{
 "author": "Yanlai Chen",
 "homepage": "https://yanlaichen.reawritingmath.com/",
 "orcid": "https://orcid.org/0000-0002-7460-8313",
 "count": 51,
 "publications": [
  {
   "title": "Reduced basis methods for parametric steady-state radiative transfer equation",
   "authors": [
    "Kimberly Matsuda",
    "Yanlai Chen",
    "Yingda Cheng",
    "Fengyan Li"
   ],
   "venue": "Journal of Computational Physics",
   "details": "Vol. 548, pp. 114597",
   "year": "2026",
   "type": "journal",
   "doi": "10.1016/j.jcp.2025.114597",
   "url": "https://doi.org/10.1016/j.jcp.2025.114597"
  },
  {
   "title": "Derivative-informed Graph Convolutional Autoencoder with Phase Classification for the Lifshitz-Petrich Model",
   "authors": [
    "Yanlai Chen",
    "Yajie Ji",
    "Zhenli Xu"
   ],
   "venue": "CSIAM Transactions on Applied Mathematics",
   "details": "",
   "year": "2026",
   "type": "journal",
   "doi": "10.4208/csiam-am.so-2025-0089",
   "url": "https://doi.org/10.4208/csiam-am.so-2025-0089"
  },
  {
   "title": "S²GPT-PINN: Reduced basis and hyper reduction-driven double reduction for Physics-Informed Neural Networks",
   "authors": [
    "Yajie Ji",
    "Yanlai Chen",
    "Shawn Koohy"
   ],
   "venue": "Communications in Computational Physics",
   "details": "Vol. 40, No. 4, pp. 1293–1316",
   "year": "2026",
   "type": "journal",
   "doi": "10.4208/cicp.OA-2025-0152",
   "url": "https://doi.org/10.4208/cicp.OA-2025-0152"
  },
  {
   "title": "EGPT-PINN: Entropy-regularized generative pre-trained physics informed neural networks for parameterized nonlinear conservation laws",
   "authors": [
    "Yajie Ji",
    "Yanlai Chen",
    "Zhenli Xu"
   ],
   "venue": "Computers & Mathematics with Applications",
   "details": "Vol. 222, pp. 223–243",
   "year": "2026",
   "type": "journal",
   "doi": "10.1016/j.camwa.2026.09.017",
   "url": "https://doi.org/10.1016/j.camwa.2026.09.017"
  },
  {
   "title": "Nonlinear Model Order Reduction on Quadratic Manifolds via Greedy Algorithms with Dimension-Dependent Regularization",
   "authors": [
    "Lijie Ji",
    "S. Rashid",
    "Yanlai Chen",
    "Zhu Wang"
   ],
   "venue": "Submitted",
   "details": "",
   "year": "2026",
   "type": "preprint",
   "doi": "",
   "url": ""
  },
  {
   "title": "High-order Conservative Discontinuous Galerkin Methods via Implicit Penalization for the Generalized Korteweg–de Vries Equation and the Hirota–Satsuma KdV System",
   "authors": [
    "Muhammad Shan Tariq",
    "Yanlai Chen",
    "Bo Dong"
   ],
   "venue": "Submitted",
   "details": "",
   "year": "2026",
   "type": "preprint",
   "doi": "",
   "url": ""
  },
  {
   "title": "ReBaNO: Reduced Basis Neural Operator Mitigating Generalization Gaps and Achieving Discretization Invariance",
   "authors": [
    "Haolan Zheng",
    "Yanlai Chen",
    "J. Han",
    "Y. Yu"
   ],
   "venue": "arXiv preprint arXiv:2509.09611",
   "details": "",
   "year": "2025",
   "type": "preprint",
   "doi": "",
   "url": "https://arxiv.org/abs/2509.09611"
  },
  {
   "title": "AAROC: Reduced Over-Collocation Method With Adaptive Time Partitioning and Adaptive Enrichment for Parametric Time-Dependent Equations",
   "authors": [
    "Lijie Ji",
    "Zhichao Peng",
    "Yanlai Chen"
   ],
   "venue": "Numerical Methods for Partial Differential Equations",
   "details": "Vol. 41, No. 5, pp. e70031",
   "year": "2025",
   "type": "journal",
   "doi": "10.1002/num.70031",
   "url": "https://doi.org/10.1002/num.70031"
  },
  {
   "title": "A reduced basis warm-start iterative solver for the parameterized linear systems",
   "authors": [
    "Shijin Hou",
    "Yanlai Chen",
    "Yinhua Xia"
   ],
   "venue": "Beijing Journal of Pure and Applied Mathematics",
   "details": "Vol. 2, No. 1, pp. 123–146",
   "year": "2025",
   "type": "journal",
   "doi": "10.4310/BPAM.250414231722",
   "url": "https://doi.org/10.4310/BPAM.250414231722"
  },
  {
   "title": "Greedy Rational Approximation for Frequency-Domain Model Reduction of Parametric LTI Systems",
   "authors": [
    "Filip Bělík",
    "Yanlai Chen",
    "Akil Narayan"
   ],
   "venue": "arXiv preprint arXiv:2512.23814",
   "details": "",
   "year": "2025",
   "type": "preprint",
   "doi": "",
   "url": "https://arxiv.org/abs/2512.23814"
  },
  {
   "title": "GPT-PINN: Generative Pre-Trained Physics-Informed Neural Networks toward non-intrusive Meta-learning of parametric PDEs",
   "authors": [
    "Yanlai Chen",
    "Shawn Koohy"
   ],
   "venue": "Finite Elements in Analysis and Design",
   "details": "Vol. 228, pp. 104047",
   "year": "2024",
   "type": "journal",
   "doi": "10.1016/j.finel.2023.104047",
   "url": "https://doi.org/10.1016/j.finel.2023.104047"
  },
  {
   "title": "Design of Experiments via Multi-Fidelity Surrogates and Statistical Sensitivity Measures",
   "authors": [
    "David J. Gillcrist",
    "Negin Alemazkoor",
    "Yanlai Chen",
    "Mazdak Tootkaboni"
   ],
   "venue": "Journal of Machine Learning for Modeling and Computing",
   "details": "Vol. 5, No. 4, pp. 95–121",
   "year": "2024",
   "type": "journal",
   "doi": "10.1615/JMachLearnModelComput.2024055261",
   "url": "https://doi.org/10.1615/JMachLearnModelComput.2024055261"
  },
  {
   "title": "TGPT-PINN: Nonlinear model reduction with transformed GPT-PINNs",
   "authors": [
    "Yanlai Chen",
    "Yajie Ji",
    "Akil Narayan",
    "Zhenli Xu"
   ],
   "venue": "Computer Methods in Applied Mechanics and Engineering",
   "details": "Vol. 430, pp. 117198",
   "year": "2024",
   "type": "journal",
   "doi": "10.1016/j.cma.2024.117198",
   "url": "https://doi.org/10.1016/j.cma.2024.117198"
  },
  {
   "title": "MCMS-RBM: Multicomponent Multistate Reduced Basis Method Toward Rapid Generation of Phase Diagrams for the Lifshitz–Petrich Model",
   "authors": [
    "Yajie Ji",
    "Lijie Ji",
    "Yanlai Chen",
    "Zhenli Xu"
   ],
   "venue": "SIAM Journal on Scientific Computing",
   "details": "Vol. 46, No. 6, pp. B785-B805",
   "year": "2024",
   "type": "journal",
   "doi": "10.1137/23M1596831",
   "url": "https://doi.org/10.1137/23M1596831"
  },
  {
   "title": "A Micro-Macro Decomposed Reduced Basis Method for the Time-Dependent Radiative Transfer Equation",
   "authors": [
    "Zhichao Peng",
    "Yanlai Chen",
    "Yingda Cheng",
    "Fengyan Li"
   ],
   "venue": "Multiscale Modeling & Simulation",
   "details": "Vol. 22, No. 1, pp. 639–666",
   "year": "2024",
   "type": "journal",
   "doi": "10.1137/22M1533487",
   "url": "https://doi.org/10.1137/22M1533487"
  },
  {
   "title": "A New Conservative Discontinuous Galerkin Method via Implicit Penalization for the Generalized Korteweg–de Vries Equation",
   "authors": [
    "Yanlai Chen",
    "Bo Dong",
    "Rebecca Pereira"
   ],
   "venue": "SIAM Journal on Numerical Analysis",
   "details": "Vol. 60, No. 6, pp. 3078-3098",
   "year": "2022",
   "type": "journal",
   "doi": "10.1137/22M1470827",
   "url": "https://doi.org/10.1137/22M1470827"
  },
  {
   "title": "Fast L² Optimal Mass Transport via Reduced Basis Methods for the Monge–Ampère Equation",
   "authors": [
    "Shijin Hou",
    "Yanlai Chen",
    "Yinhua Xia"
   ],
   "venue": "SIAM Journal on Scientific Computing",
   "details": "Vol. 44, No. 6, pp. A3536-A3559",
   "year": "2022",
   "type": "journal",
   "doi": "10.1137/21M1463720",
   "url": "https://doi.org/10.1137/21M1463720"
  },
  {
   "title": "A hyper-reduced MAC scheme for the parametric Stokes and Navier-Stokes equations",
   "authors": [
    "Yanlai Chen",
    "Lijie Ji",
    "Zhu Wang"
   ],
   "venue": "Journal of Computational Physics",
   "details": "Vol. 466, pp. 111412",
   "year": "2022",
   "type": "journal",
   "doi": "10.1016/j.jcp.2022.111412",
   "url": "https://doi.org/10.1016/j.jcp.2022.111412"
  },
  {
   "title": "A reduced basis method for radiative transfer equation",
   "authors": [
    "Zhichao Peng",
    "Yanlai Chen",
    "Yingda Cheng",
    "Fengyan Li"
   ],
   "venue": "Journal of Scientific Computing",
   "details": "Vol. 91, No. 5, pp. 24",
   "year": "2022",
   "type": "journal",
   "doi": "10.1007/s10915-022-01782-2",
   "url": "https://doi.org/10.1007/s10915-022-01782-2"
  },
  {
   "title": "Model reduction for fractional elliptic problems using Kato's formula",
   "authors": [
    "Huy Dinh",
    "Harbir Antil",
    "Yanlai Chen",
    "Elena Cherkaev",
    "Akil Narayan"
   ],
   "venue": "Mathematical Control and Related Fields",
   "details": "Vol. 12, No. 1, pp. 115-146",
   "year": "2022",
   "type": "journal",
   "doi": "10.3934/mcrf.2021004",
   "url": "https://doi.org/10.3934/mcrf.2021004"
  },
  {
   "title": "L1-based reduced over collocation and hyper reduction for steady state and time-dependent nonlinear equations",
   "authors": [
    "Yanlai Chen",
    "Lijie Ji",
    "Akil Narayan",
    "Zhenli Xu"
   ],
   "venue": "J. Sci. Compt.",
   "details": "Vol. 87, pp. 10",
   "year": "2021",
   "type": "journal",
   "doi": "10.1007/s10915-021-01416-z",
   "url": "https://doi.org/10.1007/s10915-021-01416-z"
  },
  {
   "title": "An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation",
   "authors": [
    "Yanlai Chen",
    "Sigal Gottlieb",
    "Lijie Ji",
    "Yvon Maday"
   ],
   "venue": "Journal of Computational Physics",
   "details": "Vol. 444, pp. 110545",
   "year": "2021",
   "type": "journal",
   "doi": "10.1016/j.jcp.2021.110545",
   "url": "https://doi.org/10.1016/j.jcp.2021.110545"
  },
  {
   "title": "Adaptive greedy algorithms based on parameter-domain decomposition and reconstruction for the reduced basis method",
   "authors": [
    "Jiahua Jiang",
    "Yanlai Chen"
   ],
   "venue": "International Journal for Numerical Methods in Engineering",
   "details": "Vol. 121, No. 23, pp. 5426-5445",
   "year": "2020",
   "type": "journal",
   "doi": "10.1002/nme.6544",
   "url": "https://doi.org/10.1002/nme.6544"
  },
  {
   "title": "A robust error estimator and a residual-free error indicator for reduced basis methods",
   "authors": [
    "Y. Chen",
    "J. Jiang",
    "A. Narayan"
   ],
   "venue": "Computers & Mathematics with Applications",
   "details": "Vol. 77, pp. 1963–1979",
   "year": "2019",
   "type": "journal",
   "doi": "10.1016/j.camwa.2018.11.032",
   "url": "https://doi.org/10.1016/j.camwa.2018.11.032"
  },
  {
   "title": "Certified Offline-Free Reduced Basis (COFRB) Methods for Stochastic Differential Equations Driven by Arbitrary Types of Noise",
   "authors": [
    "Yong Liu",
    "Tianheng Chen",
    "Yanlai Chen",
    "Chi-Wang Shu"
   ],
   "venue": "Journal of Scientific Computing",
   "details": "",
   "year": "2019",
   "type": "journal",
   "doi": "10.1007/s10915-019-00976-5",
   "url": "https://doi.org/10.1007/s10915-019-00976-5"
  },
  {
   "title": "Certified reduced basis methods for fractional Laplace equations via extension",
   "authors": [
    "Harbir Antil",
    "Yanlai Chen",
    "Akil Narayan"
   ],
   "venue": "Siam J. Sci. Comput.",
   "details": "Vol. 41, No. 6, pp. A3552-A3575",
   "year": "2019",
   "type": "journal",
   "doi": "10.1137/18M1204802",
   "url": "https://doi.org/10.1137/18M1204802"
  },
  {
   "title": "A Reduced Basis Method for the Nonlinear Poisson-Boltzmann Equation",
   "authors": [
    "Lijie Ji",
    "Yanlai Chen",
    "Zhenli Xu"
   ],
   "venue": "Advances in Applied Mathematics and Mechanics",
   "details": "Vol. 11, No. 5, pp. 1200–1218",
   "year": "2019",
   "type": "journal",
   "doi": "10.4208/aamm.OA-2018-0188",
   "url": "https://doi.org/10.4208/aamm.OA-2018-0188"
  },
  {
   "title": "L1-ROC and R2-ROC: L1- and R2-based Reduced Over-Collocation methods for parametrized nonlinear partial differential equations",
   "authors": [
    "Yanlai Chen",
    "Sigal Gottlieb",
    "Lijie Ji",
    "Yvon Maday",
    "Zhenli Xu"
   ],
   "venue": "arXiv:1906.07349",
   "details": "",
   "year": "2019",
   "type": "preprint",
   "doi": "",
   "url": ""
  },
  {
   "title": "Optimally convergent hybridizable discontinuous Galerkin method for fifth-order Korteweg-de Vries type equations",
   "authors": [
    "Yanlai Chen",
    "Bo Dong",
    "Jiahua Jiang"
   ],
   "venue": "ESAIM: M2AN",
   "details": "Vol. 52, No. 6, pp. 2283-2306",
   "year": "2018",
   "type": "journal",
   "doi": "10.1051/m2an/2018037",
   "url": "https://doi.org/10.1051/m2an/2018037"
  },
  {
   "title": "Reduced-basis method for the iterative solution of parametrized symmetric positive-definite linear systems",
   "authors": [
    "Cuong Nguyen",
    "Yanlai Chen"
   ],
   "venue": "arXiv:1804.06363",
   "details": "",
   "year": "2018",
   "type": "preprint",
   "doi": "",
   "url": ""
  },
  {
   "title": "A Foreword to the Special Issue in Honor of Professor Bernardo Cockburn on His 60th Birthday: A Life Time of Discontinuous Schemings",
   "authors": [
    "Yanlai Chen",
    "Bo Dong",
    "Chi-Wang Shu"
   ],
   "venue": "Journal of Scientific Computing",
   "details": "Vol. 77, No. 3, pp. 1303–1309",
   "year": "2018",
   "type": "journal",
   "doi": "",
   "url": ""
  },
  {
   "title": "Offline-Enhanced reduced basis method through adaptive construction of the surrogate training set.",
   "authors": [
    "J. Jiang",
    "Y. Chen",
    "A. Narayan"
   ],
   "venue": "J. Sci. Comput.",
   "details": "Vol. 73, No. 2, pp. 853–875",
   "year": "2017",
   "type": "journal",
   "doi": "",
   "url": ""
  },
  {
   "title": "A Certified Natural-Norm Successive Constraint Method for Parametric Inf-Sup Lower Bounds",
   "authors": [
    "Y. Chen"
   ],
   "venue": "Applied Numer. Math.",
   "details": "Vol. 99, pp. 98–108",
   "year": "2016",
   "type": "journal",
   "doi": "",
   "url": ""
  },
  {
   "title": "Superconvergent HDG methods for linear, stationary, third-order equations in one-space dimension",
   "authors": [
    "Y. Chen",
    "B. Cockburn",
    "B. Dong"
   ],
   "venue": "Math. Comp.",
   "details": "Vol. 85, pp. 2715-2742",
   "year": "2016",
   "type": "journal",
   "doi": "",
   "url": ""
  },
  {
   "title": "A new discontinuous Galerkin method, conserving the discrete H2-norm, for third-order linear equations in one space dimension",
   "authors": [
    "Y. Chen",
    "B. Cockburn",
    "B. Dong"
   ],
   "venue": "IMA J. Num. Anal.",
   "details": "Vol. 36, No. 4, pp. 1570-1598",
   "year": "2016",
   "type": "journal",
   "doi": "10.1093/imanum/drv070",
   "url": "https://doi.org/10.1093/imanum/drv070"
  },
  {
   "title": "A reduced radial basis function method for partial differential equations on irregular domains",
   "authors": [
    "Y. Chen",
    "S. Gottlieb",
    "A. Heryudono",
    "A. Narayan"
   ],
   "venue": "J. Sci. Comput.",
   "details": "Vol. 66, No. 1, pp. 67-90",
   "year": "2016",
   "type": "journal",
   "doi": "",
   "url": ""
  },
  {
   "title": "A goal-oriented RBM-Accelerated generalized polynomial chaos algorithm",
   "authors": [
    "J. Jiang",
    "Y. Chen",
    "A. Narayan"
   ],
   "venue": "SIAM/ASA JUQ",
   "details": "Vol. 4, No. 1, pp. 1398–1420",
   "year": "2016",
   "type": "journal",
   "doi": "",
   "url": ""
  },
  {
   "title": "Reduced Basis Decomposition: a Certified and Fast Lossy Data Compression Algorithm",
   "authors": [
    "Y. Chen"
   ],
   "venue": "Computers and Mathematics with Applications",
   "details": "Vol. 70, pp. 2566–2574",
   "year": "2015",
   "type": "journal",
   "doi": "",
   "url": ""
  },
  {
   "title": "Using Visualization and Analysis with Efficient Dimension Reduction Techniques to Determine Underlying Factors in Hospital Inpatient Procedure Costs",
   "authors": [
    "M. Perkins",
    "Y. Chen"
   ],
   "venue": "2015 IEEE Conference on Visual Analytics Science and Technology (VAST)",
   "details": "Vol. 00, pp. 205-206",
   "year": "2015",
   "type": "journal",
   "doi": "",
   "url": ""
  },
  {
   "title": "Analysis of variable-degree HDG methods for Convection-Diffusion equations. Part II: Semimatching nonconforming meshes",
   "authors": [
    "Y. Chen",
    "B. Cockburn"
   ],
   "venue": "Math. Comp.",
   "details": "Vol. 83, No. 285, pp. 87–111",
   "year": "2014",
   "type": "journal",
   "doi": "",
   "url": ""
  },
  {
   "title": "Parametric Analytical Preconditioning and its Applications to the Reduced Collocation Methods.",
   "authors": [
    "Y. Chen",
    "S. Gottlieb",
    "Y. Maday"
   ],
   "venue": "C. R. Acad. Sci. Paris, Ser. I",
   "details": "Vol. 352, pp. 661-666",
   "year": "2014",
   "type": "journal",
   "doi": "10.1016/j.crma.2014.06.001",
   "url": "https://doi.org/10.1016/j.crma.2014.06.001"
  },
  {
   "title": "Reduced Collocation Methods: Reduced Basis Methods in the Collocation Framework.",
   "authors": [
    "Y. Chen",
    "S. Gottlieb"
   ],
   "venue": "J. Sci. Comput.",
   "details": "Vol. 55, No. 3, pp. 718–737",
   "year": "2013",
   "type": "journal",
   "doi": "",
   "url": ""
  },
  {
   "title": "Transformation of a Mathematics Department's Teaching and Research Through a Focus on Computational Science",
   "authors": [
    "Y. Chen",
    "G. Davis",
    "S. Gottlieb",
    "A. Hausknecht",
    "A. Heryudono",
    "S. Kim"
   ],
   "venue": "JOCSE",
   "details": "Vol. 4, No. 1, pp. 24-29",
   "year": "2013",
   "type": "journal",
   "doi": "",
   "url": ""
  },
  {
   "title": "Analysis of variable-degree HDG methods for convection-diffusion equations. Part I: General nonconforming meshes",
   "authors": [
    "Y. Chen",
    "B. Cockburn"
   ],
   "venue": "IMA J. Numer. Anal.",
   "details": "Vol. 32, No. 4, pp. 1267–1293",
   "year": "2012",
   "type": "journal",
   "doi": "",
   "url": ""
  },
  {
   "title": "Certified Reduced Basis Method for Electromagnetic Scattering and Radar Cross Section Estimation",
   "authors": [
    "Y. Chen",
    "J. S. Hesthaven",
    "Y. Maday",
    "J. Rodríguez",
    "X. Zhu"
   ],
   "venue": "CMAME",
   "details": "Vol. 233, pp. 92–108",
   "year": "2012",
   "type": "journal",
   "doi": "",
   "url": ""
  },
  {
   "title": "A Seamless Reduced Basis Element Methods for 2D Maxwell's Problem: An Introduction",
   "authors": [
    "Y. Chen",
    "J. S. Hesthaven",
    "Y. Maday"
   ],
   "venue": "Spectral and High Order Methods for Partial Differential Equations, Lecture Notes in Computational Science and Engineering",
   "details": "No. 76, pp. 141–152",
   "year": "2011",
   "type": "proceedings",
   "doi": "",
   "url": ""
  },
  {
   "title": "Certified reduced basis methods and output bounds for the harmonic Maxwell's equations",
   "authors": [
    "Y. Chen",
    "J. S. Hesthaven",
    "Y. Maday",
    "J. Rodríguez"
   ],
   "venue": "Siam J. Sci. Comput.",
   "details": "Vol. 32, No. 2, pp. 970–996",
   "year": "2010",
   "type": "journal",
   "doi": "",
   "url": ""
  },
  {
   "title": "A Natural-Norm Successive Constraint Method for Inf-Sup Lower Bounds",
   "authors": [
    "D. B. P. Huynh",
    "D. J. Knezevic",
    "Y. Chen",
    "J. S. Hesthaven",
    "A. T. Patera"
   ],
   "venue": "CMAME",
   "details": "Vol. 199, pp. 1963–1975",
   "year": "2010",
   "type": "journal",
   "doi": "",
   "url": ""
  },
  {
   "title": "Improved Successive Constraint Method Based A Posteriori Error Estimate for Reduced Basis Approximation of 2D Maxwell's Problem",
   "authors": [
    "Y. Chen",
    "J. S. Hesthaven",
    "Y. Maday",
    "J. Rodríguez"
   ],
   "venue": "M2AN",
   "details": "Vol. 43, pp. 1099–1116",
   "year": "2009",
   "type": "journal",
   "doi": "",
   "url": ""
  },
  {
   "title": "A Monotonic Evaluation of Lower Bounds for Inf-Sup Stability Constants in the Frame of Reduced Basis Approximations",
   "authors": [
    "Y. Chen",
    "J. S. Hesthaven",
    "Y. Maday",
    "J. Rodríguez"
   ],
   "venue": "C. R. Acad. Sci. Paris, Ser. I",
   "details": "Vol. 346, pp. 1295–1300",
   "year": "2008",
   "type": "journal",
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 ]
}