# zbMATH — the first resource for mathematics

## Liu, Chein-Shan

Compute Distance To:
 Author ID: liu.chein-shan Published as: Liu, Chein-Shan; Liu, Changchun; Liu, C.; Liu, C.-S.; Liu, C. C.; Liu, Chang Chun; Liu, Chang-Chun; Liu, C.-C. Homepage: https://sg.linkedin.com/in/chein-shan-liu-4205a937 External Links: ORCID · ResearchGate · dblp
 Documents Indexed: 359 Publications since 1987
all top 5

#### Co-Authors

 136 single-authored 26 Chang, Chih-Wen 20 Chang, Jiang-ren 18 Atluri, Satya N. 16 Hong, Hong-Ki 12 Yeih, Weichung 11 Yin, Jingxue 10 Zhao, Xiaopeng 9 Wang, Fajie 8 Kuo, Chung-Lun 8 Wang, Zhao 7 Chen, Yung-Wei 7 Li, Botong 7 Liu, Aibo 6 Tang, Hui 6 Zhang, Xiaoli 5 Li, Zhenbang 5 Lin, Ji 4 Ku, Cheng-Yu 4 Lian, Songzhe 3 Gu, Yan 3 Li, Pingping 3 Liu, Dongjie 3 Lu, Hexiang 3 Qiu, Lin 3 Wang, Jiaojiao 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 Qu, Wenzhen 2 Wang, Huimin 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, Bosheng 1 Chen, Wen 1 Chiang, Chia-Yen 1 Dong, Leiting 1 El-Zahar, Essam R. 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 Hashemi, Mir Sajjad 1 Hong, Yongxing 1 Jin, Manli 1 Karmakar, Chandan 1 Kreps, M. 1 Ku, Yu-Ling 1 Kuhr, Tomas 1 Kuo, Leihsin 1 Lang, Honglei 1 Lee, Hung-Chang 1 Lee, Tsung-Lin 1 Li, Chi-Fu 1 Li, Huilai 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 Maksimović, Petar 1 Morlock, J. 1 Oakes, L. 1 Paulini, M. 1 Pueschel, E. 1 Qi, Yuanwei 1 Raabe, Dierk 1 Rowe, Glenn W. A. 1 Schmidt, Andreas 1 Shanthraj, Pratheek 1 Shen, Ying-Hsiu 1 Shi, Bo 1 Shi, Gongcao 1 Shum, Heung-Yeung 1 Stipcich, G. ...and 24 more Co-Authors
all top 5

#### Serials

 72 CMES. Computer Modeling in Engineering & Sciences 25 Engineering Analysis with Boundary Elements 17 Applied Mathematics Letters 14 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 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 Electronic Journal of Differential Equations (EJDE) 6 Communications in Nonlinear Science and Numerical Simulation 6 Journal of Applied Mathematics 5 Journal of Computational Physics 5 Journal of Computational and Applied Mathematics 5 Applied Mathematical Modelling 4 Journal of Sound and Vibration 4 Applied Mathematics and Computation 4 International Journal of Applied Mathematics 4 Communications on Pure and Applied Analysis 4 Boundary Value Problems 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 Applied Mathematics and Optimization 2 Archiv der Mathematik 2 Mathematics and Computers in Simulation 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 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Jilin University. Science Edition 2 Evolution Equations and Control Theory 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 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 Data & Knowledge Engineering 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 European Journal of Mechanics. A. Solids 1 Journal of High Energy Physics 1 Mathematical Modelling and Analysis 1 Boletín de la Asociación Matemática Venezolana 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series B 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 1 Asian Journal of Control 1 Journal of Mathematics 1 Bollettino dell’Unione Matematica Italiana
all top 5

#### Fields

 172 Numerical analysis (65-XX) 140 Partial differential equations (35-XX) 52 Mechanics of deformable solids (74-XX) 35 Fluid mechanics (76-XX) 34 Ordinary differential equations (34-XX) 21 Classical thermodynamics, heat transfer (80-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Mechanics of particles and systems (70-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Biology and other natural sciences (92-XX) 8 Systems theory; control (93-XX) 7 Operations research, mathematical programming (90-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 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 2 Topological groups, Lie groups (22-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

265 Publications have been cited 1,771 times in 670 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
The Lie-group shooting method for solving the Bratu equation. Zbl 1222.65067
Abbasbandy, S.; Hashemi, M. S.; Liu, Chein-Shan
2011
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
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
An effectively modified direct Trefftz method for 2D potential problems considering the domain’s characteristic length. Zbl 1259.65183
Liu, Chein-Shan
2007
A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equation. Zbl 1244.65188
Liu, Chein-Shan
2008
A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperature. Zbl 1157.80395
Liu, Chein-Shan
2009
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
Optimal control of the convective Cahn-Hilliard equation. Zbl 1269.49003
Zhao, Xiaopeng; Liu, Changchun
2013
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
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 control problem for viscous Cahn-Hilliard equation. Zbl 1228.49008
Zhao, Xiaopeng; Liu, Changchun
2011
Optimally scaled vector regularization method to solve ill-posed linear problems. Zbl 1259.65067
Liu, Chein-Shan
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 1231.65071
Liu, Chein-Shan; Hong, Hong-Ki; Atluri, Satya N.
2010
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
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
The Lie-group shooting method for nonlinear two-point boundary value problems exhibiting multiple solutions. Zbl 1232.65108
Liu, Chein-Shan
2006
A two-side equilibration method to reduce the condition number of an ill-posed linear system. Zbl 1356.65116
Liu, Chein-Shan
2013
The Lie-group shooting method for singularly perturbed two-point boundary value problems. Zbl 1152.65452
Liu, Chein-Shan
2006
A highly accurate MCTM for inverse Cauchy problems of Laplace equation in arbitrary plane domains. Zbl 1153.65359
Liu, Chein-Shan
2008
A highly accurate collocation Trefftz method for solving the Laplace equation in the doubly connected domains. Zbl 1130.65114
Liu, Chein-Shan
2008
One-step GPS for the estimation of temperature-dependent thermal conductivity. Zbl 1189.80038
Liu, Chein-Shan
2006
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
An efficient backward group preserving scheme for the backward in time Burgers equation. Zbl 1232.65130
Liu, Chein-Shan
2006
On the convective Cahn-Hilliard equation with degenerate mobility. Zbl 1158.35077
Liu, Changchun
2008
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 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
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 multiple-scale Trefftz method for an incomplete Cauchy problem of biharmonic equation. Zbl 1287.65103
Liu, Chein-Shan
2013
Internal symmetry in the constitutive model of perfect elastoplasticity. Zbl 1068.74518
Hong, Hong-Ki; Liu, Chein-Shan
2000
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
An LGSM to identify nonhomogeneous heat conductivity functions by an extra measurement of temperature. Zbl 1144.80374
Liu, Chein-Shan
2008
Time periodic solutions for a sixth order nonlinear parabolic equation in two space dimensions. Zbl 1284.35037
Liu, Changchun; Wang, Zhao
2014
Internal symmetry in bilinear elastoplasticity. Zbl 1342.74025
Hong, Hong-Ki; Liu, Chein-Shan
1999
A multiple-scale Pascal polynomial triangle solving elliptic equations and inverse Cauchy problems. Zbl 1403.65170
Liu, Chein-Shan; Kuo, Chung-Lun
2016
A fourth order parabolic equation with nonlinear principal part. Zbl 1128.35048
Liu, Changchun
2008
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
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
A dynamical Tikhonov regularization for solving ill-posed linear algebraic systems. Zbl 1259.65068
Liu, Chein-Shan
2013
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
A multiple-scale Pascal polynomial for 2D Stokes and inverse Cauchy-Stokes problems. Zbl 1351.76219
Liu, Chein-Shan; Young, D. L.
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
Identification of temperature-dependent thermophysical properties in a partial differential equation subject to extra final measurement data. Zbl 1129.65064
Liu, Chein-Shan
2007
Internal symmetry groups for the Drucker-Prager material model of plasticity and numerical integrating methods. Zbl 1082.74505
Liu, Chein-Shan
2004
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
Qualitative properties for a sixth-order thin film equation. Zbl 1221.35101
Liu, Changchun
2010
Lorentz group on Minkowski spacetime for construction of the two basic principles of plasticity. Zbl 1345.74022
Hong, Hong-Ki; Liu, Chein-Shan
2001
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
Regularity of solutions of the Cahn-Hilliard equation with concentration dependent mobility. Zbl 0984.35072
Yin, Jingxue; Liu, Changchun
2001
The fourth-order group preserving methods for the integrations of ordinary differential equations. Zbl 1357.65088
Lee, Hung-Chang; Liu, Chein-Shan
2009
High order finite difference and multigrid methods for spatially evolving instability in a planar channel. Zbl 0769.76038
Liu, C.; Liu, Z.
1993
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 Lie-group shooting method for reconstructing a past time-dependent heat source. Zbl 1262.80086
Liu, Chein-Shan
2012
The pre/post equilibrated conditioning methods to solve Cauchy problems. Zbl 1297.65136
Liu, Chein-Shan
2014
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 Lie-group adaptive differential quadrature method to identify an unknown force in an Euler-Bernoulli beam equation. Zbl 1356.74108
Liu, Chein-Shan
2012
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
Regularity of solutions for a fourth order parabolic equation. Zbl 1129.35019
Liu, Changchun
2006
The existence of global attractor for a fourth-order parabolic equation. Zbl 1270.35125
Zhao, Xiaopeng; Liu, Changchun
2013
A consistent numerical scheme for the von Mises mixed-hardening constitutive equations. Zbl 1254.74116
Liu, Chein-Shan
2004
The Lie-group shooting method for solving nonlinear singularly perturbed boundary value problems. Zbl 1244.65113
Liu, Chein-Shan
2012
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
Nonstandard group-preserving schemes for very stiff ordinary differential equations. Zbl 1357.65090
Liu, Chein-Shan
2005
Solving an inverse Sturm-Liouville problem by a Lie-group method. Zbl 1154.34005
Liu, Chein-Shan
2008
A new algorithm for direct and backward problems of heat conduction equation. Zbl 1201.80012
Chang, Chih-Wen; Liu, Chein-Shan
2010
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
Improving the ill-conditioning of the method of fundamental solutions for 2D Laplace equation. Zbl 1232.65170
Liu, Chein-Shan
2008
A generalized thin film equation. Zbl 1071.35067
Liu, Changchun; Yin, Jingxue; Gao, Hongjun
2004
An optimal tri-vector iterative algorithm for solving ill-posed linear inverse problems. Zbl 1281.65100
Liu, Chein-Shan
2013
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
Liu, Chein-Shan
2003
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 meshless regularized integral equation method for Laplace equation in arbitrary interior or exterior plane domains. Zbl 1184.65114
Liu, Chein-Shan
2007
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
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 efficient simultaneous estimation of temperature-dependent thermophysical properties. Zbl 1357.80010
Liu, Chein-Shan
2006
Non-oscillation criteria for hypoelastic models under simple shear deformation. Zbl 1003.74012
Liu, Chein-Shan; Hong, Hong-Ki
1999
An iterative and adaptive Lie-group method for solving the Calderón inverse problem. Zbl 1231.78039
Liu, Chein-Shan; Atluri, Satya N.
2010
A new shooting method for solving boundary layer equations in fluid mechanics. Zbl 1232.65104
Liu, Chein-Shan; Chang, Chih-Wen; Chang, Jiang-Ren
2008
Applications of the fictitious time integration method using a new time-like function. Zbl 1232.65118
Ku, Cheng-Yu; Yeih, Weichung; Liu, Chein-Shan; Chi, Chih-Chang
2009
Reconstructing a second-order Sturm-Liouville operator by an energetic boundary function iterative method. Zbl 1375.65100
Liu, Chein-Shan; Li, Botong
2017
Regularity of solutions of the Cahn-Hilliard equation with non-constant mobility. Zbl 1106.35011
Liu, Changchun; Qi, Yuanwei; Yin, Jingxue
2006
Highly accurate computation of spatial-dependent heat conductivity and heat capacity in inverse thermal problem. Zbl 1184.65090
Liu, Chein-Shan; Liu, Li-Wei; Hong, Hong-Ki
2007
A Jordan algebra and dynamic system with associator as vector field. Zbl 1006.70015
Liu, Chein-Shan
2000
Some properties of solutions for viscous Cahn-Hilliard equation. Zbl 0928.35022
Liu, Changchun; Yin, Jingxue
1998
Lie symmetries of finite strain elastic-perfectly plastic models and exactly consistent schemes for numerical integrations. Zbl 1106.74327
Liu, Chein-Shan
2004
Symmetry groups and the pseudo-Riemann spacetimes for mixed-hardening elastoplasticity. Zbl 1065.74517
Liu, Chein-Shan
2003
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
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
Simulating thin plate bending problems by a family of two-parameter homogenization functions. Zbl 07190973
Liu, Chein-Shan; Qiu, Lin; Lin, Ji
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
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
Optimal control problem for the Cahn-Hilliard/Allen-Cahn equation with state constraint. Zbl 1447.49008
Zhang, Xiaoli; Li, Huilai; Liu, Changchun
2020
Forced and free vibrations of composite beams solved by an energetic boundary functions collocation method. Zbl 07318093
Liu, Chein-Shan; Li, Botong
2020
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
$$p$$-biharmonic parabolic equations with logarithmic nonlinearity. Zbl 1406.35146
Wang, Jiaojiao; Liu, Changchun
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
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
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
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
Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functions. Zbl 07144733
Liu, Chein-Shan; Li, Botong
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
Global attractor for a smectic-A liquid crystal model in 2D. Zbl 1404.35062
Liu, Aibo; Liu, Changchun
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
Some properties of solutions for a sixth-order Cahn-Hilliard type equation with inertial term. Zbl 1403.35156
Liu, Changchun; Wang, Jiaojiao
2018
Highly accurate algorithms endowing with boundary functions for solving a nonlinear beam equation involving an integral term. Zbl 06876285
Liu, Chein-Shan; Li, Botong
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
Trefftz energy method for solving the Cauchy problem of the Laplace equation. Zbl 1466.65168
Liu, Chein-Shan; Wang, Fajie; Gu, Yan
2018
Reconstructing a second-order Sturm-Liouville operator by an energetic boundary function iterative method. Zbl 1375.65100
Liu, Chein-Shan; Li, Botong
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
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
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
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
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
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
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
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 triangle solving elliptic equations and inverse Cauchy problems. Zbl 1403.65170
Liu, Chein-Shan; Kuo, Chung-Lun
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 BIEM using the Trefftz test functions for solving the inverse Cauchy and source recovery problems. Zbl 1403.65121
Liu, Chein-Shan
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
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 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
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 simple Trefftz method for solving the Cauchy problems of three-dimensional Helmholtz equation. Zbl 1403.65122
Liu, Chein-Shan
2016
Study of weak solutions for a higher order nonlinear degenerate parabolic equation. Zbl 1346.35114
Liu, Changchun; Tang, Hui
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
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
A driven sixth-order Cahn-Hilliard equation with concentration dependent mobility. Zbl 1399.35142
Liu, Changchun; Tang, Hui
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
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
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
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
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
Cauchy problem for a sixth order Cahn-Hilliard type equation with inertial term. Zbl 1339.35193
Liu, Changchun; Liu, Aibo
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
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
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
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
The backward group preserving scheme for multi-dimensional nonhomogeneous and nonlinear backward wave problems. Zbl 1429.65219
Chang, Chih-Wen; 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
To solve the inverse Cauchy problem in linear elasticity by a novel Lie-group integrator. Zbl 1308.65189
Liu, Chein-Shan
2014
A globally optimal tri-vector method to solve an ill-posed linear system. Zbl 1293.65063
Liu, Chein-Shan
2014
Optimal algorithms in a Krylov subspace for solving linear inverse problems by MFS. Zbl 1297.65114
Liu, Chein-Shan
2014
Application of a modified manifold-based exponentially convergent algorithm to solve elliptic boundary-value problems. Zbl 1282.65127
Chen, Yung-Wei; Chang, Chun-Ming; Liu, Chein-Shan; Chang, Jiang-Ren
2014
Chaotic dynamic analysis of aquatic phytoplankton system. Zbl 1407.34059
Wang, C. C.; Liu, C. C.
2014
A vector regularization method to solve linear inverse problems. Zbl 1329.65083
Liu, Chein-Shan
2014
An LGDAE method to solve nonlinear Cauchy problem without initial temperature. Zbl 1357.65159
Liu, Chein-Shan
2014
The critical Fujita exponent for a diffusion equation with a potential term. Zbl 1335.35093
Liu, Changchun
2014
Optimal control of the convective Cahn-Hilliard equation. Zbl 1269.49003
Zhao, Xiaopeng; Liu, Changchun
2013
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
A two-side equilibration method to reduce the condition number of an ill-posed linear system. Zbl 1356.65116
Liu, Chein-Shan
2013
A multiple-scale Trefftz method for an incomplete Cauchy problem of biharmonic equation. Zbl 1287.65103
Liu, Chein-Shan
2013
Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions. Zbl 1263.35127
Liu, Changchun
2013
A dynamical Tikhonov regularization for solving ill-posed linear algebraic systems. Zbl 1259.65068
Liu, Chein-Shan
2013
The existence of global attractor for a fourth-order parabolic equation. Zbl 1270.35125
Zhao, Xiaopeng; Liu, Changchun
2013
An optimal tri-vector iterative algorithm for solving ill-posed linear inverse problems. Zbl 1281.65100
Liu, Chein-Shan
2013
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
An iterative $$GL(n,\mathbb{R})$$ method for solving non-linear inverse vibration problems. Zbl 1279.22033
Liu, Chein-Shan
2013
Optimal control of a fourth-order parabolic equation modeling epitaxial thin film growth. Zbl 1273.35161
Zhao, Xiaopeng; Liu, Changchun
2013
A $$\mathrm{GL}(n,\mathbb R)$$ differential algebraic equation method for numerical differentiation of noisy signal. Zbl 1356.93029
Liu, Chein-Shan; Atluri, Satya N.
2013
A Lie-group $$\mathrm{DSO}(n)$$ method for nonlinear dynamical systems. Zbl 1315.34023
Liu, Chein-Shan
2013
Time-periodic solutions for a driven sixth-order Cahn-Hilliard type equation. Zbl 1293.35017
Liu, Changchun; Liu, Aibo; Tang, Hui
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
An optimally generalized steepest-descent algorithm for solving ill-posed linear systems. Zbl 1397.65052
Liu, Chein-Shan
2013
Some properties of solutions for a fourth-order parabolic equation. Zbl 1259.35043
Zhao, Xiaopeng; Zhang, Min; Liu, Changchun
2013
A scalar homotopy method with optimal hybrid search directions for solving nonlinear algebraic equations. Zbl 1356.65142
Yeih, Weichung; Ku, Cheng-Yu; Liu, Chein-Shan; Chan, I-Yao
2013
An equilibrated method of fundamental solutions to choose the best source points for the Laplace equation. Zbl 1352.65637
Liu, Chein-Shan
2012
Optimally scaled vector regularization method to solve ill-posed linear problems. Zbl 1259.65067
Liu, Chein-Shan
2012
...and 165 more Documents
all top 5

#### Cited by 825 Authors

 131 Liu, Chein-Shan 23 Lin, Ji 22 Fan, Chia-Ming 22 Zhao, Xiaopeng 19 Fu, Chuli 19 Wang, Fajie 16 Gu, Yan 16 Yang, Fan 15 Sprekels, Jürgen 12 Chang, Chih-Wen 12 Fu, Zhuojia 12 Gilardi, Gianni 12 Li, Xiaoxiao 11 Chen, Ching-Shyang 11 Chen, Wen 11 Colli, Pierluigi 10 Duan, Ning 10 Qu, Wenzhen 9 Chang, Jiang-ren 9 Li, Xiaolin 9 Sun, Linlin 9 Yeih, Weichung 8 Hashemi, Mir Sajjad 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 Karageorghis, Andreas 7 Li, Po-Wei 7 Li, Zi-Cai 7 Xiong, Xiangtuan 6 Kuo, Chung-Lun 6 Reutskiy, Sergiy Yu 5 Akgül, Ali 5 Auricchio, Ferdinando 5 Băleanu, Dumitru I. 5 Borkowski, Mariusz 5 Dehghan Takht Fooladi, Mehdi 5 Li, Yinghua 5 Li, Zhenbang 5 Liu, Aibo 5 Liu, Chih-Yu 5 Liu, Fengnan 5 Mierzwiczak, Magdalena 5 Qian, Zhi 5 Rocca, Elisabetta 5 Sharifian, Mehrzad 5 Wang, Zhao 4 Aida-Zade, Kamil Rajab 4 Ben-Romdhane, Mohamed 4 Chen, Linchong 4 Dong, Leiting 4 Hua, Qingsong 4 Huang, Hung-Tsai 4 Inc, Mustafa 4 Lesnic, Daniel 4 Li, Botong 4 Li, Junpu 4 Li, Weiwei 4 Liu, Bo 4 Lu, Jun 4 Marin, Liviu 4 Qin, Qinghua 4 Qiu, Lin 4 Rezaiee-Pajand, Mohammad 4 Sharifian, Mehrdad 4 Tang, Hui 4 Temimi, Helmi 4 Xi, Qiang 4 Xiao, Heng 4 Xiao, Jing-En 4 Zhang, Xiaoli 3 Atluri, Satya N. 3 Bruhns, Otto Timme 3 Doha, Eid H. 3 Galaktionov, Victor Aleksandrovich 3 Grabski, Jakub Krzysztof 3 Hajiketabi, Mohammad 3 Hon, Yiu-Chung 3 Hong, Yongxing 3 Huang, Rui 3 Liu, Chunsheng 3 Liu, Dongjie 3 Meyers, Albert Thomas Marie 3 Nguyen Huy Tuan 3 Oruç, Ömer 3 Rahimov, Anar B. 3 Ren, ChunPing 3 Ren, Yupeng 3 Rostamian, Malihe 3 Shahrezaee, Alimardan 3 Singh, Randhir 3 Tsai, Chia-Cheng 3 Wang, Fuzhang 3 Wang, NengJian 3 Wen, Jin 3 Wu, Hao ...and 725 more Authors
all top 5

#### Cited in 149 Serials

 124 Engineering Analysis with Boundary Elements 44 Computers & Mathematics with Applications 36 Inverse Problems in Science and Engineering 28 Applied Mathematics and Computation 27 Applied Mathematics Letters 24 Applied Mathematical Modelling 20 Journal of Computational and Applied Mathematics 15 Applicable Analysis 13 Mathematical Problems in Engineering 12 International Journal of Heat and Mass Transfer 11 Boundary Value Problems 10 Journal of Mathematical Analysis and Applications 10 Applied Numerical Mathematics 9 Mathematical Methods in the Applied Sciences 9 Communications in Nonlinear Science and Numerical Simulation 8 Applied Mathematics and Optimization 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 Journal of Computational Physics 6 Mathematics and Computers in Simulation 6 European Journal of Mechanics. A. Solids 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Acta Mechanica 5 Nonlinear Analysis. Modelling and Control 4 SIAM Journal on Control and Optimization 4 Computational Mechanics 4 Journal of Scientific Computing 4 International Journal of Computer Mathematics 4 Abstract and Applied Analysis 4 Acta Mathematica Sinica. English Series 4 International Journal of Applied and Computational Mathematics 3 Journal of Engineering Mathematics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Acta Applicandae Mathematicae 3 Numerical Methods for Partial Differential Equations 3 Discrete Dynamics in Nature and Society 3 Journal of Applied Mathematics 3 Quantum Information Processing 3 International Journal of Computational Methods 3 Evolution Equations and Control Theory 2 Computer Physics Communications 2 International Journal of Control 2 International Journal of Plasticity 2 Chaos, Solitons and Fractals 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 Computational and Applied Mathematics 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Discrete and Continuous Dynamical Systems 2 Journal of Mathematical Chemistry 2 Mathematics and Mechanics of Solids 2 Journal of Inequalities and Applications 2 Fractional Calculus & Applied Analysis 2 Journal of Dynamical and Control Systems 2 Nonlinear Analysis. Real World Applications 2 Mathematical Modelling and Analysis 2 Archives of Computational Methods in Engineering 2 Iranian Journal of Science and Technology. Transaction A: Science 2 Communications on Pure and Applied Analysis 2 Journal of Applied Mathematics and Computing 2 Advances in Difference Equations 2 Advances in Mathematical Physics 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 Journal of Mathematical Physics 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 1 Bulletin of the Iranian Mathematical Society 1 COMPEL 1 Asia-Pacific Journal of Operational Research 1 Asymptotic Analysis 1 Japan Journal of Industrial and Applied Mathematics 1 Communications in Statistics. Theory and Methods 1 SIAM Journal on Mathematical Analysis 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering ...and 49 more Serials
all top 5

#### Cited in 41 Fields

 417 Numerical analysis (65-XX) 308 Partial differential equations (35-XX) 108 Mechanics of deformable solids (74-XX) 69 Classical thermodynamics, heat transfer (80-XX) 64 Fluid mechanics (76-XX) 60 Ordinary differential equations (34-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 14 Operator theory (47-XX) 11 Statistical mechanics, structure of matter (82-XX) 11 Systems theory; control (93-XX) 9 Integral equations (45-XX) 9 Mechanics of particles and systems (70-XX) 9 Biology and other natural sciences (92-XX) 8 Optics, electromagnetic theory (78-XX) 7 Operations research, mathematical programming (90-XX) 6 Probability theory and stochastic processes (60-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Real functions (26-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Computer science (68-XX) 5 Information and communication theory, circuits (94-XX) 4 Functional analysis (46-XX) 4 Quantum theory (81-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 3 Geophysics (86-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 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Global analysis, analysis on manifolds (58-XX)