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Cheng, Yingda

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Author ID: cheng.yingda Recent zbMATH articles by "Cheng, Yingda"
Published as: Cheng, Yingda; Cheng, Y.
External Links: MGP · ORCID
Documents Indexed: 45 Publications since 2005

Publications by Year

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
76
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
66
2008
Rational and semirational solutions of the nonlocal Davey-Stewartson equations. Zbl 1382.35250
Rao, J.; Cheng, Y.; He, J.
45
2017
A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. Zbl 1124.65090
Cheng, Yingda; Shu, Chi-Wang
41
2007
Superconvergence and time evolution of discontinuous Galerkin finite element solutions. Zbl 1153.65088
Cheng, Yingda; Shu, Chi-Wang
31
2008
Discontinuous Galerkin methods for the Vlasov-Maxwell equations. Zbl 1307.76051
Cheng, Yingda; Gamba, Irene M.; Li, Fengyan; Morrison, Philip J.
21
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
20
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.
18
2013
Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system. Zbl 1349.78030
Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui
17
2014
Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations. Zbl 1233.82036
Cheng, Yingda; Gamba, Irene M.; Proft, Jennifer
17
2012
Numerical manifold method based on the method of weighted residuals. Zbl 1109.74373
Li, S.; Cheng, Y.; Wu, Y.-F.
15
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
12
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.
11
2006
Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system. Zbl 1351.76053
Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui
10
2014
Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations. Zbl 1349.65636
Wang, Zixuan; Tang, Qi; Guo, Wei; Cheng, Yingda
10
2016
Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model. Zbl 1220.82099
Cheng, Yingda; Gamba, Irene M.; Ren, Kui
9
2011
A new discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. Zbl 1349.65445
Cheng, Yingda; Wang, Zixuan
8
2014
Numerical study of one-dimensional Vlasov-Poisson equations for infinite homogeneous stellar systems. Zbl 1243.85008
Cheng, Yingda; Gamba, Irene M.
8
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
8
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
8
2017
A discontinuous Galerkin scheme for front propagation with obstacles. Zbl 1291.65182
Bokanowski, Olivier; Cheng, Yingda; Shu, Chi-Wang
7
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
5
2018
A discontinuous Galerkin solver for front propagation. Zbl 1368.65187
Bokanowski, Olivier; Cheng, Yingda; Shu, Chi-Wang
4
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
4
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
4
2016
Convergence of discontinuous Galerkin schemes for front propagation with obstacles. Zbl 1353.65104
Bokanowski, Olivier; Cheng, Yingda; Shu, Chi-Wang
3
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
3
2015
An adaptive multiresolution discontinuous Galerkin method for time-dependent transport equations in multidimensions. Zbl 1379.65077
Guo, Wei; Cheng, Yingda
2
2017
A simple bound-preserving sweeping technique for conservative numerical approximations. Zbl 1381.65087
Liu, Yuan; Cheng, Yingda; Shu, Chi-Wang
2
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
2
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
2
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
2
2018
An ultra-weak discontinuous Galerkin method for Schrödinger equation in one dimension. Zbl 1417.65167
Chen, Anqi; Li, Fengyan; Cheng, Yingda
2
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
1
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
1
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
2
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
1
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
4
2019
An ultra-weak discontinuous Galerkin method for Schrödinger equation in one dimension. Zbl 1417.65167
Chen, Anqi; Li, Fengyan; Cheng, Yingda
2
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
1
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
5
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
2
2018
Rational and semirational solutions of the nonlocal Davey-Stewartson equations. Zbl 1382.35250
Rao, J.; Cheng, Y.; He, J.
45
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
12
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
8
2017
An adaptive multiresolution discontinuous Galerkin method for time-dependent transport equations in multidimensions. Zbl 1379.65077
Guo, Wei; Cheng, Yingda
2
2017
A simple bound-preserving sweeping technique for conservative numerical approximations. Zbl 1381.65087
Liu, Yuan; Cheng, Yingda; Shu, Chi-Wang
2
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
2
2017
Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations. Zbl 1349.65636
Wang, Zixuan; Tang, Qi; Guo, Wei; Cheng, Yingda
10
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
4
2016
Convergence of discontinuous Galerkin schemes for front propagation with obstacles. Zbl 1353.65104
Bokanowski, Olivier; Cheng, Yingda; Shu, Chi-Wang
3
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
3
2015
Discontinuous Galerkin methods for the Vlasov-Maxwell equations. Zbl 1307.76051
Cheng, Yingda; Gamba, Irene M.; Li, Fengyan; Morrison, Philip J.
21
2014
Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system. Zbl 1349.78030
Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui
17
2014
Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system. Zbl 1351.76053
Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui
10
2014
A new discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. Zbl 1349.65445
Cheng, Yingda; Wang, Zixuan
8
2014
A discontinuous Galerkin scheme for front propagation with obstacles. Zbl 1291.65182
Bokanowski, Olivier; Cheng, Yingda; Shu, Chi-Wang
7
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.
18
2013
Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations. Zbl 1233.82036
Cheng, Yingda; Gamba, Irene M.; Proft, Jennifer
17
2012
Numerical study of one-dimensional Vlasov-Poisson equations for infinite homogeneous stellar systems. Zbl 1243.85008
Cheng, Yingda; Gamba, Irene M.
8
2012
Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model. Zbl 1220.82099
Cheng, Yingda; Gamba, Irene M.; Ren, Kui
9
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
8
2011
A discontinuous Galerkin solver for front propagation. Zbl 1368.65187
Bokanowski, Olivier; Cheng, Yingda; Shu, Chi-Wang
4
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
76
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
20
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
66
2008
Superconvergence and time evolution of discontinuous Galerkin finite element solutions. Zbl 1153.65088
Cheng, Yingda; Shu, Chi-Wang
31
2008
A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. Zbl 1124.65090
Cheng, Yingda; Shu, Chi-Wang
41
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.
11
2006
Numerical manifold method based on the method of weighted residuals. Zbl 1109.74373
Li, S.; Cheng, Y.; Wu, Y.-F.
15
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
all top 5

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

Citations by Year