Edit Profile (opens in new tab) Chien, Cheng-Sheng Co-Author Distance Author ID: chien.cheng-sheng Published as: Chien, C.-S.; Chien, C. S.; Chien, Cheng-Sheng more...less Documents Indexed: 64 Publications since 1986 Co-Authors: 16 Co-Authors with 56 Joint Publications 273 Co-Co-Authors all top 5 Co-Authors 3 single-authored 20 Jeng, B.-W. 19 Chang, Shing-Lin 9 Li, Zi-Cai 7 Chen, Huei-Shuang 6 Allgower, Eugene L. 6 Mei, Zhen 5 Huang, Hung-Tsai 3 Shih, Yu-Ti 3 Sriburadet, Sirilak 2 Georg, Kurt 2 Shih, Yintzer 2 Weng, Z.-L. 1 Chern, I-Liang 1 Chou, Hsiang Shun 1 Liao, Yunn-Shiuan 1 Lin, Wen-Wei all top 5 Serials 12 Journal of Computational and Applied Mathematics 7 Computers & Mathematics with Applications 7 Computer Physics Communications 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Journal of Computational Physics 4 SIAM Journal on Scientific Computing 3 Applied Mathematics and Computation 3 International Journal of Computer Mathematics 3 Numerical Linear Algebra with Applications 2 Numerical Algorithms 2 Communications in Computational Physics 1 Computer Methods in Applied Mechanics and Engineering 1 Matimyás Matematika 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chinese Journal of Mathematics 1 Soochow Journal of Mathematics 1 SIAM Journal on Scientific and Statistical Computing 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Multiscale Modeling & Simulation all top 5 Fields 58 Numerical analysis (65-XX) 38 Partial differential equations (35-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Mechanics of deformable solids (74-XX) 7 Quantum theory (81-XX) 5 Operator theory (47-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 53 Publications have been cited 401 times in 215 Documents Cited by ▼ Year ▼ Effective condition number for finite difference method. Zbl 1104.65043 Li, Zi-Cai; Chien, Cheng-Sheng; Huang, Hung-Tsai 38 2007 A two-grid discretization scheme for semilinear elliptic eigenvalue problems. Zbl 1095.65100 Chien, C.-S.; Jeng, B.-W. 32 2006 Continuation and local perturbation for multiple bifurcations. Zbl 0617.65056 Allgower, E. L.; Chien, C.-S. 20 1986 Computing wave functions of nonlinear Schrödinger equations: a time-independent approach. Zbl 1129.65077 Chang, S.-L.; Chien, C.-S.; Jeng, B.-W. 19 2007 Two-grid discretization schemes for nonlinear Schrödinger equations. Zbl 1135.65361 Chien, C.-S.; Huang, H.-T.; Jeng, B.-W.; Li, Z.-C. 18 2008 Adaptive continuation algorithms for computing energy levels of rotating Bose-Einstein condensates. Zbl 1196.82107 Chang, S.-L.; Chien, C.-S. 18 2007 Spectral collocation methods using sine functions for a rotating Bose-Einstein condensation in optical lattices. Zbl 1246.82030 Chen, Huei-Shuang; Chang, Shing-Lin; Chien, Cheng-Sheng 17 2012 Liapunov-Schmidt reduction and continuation for nonlinear Schrödinger equations. Zbl 1132.35475 Chang, S.-L.; Chien, C.-S.; Jeng, B.-W. 15 2007 A two-parameter continuation method for rotating two-component Bose-Einstein condensates in optical lattices. Zbl 1373.82083 Wang, Y.-S.; Jeng, B.-W.; Chien, C.-S. 15 2013 Large sparse continuation problems. Zbl 0688.65035 Allgower, Eugene L.; Chien, C.-S.; Georg, Kurt 14 1989 Mode jumping in the von Kármán equations. Zbl 0985.74021 Chien, C.-S.; Gong, S.-Y.; Mei, Z. 13 2000 Conjugate gradient methods for continuation problems. Zbl 0753.65046 Allgower, Eugene L.; Chien, C.-S.; Georg, Kurt; Wang, C.-F. 13 1991 Multilevel spectral-Galerkin and continuation methods for nonlinear Schrödinger equations. Zbl 1191.65132 Chen, H.-S.; Chien, C.-S. 9 2010 Numerical continuation at double bifurcation points of a reaction-diffusion problem. Zbl 0917.35051 Chien, C. S.; Mei, Z.; Shen, C.-L. 9 1998 A two-parameter continuation algorithm for vortex pinning in rotating Bose-Einstein condensates. Zbl 1302.65232 Jeng, B.-W.; Wang, Y.-S.; Chien, C.-S. 9 2013 Secondary bifurcations in the buckling problem. Zbl 0682.73035 Chien, C.-S. 8 1989 A spectral-Galerkin continuation method using Chebyshev polynomials for the numerical solutions of the Gross-Pitaevskii equation. Zbl 1220.65161 Wang, Y.-S.; Chien, C.-S. 8 2011 Multiple bifurcation in the von Kármán equations. Zbl 1031.74508 Chien, C.-S.; Chen, M.-S. 8 1997 Tracing the buckling of a rectangular plate with the block GMRES method. Zbl 1001.74120 Chien, C.-S.; Chang, S.-L.; Mei, Z. 8 2001 Lanczos-type methods for continuation problems. Zbl 0889.65060 Chien, C.-S.; Weng, Z.-L.; Shen, C.-L. 8 1997 Computing multiple peak solutions for Bose-Einstein condensates in optical lattices. Zbl 1198.81081 Chang, S.-L.; Chien, C.-S. 8 2009 Two-stage continuation algorithms for Bloch waves of Bose-Einstein condensates in optical lattices. Zbl 1219.82021 Chien, C.-S.; Chang, S.-L.; Wu, Biao 7 2010 A multigrid-Lanczos algorithm for the numerical solutions of nonlinear eigenvalue problems. Zbl 1062.65117 Chang, S.-L.; Chien, C.-S. 7 2003 Multiple bifurcations in a reaction-diffusion problem. Zbl 1001.65095 Chien, C. S.; Chen, M.-H. 7 1998 A two-parameter continuation method for computing numerical solutions of spin-1 Bose-Einstein condensates. Zbl 1349.82129 Wang, Y.-S.; Chien, C.-S. 5 2014 Superconvergence of high-order FEMs for eigenvalue problems with periodic boundary conditions. Zbl 1229.81010 Huang, H.-T.; Chang, S.-L.; Chien, C.-S.; Li, Z.-C. 4 2009 Application of the Lanczos algorithm for solving the linear systems that occur in continuation problems. Zbl 1071.65038 Chien, C.-S.; Chang, S.-L. 4 2003 Tracing the solution surface with folds of a two-parameter system. Zbl 1092.65503 Chang, S.-L.; Chien, C.-S.; Jeng, B.-W. 4 2005 A cubic Hermite finite element-continuation method for numerical solutions of the von Kármán equations. Zbl 1158.74044 Chien, C.-S.; Shih, Y.-T. 4 2009 Continuation-minimization methods for stability problems. Zbl 0796.65112 Allgower, E. L.; Chien, C.-S. 4 1993 Spectral collocation and a two-level continuation scheme for dipolar Bose-Einstein condensates. Zbl 1349.81087 Jeng, B.-W.; Chien, C.-S.; Chern, I.-L. 4 2014 A spectral collocation method for a rotating Bose-Einstein condensation in optical lattices. Zbl 1259.82012 Li, Z.-C.; Chen, S.-Y.; Chien, C.-S.; Chen, H.-S. 4 2011 An efficient algorithm for the Schrödinger-Poisson eigenvalue problem. Zbl 1122.65105 Chang, S.-L.; Chien, C.-S.; Jeng, B.-W. 3 2007 Continuation and stability analysis for Bloch waves of the Gross-Pitaevskii equation. Zbl 1404.65191 Chen, H.-S.; Chang, S.-L.; Jeng, B.-W.; Chien, C.-S. 3 2018 Pseudo-arclength continuation algorithms for binary Rydberg-dressed Bose-Einstein condensates. Zbl 1388.65039 Sriburadet, Sirilak; Wang, Y.-S.; Chien, C.-S.; Shih, Y. 3 2016 Multiple bifurcations on 3D eigenvalue problems. Zbl 0658.65054 Chien, Cheng-Sheng 2 1987 Bifurcations of the von Kármán equations with Robin boundary conditions. Zbl 0942.74023 Chien, C. S.; Kuo, Y. J.; Mei, Z. 2 1999 Conjugate gradient methods for continuation problems. II. Zbl 0857.65060 Chien, C.-S.; Lu, N.-H.; Weng, Z.-L. 2 1995 Symmetry and scaling properties of the von Kármán equations. Zbl 0929.35007 Chien, C. S.; Kuo, Y. J.; Mei, Z. 2 1998 Domain decomposition algorithms for fourth-order nonlinear elliptic eigenvalue problems. Zbl 1033.65099 Chang, S.-L.; Chien, C.-S. 2 2003 Symmetry reductions and a posteriori finite element error estimators for bifurcation problems. Zbl 1092.37528 Chien, C.-S.; Jeng, B.-W. 2 2005 Multigrid-conjugate gradient type methods for reaction-diffusion systems. Zbl 1064.65040 Chang, S.-L.; Chen, H.-S.; Chien, C.-S. 2 2004 Bifurcations of corank greater than two. Zbl 0796.65111 Allgower, E. L.; Chien, C.-S.; Lee, W.-C. 2 1993 A spectral-Galerkin continuation method for numerical solutions of the Gross-Pitaevskii equation. Zbl 1290.65093 Chang, S.-L.; Chen, H.-S.; Jeng, B.-W.; Chien, C.-S. 2 2013 Superconvergence of FEMs and numerical continuation for parameter-dependent problems with folds. Zbl 1147.65324 Chien, C.-S.; Huang, H.-T.; Jeng, B.-W.; Li, Z.-C. 2 2008 Multi-parameter continuation and collocation methods for rotating multi-component Bose-Einstein condensates. Zbl 1317.65241 Chen, S.-Y.; Wang, Y.-S.; Jeng, B.-W.; Chien, C.-S. 2 2015 A time-independent approach for computing wave functions of the Schrödinger-Poisson system. Zbl 1212.65433 Chien, C.-S.; Jeng, B.-W.; Li, Z.-C. 2 2008 A finite difference continuation method for computing energy levels of Bose-Einstein condensates. Zbl 1197.65119 Chang, S.-L.; Chien, C.-S.; Li, Z.-C. 2 2008 Numerical continuation for nonlinear Schrödinger equations. Zbl 1153.65352 Chang, S.-L.; Chien, C.-S. 1 2007 An adaptive parameterized block-based singular value decomposition for image de-noising and compression. Zbl 1250.65041 Shih, Y.-T.; Chien, C.-S.; Chuang, C.-Y. 1 2012 Multiple bifurcations generated by mode interactions in a reaction-diffusion problem. Zbl 1010.65034 Chien, C.-S.; Liao, Y. S. 1 2001 A parallel continuation algorithm for nonlinear eigenvalue problems. Zbl 0792.65033 Chen, M.-J.; Chen, T.-Z.; Chien, C.-S.; Yu, M.-S. 1 1994 A note on stochastic polynomial chaos expansions for uncertain volatility and Asian option pricing. Zbl 1488.91160 Lin, Y.-T.; Shih, Y.-T.; Chien, C.-S.; Sheng, Q. 1 2021 A note on stochastic polynomial chaos expansions for uncertain volatility and Asian option pricing. Zbl 1488.91160 Lin, Y.-T.; Shih, Y.-T.; Chien, C.-S.; Sheng, Q. 1 2021 Continuation and stability analysis for Bloch waves of the Gross-Pitaevskii equation. Zbl 1404.65191 Chen, H.-S.; Chang, S.-L.; Jeng, B.-W.; Chien, C.-S. 3 2018 Pseudo-arclength continuation algorithms for binary Rydberg-dressed Bose-Einstein condensates. Zbl 1388.65039 Sriburadet, Sirilak; Wang, Y.-S.; Chien, C.-S.; Shih, Y. 3 2016 Multi-parameter continuation and collocation methods for rotating multi-component Bose-Einstein condensates. Zbl 1317.65241 Chen, S.-Y.; Wang, Y.-S.; Jeng, B.-W.; Chien, C.-S. 2 2015 A two-parameter continuation method for computing numerical solutions of spin-1 Bose-Einstein condensates. Zbl 1349.82129 Wang, Y.-S.; Chien, C.-S. 5 2014 Spectral collocation and a two-level continuation scheme for dipolar Bose-Einstein condensates. Zbl 1349.81087 Jeng, B.-W.; Chien, C.-S.; Chern, I.-L. 4 2014 A two-parameter continuation method for rotating two-component Bose-Einstein condensates in optical lattices. Zbl 1373.82083 Wang, Y.-S.; Jeng, B.-W.; Chien, C.-S. 15 2013 A two-parameter continuation algorithm for vortex pinning in rotating Bose-Einstein condensates. Zbl 1302.65232 Jeng, B.-W.; Wang, Y.-S.; Chien, C.-S. 9 2013 A spectral-Galerkin continuation method for numerical solutions of the Gross-Pitaevskii equation. Zbl 1290.65093 Chang, S.-L.; Chen, H.-S.; Jeng, B.-W.; Chien, C.-S. 2 2013 Spectral collocation methods using sine functions for a rotating Bose-Einstein condensation in optical lattices. Zbl 1246.82030 Chen, Huei-Shuang; Chang, Shing-Lin; Chien, Cheng-Sheng 17 2012 An adaptive parameterized block-based singular value decomposition for image de-noising and compression. Zbl 1250.65041 Shih, Y.-T.; Chien, C.-S.; Chuang, C.-Y. 1 2012 A spectral-Galerkin continuation method using Chebyshev polynomials for the numerical solutions of the Gross-Pitaevskii equation. Zbl 1220.65161 Wang, Y.-S.; Chien, C.-S. 8 2011 A spectral collocation method for a rotating Bose-Einstein condensation in optical lattices. Zbl 1259.82012 Li, Z.-C.; Chen, S.-Y.; Chien, C.-S.; Chen, H.-S. 4 2011 Multilevel spectral-Galerkin and continuation methods for nonlinear Schrödinger equations. Zbl 1191.65132 Chen, H.-S.; Chien, C.-S. 9 2010 Two-stage continuation algorithms for Bloch waves of Bose-Einstein condensates in optical lattices. Zbl 1219.82021 Chien, C.-S.; Chang, S.-L.; Wu, Biao 7 2010 Computing multiple peak solutions for Bose-Einstein condensates in optical lattices. Zbl 1198.81081 Chang, S.-L.; Chien, C.-S. 8 2009 Superconvergence of high-order FEMs for eigenvalue problems with periodic boundary conditions. Zbl 1229.81010 Huang, H.-T.; Chang, S.-L.; Chien, C.-S.; Li, Z.-C. 4 2009 A cubic Hermite finite element-continuation method for numerical solutions of the von Kármán equations. Zbl 1158.74044 Chien, C.-S.; Shih, Y.-T. 4 2009 Two-grid discretization schemes for nonlinear Schrödinger equations. Zbl 1135.65361 Chien, C.-S.; Huang, H.-T.; Jeng, B.-W.; Li, Z.-C. 18 2008 Superconvergence of FEMs and numerical continuation for parameter-dependent problems with folds. Zbl 1147.65324 Chien, C.-S.; Huang, H.-T.; Jeng, B.-W.; Li, Z.-C. 2 2008 A time-independent approach for computing wave functions of the Schrödinger-Poisson system. Zbl 1212.65433 Chien, C.-S.; Jeng, B.-W.; Li, Z.-C. 2 2008 A finite difference continuation method for computing energy levels of Bose-Einstein condensates. Zbl 1197.65119 Chang, S.-L.; Chien, C.-S.; Li, Z.-C. 2 2008 Effective condition number for finite difference method. Zbl 1104.65043 Li, Zi-Cai; Chien, Cheng-Sheng; Huang, Hung-Tsai 38 2007 Computing wave functions of nonlinear Schrödinger equations: a time-independent approach. Zbl 1129.65077 Chang, S.-L.; Chien, C.-S.; Jeng, B.-W. 19 2007 Adaptive continuation algorithms for computing energy levels of rotating Bose-Einstein condensates. Zbl 1196.82107 Chang, S.-L.; Chien, C.-S. 18 2007 Liapunov-Schmidt reduction and continuation for nonlinear Schrödinger equations. Zbl 1132.35475 Chang, S.-L.; Chien, C.-S.; Jeng, B.-W. 15 2007 An efficient algorithm for the Schrödinger-Poisson eigenvalue problem. Zbl 1122.65105 Chang, S.-L.; Chien, C.-S.; Jeng, B.-W. 3 2007 Numerical continuation for nonlinear Schrödinger equations. Zbl 1153.65352 Chang, S.-L.; Chien, C.-S. 1 2007 A two-grid discretization scheme for semilinear elliptic eigenvalue problems. Zbl 1095.65100 Chien, C.-S.; Jeng, B.-W. 32 2006 Tracing the solution surface with folds of a two-parameter system. Zbl 1092.65503 Chang, S.-L.; Chien, C.-S.; Jeng, B.-W. 4 2005 Symmetry reductions and a posteriori finite element error estimators for bifurcation problems. Zbl 1092.37528 Chien, C.-S.; Jeng, B.-W. 2 2005 Multigrid-conjugate gradient type methods for reaction-diffusion systems. Zbl 1064.65040 Chang, S.-L.; Chen, H.-S.; Chien, C.-S. 2 2004 A multigrid-Lanczos algorithm for the numerical solutions of nonlinear eigenvalue problems. Zbl 1062.65117 Chang, S.-L.; Chien, C.-S. 7 2003 Application of the Lanczos algorithm for solving the linear systems that occur in continuation problems. Zbl 1071.65038 Chien, C.-S.; Chang, S.-L. 4 2003 Domain decomposition algorithms for fourth-order nonlinear elliptic eigenvalue problems. Zbl 1033.65099 Chang, S.-L.; Chien, C.-S. 2 2003 Tracing the buckling of a rectangular plate with the block GMRES method. Zbl 1001.74120 Chien, C.-S.; Chang, S.-L.; Mei, Z. 8 2001 Multiple bifurcations generated by mode interactions in a reaction-diffusion problem. Zbl 1010.65034 Chien, C.-S.; Liao, Y. S. 1 2001 Mode jumping in the von Kármán equations. Zbl 0985.74021 Chien, C.-S.; Gong, S.-Y.; Mei, Z. 13 2000 Bifurcations of the von Kármán equations with Robin boundary conditions. Zbl 0942.74023 Chien, C. S.; Kuo, Y. J.; Mei, Z. 2 1999 Numerical continuation at double bifurcation points of a reaction-diffusion problem. Zbl 0917.35051 Chien, C. S.; Mei, Z.; Shen, C.-L. 9 1998 Multiple bifurcations in a reaction-diffusion problem. Zbl 1001.65095 Chien, C. S.; Chen, M.-H. 7 1998 Symmetry and scaling properties of the von Kármán equations. Zbl 0929.35007 Chien, C. S.; Kuo, Y. J.; Mei, Z. 2 1998 Multiple bifurcation in the von Kármán equations. Zbl 1031.74508 Chien, C.-S.; Chen, M.-S. 8 1997 Lanczos-type methods for continuation problems. Zbl 0889.65060 Chien, C.-S.; Weng, Z.-L.; Shen, C.-L. 8 1997 Conjugate gradient methods for continuation problems. II. Zbl 0857.65060 Chien, C.-S.; Lu, N.-H.; Weng, Z.-L. 2 1995 A parallel continuation algorithm for nonlinear eigenvalue problems. Zbl 0792.65033 Chen, M.-J.; Chen, T.-Z.; Chien, C.-S.; Yu, M.-S. 1 1994 Continuation-minimization methods for stability problems. Zbl 0796.65112 Allgower, E. L.; Chien, C.-S. 4 1993 Bifurcations of corank greater than two. Zbl 0796.65111 Allgower, E. L.; Chien, C.-S.; Lee, W.-C. 2 1993 Conjugate gradient methods for continuation problems. Zbl 0753.65046 Allgower, Eugene L.; Chien, C.-S.; Georg, Kurt; Wang, C.-F. 13 1991 Large sparse continuation problems. Zbl 0688.65035 Allgower, Eugene L.; Chien, C.-S.; Georg, Kurt 14 1989 Secondary bifurcations in the buckling problem. Zbl 0682.73035 Chien, C.-S. 8 1989 Multiple bifurcations on 3D eigenvalue problems. Zbl 0658.65054 Chien, Cheng-Sheng 2 1987 Continuation and local perturbation for multiple bifurcations. Zbl 0617.65056 Allgower, E. L.; Chien, C.-S. 20 1986 all cited Publications top 5 cited Publications all top 5 Cited by 299 Authors 40 Chien, Cheng-Sheng 31 Li, Zi-Cai 19 Huang, Hung-Tsai 15 Jeng, B.-W. 14 Chang, Shing-Lin 11 Lee, Ming-Gong 7 Chen, Yanping 7 Wei, Yimin 6 Chen, Huei-Shuang 6 Mei, Zhen 6 Tian, Zhikun 6 Wang, Jianyun 5 Li, Zhaoxiang 5 Lin, Wen-Wei 5 Lu, Tzontzer 5 Muradova, Aliki D. 5 Syam, Muhammed I. 5 Wang, Weichung 5 Yang, Yidu 5 Young, Lih-Jier 5 Zhou, Jianxin 4 Allgower, Eugene L. 4 Bi, Hai 4 Chiang, John Y. 4 Kuo, Yueh-Cheng 4 Liu, Wei 4 Weng, Zhifeng 3 Antoine, Xavier 3 Bao, Weizhu 3 Chern, I-Liang 3 Chu, Po-Chun 3 Feng, Xinlong 3 Hu, Hanzhang 3 Huang, Jin 3 Liu, Huipo 3 Shieh, Shih-Feng 3 Sriburadet, Sirilak 3 Stavroulakis, Georgios E. 3 Tang, Qinglin 3 Xie, Ziqing 3 Zhang, Yu 2 Adhikari, Sadhan K. 2 Ahn, Soyoung 2 Baccouch, Mahboub 2 Barrio, Roberto 2 Ben-Romdhane, Mohamed 2 Cai, Yongyong 2 Calvetti, Daniela 2 Chen, Jen-Hao 2 Chen, Jeng-Tzong 2 Chen, Luoping 2 Cheng, Alexander H.-D. 2 Cui, Jin 2 Du, Peibing 2 Friedman, Mark J. 2 Georg, Kurt 2 He, Siriguleng 2 Heid, Pascal 2 Huang, Yunqing 2 Janczewska, Joanna 2 Jiang, Hao 2 Kim, Philsu 2 Lao, Ji 2 Li, Hong 2 Ling, Leevan 2 Liu, Yang 2 Liu, Yaping 2 Muruganandam, Paulsamy 2 Reichel, Lothar 2 Shi, Dongyang 2 Shih, Yintzer 2 Temimi, Helmi 2 Wang, Shuanghu 2 Wang, Yushun 2 Wang, Zhong-Qing 2 Xie, Hehu 2 Xu, Fei 2 Yan, Ningning 2 Yuan, Yongjun 2 Zhai, Shuying 2 Zhang, Liping 1 Al-Mdallal, Qasem M. 1 An, Rong 1 Attili, Basem S. 1 Audoly, Basile 1 Baglama, James 1 Balaž, Antun 1 Bevilacqua, Luiz 1 Bhowmik, Samir Kumar 1 Bindel, David S. 1 Böhmer, Klaus 1 Boroomand, Bijan 1 Boudouvis, Andreas G. 1 Cai, Wenjun 1 Cai, Yaoxiong 1 Cao, Liang 1 Chang, Chia-Ming 1 Char, Ming-I 1 Chen, Ching-Yu 1 Chen, Fangqi ...and 199 more Authors all top 5 Cited in 59 Serials 26 Journal of Computational and Applied Mathematics 18 Journal of Computational Physics 17 Computers & Mathematics with Applications 16 Engineering Analysis with Boundary Elements 11 Computer Physics Communications 11 Applied Mathematics and Computation 10 Journal of Scientific Computing 9 Computer Methods in Applied Mechanics and Engineering 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Computing 7 Applied Numerical Mathematics 6 International Journal of Computer Mathematics 3 Numerical Methods for Partial Differential Equations 3 Applied Mathematical Modelling 3 Numerical Linear Algebra with Applications 3 Mathematical Problems in Engineering 3 Advances in Applied Mathematics and Mechanics 2 Mathematical Methods in the Applied Sciences 2 Mathematics of Computation 2 Chaos, Solitons and Fractals 2 International Journal for Numerical Methods in Engineering 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Scientific Computing 2 Advances in Computational Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 2 Boundary Value Problems 2 Communications in Computational Physics 2 Results in Applied Mathematics 1 International Journal of Solids and Structures 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of the Mechanics and Physics of Solids 1 Bulletin of Mathematical Biology 1 BIT 1 Manuscripta Mathematica 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Numerical Analysis 1 Mathematica Numerica Sinica 1 Journal of Computational Mathematics 1 Physica D 1 SIAM Journal on Matrix Analysis and Applications 1 Applications of Mathematics 1 Numerical Algorithms 1 Linear Algebra and its Applications 1 Abstract and Applied Analysis 1 European Journal of Mechanics. A. Solids 1 Journal of Modern Optics 1 Nonlinear Analysis. Real World Applications 1 Mathematical Modelling and Analysis 1 Computational Methods in Applied Mathematics 1 Advanced Nonlinear Studies 1 Journal of Applied Mathematics and Computing 1 Central European Journal of Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Mathematical Biosciences and Engineering 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 International Journal of Structural Stability and Dynamics 1 Open Mathematics all top 5 Cited in 24 Fields 172 Numerical analysis (65-XX) 113 Partial differential equations (35-XX) 38 Mechanics of deformable solids (74-XX) 26 Statistical mechanics, structure of matter (82-XX) 16 Quantum theory (81-XX) 12 Fluid mechanics (76-XX) 9 Ordinary differential equations (34-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Operator theory (47-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Optics, electromagnetic theory (78-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 2 Probability theory and stochastic processes (60-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year