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• An $hp$-Adaptive Minimum Action Method Based on a Posteriori Error Estimate

  Xiaoliang Wan, Bin Zheng, Guang Lin

  2018-08-21

  47020 3164 Pages:408-439

• Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations I: A Dual-Consistent DWR-Based $h$-Adaptive Newton-GMG Solver

  Jingfeng Wang, Guanghui Hu

  2024-04-10

  24698 2292 Pages:579-608 Open-access

• Error Control in Multi-Element Generalized Polynomial Chaos Method for Elliptic Problems with Random Coefficients

  Xiaoliang Wan, George Em Karniadakis

  2018-04-11

  41373 3603 Pages:793-820

• Adaptivity and a Posteriori Error Control for Bifurcation Problems I: The Bratu Problem

  K. Andrew Cliffe, Edward J. C. Hall, Paul Houston, Eric T. Phipps, Andrew G. Salinger

  2010-08-01

  40326 3887 Pages:845-865

• Numerical Entropy and Adaptivity for Finite Volume Schemes

  Gabriella Puppo, Matteo Semplice

  2011-10-01

  38818 4148 Pages:1132-1160

• Computation of Two-Phase Biomembranes with Phase Dependent Material Parameters Using Surface Finite Elements

  Charles M. Elliott, Bjoern Stinner

  2018-03-27

  39205 4128 Pages:325-360

• A Biological Model of Acupuncture and Its Derived Mathematical Modeling and Simulations

  Marc Thiriet, Yannick Deleuze, Tony Wen-Hann Sheu

  2020-07-31

  38750 3034 Pages:831-849

• Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation

  Fuesheng Luo, Tao Tang, Hehu Xie

  2020-07-31

  41354 4413 Pages:1542-1563 Open-access

• An Online Generalized Multiscale Discontinuous Galerkin Method (GMsDGM) for Flows in Heterogeneous Media

  Eric T. Chung, Yalchin Efendiev, Wing Tat Leung

  2018-04-08

  42275 3319 Pages:401-422

• An r-Adaptive Finite Element Method for the Solution of the Two-Dimensional Phase-Field Equations

  G. Beckett, J. A. Mackenzie, M. L. Robertson

  2006-01-01

  39529 3964 Pages:805-826

• Some Random Batch Particle Methods for the Poisson-Nernst-Planck and Poisson-Boltzmann Equations

  Lei Li, Jian-Guo Liu, Yijia Tang

  2022-07-06

  43767 3743 Pages:41-82

• A NURBS-Enhanced Finite Volume Method for Steady Euler Equations with Goal-Oriented $h$-Adaptivity

  Xucheng Meng, Guanghui Hu

  2022-08-11

  303192 3883 Pages:490-523 Open-access

• Galerkin Spectral Method Applied to the Chemical Master Equation

  Stefan Engblom

  2009-05-01

  38843 4109 Pages:871-896

• Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations

  Yan Xu, Chi-Wang Shu

  2010-07-01

  42249 4900 Pages:1-46 Open-access

• Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation

  Yan Xu, Chi-Wang Shu

  2011-10-01

  37441 4044 Pages:474-508

• A Minimum Action Method with Optimal Linear Time Scaling

  Xiaoliang Wan

  2020-07-30

  39801 3357 Pages:1352-1379

• Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations II: A CNNs-Based Automatic Implementation

  Jingfeng Wang, Guanghui Hu

  2026-01-03

  1908 78 Pages:884-918

• An Adjoint-Based h-Adaptive Reconstructed Discontinuous Galerkin Method for the Steady-State Compressible Euler Equations

  Jian Cheng, Shengjiao Yu, Huiqiang Yue, Tiegang Liu

  2019-04-28

  47129 3259 Pages:855-879