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Cheng, Yingda

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 Author ID: cheng.yingda Published as: Cheng, Yingda; Cheng, Y. External Links: MGP · ORCID
 Documents Indexed: 45 Publications since 2005
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Co-Authors

 0 single-authored 11 Li, Fengyan 11 Shu, Chi-Wang 8 Martínez Gamba, Irene 5 Guo, Wei 4 Bokil, Vrushali A. 4 Christlieb, Andrew J. 3 Bokanowski, Olivier 3 Chen, Anqi 3 Jiang, Yan 3 Liu, Yuan 3 Majorana, Armando 3 Peng, Zhichao 3 Zhong, Xinghui 2 Huang, Juntao 2 Morrison, Philip J. 2 Qiu, Jingmei 2 Sakkaplangkul, Puttha 2 Tao, Zhanjing 2 Wang, Zixuan 2 Zhang, Mengping 1 Alonso, Ricardo J. 1 Bagland, Véronique 1 Chelikowsky, James R. 1 Chen, Shanqin 1 Chen, Yanping 1 Chen, Zheng 1 Chou, Ching-Shan 1 Fu, Pei 1 Gillman, Adrianna 1 Haile, S. R. 1 Liu, Ruihua 1 Lods, Bertrand 1 Morales Escalante, José A. 1 Ong, Benjamin W. 1 Proft, Jennifer 1 Ren, Kui 1 Xing, Yulong 1 Xu, Yan 1 Yin, Gang George 1 Zhang, Qing 1 Zhang, Yongtao
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Serials

 13 Journal of Computational Physics 8 Journal of Scientific Computing 5 SIAM Journal on Scientific Computing 4 Mathematics of Computation 3 SIAM Journal on Numerical Analysis 2 Computer Methods in Applied Mechanics and Engineering 1 Biometrika 1 Numerische Mathematik 1 Studies in Applied Mathematics 1 Computational Mechanics 1 SIAM Journal on Mathematical Analysis 1 Mathematical Finance 1 Journal of Applied Statistics 1 Communications in Nonlinear Science and Numerical Simulation 1 S$$\vec{\text{e}}$$MA Journal
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Fields

 33 Numerical analysis (65-XX) 24 Partial differential equations (35-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Optics, electromagnetic theory (78-XX) 6 Fluid mechanics (76-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations contained in zbMATH Open

35 Publications have been cited 495 times in 302 Documents Cited by Year
Superconvergence of discontinuous Galerkin and local discontinuous Galerkin schemes for linear hyperbolic and convection-diffusion equations in one space dimension. Zbl 1208.65137
Cheng, Yingda; Shu, Chi-Wang
2010
A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives. Zbl 1141.65075
Cheng, Yingda; Shu, Chi-Wang
2008
Rational and semirational solutions of the nonlocal Davey-Stewartson equations. Zbl 1382.35250
Rao, J.; Cheng, Y.; He, J.
2017
A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. Zbl 1124.65090
Cheng, Yingda; Shu, Chi-Wang
2007
Superconvergence and time evolution of discontinuous Galerkin finite element solutions. Zbl 1153.65088
Cheng, Yingda; Shu, Chi-Wang
2008
Discontinuous Galerkin methods for the Vlasov-Maxwell equations. Zbl 1307.76051
Cheng, Yingda; Gamba, Irene M.; Li, Fengyan; Morrison, Philip J.
2014
A discontinuous Galerkin solver for Boltzmann-Poisson systems in nano-devices. Zbl 1229.82005
Cheng, Yingda; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang
2009
Study of conservation and recurrence of Runge-Kutta discontinuous Galerkin schemes for Vlasov-Poisson systems. Zbl 1281.82028
Cheng, Yingda; Gamba, Irene M.; Morrison, Philip J.
2013
Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system. Zbl 1349.78030
Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui
2014
Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations. Zbl 1233.82036
Cheng, Yingda; Gamba, Irene M.; Proft, Jennifer
2012
Numerical manifold method based on the method of weighted residuals. Zbl 1109.74373
Li, S.; Cheng, Y.; Wu, Y.-F.
2005
$$L^2$$ stable discontinuous Galerkin methods for one-dimensional two-way wave equations. Zbl 1352.65338
Cheng, Yingda; Chou, Ching-Shan; Li, Fengyan; Xing, Yulong
2017
Stock liquidation via stochastic approximation using Nasdaq daily and intra-day data. Zbl 1128.91031
Yin, G.; Zhang, Q.; Liu, F.; Liu, R. H.; Cheng, Y.
2006
Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system. Zbl 1351.76053
Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui
2014
Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations. Zbl 1349.65636
Wang, Zixuan; Tang, Qi; Guo, Wei; Cheng, Yingda
2016
Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model. Zbl 1220.82099
Cheng, Yingda; Gamba, Irene M.; Ren, Kui
2011
A new discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. Zbl 1349.65445
Cheng, Yingda; Wang, Zixuan
2014
Numerical study of one-dimensional Vlasov-Poisson equations for infinite homogeneous stellar systems. Zbl 1243.85008
Cheng, Yingda; Gamba, Irene M.
2012
A brief survey of the discontinuous Galerkin method for the Boltzmann-Poisson equations. Zbl 1242.65202
Cheng, Yingda; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang
2011
Energy stable discontinuous Galerkin methods for Maxwell’s equations in nonlinear optical media. Zbl 1380.78011
Bokil, Vrushali A.; Cheng, Yingda; Jiang, Yan; Li, Fengyan
2017
A discontinuous Galerkin scheme for front propagation with obstacles. Zbl 1291.65182
Bokanowski, Olivier; Cheng, Yingda; Shu, Chi-Wang
2014
One-dimensional dissipative Boltzmann equation: measure solutions, cooling rate, and self-similar profile. Zbl 1383.82024
Alonso, Ricardo; Bagland, Véronique; Cheng, Yingda; Lods, Bertrand
2018
A discontinuous Galerkin solver for front propagation. Zbl 1368.65187
Bokanowski, Olivier; Cheng, Yingda; Shu, Chi-Wang
2011
Discontinuous Galerkin methods with optimal $$L^2$$ accuracy for one dimensional linear PDEs with high order spatial derivatives. Zbl 1457.65049
Fu, Pei; Cheng, Yingda; Li, Fengyan; Xu, Yan
2019
A sparse grid discontinuous Galerkin method for high-dimensional transport equations and its application to kinetic simulations. Zbl 1353.82064
Guo, Wei; Cheng, Yingda
2016
Convergence of discontinuous Galerkin schemes for front propagation with obstacles. Zbl 1353.65104
Bokanowski, Olivier; Cheng, Yingda; Shu, Chi-Wang
2016
Numerical study of the two-species Vlasov-Ampère system: energy-conserving schemes and the current-driven ion-acoustic instability. Zbl 1351.78037
Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui
2015
An adaptive multiresolution discontinuous Galerkin method for time-dependent transport equations in multidimensions. Zbl 1379.65077
Guo, Wei; Cheng, Yingda
2017
A simple bound-preserving sweeping technique for conservative numerical approximations. Zbl 1381.65087
Liu, Yuan; Cheng, Yingda; Shu, Chi-Wang
2017
An asymptotic preserving Maxwell solver resulting in the Darwin limit of electrodynamics. Zbl 1372.78023
Cheng, Yingda; Christlieb, Andrew J.; Guo, Wei; Ong, Benjamin
2017
Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling. Zbl 1440.65147
Peng, Zhichao; Cheng, Yingda; Qiu, Jing-Mei; Li, Fengyan
2020
High spatial order energy stable FDTD methods for Maxwell’s equations in nonlinear optical media in one dimension. Zbl 1407.65094
Bokil, Vrushali A.; Cheng, Yingda; Jiang, Yan; Li, Fengyan; Sakkaplangkul, Puttha
2018
An ultra-weak discontinuous Galerkin method for Schrödinger equation in one dimension. Zbl 1417.65167
Chen, Anqi; Li, Fengyan; Cheng, Yingda
2019
Superconvergence of ultra-weak discontinuous Galerkin methods for the linear Schrödinger equation in one dimension. Zbl 1440.65131
Chen, Anqi; Cheng, Yingda; Liu, Yong; Zhang, Mengping
2020
Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations. Zbl 1452.65241
Liu, Yuan; Cheng, Yingda; Chen, Shanqin; Zhang, Yong-Tao
2019
Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling. Zbl 1440.65147
Peng, Zhichao; Cheng, Yingda; Qiu, Jing-Mei; Li, Fengyan
2020
Superconvergence of ultra-weak discontinuous Galerkin methods for the linear Schrödinger equation in one dimension. Zbl 1440.65131
Chen, Anqi; Cheng, Yingda; Liu, Yong; Zhang, Mengping
2020
Discontinuous Galerkin methods with optimal $$L^2$$ accuracy for one dimensional linear PDEs with high order spatial derivatives. Zbl 1457.65049
Fu, Pei; Cheng, Yingda; Li, Fengyan; Xu, Yan
2019
An ultra-weak discontinuous Galerkin method for Schrödinger equation in one dimension. Zbl 1417.65167
Chen, Anqi; Li, Fengyan; Cheng, Yingda
2019
Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations. Zbl 1452.65241
Liu, Yuan; Cheng, Yingda; Chen, Shanqin; Zhang, Yong-Tao
2019
One-dimensional dissipative Boltzmann equation: measure solutions, cooling rate, and self-similar profile. Zbl 1383.82024
Alonso, Ricardo; Bagland, Véronique; Cheng, Yingda; Lods, Bertrand
2018
High spatial order energy stable FDTD methods for Maxwell’s equations in nonlinear optical media in one dimension. Zbl 1407.65094
Bokil, Vrushali A.; Cheng, Yingda; Jiang, Yan; Li, Fengyan; Sakkaplangkul, Puttha
2018
Rational and semirational solutions of the nonlocal Davey-Stewartson equations. Zbl 1382.35250
Rao, J.; Cheng, Y.; He, J.
2017
$$L^2$$ stable discontinuous Galerkin methods for one-dimensional two-way wave equations. Zbl 1352.65338
Cheng, Yingda; Chou, Ching-Shan; Li, Fengyan; Xing, Yulong
2017
Energy stable discontinuous Galerkin methods for Maxwell’s equations in nonlinear optical media. Zbl 1380.78011
Bokil, Vrushali A.; Cheng, Yingda; Jiang, Yan; Li, Fengyan
2017
An adaptive multiresolution discontinuous Galerkin method for time-dependent transport equations in multidimensions. Zbl 1379.65077
Guo, Wei; Cheng, Yingda
2017
A simple bound-preserving sweeping technique for conservative numerical approximations. Zbl 1381.65087
Liu, Yuan; Cheng, Yingda; Shu, Chi-Wang
2017
An asymptotic preserving Maxwell solver resulting in the Darwin limit of electrodynamics. Zbl 1372.78023
Cheng, Yingda; Christlieb, Andrew J.; Guo, Wei; Ong, Benjamin
2017
Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations. Zbl 1349.65636
Wang, Zixuan; Tang, Qi; Guo, Wei; Cheng, Yingda
2016
A sparse grid discontinuous Galerkin method for high-dimensional transport equations and its application to kinetic simulations. Zbl 1353.82064
Guo, Wei; Cheng, Yingda
2016
Convergence of discontinuous Galerkin schemes for front propagation with obstacles. Zbl 1353.65104
Bokanowski, Olivier; Cheng, Yingda; Shu, Chi-Wang
2016
Numerical study of the two-species Vlasov-Ampère system: energy-conserving schemes and the current-driven ion-acoustic instability. Zbl 1351.78037
Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui
2015
Discontinuous Galerkin methods for the Vlasov-Maxwell equations. Zbl 1307.76051
Cheng, Yingda; Gamba, Irene M.; Li, Fengyan; Morrison, Philip J.
2014
Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system. Zbl 1349.78030
Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui
2014
Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system. Zbl 1351.76053
Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui
2014
A new discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. Zbl 1349.65445
Cheng, Yingda; Wang, Zixuan
2014
A discontinuous Galerkin scheme for front propagation with obstacles. Zbl 1291.65182
Bokanowski, Olivier; Cheng, Yingda; Shu, Chi-Wang
2014
Study of conservation and recurrence of Runge-Kutta discontinuous Galerkin schemes for Vlasov-Poisson systems. Zbl 1281.82028
Cheng, Yingda; Gamba, Irene M.; Morrison, Philip J.
2013
Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations. Zbl 1233.82036
Cheng, Yingda; Gamba, Irene M.; Proft, Jennifer
2012
Numerical study of one-dimensional Vlasov-Poisson equations for infinite homogeneous stellar systems. Zbl 1243.85008
Cheng, Yingda; Gamba, Irene M.
2012
Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model. Zbl 1220.82099
Cheng, Yingda; Gamba, Irene M.; Ren, Kui
2011
A brief survey of the discontinuous Galerkin method for the Boltzmann-Poisson equations. Zbl 1242.65202
Cheng, Yingda; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang
2011
A discontinuous Galerkin solver for front propagation. Zbl 1368.65187
Bokanowski, Olivier; Cheng, Yingda; Shu, Chi-Wang
2011
Superconvergence of discontinuous Galerkin and local discontinuous Galerkin schemes for linear hyperbolic and convection-diffusion equations in one space dimension. Zbl 1208.65137
Cheng, Yingda; Shu, Chi-Wang
2010
A discontinuous Galerkin solver for Boltzmann-Poisson systems in nano-devices. Zbl 1229.82005
Cheng, Yingda; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang
2009
A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives. Zbl 1141.65075
Cheng, Yingda; Shu, Chi-Wang
2008
Superconvergence and time evolution of discontinuous Galerkin finite element solutions. Zbl 1153.65088
Cheng, Yingda; Shu, Chi-Wang
2008
A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. Zbl 1124.65090
Cheng, Yingda; Shu, Chi-Wang
2007
Stock liquidation via stochastic approximation using Nasdaq daily and intra-day data. Zbl 1128.91031
Yin, G.; Zhang, Q.; Liu, F.; Liu, R. H.; Cheng, Y.
2006
Numerical manifold method based on the method of weighted residuals. Zbl 1109.74373
Li, S.; Cheng, Y.; Wu, Y.-F.
2005
all top 5

Cited by 379 Authors

 29 Shu, Chi-Wang 28 Baccouch, Mahboub 26 Cheng, Yingda 15 Li, Fengyan 13 Martínez Gamba, Irene 12 Liu, Hailiang 10 Christlieb, Andrew J. 10 Qiu, Jingmei 9 Guo, Wei 9 Meng, Xiong 9 Qiu, Jianxian 8 Cao, Waixiang 8 Xing, Yulong 8 Zhang, Mengping 8 Zhang, Zhimin 7 Temimi, Helmi 7 Xu, Yan 7 Zhang, Yongtao 6 Dehghan Takht Fooladi, Mehdi 6 Li, Qin 6 Wang, Li 6 Wu, Boying 5 Adjerid, Slimane 5 Romano, Vittorio 5 Zhong, Xinghui 4 Bokanowski, Olivier 4 Bokil, Vrushali A. 4 Chou, Ching-Shan 4 Crouseilles, Nicolas 4 Hauck, Cory D. 4 Huang, Yunqing 4 Jiang, Yan 4 Li, Jichun 4 Majorana, Armando 4 Salehi, Rezvan 4 Tao, Qi 4 Yan, Jue 4 Zhang, Dazhi 4 Zhang, Qiang 3 Cai, Xiaofeng 3 Chen, Anqi 3 Chen, Ke 3 Einkemmer, Lukas 3 Hu, Jingwei 3 Jin, Shi 3 Karakashian, Ohannes A. 3 Peng, Zhichao 3 Ryan, Jennifer K. 3 Sahu, Smita 3 Standar, Christoffer 3 Sun, Zheng 3 Tao, Zhanjing 3 Xia, Yinhua 3 Xiong, Tao 3 Yang, Hyoseon 3 Yi, Nianyu 3 Yu, Xijun 3 Zheng, Feng 2 Abbaszadeh, Mostafa 2 An, Na 2 Asadzadeh, Mohammad Sina 2 Asthana, Kartikey 2 Ben-Romdhane, Mohamed 2 Bi, Hui 2 Bona, Jerry Lloyd 2 Chen, Chuanmiao 2 Chen, Duan 2 Chen, Hongqiu 2 Chen, Shanqin 2 Chen, Zheng 2 Cheng, Yao 2 Cockburn, Bernardo 2 Coco, Marco 2 Dong, Bo 2 Filbet, Francis 2 Ha, Youngsoo 2 Hitchon, William N. G. 2 Huang, Chaobao 2 Huang, Juntao 2 Jameson, Antony 2 Ji, Liangyue 2 Kim, Changho 2 Lai, Ru-Yu 2 Laiu, M. Paul 2 Li, Xiaole 2 Li, Yingzhe 2 Liu, Jianguo 2 Liu, Xiaobin 2 Liu, Yuan 2 Luo, Songting 2 Madaule, Éric 2 Makridakis, Charalambos G. 2 Morrison, Philip J. 2 Nastasi, Giovanni 2 Nordström, Jan 2 Pani, Amiya Kumar 2 Pollack, Michael 2 Qian, Chengeng 2 Ren, Kui 2 Sakkaplangkul, Puttha ...and 279 more Authors
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Cited in 62 Serials

 69 Journal of Computational Physics 62 Journal of Scientific Computing 21 Mathematics of Computation 15 Applied Numerical Mathematics 12 SIAM Journal on Numerical Analysis 11 SIAM Journal on Scientific Computing 9 Journal of Computational and Applied Mathematics 7 Computers & Mathematics with Applications 5 Computer Methods in Applied Mechanics and Engineering 5 Applied Mathematics and Computation 5 Numerische Mathematik 5 Numerical Methods for Partial Differential Equations 4 Inverse Problems 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Numerical Algorithms 3 Discrete and Continuous Dynamical Systems. Series B 3 Kinetic and Related Models 2 Journal of Statistical Physics 2 Calcolo 2 Ricerche di Matematica 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 International Journal of Computer Mathematics 2 SIAM Journal on Applied Mathematics 2 Multiscale Modeling & Simulation 1 Archive for Rational Mechanics and Analysis 1 Classical and Quantum Gravity 1 Computers and Fluids 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Advances in Mathematics 1 BIT 1 Mathematics and Computers in Simulation 1 SIAM Journal on Control and Optimization 1 Synthese 1 Theory and Decision 1 Computational Mechanics 1 COMPEL 1 Mathematical and Computer Modelling 1 Applied Mathematical Modelling 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 Chinese Science Bulletin 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Journal of Systems Science and Complexity 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Acta Numerica 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 Science China. Mathematics 1 International Journal for Numerical Methods in Biomedical Engineering 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 Communications in Applied and Industrial Mathematics 1 S$$\vec{\text{e}}$$MA Journal 1 Communications on Applied Mathematics and Computation 1 Electronic Research Archive 1 Results in Applied Mathematics
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Cited in 28 Fields

 266 Numerical analysis (65-XX) 176 Partial differential equations (35-XX) 54 Fluid mechanics (76-XX) 44 Statistical mechanics, structure of matter (82-XX) 22 Optics, electromagnetic theory (78-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 10 Mechanics of deformable solids (74-XX) 7 Ordinary differential equations (34-XX) 5 Biology and other natural sciences (92-XX) 4 Integral equations (45-XX) 4 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)