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• Computing the Ground and First Excited States of the Fractional Schrödinger Equation in an Infinite Potential Well

  Siwei Duo, Yanzhi Zhang

  2018-04-03

  39193 3164 Pages:321-350

• A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains

  Liwei Tan, Minsheng Huang, Wenjun Ying

  2024-09-06

  20220 1586 Pages:485-520

• An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise

  2019-08-27

  50869 3662 Pages:1335-1364

• A Conservative Numerical Method for the Cahn–Hilliard Equation with Generalized Mobilities on Curved Surfaces in Three-Dimensional Space

  Darae Jeong, Yibao Li, Chaeyoung Lee, Junxiang Yang, Junseok Kim

  2019-12-07

  47167 3305 Pages:412-430

• A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications

  Xinyu Liu, Jie Shen, Xiangxiong Zhang

  2024-12-02

  17135 1401 Pages:1157-1185

• Efficient High-Order Backward Difference Formulae for Cahn-Hilliard Equation with the Gradient Flow in $H^{−α}$

  Zhongqin Xue, Guanghui Wen, Zhimin Zhang, Xuan Zhao

  2024-06-14

  28521 2038 Pages:1263-1286

• Computing Optimal Forcing Using Laplace Preconditioning

  M. Brynjell-Rahkola, L. S. Tuckerman, P. Schlatter, D. S. Henningson

  2017-11-02

  42781 3621 Pages:1508-1532

• Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media Using Compact High Order Schemes

  Steven Britt, Semyon Tsynkov, Eli Turkel

  2011-03-05

  39241 4060 Pages:520-541

• Numerical Identification of Nonlocal Potentials in Aggregation

  Yuchen He, Sung Ha Kang, Wenjing Liao, Hao Liu, Yingjie Liu

  2022-09-29

  41707 3351 Pages:638-670

• An Efficient Neural-Network and Finite-Difference Hybrid Method for Elliptic Interface Problems with Applications

  Wei-Fan Hu, Te-Sheng Lin, Yu-Hau Tseng, Ming-Chih Lai

  2023-05-12

  36490 2925 Pages:1090-1105

• Parallel Algebraic Multigrid Methods in Gyrokinetic Turbulence Simulations

  M. F. Adams, Y. Nishimura

  2007-02-01

  37326 3892 Pages:881-899

• Score-fPINN: Fractional Score-Based Physics-Informed Neural Networks for High-Dimensional Fokker-Planck-Lévy Equations

  Zheyuan Hu, Zhongqiang Zhang, George Em Karniadakis, Kenji Kawaguchi

  2026-04-10

  16 9 Pages:1-26

• A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

  Xi-An Li, Zhi-Qin John Xu, Lei Zhang

  2020-11-18

  67411 3702 Pages:1886-1906

• An FFT Based Fast Poisson Solver on Spherical Shells

  Yin-Liang Huang, Jian-Guo Liu, Wei-Cheng Wang

  2011-03-05

  39413 4249 Pages:649-667