Title  Author  arXiv/Preprint  

TGPTPINN: Nonlinear model reduction with transformed GPTPINNs  Y. Chen Y. Ji A. Narayan Z. Xu 
arXiv: 2403.03459  
A reduced basis warmstart iterative solver for the parameterized linear system  S. Hou Y. Chen Y. Xia 
arXiv: 2311.13862  
MCMSRBM: MultiComponent MultiState Reduced Basis Method toward Efficient Transition Pathway Identification for Crystals and Quasicrystals  Y. Ji L. Ji Y. Chen Z. Xu 
arXiv: 2308.15195 
Title  Author  Journal  DOI / arXiv 

A micromacro decomposed reduced basis method for the timedependent radiative transfer equation  Z. Peng Y. Chen Y. Cheng F. Li 
arXiv: 2211.04677  
GPTPINN: Generative PreTrained PhysicsInformed Neural Networks toward nonintrusive Metalearning of parametric PDEs  Y. Chen S. Koohy 
Finite Elements in Analysis and Design  arXiv: 2303.14878 DOI 10.1016/j.finel.2023.104047 
A fully conservative discontinuous Galerkin method via implicit penalization for the generalized KdV equation  Y. Chen B. Dong R. Pereira 
SIAM J. Num. Anal. 
arXiv: 2211.05893
DOI 10.1137/22M1470827 
Fast L2 optimal mass transport via reduced basis methods for the MongeAmpere equation  S. Hou Y. Chen Y. Xia 
SIAM J. Sci. Comput. 
arXiv: 2112.01878
DOI 10.1137/21M1463720 
A hyperreduced MAC scheme for the parametric Stokes and NavierStokes equations  Y. Chen L. Ji Z. Wang 
J. Comput. Phys. 
arXiv: 2110.11179
DOI 10.1016/j.jcp.2022.111412 
A reduced basis method for radiative transfer equation  Z. Peng Y. Chen Y. Cheng F. Li 
J. Sci. Comput. 
arXiv: 2103.07574
DOI 10.1007/s10915022017822 
An EIMdegradation free reduced basis method via over collocation and residual hyper reductionbased error estimation  Y. Chen S. Gottlieb L. Ji Y. Maday 
J. Comput. Phys. 
arXiv: 2101.05902
DOI 10.1016/j.jcp.2021.110545 
L1based reduced over collocation and hyper reduction for steady state and timedependent nonlinear equations  Y. Chen L. Ji A. Narayan Z. Xu 
J. Sci. Comput. 
arXiv: 2009.04812
DOI 10.1007/s1091502101416z 
Model reduction for fractional elliptic problems using Kato's formula  H. Dinh H. Antil Y. Chen E. Cherkaev A. Narayan 
Math. Control Relat. Fields, To Appear 
arXiv: 1904.09332
DOI 10.3934/mcrf.2021004 
Adaptive greedy algorithms based on parameterdomain decomposition and reconstruction for the reduced basis method  J. Jiang Y. Chen 
Internat. J. Numer. Methods Engrg. To Appear 
arXiv: 1911.02214
DOI 10.1002/nme.6544 
Certified reduced basis methods for fractional Laplace equations via extension  H. Antil Y. Chen A. Narayan 
SIAM J. Sci. Comput. 
arXiv: 1808.00584
DOI 10.1137/18M1204802 
Certified offlinefree reduced basis (COFRB) methods for stochastic differential equations driven by arbitrary types of noise  Y. Liu T. Chen Y. Chen C.W. Shu 
J. Sci. Comput., To Appear 
Preprint
DOI 10.1007/s10915019009765 
A reduced basis method for the nonlinear PoissonBoltzmann equation  L. Ji Y. Chen Z. Xu 
Advances in Applied Mathematics and Mechanics, To Appear. 
arXiv: 1808.09392
DOI 10.4208/aamm.OA20180188 
A robust error estimator and a residualfree error indicator for reduced basis methods  Y. Chen J. Jiang A. Narayan 
Computers and Mathematics with Applications, To Appear. 
arXiv: 1710.08999
DOI 10.1016/j.camwa.2018.11.032 
A Foreword to the Special Issue in Honor of Professor Bernardo Cockburn on His 60th Birthday: A Life Time of Discontinuous Schemings  Y. Chen B. Dong C.W. Shu 
Foreword to a special issue J. Sci. Comput. 
DOI 10.1007/s1091501808450 
A Hybridizable discontinuous Galerkin method for the Fifthorder Korteweg deVries equation  B. Dong J. Jiang Y. Chen 
ESAIM: M2AN 
arXiv: 1710.07734
DOI 10.1051/m2an/2018037 
OfflineEnhanced Reduced Basis Method through adaptive construction of the Surrogate Training Set  J. Jiang Y. Chen A. Narayan 
J. Sci. Comput. (to appear) (2017) 
arXiv: 1703.05683
DOI 10.1007/s1091501705513 
A goaloriented RBMAccelerated generalized polynomial chaos algorithm  J. Jiang Y. Chen A. Narayan 
SIAM/ASA JUQ 4 (2016), no. 1, 1398  1420. 
arXiv Preprint
JUQ Link 
A new discontinuous Galerkin method, conserving the discrete H^{2}norm, for thirdorder linear equations in one space dimension  Y. Chen B. Cockburn B. Dong 
IMA J Numer Anal (2016) 36 (4): 1570  1598. 
doi: 10.1093/imanum/drv070 
A Certified NaturalNorm Successive Constraint Method for Parametric InfSup Lower Bounds  Y. Chen 
Applied Numer. Math. 99 (2016) 98  108. 
doi: 10.1016/j.apnum.2015.09.003
arXiv Preprint 
Reduced Basis Decomposition: a Certified and Fast Lossy Data Compression Algorithm  Y. Chen 
Computers and Mathematics with Applications 70 (2015) 2566  2574. 
doi: 10.1016/j.camwa.2015.09.023
Corresponding downloadable software page. arXiv Preprint 
[Refereed Proceedings] Using Visualization and Analysis with Efficient Dimension Reduction to Determine Underlying Factors in Hospital Inpatient Procedure Costs  M. Perkins Y. Chen 
2015 IEEE Conference on Visual Analytics Science and Technology (VAST) vol. 00, pp. 205206, 2015 
doi:10.1109/VAST.2015.7347680
PDF at IEEExplore 
Superconvergent HDG methods for linear, stationary, thirdorder equations in onespace dimension  Y. Chen B. Cockburn B. Dong 
Math. Comp. 85 (2016), 2715  2742. 
Link 
A reduced radial basis function method for partial differential equations on irregular domains  Y. Chen S. Gottlieb A. Heryudono A. Narayan 
J. Sci. Comput. (2016) 66(1):67  90. 
Link arXiv Preprint 
Parametric Analytical Preconditioning and its Applications to the Reduced Collocation Methods  Y. Chen S. Gottlieb Y. Maday 
C. R. Acad. Sci. Paris, Ser. I 352 (2014) 661  666. 
doi: 10.1016/j.crma.2014.06.001
arXiv Preprint 
Analysis of variabledegree HDG methods for ConvectionDiffusion equations. Part II: Semimatching nonconforming meshes  Y. Chen B. Cockburn 
Math. Comp. (2014) 83 (285) 87  111. 
Link 
[Education Journal] Transformation of a Mathematics Department's Teaching and Research Through a Focus on Computational Science  Y. Chen G. Davis S. Gottlieb A. Hausknecht A. Heryudono S. Kim 
Journal of Computational Science Education (2013) 4(1), pp. 2429. 

Reduced Collocation Methods: Reduced Basis Methods in the Collocation Framework  Y. Chen S. Gottlieb 
Journal of Scientific Computing 55/3 (2013), pp. 718737 
Link arXiv Preprint 
Certified Reduced Basis Method for Electromagnetic Scattering and Radar Cross Section Estimation  Y. Chen J.S. Hesthaven Y. Maday J. Rodriguez Xueyu Zhu 
CMAME 233 (2012) 92  108. 
doi: 10.1016/j.cma.2012.04.013 
Analysis of variabledegree HDG methods for ConvectionDiffusion equations. Part I: General nonconforming meshes  Y. Chen B. Cockburn 
IMA J Numer Anal (2012) 32 (4): 1267  1293. 
doi: 10.1093/imanum/drr058 
A Seamless Reduced Basis Element Method for 2D Maxwell's Problem: An Introduction  Y. Chen J.S. Hesthaven Y. Maday 
In Spectral and High Order Methods for Partial Differential EquationsSelected papers from the ICASOHOM'09 conference, J Hesthaven and EM Ronquist (eds). 2011, Volume 76, 141152. 
Link
Updated Preprint 
A NaturalNorm Successive Constraint Method for InfSup Lower Bounds  D.B.P. Huynh D.J. Knezevic Y. Chen J.S. Hesthaven A.T. Patera 
CMAME 199 (2010) 1963  1975 
doi: 10.1016/j.cma.2010.02.011 
Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations  Y. Chen J.S. Hesthaven Y. Maday J. Rodriguez 
SISC 32/2 (2010), pp. 970  996 
doi: 10.1137/09075250X
Updated Preprint 
Improved Successive Constraint Method Based A Posteriori Error Estimate for Reduced Basis Approximation of 2D Maxwell's Problem  Y. Chen J.S. Hesthaven Y. Maday J. Rodriguez 
ESAIM: M2AN 43 (2009) 1099  1116 
doi: 10.1051/m2an/2009037 
A Monotonic Evaluation of Lower Bounds for InfSup Stability Constants in the Frame of Reduced Basis Approximations  Y. Chen J. S. Hesthaven Y. Maday J. Rodriguez 
C. R. Acad. Sci. Paris, Ser. I 346 (2008) 1295  1300. 
doi: 10.1016/j.crma.2008.10.012
Preprint 
An adaptive high order discontinuous Galerkin method with error control for the HamiltonJacobi equations. Part I: the one dimensional steady state case  Y. Chen B. Cockburn 
J. Comput. Phys. v 226/1(2007), pp. 10271058 
doi: 10.1016/j.jcp.2007.05.003 
Title  Author  arXiv/Preprint  

L1ROC and R2ROC: L1 and R2based Reduced OverCollocation methods for parametrized nonlinear partial differential equations  Y. Chen S. Gottlieb L. Ji Y. Maday Z. Xu 
arXiv: 1906.07349  
Reducedbasis method for the iterative solution of parametrized symmetric positivedefinite linear systems  N. C. Nguyen Y. Chen 
arXiv: 1804.06363 
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