed control for a new mechanochemical model in biological patterns. Zbl 1420.92006
Liu, Changchun; Zhang, Xiaoli
2019
Optimal control problem for the Cahn-Hilliard/Allen-Cahn equation with state constraint. Zbl 1447.49008
Zhang, Xiaoli; Li, Huilai; Liu, Changchun
2020
Developing an $$SL(2,\mathbb R)$$ Lie-group shooting method for a singular $$\phi$$-Laplacian in a nonlinear ODE. Zbl 1304.65176
Liu, Chein-Shan
2013
A BIEM using the Trefftz test functions for solving the inverse Cauchy and source recovery problems. Zbl 1403.65121
Liu, Chein-Shan
2016
Optimal control of a new mechanochemical model with state constraint. Zbl 1469.49047
Liu, Changchun; Zhang, Xiaoli
2021
A boundary collocation method for anomalous heat conduction analysis in functionally graded materials. Zbl 07336172
Fu, Zhuo-Jia; Yang, Li-Wen; Xi, Qiang; Liu, Chein-Shan
2021
Time periodic solutions for a two-species chemotaxis-Navier-Stokes system. Zbl 1467.92041
Liu, Changchun; Li, Pingping
2021
A boundary shape function iterative method for solving nonlinear singular boundary value problems. Zbl 07428976
Liu, Chein-Shan; El-Zahar, Essam R.; Chang, Chih-Wen
2021
Lower bound of blow-up time to a fourth order parabolic equation modeling epitaxial thin film growth. Zbl 1450.35081
Liu, Changchun; Ma, Yitong; Tang, Hui
2021
Solving a singular beam equation by the method of energy boundary functions. Zbl 07331067
Liu, Chein-Shan; Li, Botong
2021
A new family of fourth-order optimal iterative schemes and remark on Kung and Traub’s conjecture. Zbl 1477.65076
Liu, Chein-Shan; Lee, Tsung-Lin
2021
Three novel fifth-order iterative schemes for solving nonlinear equations. Zbl 07428959
Liu, Chein-Shan; El-Zahar, Essam R.; Chang, Chih-Wen
2021
A splitting method to solve a single nonlinear equation with derivative-free iterative schemes. Zbl 07431547
Liu, Chein-Shan; Hong, Hong-Ki; Lee, Tsung-Lin
2021
Global existence for a two-species chemotaxis-Navier-Stokes system with $$p$$-Laplacian. Zbl 1478.92030
Han, Jiayi; Liu, Changchun
2021
A homogenization function method for inverse heat source problems in 3D functionally graded materials. Zbl 1481.74036
Qiu, Lin; Lin, Ji; Wang, Fajie; Qin, Qing-Hua; Liu, Chein-Shan
2021
Optimal control problem for the Cahn-Hilliard/Allen-Cahn equation with state constraint. Zbl 1447.49008
Zhang, Xiaoli; Li, Huilai; Liu, Changchun
2020
The periods and periodic solutions of nonlinear jerk equations solved by an iterative algorithm based on a shape function method. Zbl 1460.65093
Liu, Chein-Shan; Chang, Jiang-Ren
2020
Simulating thin plate bending problems by a family of two-parameter homogenization functions. Zbl 1481.74497
Liu, Chein-Shan; Qiu, Lin; Lin, Ji
2020
Global existence for a chemotaxis-haptotaxis model with $$p$$-Laplacian. Zbl 1433.92007
Liu, Changchun; Li, Pingping
2020
Boundedness and global solvability for a chemotaxis-haptotaxis model with $$p$$-Laplacian diffusion. Zbl 1432.92019
Liu, Changchun; Li, Pingping
2020
Boundary shape functions methods for solving the nonlinear singularly perturbed problems with Robin boundary conditions. Zbl 07446873
Liu, Chein-Shan; Chang, Jiang-Ren
2020
Identifying space-time dependent force on the vibrating Euler-Bernoulli beam by a boundary functional method. Zbl 1435.74031
Liu, Chein-Shan; Li, Botong
2020
Global solution for a sixth-order nonlinear Schrödinger equation. Zbl 1446.35184
Liu, Changchun; Wang, Huimin; Feng, Zhaosheng
2020
Some properties of solutions of a fourth-order parabolic equation for image processing. Zbl 1436.35246
Liu, Changchun; Jin, Manli
2020
Forced and free vibrations of composite beams solved by an energetic boundary functions collocation method. Zbl 07318093
Liu, Chein-Shan; Li, Botong
2020
Analytic series solutions of 2D forward and backward heat conduction problems in rectangles and a new regularization. Zbl 1475.65107
Liu, Chein-Shan; Chang, Chih-Wen
2020
Optimal distributed control for a new mechanochemical model in biological patterns. Zbl 1420.92006
Liu, Changchun; Zhang, Xiaoli
2019
Nonlinear wave inverse source problem solved by a method of $$m$$-order homogenization functions. Zbl 1406.35485
Liu, Chein-Shan; Qiu, Lin; Wang, Fajie
2019
Solving the 3D Cauchy problems of nonlinear elliptic equations by the superposition of a family of 3D homogenization functions. Zbl 1464.65164
Liu, Chein-Shan; Chang, Chih-Wen
2019
An energy regularization of the MQ-RBF method for solving the Cauchy problems of diffusion-convection-reaction equations. Zbl 07263892
Liu, Chein-Shan; Chang, Chih-Wen
2019
$$p$$-biharmonic parabolic equations with logarithmic nonlinearity. Zbl 1406.35146
Wang, Jiaojiao; Liu, Changchun
2019
Solving the inverse conductivity problems of nonlinear elliptic equations by the superposition of homogenization functions method. Zbl 07048216
Liu, Chein-Shan; Chang, Chih-Wen
2019
Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functions. Zbl 07144733
Liu, Chein-Shan; Li, Botong
2019
Blow up for a fourth order hyperbolic equation with the logarithmic nonlinearity. Zbl 1426.35169
Liu, Changchun; Ma, Yihang
2019
Boundary function method for boundary identification in two-dimensional steady-state nonlinear heat conduction problems. Zbl 1464.80030
Qiu, Lin; Chen, Wen; Wang, Fajie; Liu, Chein-Shan; Hua, Qingsong
2019
A Trefftz/MFS mixed-type method to solve the Cauchy problem of the Laplace equation. Zbl 1428.65100
Liu, Chein-Shan; Wang, Fajie; Gu, Yan
2019
Blow-up and extinction for a sixth-order parabolic equation. Zbl 1423.35159
Liu, Huan; Liu, Changchun
2019
Optimal sources in the MFS by minimizing a new merit function: energy gap functional. Zbl 1410.65475
Wang, Fajie; Liu, Chein-Shan; Qu, Wenzhen
2018
Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation. Zbl 06892651
Wang, Fajie; Hua, Qingsong; Liu, Chein-Shan
2018
Optimal shape parameter in the MQ-RBF by minimizing an energy gap functional. Zbl 1411.35085
Liu, Chein-Shan; Liu, Dongjie
2018
A homogenization boundary function method for determining inaccessible boundary of a rigid inclusion for the Poisson equation. Zbl 1403.65123
Liu, Chein-Shan; Liu, Dongjie
2018
Global weak solutions to a higher order nonlinear degenerate parabolic equation. Zbl 06864620
Liu, Changchun; Zhang, Xiaoli
2018
An energy method of fundamental solutions for solving the inverse Cauchy problems of the Laplace equation. Zbl 1417.35230
Liu, Chein-Shan; Wang, Fajie
2018
Solving singularly perturbed problems by a weak-form integral equation with exponential trial functions. Zbl 1427.34077
Liu, Chein-Shan
2018
A meshless method for solving the nonlinear inverse Cauchy problem of elliptic type equation in a doubly-connected domain. Zbl 1442.65333
Liu, Chein-Shan; Wang, Fajie
2018
Global attractor for a smectic-A liquid crystal model in 2D. Zbl 1404.35062
Liu, Aibo; Liu, Changchun
2018
Some properties of solutions for a sixth-order Cahn-Hilliard type equation with inertial term. Zbl 1403.35156
Liu, Changchun; Wang, Jiaojiao
2018
Recovering a source term in the time-fractional Burgers equation by an energy boundary functional equation. Zbl 1466.65106
Liu, Chein-Shan; Chang, Jiang-Ren
2018
Highly accurate algorithms endowing with boundary functions for solving a nonlinear beam equation involving an integral term. Zbl 1477.65105
Liu, Chein-Shan; Li, Botong
2018
A simple noniterative method for recovering a space-dependent load on the Euler-Bernoulli beam equation. Zbl 1451.74136
Liu, Chein-Shan; Jhao, Wun-Sin; Chang, Chih-Wen
2018
Trefftz energy method for solving the Cauchy problem of the Laplace equation. Zbl 1466.65168
Liu, Chein-Shan; Wang, Fajie; Gu, Yan
2018
Solving nonlinear singularly perturbed problems by fractional order exponential trial functions. Zbl 06892583
Liu, Chein-Shan; Chang, Chih-Wen
2018
A class of fourth-order parabolic equation with logarithmic nonlinearity. Zbl 07446044
Li, Pingping; Liu, Changchun
2018
Numerical simulation of 3D nonlinear Schrödinger equations by using the localized method of approximate particular solutions. Zbl 1403.65095
Lin, Ji; Hong, Yongxing; Kuo, Lei-Hsin; Liu, Chein-Shan
2017
Reconstructing a second-order Sturm-Liouville operator by an energetic boundary function iterative method. Zbl 1375.65100
Liu, Chein-Shan; Li, Botong
2017
A novel Trefftz method of the inverse Cauchy problem for 3D modified Helmholtz equation. Zbl 1398.65276
Liu, Chein-Shan; Qu, Wenzhen; Chen, Wen; Lin, Ji
2017
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
Solving a singular beam equation by using a weak-form integral equation method. Zbl 1388.74062
Liu, Chein-Shan; Liu, Dongjie; Jhao, Wun-Sin
2017
An iterative method based on coupled closed-form coefficients expansions for recovering the pollutant source and initial pollution profile. Zbl 1370.65049
Liu, Chein-Shan; Wang, Peifang; Chang, Jiang-Ren
2017
Existence of periodic solution for a Cahn-Hilliard/Allen-Cahn equation in two space dimensions. Zbl 1360.35013
Liu, Changchun; Tang, Hui
2017
The polynomial Trefftz method for solving backward and inverse source wave problems. Zbl 1366.65088
Liu, Chein-Shan
2017
Global existence and nonexistence of solutions for Newtonian filtration equation. Zbl 06731843
Liu, Changchun; Wang, Huimin
2017
Exactly determining the expansion coefficients in the recovery of space-dependent pollutant source. Zbl 1375.65145
Liu, Chein-Shan; Gu, Yan; Kuo, Chung-Lun
2017
Fractal dimension and synchronization of the controlled Julia sets of a reaction-diffusion system. Zbl 1386.93148
Zhang, Yongping; Liu, Changchun; Liu, Shutang; Sun, Jie
2017
Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions. Zbl 1359.65222
Lin, Ji; Chen, C. S.; Liu, Chein-Shan; Lu, Jun
2016
A multiple-scale Pascal polynomial for 2D Stokes and inverse Cauchy-Stokes problems. Zbl 1351.76219
Liu, Chein-Shan; Young, D. L.
2016
A multiple-scale Pascal polynomial triangle solving elliptic equations and inverse Cauchy problems. Zbl 1403.65170
Liu, Chein-Shan; Kuo, Chung-Lun
2016
A multiple-scale MQ-RBF for solving the inverse Cauchy problems in arbitrary plane domain. Zbl 1403.65116
Liu, Chein-Shan; Chen, Wen; Fu, Zhuojia
2016
Fast solution of three-dimensional modified Helmholtz equations by the method of fundamental solutions. Zbl 1388.65180
Lin, Ji; Chen, C. S.; Liu, Chein-Shan
2016
A BIEM using the Trefftz test functions for solving the inverse Cauchy and source recovery problems. Zbl 1403.65121
Liu, Chein-Shan
2016
A multiple-direction Trefftz method for solving the multi-dimensional wave equation in an arbitrary spatial domain. Zbl 1349.65519
Liu, Chein-Shan; Kuo, Chung-Lun
2016
Existence of solutions to the Cahn-Hilliard/Allen-Cahn equation with degenerate mobility. Zbl 1353.35124
Zhang, Xiaoli; Liu, Changchun
2016
A simple Trefftz method for solving the Cauchy problems of three-dimensional Helmholtz equation. Zbl 1403.65122
Liu, Chein-Shan
2016
A real-time Lie-group differential algebraic equations method to solve the inverse nonlinear vibration problems. Zbl 1348.65134
Liu, Chein-Shan; Chang, Chih-Wen
2016
Study of weak solutions for a higher order nonlinear degenerate parabolic equation. Zbl 1346.35114
Liu, Changchun; Tang, Hui
2016
A driven sixth-order Cahn-Hilliard equation with concentration dependent mobility. Zbl 1399.35142
Liu, Changchun; Tang, Hui
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 1338.35216
Liu, Changchun; Zhang, Xiaoli
2016
Time periodic solutions for a sixth order nonlinear parabolic equation. Zbl 1389.35038
Liu, Changchun; Wang, Zhao
2016
The recovery of external force in nonlinear system by using a weak-form integral method. Zbl 1349.70041
Liu, Chein-Shan; Chang, Jiang-Ren; Chen, Yung-Wei
2016
A decision model for berth allocation under uncertainty considering service level using an adaptive differential evolution algorithm. Zbl 1356.90023
Liu, Changchun; Xiang, Xi; Zhang, Canrong; Zheng, Li
2016
Analytical solution of spray cooling characteristics on a hot surface using the Laplace transform. Zbl 1342.76095
Chen, Han-Taw; Lin, Jing-Hong; Xu, Xiao-Jie; Liu, Chein-Shan; Chang, Jiang-Ren
2016
Optimal control for a sixth order nonlinear parabolic equation. Zbl 1305.49006
Liu, Changchun; Wang, Zhao
2015
Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz method. Zbl 1403.65164
Ku, Cheng-Yu; Kuo, Chung-Lun; Fan, Chia-Ming; Liu, Chein-Shan; Guan, Pai-Chen
2015
A sixth-order thin film equation in two space dimensions. Zbl 1319.35101
Liu, Changchun
2015
Finding unknown heat source in a nonlinear Cauchy problem by the Lie-group differential algebraic equations method. Zbl 1403.65052
Liu, Chein-Shan
2015
On the existence of global attractor for 3D viscous Cahn-Hilliard equation. Zbl 1342.35051
Zhao, Xiaopeng; Liu, Changchun
2015
An algorithm with $$m$$-step residual history for solving linear equations: data interpolation by a multi-shape-factors RBF. Zbl 1403.65015
Liu, Chein-Shan
2015
A double optimal descent algorithm for iteratively solving ill-posed linear inverse problems. Zbl 1336.65064
Liu, Chein-Shan
2015
An iterative algorithm for identifying heat source by using a DQ and a Lie-group method. Zbl 1328.65198
Liu, Chein-Shan
2015
A novel Lie-group theory and complexity of nonlinear dynamical systems. Zbl 1345.34047
Liu, Chein-Shan
2015
Solving Helmholtz equation with high wave number and ill-posed inverse problem using the multiple scales Trefftz collocation method. Zbl 1403.65165
Kuo, Chung-Lun; Yeih, Weichung; Liu, Chein-Shan; Chang, Jiang-Ren
2015
A non-typical Lie-group integrator to solve nonlinear inverse Cauchy problem in an arbitrary doubly-connected domain. Zbl 1443.65296
Liu, Chein-Shan
2015
Cauchy problem for a sixth order Cahn-Hilliard type equation with inertial term. Zbl 1339.35193
Liu, Changchun; Liu, Aibo
2015
Optimal control for the convective Cahn-Hilliard equation in 2D case. Zbl 1298.49013
Zhao, Xiaopeng; Liu, Changchun
2014
Time periodic solutions for a sixth order nonlinear parabolic equation in two space dimensions. Zbl 1284.35037
Liu, Changchun; Wang, Zhao
2014
The pre/post equilibrated conditioning methods to solve Cauchy problems. Zbl 1297.65136
Liu, Chein-Shan
2014
An improved interpolating element-free Galerkin method based on nonsingular weight functions. Zbl 1407.74091
Sun, F. X.; Liu, C.; Cheng, Y. M.
2014
Solving the Cauchy problem of the nonlinear steady-state heat equation using double iteration process. Zbl 1357.65241
Yeih, Weichung; Chan, I-Yao; Fan, Chia-Ming; Chang, Jiang-Jhy; Liu, Chein-Shan
2014
The backward group preserving scheme for multi-dimensional nonhomogeneous and nonlinear backward wave problems. Zbl 1429.65219
Chang, Chih-Wen; Liu, Chein-Shan
2014
A doubly optimized solution of linear equations system expressed in an affine Krylov subspace. Zbl 1293.65047
Liu, Chein-Shan
2014
A maximal projection solution of ill-posed linear system in a column subspace, better than the least squares solution. Zbl 1367.65060
Liu, Chein-Shan
2014
To solve the inverse Cauchy problem in linear elasticity by a novel Lie-group integrator. Zbl 1308.65189
Liu, Chein-Shan
2014
An LGDAE method to solve nonlinear Cauchy problem without initial temperature. Zbl 1357.65159
Liu, Chein-Shan
2014
Optimal algorithms in a Krylov subspace for solving linear inverse problems by MFS. Zbl 1297.65114
Liu, Chein-Shan
2014
...and 193 more Documents
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### Cited by 960 Authors

 148 Liu, Chein-Shan 32 Lin, Ji 25 Fan, Chia-Ming 24 Zhao, Xiaopeng 22 Wang, Fajie 20 Gu, Yan 19 Fu, Chuli 16 Chang, Chih-Wen 16 Fu, Zhuojia 16 Yang, Fan 15 Sprekels, Jürgen 13 Chen, Ching-Shyang 12 Colli, Pierluigi 12 Gilardi, Gianni 12 Li, Xiaoxiao 11 Chang, Jiang-ren 11 Chen, Wen 11 Duan, Ning 10 Hashemi, Mir Sajjad 10 Qu, Wenzhen 10 Sun, Linlin 9 Li, Xiaolin 9 Yeih, Weichung 8 Karageorghis, Andreas 8 Kolodziej, Jan Adam 8 Ku, Cheng-Yu 8 Wei, Ting 8 Wei, Xing 8 Yin, Jingxue 7 Abbasbandy, Saeid 7 Chen, Yung-Wei 7 Li, Po-Wei 7 Li, Zi-Cai 7 Lu, Jun 7 Reutskiy, Sergiy Yu 7 Xiong, Xiangtuan 6 Băleanu, Dumitru I. 6 Inc, Mustafa 6 Kuo, Chung-Lun 6 Liu, Aibo 6 Qin, Qinghua 6 Qiu, Lin 5 Akgül, Ali 5 Auricchio, Ferdinando 5 Borkowski, Mariusz 5 Dangal, Thir 5 Dehghan Takht Fooladi, Mehdi 5 Li, Junpu 5 Li, Yinghua 5 Li, Zhenbang 5 Liu, Chih-Yu 5 Liu, Fengnan 5 Mierzwiczak, Magdalena 5 Qian, Zhi 5 Rocca, Elisabetta 5 Sharifian, Mehrzad 5 Wang, Zhao 5 Zhang, Chuanzeng 4 Aida-Zade, Kamil Rajab 4 Ben-Romdhane, Mohamed 4 Chen, Linchong 4 Dong, Leiting 4 El-Zahar, Essam Roshdy 4 Hong, Yongxing 4 Hua, Qingsong 4 Huang, Hung-Tsai 4 Lesnic, Daniel 4 Li, Botong 4 Li, Weiwei 4 Liu, Bo 4 Liu, Dongjie 4 Marin, Liviu 4 Oruç, Ömer 4 Rezaiee-Pajand, Mohammad 4 Sharifian, Mehrdad 4 Singh, Randhir 4 Tang, Hui 4 Temimi, Helmi 4 Tsai, Chia-Cheng 4 Xi, Qiang 4 Xiao, Heng 4 Xiao, Jing-En 4 Zhang, Xiaoli 4 Zhang, Yuhui 3 Atluri, Satya N. 3 Bruhns, Otto Timme 3 Chai, Yingbin 3 Chen, Bosheng 3 Doha, Eid H. 3 Galaktionov, Victor Aleksandrovich 3 Grabski, Jakub Krzysztof 3 Hajiketabi, Mohammad 3 Hematiyan, Mohammad Rahim 3 Hon, Yiu-Chung 3 Huang, Rui 3 Lamichhane, A. R. 3 Liu, Chunsheng 3 Mehra, Mani 3 Meyers, Albert Thomas Marie 3 Miranville, Alain M. ...and 860 more Authors
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### Cited in 165 Serials

 127 Engineering Analysis with Boundary Elements 44 Computers & Mathematics with Applications 40 Inverse Problems in Science and Engineering 33 Applied Mathematics and Computation 30 Applied Mathematics Letters 25 Applied Mathematical Modelling 20 Journal of Computational and Applied Mathematics 16 Boundary Value Problems 15 Applicable Analysis 15 Advances in Applied Mathematics and Mechanics 12 International Journal of Heat and Mass Transfer 12 Journal of Mathematical Analysis and Applications 12 Mathematics and Computers in Simulation 12 Mathematical Problems in Engineering 11 Applied Mathematics and Optimization 10 Applied Numerical Mathematics 10 Communications in Nonlinear Science and Numerical Simulation 9 Mathematical Methods in the Applied Sciences 8 International Journal for Numerical Methods in Engineering 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Computer Methods in Applied Mechanics and Engineering 7 Numerical Algorithms 7 Journal of Inverse and Ill-Posed Problems 7 Nonlinear Dynamics 6 Acta Mechanica 6 Journal of Computational Physics 6 International Journal of Computer Mathematics 6 European Journal of Mechanics. A. Solids 6 Nonlinear Analysis. Modelling and Control 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Communications in Computational Physics 5 International Journal of Applied and Computational Mathematics 4 SIAM Journal on Control and Optimization 4 Computational Mechanics 4 Journal of Scientific Computing 4 Computational and Applied Mathematics 4 Journal of Mathematical Chemistry 4 Abstract and Applied Analysis 4 Journal of Inequalities and Applications 4 Acta Mathematica Sinica. English Series 4 Mathematical Modelling and Analysis 4 Advances in Difference Equations 4 AIMS Mathematics 3 International Journal of Control 3 Journal of Engineering Mathematics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Chaos, Solitons and Fractals 3 Acta Applicandae Mathematicae 3 Numerical Methods for Partial Differential Equations 3 Discrete Dynamics in Nature and Society 3 Journal of Applied Mathematics 3 Communications on Pure and Applied Analysis 3 Journal of Applied Mathematics and Computing 3 Quantum Information Processing 3 International Journal of Computational Methods 3 Discrete and Continuous Dynamical Systems. Series S 3 Advances in Mathematical Physics 3 Evolution Equations and Control Theory 3 Journal of Mathematics 3 Electronic Research Archive 2 Computer Physics Communications 2 International Journal of Plasticity 2 Journal of Mathematical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 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 International Journal of Numerical Methods for Heat & Fluid Flow 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 International Journal of Nonlinear Sciences and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Archives of Computational Methods in Engineering 2 Iranian Journal of Science and Technology. Transaction A: Science 2 Journal of Function Spaces 2 Journal of Mathematical Modeling 1 Archives of Mechanics 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Solids and Structures 1 Inverse Problems 1 Lithuanian Mathematical Journal 1 Nonlinearity 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Archiv der Mathematik 1 Automatica 1 Calcolo 1 Computing 1 International Journal of Mathematics and Mathematical Sciences 1 Meccanica 1 Numerische Mathematik ...and 65 more Serials
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### Cited in 41 Fields

 475 Numerical analysis (65-XX) 369 Partial differential equations (35-XX) 116 Mechanics of deformable solids (74-XX) 74 Ordinary differential equations (34-XX) 74 Fluid mechanics (76-XX) 73 Classical thermodynamics, heat transfer (80-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 15 Operator theory (47-XX) 15 Biology and other natural sciences (92-XX) 13 Systems theory; control (93-XX) 11 Integral equations (45-XX) 11 Mechanics of particles and systems (70-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Optics, electromagnetic theory (78-XX) 8 Probability theory and stochastic processes (60-XX) 8 Operations research, mathematical programming (90-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Real functions (26-XX) 6 Computer science (68-XX) 6 Geophysics (86-XX) 6 Information and communication theory, circuits (94-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 4 Quantum theory (81-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX)