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• Parametric Model Reduction with Convolutional Neural Networks

  Yumeng Wang, Shiping Zhou, Yanzhi Zhang

  2024-10-08

  12930 1022 Pages:716-738

• Reduced-Order Modeling of Burgers Equations Based on Centroidal Voronoi Tessellation

  Hyung-Chun Lee, Sung-Whan Lee, Guang-Ri Piao

  2021-11-09

  31261 2370 Pages:559-583

• Numerical Studies for an Interface Problem Involving Fourth- and Second-Order Poisson-Fermi Electrostatic Equations

  Mengjie Liu, Mingyan He, Pengtao Sun

  2025-02-20

  8463 540 Pages:226-245

• Analysis of the [$L^2$, $L^2$, $L^2$] Least-Squares Finite Element Method for Incompressible Oseen-Type Problems

  C. L. Chang & S.-Y. Yang

  2021-11-09

  30873 2357 Pages:402-424

• A Finite Element Method for Anisotropic Crystal Growth on Surfaces

  Harald Garcke, Robert Nürnberg

  2025-05-26

  7714 474 Pages:614-636

• A Posteriori Error Estimator for Spectral Approximations of Completely Continuous Operators

  Y. Yang & Q. Huang

  2006-08-01

  30180 2538 Pages:361-370

• An Efficient Multigrid Method for Ground State Solution of Bose-Einstein Condensates

  Ning Zhang, Fei Xu, Hehu Xie

  2019-08-09

  33348 2562 Pages:789-803

• Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal-Oriented a Posteriori Error Estimation

  R. Hartmann & P. Houston

  2006-03-01

  30997 2608 Pages:141-162

• Taylor Expansion Algorithm for the Branching Solution of the Navier-Stokes Equations

  K. Li & Y. He

  2005-02-01

  29903 2514 Pages:459-478

• Fourier Convergence Analysis for Fokker-Planck Equation of Tempered Fractional Langevin-Brownian Motion and Nonlinear Time Fractional Diffusion Equation

  Maoping Wang, Weihua Deng

  2025-02-20

  8552 573 Pages:268-306

• A Benchmark Calculation of 3D Horizontal Well Simulations

  Zhangxin Chen, Guanren Huan, Baoyan Li

  2004-01-01

  29791 2501 Pages:189-202

• Unconditional Energy Stability and Solvability for a C0 Interior Penalty Method for a Sixth-Order Equation Modeling Microemulsions

  Amanda E. Diegel, Natasha S. Sharma

  2023-05-22

  29389 2501 Pages:459-477

• Fast Gauss-Related Quadrature for Highly Oscillatory Integrals with Logarithm and Cauchy-Logarithmic Type Singularities

  ​Idrissa Kayijuka, Serife Muge Ege, Fatma Serap Topal, Ali Konuralp

  2021-05-25

  40659 2647 Pages:442-457

• Stability of High Order Finite Difference Schemes with Implicit-Explicit Time-Marching for Convection-Diffusion and Convection-Dispersion Equations

  Meiqi Tan, Juan Cheng, Chi-Wang Shu

  2021-03-25

  38912 2577 Pages:362-383

• Even-Odd Cycled High-Order Splitting Finite Difference Time Domain Method for Maxwell's Equations

  Maninder Sarai, Dong Liang

  2021-02-04

  33045 3346 Pages:79-99

• A Corrected Nearest Neighbor Transportation Method of Aerodynamic Force for Fluid-Structure Interactions

  Yunzhen Liu, Zhiqiang Wan, Qia Li, Qinghui Zhang

  2020-08-04

  34964 2593 Pages:746-765

• The Time High-Order Energy-Preserving Schemes for the Nonlocal Benjamin-Ono Equation

  Chunguang Chen, Dong Liang, Shusen Xie

  2020-08-04

  32070 2639 Pages:543-556

• A Finite Difference Scheme for Caputo-Fabrizio Fractional Differential Equations

  Xu Guo, Yutian Li, Tieyong Zeng

  2020-02-03

  36205 2703 Pages:195-211

• Distributed Lagrange Multiplier-Fictitious Domain Finite Element Method for Stokes Interface Problems

  Andrew Lundberg, Pengtao Sun, Cheng Wang

  2019-08-09

  35611 2666 Pages:939-963

• Application of Parallel Aggregation-Based Multigrid to High Resolution Subsurface Flow Simulations

  Meng-Huo Chen, Shuyu Sun

  2019-08-09

  34644 2647 Pages:873-890

• A New $a$ $Posteriori$ Error Estimate for the Interior Penalty Discontinuous Galerkin Method

  Wei Yang, Luling Cao, Yunqing Huang, Jintao Cui

  2019-02-22

  35763 2748 Pages:210-224

• Construction and Analysis of Weighted Sequential Splitting FDTD Methods for the 3D Maxwell's Equations

  Vrushali A. Bokil, Puttha Sakkaplangkul

  2018-08-15

  32402 2534 Pages:747-784

• A Higher-Order Ensemble/Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations

  Max Gunzburger, Nan Jiang, Michael Schneier

  2018-08-15

  32856 2472 Pages:608-627

• A Fixed-Point Proximity Approach to Solving the Support Vector Regression with the Group Lasso Regularization

  Zheng Li, Guohui Song, Yuesheng Xu

  2018-08-14

  34074 3911 Pages:154-169

• Preconditioners for PDE-Constrained Optimization Problems with Box Constraints: Towards High Resolution Inverse ECG Images

  Ole Løseth Elvetun, Bjørn Fredrik Nielsen

  2017-10-03

  32663 2607 Pages:935-962

• Nonconforming Finite Volume Methods for Second Order Elliptic Boundary Value Problems

  Yuanyuan Zhang & Zhongying Cheng

  2017-06-01

  32429 2684 Pages:381-404

• An Optimal a Posteriori Error Estimates of the Local Discontinuous Galerkin Method for the Second-Order Wave Equation in One Space Dimension

  Mahboub Baccouch

  2017-06-01

  32409 2693 Pages:355-380