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• A Symplectic Difference Scheme for the Infinite Dimensional Hamilton System

  Chun-Wang Li, Meng-Zhao Qin

  1988-06-01

  34766 3808 Pages:164-174

• Analysis of a Multi-Term Variable-Order Time-Fractional Diffusion Equation and Its Galerkin Finite Element Approximation

  Huan Liu, Xiangcheng Zheng, Hongfei Fu

  2022-10-06

  271 4 Pages:814-834

• Sharp Error Estimate of Variable Time-Step Imex BDF2 Scheme for Parabolic Integro-Differential Equations with Initial Singularity Arising in Finance

  Chengchao Zhao, Ruoyu Yang, Yana Di, Jiwei Zhang

  2025-09-28

  4345 364 Pages:1118-1140

• Error Estimates of a Class of Serendipity Virtual Element Methods for Semilinear Parabolic Integro-Differential Equations on Curved Domains

  Yang Xu, Zhenguo Zhou, Jingjun Zhao

  2025-03-17

  107 20

• A Leap Frog Finite Difference Scheme for a Class of Nonlinear Schrödinger Equations of High Order

  Wen-Ping Zeng

  1999-04-02

  32427 3331 Pages:133-138

• A Decoupled, Linearly Implicit and Unconditionally Energy Stable Scheme for the Coupled Cahn-Hilliard Systems

  Dan Zhao, Dongfang Li, Yanbin Tang, Jinming Wen

  2024-11-21

  15985 1485 Pages:708-730

• Regularity Theory and Numerical Algorithm for the Time-Fractional Klein-Kramers Equation

  Jing Sun, Daxin Nie, Weihua Deng

  2024-11-19

  13998 1108 Pages:257-279

• Error Analysis of the Second-Order Serendipity Virtual Element Method for Semilinear Pseudo-Parabolic Equations on Curved Domains

  Yang Xu, Zhenguo Zhou, Jingjun Zhao

  2024-11-13

  11709 1088 Pages:1743-1776

• Two-Grid Finite Element Method for Time-Fractional Nonlinear Schrödinger Equation

  Hanzhang Hu, Yanping Chen, Jianwei Zhou

  2024-04-09

  26445 2010 Pages:1124-1144

• A Scalar Auxiliary Variable (SAV) Finite Element Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Dynamic Boundary Conditions

  Changhui Yao, Fengdan Zhang, Cheng Wang

  2024-01-16

  25383 2169 Pages:544-569

• Banded $M$-Matrix Splitting Preconditioner for Riesz Space Fractional Reaction-Dispersion Equation

  Shiping Tang, Aili Yang, Yujiang Wu

  2024-01-16

  26239 2065 Pages:372-389

• A Direct Discontinuous Galerkin Method for Time Fractional Diffusion Equations with Fractional Dynamic Boundary Conditions

  Jingjun Zhao, Wenjiao Zhao, Yang Xu

  2023-12-01

  29491 2484 Pages:156-177

• Unconditionally Optimal Error Analysis of the Second-Order BDF Finite Element Method for the Kuramoto-Tsuzuki Equation

  Yuan Li, Xuewei Cui

  2022-11-15

  301724 3189 Pages:211-223

• A Two-Grid Finite Element Approximation for Nonlinear Time Fractional Two-Term Mixed Sub-Diffusion and Diffusion Wave Equations

  Yanping Chen, Qiling Gu, Qingfeng Li, Yunqing Huang

  2022-11-08

  302278 3757 Pages:936-954

• Unconditionally Optimal Error Estimates of the Bilinear-Constant Scheme for Time-Dependent Navier-Stokes Equations

  Huaijun Yang, Dongyang Shi

  2021-11-19

  42473 3760 Pages:127-146

• A Cell-Centered ALE Method with HLLC-2D Riemann Solver in 2D Cylindrical Geometry

  Jian Ren, Zhijun Shen, Wei Yan, Guangwei Yuan

  2021-10-15

  41272 3020 Pages:666-692

• A Mixed Virtual Element Method for the Boussinesq Problem on Polygonal meshes

  Gabriel N. Gatica, Mauricio Munar, Filánder A. Sequeira

  2021-04-07

  42802 3434 Pages:392-427

• Local Gaussian-Collocation Scheme to Approximate the Solution of Nonlinear Fractional Differential Equations Using Volterra Integral Equations

  Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan

  2020-11-04

  45521 3149 Pages:261-282

• Mixed Finite Element Methods for Fractional Navier-Stokes Equations

  Xiaocui Li, Xu You

  2021-06-10

  42232 4264 Pages:130-146

• High Order Finite Difference/Spectral Methods to a Water Wave Model with Nonlocal Viscosity

  Mohammad Tanzil Hasan, Chuanju Xu

  2020-05-19

  39338 3005 Pages:580-605

• Convergence Analysis of Parareal Algorithm Based on Milstein Scheme for Stochastic Differential Equations

  Liying Zhang, Jing Wang, Weien Zhou, Landong Liu, Li Zhang

  2020-03-24

  40193 2846 Pages:487-501

• A Fourth-Order Compact and Conservative Difference Scheme for the Generalized Rosenau-Korteweg de Vries Equation in Two Dimensions

  Jue Wang, Qingnan Zeng

  2019-04-29

  39761 2927 Pages:541-555

• Singularity-Free Numerical Scheme for the Stationary Wigner Equation

  Tiao Lu, Zhangpeng Sun

  2018-09-10

  38243 3133 Pages:170-183

• Descent Direction Stochastic Approximation Algorithm with Adaptive Step Sizes

  Zorana Lužanin, Irena Stojkovska, Milena Kresoja

  2018-08-23

  41205 5330 Pages:76-94

• Optimal Quadratic Nitsche Extended Finite Element Method for Interface Problem of Diffusion Equation

  Fei Wang, Shuo Zhang

  2018-09-17

  38864 2855 Pages:693-717

• A New Boundary Condition for Rate-Type Non-Newtonian Diffusive Models and the Stable MAC Scheme

  Kun Li, Youngju Lee, Christina Starkey

  2018-09-17

  39534 2858 Pages:605-626

• Block-Centered Finite Difference Methods for Non-Fickian Flow in Porous Media

  Xiaoli Li, Hongxing Rui

  2018-09-17

  40627 2894 Pages:492-516