## Chen, Ching-Shyang

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 Author ID: chen.ching-shyang Published as: Chen, C. S.; Chen, Ching-Shyang
 Documents Indexed: 172 Publications since 1972, including 2 Books 3 Contributions as Editor Co-Authors: 81 Co-Authors with 119 Joint Publications 2,182 Co-Co-Authors
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### Co-Authors

 7 single-authored 24 Golberg, Michael A. 20 Karageorghis, Andreas 11 Lin, Ji 8 Li, Jichun 8 Muleshkov, Angel S. 7 Chen, Wen 7 Dou, Fangfang 7 Liu, Xiaoyan 7 Yao, Guangming 6 Cheng, Alexander H.-D. 6 Hon, Yiu-Chung 6 Zheng, Hui 5 Lamichhane, A. R. 5 Rashed, Youssef F. 5 Wen, Pihua 4 Jankowska, Malgorzata A. 4 Jiang, Xinrong 4 Li, Zi-Cai 4 Power, Henry 4 Savits, Thomas H. 4 Tian, Zhaolu 3 Bowman, Harold 3 Dangal, Thir 3 Fu, Zhuojia 3 Li, Xinxiang 3 Lu, Jun 3 Reutskiy, Sergiy Yu 3 Tsai, Chia-Cheng 2 Alves, Carlos J. S. 2 Amuzu, Lionel 2 Brebbia, Carlos Alberto 2 Chang, Wanru 2 Deng, Cheng 2 Ganesh, Mahadevan 2 Liu, Chein-Shan 2 Marcozzi, Michael D. 2 Noorizadegan, Amir 2 Šarler, Božidar 2 Siy, Pepe 2 Smyrlis, Yiorgos-Sokratis 2 Wang, Dan 2 Watson, Daniel W. 2 Xiong, Jingang 2 Xu, Yangsheng 2 Zhang, Xueying 1 Acheampong, Kwesi 1 An, Xin 1 António, Julieta M. P. 1 Chen, Chuin-Shan 1 Chen, Muyuan 1 Chen, Wen 1 Chen, Yitung 1 Cheng, Ting-Shian 1 Cho, Hokwon A. 1 Choi, Seungmook S. 1 Comino, Eva 1 Cretegny, Thierry 1 de Abreu-Garcia, Jose Alexis 1 Deshpande, Vikram S. 1 Ding, Jiu 1 Dodhia, K. 1 Droppa, Peter 1 Duo, Jia 1 Evans, Anthony G. 1 Feng, Guorui 1 Fu, Mingfu 1 Golberg, M. D. 1 Gopalan, K. 1 Gospavic, Radovan 1 Gu, Meihua 1 Hao, Fang 1 Hsu, Taiwen 1 Huang, Chieh-Sen 1 Huang, Hung-Tsai 1 Iesulauro, E. 1 Ingber, Marc S. 1 Ingraffea, Anthony R. 1 Jiang, Pengfei 1 Kelemen, Miroslav 1 Khatri Ghimire, B. 1 Kolibal, Joseph 1 Kompiš, Vladimír 1 Kuhn, Günther 1 Kuo, Shyh-Rong 1 Kwok, Ting-On 1 Lee, Sungwook 1 Li, Zhiyong 1 Ling, Leevan 1 Liu, Xiaofeng 1 Liu, Yanshan 1 Lv, Hui 1 Ma, Zhiying 1 Mattheij, Robert M. M. 1 McGarry, J. P. 1 McMeeking, Robert M. 1 Mishuris, Gennady S. 1 Pei, Xiangnan 1 Pepper, Darrell W. 1 Perko, Janez 1 Popov, Viktor ...and 27 more Co-Authors
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### Serials

 36 Engineering Analysis with Boundary Elements 11 Computers & Mathematics with Applications 7 Communications in Computational Physics 6 Applied Mathematics and Computation 6 International Journal for Numerical Methods in Engineering 6 Mathematics and Computers in Simulation 6 International Journal of Computational Methods 5 Journal of Computational and Applied Mathematics 5 Numerical Methods for Partial Differential Equations 5 Applied Mathematics Letters 5 Applied Mathematical Modelling 5 Advances in Applied Mathematics and Mechanics 3 Computational Mechanics 3 Numerical Algorithms 3 Communications in Numerical Methods in Engineering 2 Modern Physics Letters B 2 Computer Methods in Applied Mechanics and Engineering 2 American Journal of Mathematics 2 Quarterly of Applied Mathematics 2 Applied Numerical Mathematics 2 Journal of Scientific Computing 2 Journal of Discrete Mathematical Sciences & Cryptography 1 International Journal of Control 1 International Journal for Numerical Methods in Fluids 1 International Journal of Systems Science 1 Journal of the Franklin Institute 1 Automatica 1 IEEE Transactions on Computers 1 Journal of Multivariate Analysis 1 Mechanics Research Communications 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Statistics & Probability Letters 1 International Journal of Production Research 1 Dynamic Systems and Applications 1 European Journal of Operational Research 1 IEEE Transactions on Systems, Man, and Cybernetics 1 International Journal of Computer Mathematics 1 SIAM Journal on Scientific Computing 1 Neural, Parallel & Scientific Computations 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Advances in Computational Mathematics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Combustion Theory and Modelling 1 Probability in the Engineering and Informational Sciences 1 CMES. Computer Modeling in Engineering & Sciences 1 Bulletin of the American Mathematical Society 1 Numerical Mathematics: Theory, Methods and Applications 1 International Journal for Numerical Methods in Biomedical Engineering 1 SpringerBriefs in Applied Sciences and Technology
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### Fields

 136 Numerical analysis (65-XX) 68 Partial differential equations (35-XX) 16 Mechanics of deformable solids (74-XX) 14 Fluid mechanics (76-XX) 10 Classical thermodynamics, heat transfer (80-XX) 6 Operations research, mathematical programming (90-XX) 5 Computer science (68-XX) 4 General and overarching topics; collections (00-XX) 4 Ordinary differential equations (34-XX) 4 Approximations and expansions (41-XX) 4 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Mathematical logic and foundations (03-XX) 2 Integral transforms, operational calculus (44-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

146 Publications have been cited 2,742 times in 1,315 Documents Cited by Year
The method of fundamental solutions for potential, Helmholtz and diffusion problems. Zbl 0945.65130
Golberg, M. A.; Chen, C. S.
1999
Some recent results and proposals for the use of radial basis functions in the BEM. Zbl 0948.65132
Golberg, M. A.; Chen, C. S.; Bowman, H.
1999
A numerical method for heat transfer problems using collocation and radial basis functions. Zbl 0907.65095
Zerroukat, M.; Power, H.; Chen, C. S.
1998
Chen, Wen; Fu, Zhuo-Jia; Chen, C. S.
2014
On choosing the location of the sources in the MFS. Zbl 1338.65269
Chen, C. S.; Karageorghis, Andreas; Li, Yan
2016
Some comments on the ill-conditioning of the method of fundamental solutions. Zbl 1187.65136
Chen, C. S.; Cho, Hokwon A.; Golberg, M. A.
2006
The method of approximate particular solutions for solving certain partial differential equations. Zbl 1242.65267
Chen, C. S.; Fan, C. M.; Wen, P. H.
2012
The method of fundamental solutions for non-linear thermal explosions. Zbl 0839.65143
Chen, C. S.
1995
Chen, C. S.; Lee, S. M.; Shen, Q. S.
1995
The method of approximate particular solutions for solving elliptic problems with variable coefficients. Zbl 1245.65172
Chen, C. S.; Fan, C. M.; Wen, P. H.
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
Particular solutions of Helmholtz-type operators using higher order polyharmonic splines. Zbl 0938.65139
Muleshkov, A. S.; Golberg, M. A.; Chen, C. S.
1999
A localized approach for the method of approximate particular solutions. Zbl 1221.65316
Yao, Guangming; Kolibal, Joseph; Chen, C. S.
2011
Dual reciprocity method using compactly supported radial basis functions. Zbl 0927.65140
Chen, C. S.; Brebbia, C. A.; Power, H.
1999
A new method of fundamental solutions applied to nonhomogeneous elliptic problems. Zbl 1070.65119
Alves, C. J. S.; Chen, C. S.
2005
Numerical comparisons of two meshless methods using radial basis functions. Zbl 1003.65132
Li, Jichun; Hon, Y. C.; Chen, C. S.
2002
A comparison of efficiency and error convergence of multiquadric collocation method and finite element method. Zbl 1044.76050
Li, Jichun; Cheng, Alexander H.-D.; Chen, Ching-Shyang
2003
Polynomial particular solutions for certain partial differential operators. Zbl 1019.65096
Golberg, M. A.; Muleshkov, A. S.; Chen, C. S.; Cheng, A. H.-D.
2003
The method of fundamental solutions and quasi-Monte Carlo method for diffusion equations. Zbl 0929.76098
Chen, C. S.; Golberg, M. A.; Hon, Y. C.
1998
BEM for thermoelasticity and elasticity with body force – a revisit. Zbl 1014.74075
Cheng, A. H.-D.; Chen, C. S.; Golberg, M. A.; Rashed, Y. F.
2001
On the use of boundary conditions for variational formulations arising in financial mathematics. Zbl 1047.91033
Marcozzi, Michael D.; Choi, Seungmook; Chen, C. S.
2001
Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations. Zbl 1464.65267
Fan, C. M.; Huang, Y. K.; Chen, C. S.; Kuo, S. R.
2019
Multilevel compact radial functions based computational schemes for some elliptic problems. Zbl 0999.65143
Chen, C. S.; Ganesh, M.; Golberg, M. A.; Cheng, A. H.-D.
2002
A mesh free approach using radial basis functions and parallel domain decomposition for solving three-dimensional diffusion equations. Zbl 1178.76276
Ingber, M. S.; Chen, C. S.; Tanski, J. A.
2004
The method of particular solutions for solving scalar wave equations. Zbl 1208.65153
Wen, P. H.; Chen, C. S.
2010
Some comments on the use of radial basis functions in the dual reciprocity method. Zbl 0931.65116
Golberg, M. A.; Chen, C. S.; Bowman, H.; Power, H.
1998
Discrete projection methods for integral equations. Zbl 0900.65384
Golberg, Michael A.; Chen, Ching-Shyang
1997
A comparison of three explicit local meshless methods using radial basis functions. Zbl 1259.65155
Yao, Guangming; Šarler, Bozidar; Chen, C. S.
2011
Particular solutions of 3D Helmholtz-type equations using compactly supported radial basis functions. Zbl 0994.76058
Golberg, M. A.; Chen, C. S.; Ganesh, M.
2000
The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions. Zbl 1350.65136
Li, Ming; Chen, C. S.; Karageorghis, A.
2013
Polynomial particular solutions for solving elliptic partial differential equations. Zbl 1368.65255
Dangal, Thir; Chen, C. S.; Lin, Ji
2017
The localized RBFs collocation methods for solving high dimensional PDEs. Zbl 1287.65115
Li, Ming; Chen, Wen; Chen, C. S.
2013
Particular solutions of splines and monomials for polyharmonic and products of Helmholtz operators. Zbl 1244.65209
Tsai, C. C.; Cheng, A. H.-D.; Chen, C. S.
2009
Evaluation of thin plate spline based particular solutions for Helmholtz-type operators for the DRM. Zbl 0914.65115
Chen, C. S.; Rashed, Youssef F.
1998
A matrix decomposition RBF algorithm: approximation of functions and their derivatives. Zbl 1107.65305
Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis
2007
Improved Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1403.65159
Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S.
2018
A numerical method for semilinear singular parabolic quenching problems. Zbl 0675.65124
Chan, C. Y.; Chen, C. S.
1989
A mesh-free approach to solving the axisymmetric Poisson’s equation. Zbl 1072.65154
Chen, C. S.; Muleshkov, A. S.; Golberg, M. A.; Mattheij, R. M. M.
2005
Matrix decomposition RBF algorithm for solving 3D elliptic problems. Zbl 1244.65184
Karageorghis, A.; Chen, C. S.; Smyrlis, Y.-S.
2009
Some observations on unsymmetric radial basis function collocation methods for convection-diffusion problems. Zbl 1062.65504
Li, Jichun; Chen, C. S.
2003
The method of fundamental solutions for solving Poisson problems. Zbl 1011.65086
Alves, C. J. S.; Chen, C. S.; Săler, B.
2002
Radial basis function collocation method solution of natural convection in porous media. Zbl 1103.76361
Šarler, Božidar; Perko, Janez; Chen, Ching-Shyang
2004
A novel RBF collocation method using fictitious centres. Zbl 1464.65198
Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang
2020
The annihilator method for computing particular solutions to partial differential equations. Zbl 0945.65131
Golberg, M. A.; Chen, C. S.; Rashed, Y. F.
1999
Las Vegas method for diffusion equations. Zbl 0903.76065
Chen, C. S.; Golberg, M. A.
1997
Derivation of particular solutions using Chebyshev polynomial based functions. Zbl 1198.65245
Chen, C. S.; Lee, Sungwook; Huang, C.-S.
2007
Some comments on the use of radial basis functions in the dual reciprocity method. Zbl 0915.73071
Golberg, M. A.; Chen, C. S.; Bowman, H.; Power, H.
1998
Value sets of polynomials over finite fields. Zbl 0784.11056
Wan, Daqing; Shiue, Peter Jau-Shyong; Chen, C. S.
1993
Recent developments in the dual reciprocity method using compactly supported radial basis functions. Zbl 1043.65133
Chen, C. S.; Golberg, M. A.; Schaback, Robert A.
2003
The method of particular solutions for solving axisymmetric polyharmonic and poly-Helmholtz equations. Zbl 1244.65225
Tsai, Chia-Cheng; Chen, C. S.; Hsu, Tai-Wen
2009
A boundary meshless method using Chebyshev interpolation and trigonometric basis function for solving heat conduction problems. Zbl 1191.80044
Reutskiy, S. Yu.; Chen, C. S.; Tian, H. Y.
2008
Fast solution for solving the modified Helmholtz equation withthe method of fundamental solutions. Zbl 1388.65179
Chen, C. S.; Jiang, Xinrong; Chen, Wen; Yao, Guangming
2015
Kansa-RBF algorithms for elliptic problems in axisymmetric domains. Zbl 1432.65174
Karageorghis, Andreas; Chen, C. S.; Liu, Xiao-Yan
2016
A basis function for approximation and the solutions of partial differential equations. Zbl 1153.65116
Tian, H. Y.; Reutskiy, S.; Chen, C. S.
2008
Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems. Zbl 1480.74115
Lin, Ji; Chen, C. S.; Wang, Fajie; Dangal, Thir
2017
A modified method of approximate particular solutions for solving linear and nonlinear PDEs. Zbl 1383.65147
Yao, Guangming; Chen, Ching-Shyang; Zheng, Hui
2017
Approximation of multivariate functions and evaluation of particular solutions using Chebyshev polynomial and trigonometric basis functions. Zbl 1130.65115
Reutskiy, S. Y.; Chen, C. S.
2006
The closed-form particular solutions for Laplace and biharmonic operators using a Gaussian function. Zbl 1329.65298
Lamichhane, A. R.; Chen, C. S.
2015
Radial basis functions for solving near singular Poisson problems. Zbl 1018.65131
Chen, C. S.; Kuhn, G.; Li, J.; Mishuris, G.
2003
A Kansa-radial basis function method for elliptic boundary value problems in annular domains. Zbl 1328.65254
Liu, Xiao-Yan; Karageorghis, Andreas; Chen, C. S.
2015
Implicit local radial basis function interpolations based on function values. Zbl 1410.65026
Yao, Guangming; Duo, Jia; Chen, C. S.; Shen, L. H.
2015
A radial basis collocation method for Hamilton-Jacobi-Bellman equations. Zbl 1104.49024
Huang, C.-S.; Wang, S.; Chen, C. S.; Li, Z.-C.
2006
A revisit on the derivation of the particular solution for the differential operator $$\Delta^2 \pm \lambda^2$$. Zbl 1262.35086
Yao, Guangming; Chen, C. S.; Tsai, Chia Cheng
2009
The adaptive algorithm for the selection of sources of the method of fundamental solutions. Zbl 1403.65257
Lin, Ji; Lamichhane, A. R.; Chen, C. S.; Lu, Jun
2018
The method of fundamental solutions for solving exterior axisymmetric Helmholtz problems with high wave-number. Zbl 1279.35013
Chen, Wen; Lin, Ji; Chen, C. S.
2013
The MFS versus the Trefftz method for the Laplace equation in 3D. Zbl 1403.65259
Lv, Hui; Hao, Fang; Wang, Yong; Chen, C. S.
2017
A mesh-free method using hyperinterpolation and fast Fourier transform for solving differential equations. Zbl 1081.65110
Li, Xin; Chen, C. S.
2004
A meshless method for solving nonhomogeneous Cauchy problems. Zbl 1259.65193
Li, Ming; Chen, C. S.; Hon, Y. C.
2011
On a method of Atkinson for evaluating domain integrals in the boundary element method. Zbl 0797.65090
Golberg, Michael A.; Chen, C. S.
1994
The method of fundamental solutions and the quasi-Monte Carlo method for Poisson’s equation. Zbl 0831.65130
Chen, C. S.
1995
A boundary meshless method for solving heat transfer problems using the Fourier transform. Zbl 1262.65211
Tadeu, A.; Chen, C. S.; Antonio, J.; Simoes, Nuno
2011
Solving fourth order differential equations using particular solutions of Helmholtz-type equations. Zbl 1416.65470
Chang, Wanru; Chen, C. S.; Li, Wen
2018
A high accurate simulation of thin plate problems by using the method of approximate particular solutions with high order polynomial basis. Zbl 1403.74328
Xiong, Jingang; Jiang, Pengfei; Zheng, Hui; Chen, C. S.
2018
The dual reciprocity method for Helmholtz-type operators. Zbl 0929.65109
Chen, C. S.; Brebbia, C. A.
1998
Localized method of approximate particular solutions with Cole-Hopf transformation for multi-dimensional Burgers equations. Zbl 1297.65130
Lin, C. Y.; Gu, M. H.; Young, D. L.; Chen, C. S.
2014
Source nodes on elliptic pseudo-boundaries in the method of fundamental solutions for Laplace’s equation; selection of pseudo-boundaries. Zbl 1437.65223
Dou, Fangfang; Zhang, Li-Ping; Li, Zi-Cai; Chen, C. S.
2020
Improved finite integration method for partial differential equations. Zbl 1403.65264
Li, M.; Tian, Zhao Lu; Hon, Y. C.; Chen, C. S.; Wen, P. H.
2016
Particular solutions for axisymmetric Helmholtz-type operators. Zbl 1182.76930
Muleshkov, A. S.; Golberg, M. A.; Chen, C. S.
2005
Kansa RBF method for nonlinear problems. Zbl 1416.65479
Jankowska, M. A.; Karageorghis, A.; Chen, C. S.
2018
Computational test of approximation of functions and their derivatives by radial basis functions. Zbl 0998.65020
Li, Xin; Ho, C. H.; Chen, C. S.
2002
The method of fundamental solutions and compactly supported radial basis functions: A meshless approach to 3D problems. Zbl 0972.65098
Chen, C. S.; Marcozzi, M. D.; Choi, S.
1999
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
Transient 3D heat conduction in functionally graded materials by the method of fundamental solutions. Zbl 1297.80011
Li, Ming; Chen, C. S.; Chu, C. C.; Young, D. L.
2014
Rigid body concept for geometric nonlinear analysis of 3D frames, plates and shells based on the updated Lagrangian formulation. Zbl 1173.74450
Yang, Y. B.; Lin, S. P.; Chen, C. S.
2007
Optimal age and block replacement for a general maintenance model. Zbl 1134.90354
Chen, C. S.; Savits, Thomas H.
1992
On tight isometric immersion of codimension two. Zbl 0253.53050
Chen, C.-S.
1972
Analysis of the method of fundamental solutions for the modified Helmholtz equation. Zbl 1411.78011
Tian, Zhaolu; Li, Zi-Cai; Huang, Hung-Tsai; Chen, C. S.
2017
The radial basis function differential quadrature method with ghost points. Zbl 07318054
Lin, Ji; Zhao, Yuxiang; Watson, Daniel; Chen, C. S.
2020
The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems. Zbl 07318236
Karageorghis, Andreas; Tappoura, Demetriana; Chen, C. S.
2021
Numerical justification of fundamental solutions and the quasi-Monte Carlo method for Poisson-type equations. Zbl 0940.65133
Chen, C. S.; Golberg, M. A.; Hon, Y. C.
1998
Fast multipole accelerated boundary knot method for inhomogeneous Helmholtz problems. Zbl 1287.65137
Jiang, Xinrong; Chen, Wen; Chen, C. S.
2013
Method of fundamental solutions for multi-dimensional quenching problems. Zbl 0882.35064
Chan, C. Y.; Chen, C. S.
1996
A discounted cost relationship. Zbl 0657.62117
Chen, C. S.; Savits, Thomas H.
1988
Minimization of fuzzy functions. Zbl 0226.94035
Siy, Pepe; Chen, C. S.
1972
Fast method of approximate particular solutions using Chebyshev interpolation. Zbl 1403.65167
Lamichhane, A. R.; Young, D. L.; Chen, C. S.
2016
Finite integration method for solving multi-dimensional partial differential equations. Zbl 1443.65391
Li, M.; Chen, C. S.; Hon, Y. C.; Wen, P. H.
2015
Localized method of approximate particular solutions for solving unsteady Navier-Stokes problem. Zbl 1452.65292
Zhang, Xueying; Chen, Muyuan; Chen, C. S.; Li, Zhiyong
2016
Analysis on the method of fundamental solutions for biharmonic equations. Zbl 1429.65293
Dou, Fangfang; Li, Zi-Cai; Chen, C. S.; Tian, Zhaolu
2018
The MFS and MAFS for solving Laplace and biharmonic equations. Zbl 1403.65260
Pei, Xiangnan; Chen, C. S.; Dou, Fangfang
2017
Mesh-free method for groundwater modeling. Zbl 1086.76562
Li, J.; Chen, C. S.; Pepper, D.; Chen, Y.
2002
Fictitious centre RBF method for high order BVPs in multiply connected domains. Zbl 07443214
Karageorghis, Andreas; Noorizadegan, Amir; Chen, C. S.
2022
The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems. Zbl 07318236
Karageorghis, Andreas; Tappoura, Demetriana; Chen, C. S.
2021
Ghost point method using RBFs and polynomial basis functions. Zbl 1450.65010
Ma, Zhiying; Li, Xinxiang; Chen, C. S.
2021
Improved geometric modeling using the method of fundamental solutions. Zbl 07371651
Chen, C. S.; Amuzu, Lionel; Acheampong, Kwesi; Zhu, Huiqing
2021
Kansa RBF collocation method with auxiliary boundary centres for high order BVPs. Zbl 1478.65135
Chen, C. S.; Karageorghis, Andreas; Amuzu, Lionel
2021
A novel RBF collocation method using fictitious centres. Zbl 1464.65198
Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang
2020
Source nodes on elliptic pseudo-boundaries in the method of fundamental solutions for Laplace’s equation; selection of pseudo-boundaries. Zbl 1437.65223
Dou, Fangfang; Zhang, Li-Ping; Li, Zi-Cai; Chen, C. S.
2020
The radial basis function differential quadrature method with ghost points. Zbl 07318054
Lin, Ji; Zhao, Yuxiang; Watson, Daniel; Chen, C. S.
2020
The radial basis function-differential quadrature method for elliptic problems in annular domains. Zbl 1418.65188
Watson, Daniel W.; Karageorghis, Andreas; Chen, C. S.
2020
An efficient method of approximate particular solutions using polynomial basis functions. Zbl 1464.65228
Deng, Cheng; Zheng, Hui; Fu, Mingfu; Xiong, Jingang; Chen, C. S.
2020
Hybrid Chebyshev polynomial scheme for solving elliptic partial differential equations. Zbl 1431.65231
Ghimire, B. Khatri; Li, Xinxiang; Chen, C. S.; Lamichhane, A. R.
2020
Implicit surface reconstruction with radial basis functions via PDEs. Zbl 1464.65237
Liu, Xiao-Yan; Wang, Hui; Chen, C. S.; Wang, Qing; Zhou, Xiaoshuang; Wang, Yong
2020
Improved RBF collocation methods for fourth order boundary value problems. Zbl 1473.65327
Chen, C. S.; Karageorghis, Andreas; Zheng, Hui
2020
Improved 3D surface reconstruction via the method of fundamental solutions. Zbl 1474.65037
Zheng, Hui; Wang, Feng; Chen, C. S.; Lei, M.; Wang, Yong
2020
A fictitious points one-step MPS-MFS technique. Zbl 07208711
Zhu, Xiaomin; Dou, Fangfang; Karageorghis, Andreas; Chen, C. S.
2020
An efficient MAPS for solving fourth order partial differential equations using trigonometric functions. Zbl 1443.65431
Wang, Dan; Chen, C. S.; Li, Wen
2020
The LMAPS for solving fourth-order PDEs with polynomial basis functions. Zbl 07318113
Chen, C. S.; Shen, Shu-Hui; Dou, Fangfang; Li, J.
2020
Solving fourth-order PDEs using the LMAPS. Zbl 1488.65685
Deng, Cheng; Zheng, Hui; Shi, Yan; Chen, C. S.
2020
Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations. Zbl 1464.65267
Fan, C. M.; Huang, Y. K.; Chen, C. S.; Kuo, S. R.
2019
The method of particular solutions for solving nonlinear Poisson problems. Zbl 1442.35071
Dou, Fangfang; Liu, Yanshan; Chen, C. S.
2019
The MAPS based on trigonometric basis functions for solving elliptic partial differential equations with variable coefficients and Cauchy-Navier equations. Zbl 07316641
Wang, Dan; Chen, C. S.; Fan, C. M.; Li, Ming
2019
Local RBF algorithms for elliptic boundary value problems in annular domains. Zbl 1473.65326
Chen, C. S.; Karageorghis, Andreas
2019
A novel method for solving time-dependent 2D advection-diffusion-reaction equations to model transfer in nonlinear anisotropic media. Zbl 1473.65330
Lin, Ji; Reutskiy, Sergiy; Chen, C. S.; Lu, Jun
2019
Improved Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1403.65159
Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S.
2018
The adaptive algorithm for the selection of sources of the method of fundamental solutions. Zbl 1403.65257
Lin, Ji; Lamichhane, A. R.; Chen, C. S.; Lu, Jun
2018
Solving fourth order differential equations using particular solutions of Helmholtz-type equations. Zbl 1416.65470
Chang, Wanru; Chen, C. S.; Li, Wen
2018
A high accurate simulation of thin plate problems by using the method of approximate particular solutions with high order polynomial basis. Zbl 1403.74328
Xiong, Jingang; Jiang, Pengfei; Zheng, Hui; Chen, C. S.
2018
Kansa RBF method for nonlinear problems. Zbl 1416.65479
Jankowska, M. A.; Karageorghis, A.; Chen, C. S.
2018
Analysis on the method of fundamental solutions for biharmonic equations. Zbl 1429.65293
Dou, Fangfang; Li, Zi-Cai; Chen, C. S.; Tian, Zhaolu
2018
Kansa-RBF algorithms for elliptic problems in regular polygonal domains. Zbl 1405.65157
Karageorghis, Andreas; Jankowska, Malgorzata A.; Chen, C. S.
2018
The method of particular solutions using trigonometric basis functions. Zbl 06860277
Tian, Zhaolu; Li, Xinxiang; Fan, C. M.; Chen, C. S.
2018
Polynomial particular solutions for solving elliptic partial differential equations. Zbl 1368.65255
Dangal, Thir; Chen, C. S.; Lin, Ji
2017
Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems. Zbl 1480.74115
Lin, Ji; Chen, C. S.; Wang, Fajie; Dangal, Thir
2017
A modified method of approximate particular solutions for solving linear and nonlinear PDEs. Zbl 1383.65147
Yao, Guangming; Chen, Ching-Shyang; Zheng, Hui
2017
The MFS versus the Trefftz method for the Laplace equation in 3D. Zbl 1403.65259
Lv, Hui; Hao, Fang; Wang, Yong; Chen, C. S.
2017
Analysis of the method of fundamental solutions for the modified Helmholtz equation. Zbl 1411.78011
Tian, Zhaolu; Li, Zi-Cai; Huang, Hung-Tsai; Chen, C. S.
2017
The MFS and MAFS for solving Laplace and biharmonic equations. Zbl 1403.65260
Pei, Xiangnan; Chen, C. S.; Dou, Fangfang
2017
Conformal mapping for the efficient solution of Poisson problems with the Kansa-RBF method. Zbl 1370.65070
Liu, Xiao-Yan; Chen, C. S.; Karageorghis, Andreas
2017
Particular solutions of Laplace and bi-harmonic operators using Matérn radial basis functions. Zbl 1373.65080
Lamichhane, A. R.; Chen, C. S.
2017
On choosing the location of the sources in the MFS. Zbl 1338.65269
Chen, C. S.; Karageorghis, Andreas; Li, Yan
2016
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
Kansa-RBF algorithms for elliptic problems in axisymmetric domains. Zbl 1432.65174
Karageorghis, Andreas; Chen, C. S.; Liu, Xiao-Yan
2016
Improved finite integration method for partial differential equations. Zbl 1403.65264
Li, M.; Tian, Zhao Lu; Hon, Y. C.; Chen, C. S.; Wen, P. H.
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
Fast method of approximate particular solutions using Chebyshev interpolation. Zbl 1403.65167
Lamichhane, A. R.; Young, D. L.; Chen, C. S.
2016
Localized method of approximate particular solutions for solving unsteady Navier-Stokes problem. Zbl 1452.65292
Zhang, Xueying; Chen, Muyuan; Chen, C. S.; Li, Zhiyong
2016
Fast solution for solving the modified Helmholtz equation withthe method of fundamental solutions. Zbl 1388.65179
Chen, C. S.; Jiang, Xinrong; Chen, Wen; Yao, Guangming
2015
The closed-form particular solutions for Laplace and biharmonic operators using a Gaussian function. Zbl 1329.65298
Lamichhane, A. R.; Chen, C. S.
2015
A Kansa-radial basis function method for elliptic boundary value problems in annular domains. Zbl 1328.65254
Liu, Xiao-Yan; Karageorghis, Andreas; Chen, C. S.
2015
Implicit local radial basis function interpolations based on function values. Zbl 1410.65026
Yao, Guangming; Duo, Jia; Chen, C. S.; Shen, L. H.
2015
Finite integration method for solving multi-dimensional partial differential equations. Zbl 1443.65391
Li, M.; Chen, C. S.; Hon, Y. C.; Wen, P. H.
2015
Compactly supported radial basis functions for solving certain high order partial differential equations in 3D. Zbl 1403.65169
Li, Wen; Li, Ming; Chen, C. S.; Liu, Xiaofeng
2015
The localized method of approximated particular solutions for near-singular two- and three-dimensional problems. Zbl 1443.65432
Yao, Guangming; Chen, C. S.; Li, Wen; Young, D. L.
2015
Chen, Wen; Fu, Zhuo-Jia; Chen, C. S.
2014
Localized method of approximate particular solutions with Cole-Hopf transformation for multi-dimensional Burgers equations. Zbl 1297.65130
Lin, C. Y.; Gu, M. H.; Young, D. L.; Chen, C. S.
2014
Transient 3D heat conduction in functionally graded materials by the method of fundamental solutions. Zbl 1297.80011
Li, Ming; Chen, C. S.; Chu, C. C.; Young, D. L.
2014
On the ill-conditioning of the MFS for irregular boundary data with sufficient regularity. Zbl 1297.65195
Feng, Guorui; Li, Ming; Chen, C. S.
2014
A new scheme for the solution of reaction diffusion and wave propagation problems. Zbl 1429.65294
Lin, Ji; Chen, Wen; Chen, C. S.
2014
Circulant matrix and conformal mapping for solving partial differential equations. Zbl 1369.65167
Liu, Xiao-Yan; Li, Wen; Li, Ming; Chen, C. S.
2014
A Kansa-RBF method for Poisson problems in annular domains. Zbl 1325.65160
Karageorghis, A.; Chen, C. S.
2014
The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions. Zbl 1350.65136
Li, Ming; Chen, C. S.; Karageorghis, A.
2013
The localized RBFs collocation methods for solving high dimensional PDEs. Zbl 1287.65115
Li, Ming; Chen, Wen; Chen, C. S.
2013
The method of fundamental solutions for solving exterior axisymmetric Helmholtz problems with high wave-number. Zbl 1279.35013
Chen, Wen; Lin, Ji; Chen, C. S.
2013
Fast multipole accelerated boundary knot method for inhomogeneous Helmholtz problems. Zbl 1287.65137
Jiang, Xinrong; Chen, Wen; Chen, C. S.
2013
Fast boundary knot method for solving axisymmetric Helmholtz problems with high wave number. Zbl 1357.65284
Lin, J.; Chen, Wen; Chen, C. S.; Jiang, X. R.
2013
A fast method of fundamental solutions for solving Helmholtz-type equations. Zbl 1359.65296
Jiang, Xinrong; Chen, Wen; Chen, C. S.
2013
On the convergence of the MFS-MPS scheme for 1D Poisson’s equation. Zbl 1360.65288
Chen, C. S.; Huang, C.-S.; Lin, K. H.
2013
The method of approximate particular solutions for solving certain partial differential equations. Zbl 1242.65267
Chen, C. S.; Fan, C. M.; Wen, P. H.
2012
The method of approximate particular solutions for solving elliptic problems with variable coefficients. Zbl 1245.65172
Chen, C. S.; Fan, C. M.; Wen, P. H.
2011
A localized approach for the method of approximate particular solutions. Zbl 1221.65316
Yao, Guangming; Kolibal, Joseph; Chen, C. S.
2011
A comparison of three explicit local meshless methods using radial basis functions. Zbl 1259.65155
Yao, Guangming; Šarler, Bozidar; Chen, C. S.
2011
A meshless method for solving nonhomogeneous Cauchy problems. Zbl 1259.65193
Li, Ming; Chen, C. S.; Hon, Y. C.
2011
A boundary meshless method for solving heat transfer problems using the Fourier transform. Zbl 1262.65211
Tadeu, A.; Chen, C. S.; Antonio, J.; Simoes, Nuno
2011
The method of particular solutions for solving scalar wave equations. Zbl 1208.65153
Wen, P. H.; Chen, C. S.
2010
Particular solutions of splines and monomials for polyharmonic and products of Helmholtz operators. Zbl 1244.65209
Tsai, C. C.; Cheng, A. H.-D.; Chen, C. S.
2009
Matrix decomposition RBF algorithm for solving 3D elliptic problems. Zbl 1244.65184
Karageorghis, A.; Chen, C. S.; Smyrlis, Y.-S.
2009
The method of particular solutions for solving axisymmetric polyharmonic and poly-Helmholtz equations. Zbl 1244.65225
Tsai, Chia-Cheng; Chen, C. S.; Hsu, Tai-Wen
2009
A revisit on the derivation of the particular solution for the differential operator $$\Delta^2 \pm \lambda^2$$. Zbl 1262.35086
Yao, Guangming; Chen, C. S.; Tsai, Chia Cheng
2009
The recursive formulation of particular solutions for some elliptic PDEs with polynomial source functions. Zbl 1364.65271
Ding, Jiu; Tian, H. Y.; Chen, C. S.
2009
Simulation of the contractile response of cells on an array of micro-posts. Zbl 1185.74061
Mcgarry, J. P.; Fu, J.; Yang, M. T.; Chen, C. S.; Mcmeeking, R. M.; Evans, A. G.; Deshpande, V. S.
2009
A boundary meshless method using Chebyshev interpolation and trigonometric basis function for solving heat conduction problems. Zbl 1191.80044
Reutskiy, S. Yu.; Chen, C. S.; Tian, H. Y.
2008
A basis function for approximation and the solutions of partial differential equations. Zbl 1153.65116
Tian, H. Y.; Reutskiy, S.; Chen, C. S.
2008
A matrix decomposition RBF algorithm: approximation of functions and their derivatives. Zbl 1107.65305
Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis
2007
Derivation of particular solutions using Chebyshev polynomial based functions. Zbl 1198.65245
Chen, C. S.; Lee, Sungwook; Huang, C.-S.
2007
Rigid body concept for geometric nonlinear analysis of 3D frames, plates and shells based on the updated Lagrangian formulation. Zbl 1173.74450
Yang, Y. B.; Lin, S. P.; Chen, C. S.
2007
DRM-MD approach for modeling laser-material interaction with axial symmetry. Zbl 1195.80029
Gospavić, Radovan; Popov, Viktor; Srecković, Milesa; Chen, C. S.
2007
Some comments on the ill-conditioning of the method of fundamental solutions. Zbl 1187.65136
Chen, C. S.; Cho, Hokwon A.; Golberg, M. A.
2006
Approximation of multivariate functions and evaluation of particular solutions using Chebyshev polynomial and trigonometric basis functions. Zbl 1130.65115
Reutskiy, S. Y.; Chen, C. S.
2006
A radial basis collocation method for Hamilton-Jacobi-Bellman equations. Zbl 1104.49024
Huang, C.-S.; Wang, S.; Chen, C. S.; Li, Z.-C.
2006
A new method of fundamental solutions applied to nonhomogeneous elliptic problems. Zbl 1070.65119
Alves, C. J. S.; Chen, C. S.
2005
A mesh-free approach to solving the axisymmetric Poisson’s equation. Zbl 1072.65154
Chen, C. S.; Muleshkov, A. S.; Golberg, M. A.; Mattheij, R. M. M.
2005
Particular solutions for axisymmetric Helmholtz-type operators. Zbl 1182.76930
Muleshkov, A. S.; Golberg, M. A.; Chen, C. S.
2005
A mesh free approach using radial basis functions and parallel domain decomposition for solving three-dimensional diffusion equations. Zbl 1178.76276
Ingber, M. S.; Chen, C. S.; Tanski, J. A.
2004
Radial basis function collocation method solution of natural convection in porous media. Zbl 1103.76361
Šarler, Božidar; Perko, Janez; Chen, Ching-Shyang
2004
A mesh-free method using hyperinterpolation and fast Fourier transform for solving differential equations. Zbl 1081.65110
Li, Xin; Chen, C. S.
2004
A comparison of efficiency and error convergence of multiquadric collocation method and finite element method. Zbl 1044.76050
Li, Jichun; Cheng, Alexander H.-D.; Chen, Ching-Shyang
2003
Polynomial particular solutions for certain partial differential operators. Zbl 1019.65096
Golberg, M. A.; Muleshkov, A. S.; Chen, C. S.; Cheng, A. H.-D.
2003
Some observations on unsymmetric radial basis function collocation methods for convection-diffusion problems. Zbl 1062.65504
Li, Jichun; Chen, C. S.
2003
Recent developments in the dual reciprocity method using compactly supported radial basis functions. Zbl 1043.65133
Chen, C. S.; Golberg, M. A.; Schaback, Robert A.
2003
Radial basis functions for solving near singular Poisson problems. Zbl 1018.65131
Chen, C. S.; Kuhn, G.; Li, J.; Mishuris, G.
2003
...and 46 more Documents
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### Cited by 1,380 Authors

 75 Chen, Ching-Shyang 57 Chen, Wen 54 Karageorghis, Andreas 37 Lin, Ji 31 Gu, Yan 30 Dehghan Takht Fooladi, Mehdi 30 Hon, Yiu-Chung 29 Šarler, Božidar 27 Fan, Chia-Ming 27 Lesnic, Daniel 27 Ling, Leevan 26 Fu, Zhuojia 24 Power, Henry 22 Wang, Fajie 21 Liu, Chein-Shan 21 Marin, Liviu 19 Wen, Pihua 18 Qu, Wenzhen 18 Zhang, Chuanzeng 17 Alves, Carlos J. S. 17 Johansson, B. Tomas 17 Smyrlis, Yiorgos-Sokratis 16 Tsai, Chia-Cheng 15 Liu, Gui-Rong 14 Li, Jichun 14 Li, Xiaolin 14 Li, Zi-Cai 13 Cheng, Alexander H.-D. 13 Mai-Duy, Nam 13 Yao, Guangming 12 Godinho, Luís M. C. 12 Rad, Jamal Amani 12 Sun, Linlin 11 Florez, Whady Felipe 11 Golberg, Michael A. 11 Kazem, Saeed 11 Reutskiy, Sergiy Yu 11 Tran-Cong, Thanh 11 Wei, Xing 10 Abbasbandy, Saeid 10 Cavoretto, Roberto 10 Huang, Hung-Tsai 10 Martins, Nuno F. M. 10 Qin, Qinghua 10 Schaback, Robert 10 Siraj-ul-Islam 9 Bustamante, Carlos Andres 9 Liu, Xiaoyan 9 Potier-Ferry, Michel 9 Rashed, Youssef F. 9 Shanazari, Kamal 9 Yang, Fenglian 9 Zhang, Liping 9 Zheng, Hui 8 Assari, Pouria 8 De Rossi, Alessandra 8 Dou, Fangfang 8 Gáspár, Csaba 8 Hematiyan, Mohammad Rahim 8 Kansa, Edward J. 8 Lamichhane, A. R. 8 Lu, Jun 8 Shivanian, Elyas 8 Sladek, Jan 8 Sladek, Vladimir 8 Valtchev, Svilen S. 7 Dangal, Thir 7 Divo, Eduardo A. 7 Ghehsareh, Hadi Roohani 7 Grabski, Jakub Krzysztof 7 Kassab, Alain J. 7 Ku, Cheng-Yu 7 Li, Po-Wei 7 Li, Xinxiang 7 Liu, Qingguo 7 Niu, Ruiping 7 Parand, Kourosh 7 Reeve, Thomas 7 Shokri, Ali 7 Wang, Fuzhang 7 Wang, Hui 7 Wei, Ting 7 Yan, Liang 7 Zhu, Huiqing 6 Belinha, Jorge 6 Haq, Sirajul 6 Kolodziej, Jan Adam 6 Lee, Ming-Gong 6 Li, Weiwei 6 Oruç, Ömer 6 Pang, Guofei 6 Ramachandran, Palghat A. 6 Santiago, J. A. F. 6 Yeih, Weichung 6 Zhang, Yunxin 5 Abbaszadeh, Mostafa 5 Adibi, Hojatollah 5 Ballestra, Luca Vincenzo 5 Chen, Chuin-Shan 5 Dereli, Yılmaz ...and 1,280 more Authors
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### Cited in 140 Serials

 492 Engineering Analysis with Boundary Elements 91 Computers & Mathematics with Applications 71 Applied Mathematics and Computation 40 Journal of Computational and Applied Mathematics 36 Applied Mathematical Modelling 32 Journal of Computational Physics 31 Advances in Applied Mathematics and Mechanics 28 Inverse Problems in Science and Engineering 25 International Journal of Computational Methods 22 Computational Mechanics 21 Numerical Methods for Partial Differential Equations 19 Computer Methods in Applied Mechanics and Engineering 19 International Journal for Numerical Methods in Engineering 19 Mathematics and Computers in Simulation 19 Applied Mathematics Letters 18 Applied Numerical Mathematics 18 Numerical Algorithms 17 International Journal of Computer Mathematics 17 Advances in Computational Mathematics 13 International Journal of Numerical Methods for Heat & Fluid Flow 12 Mathematical Problems in Engineering 10 International Journal of Applied and Computational Mathematics 9 Journal of Scientific Computing 9 Communications in Numerical Methods in Engineering 8 Communications in Computational Physics 7 Computational and Applied Mathematics 6 Communications in Nonlinear Science and Numerical Simulation 5 Acta Mechanica 5 Mathematical and Computer Modelling 5 European Journal of Mechanics. A. Solids 4 International Journal of Heat and Mass Transfer 4 International Journal for Numerical Methods in Fluids 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 SIAM Journal on Scientific Computing 4 Journal of Linear and Topological Algebra 4 AIMS Mathematics 3 International Journal of Solids and Structures 3 Journal of Engineering Mathematics 3 Wave Motion 3 Automatica 3 Journal of Global Optimization 3 Nonlinear Dynamics 3 Abstract and Applied Analysis 3 International Journal for Numerical Methods in Biomedical Engineering 3 Journal of Mathematics 3 Journal of Mathematical Modeling 3 Nonlinear Analysis. Theory, Methods & Applications 3 Computational Methods for Differential Equations 2 Applicable Analysis 2 Computer Physics Communications 2 Mathematics of Computation 2 Journal of Differential Equations 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Applied Mathematics and Mechanics. (English Edition) 2 Japan Journal of Industrial and Applied Mathematics 2 Mathematics and Mechanics of Solids 2 European Journal of Mechanics. B. Fluids 2 Computational Geosciences 2 Engineering Computations 2 International Journal of Modern Physics C 2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 2 Journal of Applied Mathematics 2 Journal of Applied Mathematics and Computing 2 Thai Journal of Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 2 S$$\vec{\text{e}}$$MA Journal 2 Mathematics 1 Computers and Fluids 1 Inverse Problems 1 Mathematical Methods in the Applied Sciences 1 Mathematische Semesterberichte 1 Chaos, Solitons and Fractals 1 BIT 1 Computing 1 Fuzzy Sets and Systems 1 Journal of Approximation Theory 1 Kyungpook Mathematical Journal 1 Mechanics Research Communications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal of Economic Dynamics & Control 1 Journal of Integral Equations and Applications 1 Computational Mathematics and Mathematical Physics 1 Automation and Remote Control 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Chinese Science Bulletin 1 Archive of Applied Mechanics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Advances in Engineering Software 1 Cybernetics and Systems Analysis 1 Applied Mathematics. Series B (English Edition) 1 Fractals 1 Filomat 1 Journal of Inverse and Ill-Posed Problems 1 Discrete and Continuous Dynamical Systems 1 Journal of Vibration and Control 1 International Journal of Computational Fluid Dynamics 1 Differential Equations and Dynamical Systems 1 Journal of Applied Mechanics and Technical Physics ...and 40 more Serials
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### Cited in 39 Fields

 1,065 Numerical analysis (65-XX) 438 Partial differential equations (35-XX) 242 Mechanics of deformable solids (74-XX) 186 Fluid mechanics (76-XX) 103 Classical thermodynamics, heat transfer (80-XX) 38 Approximations and expansions (41-XX) 34 Integral equations (45-XX) 30 Optics, electromagnetic theory (78-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Probability theory and stochastic processes (60-XX) 18 Ordinary differential equations (34-XX) 18 Geophysics (86-XX) 18 Biology and other natural sciences (92-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Potential theory (31-XX) 11 Real functions (26-XX) 10 Statistical mechanics, structure of matter (82-XX) 10 Systems theory; control (93-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Quantum theory (81-XX) 5 Operations research, mathematical programming (90-XX) 4 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral transforms, operational calculus (44-XX) 4 Operator theory (47-XX) 4 Computer science (68-XX) 3 Functional analysis (46-XX) 2 Number theory (11-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Differential geometry (53-XX) 1 Mathematics education (97-XX)