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• A Local Deep Learning Method for Solving High Order Partial Differential Equations

  Jiang Yang, Quanhui Zhu

  2022-02-09

  47124 4540 Pages:42-67

• On the Criteria for Online Updating of Basis Functions for Model Order Reduction Techniques

  Han Zhang, Zhiyong Wang, Zihao Mou, Taidong Niu, Helin Gong

  2025-09-01

  5091 397 Pages:619-649

• Adaptive Dimensionality-Reduction for Time-Stepping in Differential and Partial Differential Equations

  Xing Fu & J. Nathan Kutz

  2017-11-02

  39316 2657 Pages:872-894

• Machine Learning-Based Bias Correction for the GEIM Model

  Taidong Niu, Mingzhe Lyu, Helin Gong, Han Zhang, Zhang Chen, Zhiyong Wang

  2025-10-22

  5465 299 Pages:1066-1099

• Space-Time Decomposition of Kalman Filter

  Luisa D’Amore, Rosalba Cacciapuoti

  2023-11-07

  28135 2751 Pages:847-882

• Assessment of Noise Attenuation by Thin Reflecting Barriers Using Dispersion Relation Preserving Scheme

  Jitenjaya Pradhan & Yogesh G. Bhumkar

  2019-04-22

  42684 2690 Pages:942-968

• A Weak Galerkin Finite Element Method for Elliptic Interface Problems with Polynomial Reduction

  Bhupen Deka

  2018-09-17

  40295 2736 Pages:655-672