Title | Author | arXiv/Preprint |
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Title | Author | Journal | DOI / arXiv |
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Design of Experiments via Multi-Fidelity Surrogates and Statistical Sensitivity Measures | D. Gillcrist N. Alemazkoor Y. Chen M. Tootkaboni |
Journal of Machine Learning for Modeling and Computing | |
A reduced basis warm-start iterative solver for the parameterized linear system | S. Hou Y. Chen Y. Xia |
Beijing J. of Pure and Appl. Math. | arXiv: 2311.13862 |
MCMS-RBM: Multi-Component Multi-State Reduced Basis Method toward Efficient Transition Pathway Identification for Crystals and Quasicrystals | Y. Ji L. Ji Y. Chen Z. Xu |
SIAM J. Sci. Comput. | arXiv: 2308.15195 |
TGPT-PINN: Nonlinear model reduction with transformed GPT-PINNs | Y. Chen Y. Ji A. Narayan Z. Xu |
Comput. Methods Appl. Mech. Engrg. |
arXiv: 2403.03459
doi.org/10.1016/j.cma.2024.117198 |
A micro-macro decomposed reduced basis method for the time-dependent radiative transfer equation | Z. Peng Y. Chen Y. Cheng F. Li |
SIAM Multiscale Modeling & Simulation |
arXiv: 2211.04677
doi.org/10.1137/22M1533487 |
GPT-PINN: Generative Pre-Trained Physics-Informed Neural Networks toward non-intrusive Meta-learning 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 Monge-Ampere equation | S. Hou Y. Chen Y. Xia |
SIAM J. Sci. Comput. |
arXiv: 2112.01878
DOI 10.1137/21M1463720 |
A hyper-reduced MAC scheme for the parametric Stokes and Navier-Stokes 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/s10915-022-01782-2 |
An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation | Y. Chen S. Gottlieb L. Ji Y. Maday |
J. Comput. Phys. |
arXiv: 2101.05902
DOI 10.1016/j.jcp.2021.110545 |
L1-based reduced over collocation and hyper reduction for steady state and time-dependent nonlinear equations | Y. Chen L. Ji A. Narayan Z. Xu |
J. Sci. Comput. |
arXiv: 2009.04812
DOI 10.1007/s10915-021-01416-z |
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 parameter-domain 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 offline-free 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/s10915-019-00976-5 |
A reduced basis method for the nonlinear Poisson-Boltzmann equation | L. Ji Y. Chen Z. Xu |
Advances in Applied Mathematics and Mechanics, To Appear. |
arXiv: 1808.09392
DOI 10.4208/aamm.OA-2018-0188 |
A robust error estimator and a residual-free 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/s10915-018-0845-0 |
A Hybridizable discontinuous Galerkin method for the Fifth-order Korteweg de-Vries equation | B. Dong J. Jiang Y. Chen |
ESAIM: M2AN |
arXiv: 1710.07734
DOI 10.1051/m2an/2018037 |
Offline-Enhanced 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/s10915-017-0551-3 |
A goal-oriented RBM-Accelerated 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 H2-norm, for third-order 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 Natural-Norm Successive Constraint Method for Parametric Inf-Sup 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. 205-206, 2015 |
doi:10.1109/VAST.2015.7347680
PDF at IEEExplore |
Superconvergent HDG methods for linear, stationary, third-order equations in one-space 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 variable-degree HDG methods for Convection-Diffusion 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. 24-29. |
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Reduced Collocation Methods: Reduced Basis Methods in the Collocation Framework | Y. Chen S. Gottlieb |
Journal of Scientific Computing 55/3 (2013), pp. 718-737 |
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 variable-degree HDG methods for Convection-Diffusion 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 Equations-Selected papers from the ICASOHOM'09 conference, J Hesthaven and EM Ronquist (eds). 2011, Volume 76, 141-152. |
Link
Updated Preprint |
A Natural-Norm Successive Constraint Method for Inf-Sup 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 Inf-Sup 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 Hamilton-Jacobi equations. Part I: the one dimensional steady state case | Y. Chen B. Cockburn |
J. Comput. Phys. v 226/1(2007), pp. 1027-1058 |
doi: 10.1016/j.jcp.2007.05.003 |
Title | Author | arXiv/Preprint | |
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L1-ROC and R2-ROC: L1- and R2-based Reduced Over-Collocation methods for parametrized nonlinear partial differential equations | Y. Chen S. Gottlieb L. Ji Y. Maday Z. Xu |
arXiv: 1906.07349 | |
Reduced-basis method for the iterative solution of parametrized symmetric positive-definite linear systems | N. C. Nguyen Y. Chen |
arXiv: 1804.06363 |
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