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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

  39044 3103 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

  186 67 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

  50564 3535 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

  46946 3227 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

  205 44 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

  28269 1947 Pages:1263-1286

• Computing Optimal Forcing Using Laplace Preconditioning

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

  2017-11-02

  42621 3577 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

  39104 4005 Pages:520-541

• Numerical Identification of Nonlocal Potentials in Aggregation

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

  2022-09-29

  41502 3291 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

  36233 2866 Pages:1090-1105

• Parallel Algebraic Multigrid Methods in Gyrokinetic Turbulence Simulations

  M. F. Adams & Y. Nishimura

  2007-02-01

  37195 3846 Pages:881-899

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

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

  2020-11-18

  67104 3635 Pages:1886-1906

• An FFT Based Fast Poisson Solver on Spherical Shells

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

  2011-03-05

  39245 4200 Pages:649-667