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• An Asymptotic Preserving Method for the Weakly Nonlinear Klein-Gordon Equation

  Dandan Wang, Hanquan Wang

  2025-12-17

  521 186 Pages:106-128

• An Adaptive Complex Collocation Method for Solving Linear Elliptic PDEs in Regular Convex Polygons Based on the Unified Transform

  E-N G. Grylonakis, C. K. Filelis-Papadopoulos, G. A. Gravvanis, A. S. Fokas

  2018-12-17

  43250 2972 Pages:348-369

• An $h$-Adaptive Runge-Kutta Discontinuous Galerkin Method for Hamilton-Jacobi Equations

  Hongqiang Zhu, Jianxian Qiu

  2013-06-01

  40132 3988 Pages:617-636

• An Extended Two-Step Method for Inverse Eigenvalue Problems with Multiple Eigenvalues

  Yue Wang, Weiping Shen

  2023-11-07

  28051 2369 Pages:968-992

• A Convergence Analysis of a Structure-Preserving Gradient Flow Method for the All-Electron Kohn-Sham Model

  Yedan Shen, Ting Wang, Jie Zhou, Guanghui Hu

  2023-08-29

  31030 2663 Pages:597-621

• Application of Adapted-Bubbles to the Helmholtz Equation with Large Wavenumbers in 2D

  Adem Kaya

  2023-01-13

  34008 3295 Pages:26-57

• A Linearized High-Order Combined Compact Difference Scheme for Multi-Dimensional Coupled Burgers' Equations

  Buyun Chen, Dongdong He, Kejia Pan

  2018-09-17

  42343 2922 Pages:299-320

• A Mixed Analytical/Numerical Method for Velocity and Heat Transfer of Laminar Power-Law Fluids

  Botong Li, Liancun Zheng, Ping Lin, Zhaohui Wang, Mingjie Liao

  2016-09-01

  39810 2771 Pages:315-336

• A Fast Compact Block-Centered Finite Difference Method on Graded Meshes for Time-Fractional Reaction-Diffusion Equations and Its Robust Analysis

  Li Ma, Hongfei Fu, Bingyin Zhang, Shusen Xie

  2024-05-11

  21589 1689 Pages:429-462

• The Direct Method of Lines for Forward and Inverse Linear Elasticity Problems of Composite Materials in Star-Shaped Domains

  Xiaopeng Zhu, Zhizhang Wu, Zhongyi Huang

  2023-01-13

  33912 3175 Pages:242-276

• A Linear Hybridization of Dai-Yuan and Hestenes-Stiefel Conjugate Gradient Method for Unconstrained Optimization

  Sindhu Narayanan, P. Kaelo

  2021-01-26

  45900 2634 Pages:527-539

• A Splitting Collocation Method for Elliptic Interface Problems

  Hancan Zhu, Kewei Liang, Guanghua He, Jun Ying

  2018-09-17

  40653 2794 Pages:491-505

• Adaptive Parallel Primal-Dual Method for Saddle Point Problems

  Xiayang Zhang

  2018-09-17

  42550 4764 Pages:187-210

• Locally Optimal Preconditioned Conjugate Gradient Method for Computing Ground State of Space-Fractional Nonlinear Schrödinger Equation

  Biyun Zhu, Aiguo Xiao, Xueyang Li

  2026-01-26

  186 209

• Efficient and Accurate Numerical Methods Using the Accelerated Spectral Deferred Correction for Solving Fractional Differential Equations

  Xuejuan Chen, Zhiping Mao, George Em Karniadakis

  2023-01-21

  37667 3011 Pages:876-902

• A Robust Modified Weak Galerkin Finite Element Method for Reaction-Diffusion Equations

  Guanrong Li, Yanping Chen, Yunqing Huang

  2022-02-09

  45160 3972 Pages:68-90

• Spectral Deferred Correction Methods for Fractional Differential Equations

  Chunwan Lv, Mejdi Azaiez, Chuanju Xu

  2021-01-13

  44954 2896 Pages:729-751

• A Two-Step Method Based on Plane Wave for Nonhomogeneous Helmholtz Equations in Inhomogeneous Media

  Qiya Hu, Lin Zhao

  2018-09-17

  41092 2794 Pages:453-476

• Alternating Direction Implicit Galerkin Finite Element Method for the Two-Dimensional Time Fractional Evolution Equation

  Limei Li, Da Xu

  2014-07-01

  41272 4191 Pages:41-57

• A Numerical Study of Blowup in the Harmonic Map Heat Flow Using the MMPDE Moving Mesh Method

  Ronald D. Haynes, Weizhang Huang, Paul A. Zegeling

  2013-06-01

  39383 3648 Pages:364-383

• An Efficient Numerical Method for the Quintic Complex Swift-Hohenberg Equation

  Hanquan Wang, Lina Yanti

  2011-04-01

  39742 3846 Pages:237-254

• A Power Penalty Approach to Numerical Solutions of Two-Asset American Options

  K. Zhang, S. Wang, X. Q. Yang, K. L. Teo

  2009-02-01

  39385 3775 Pages:202-223

• L1/Local Discontinuous Galerkin Method for the Time-Fractional Stokes Equation

  Changpin Li, Zhen Wang

  2023-01-21

  38028 3030 Pages:1099-1127

• A Splitting Scheme for the Numerical Solution of the KWC System

  R. H. W. Hoppe, J. J. Winkle

  2019-04-22

  54521 3037 Pages:661-680

• Numerical Approximation to a Stochastic Parabolic PDE with Weak Galerkin Method

  Hongze Zhu, Yongkui Zou, Shimin Chai, Chenguang Zhou

  2018-09-17

  41833 2769 Pages:604-617

• A Sequential Least Squares Method for Elliptic Equations in Non-Divergence Form

  Ruo Li, Fanyi Yang

  2021-09-10

  46407 2605 Pages:1042-1067

• A Parameterized Class of Complex Nonsymmetric Algebraic Riccati Equations

  Liqiang Dong, Jicheng Li, Xuenian Liu

  2021-06-02

  47743 2868 Pages:650-691