Search Results

• Uniform Error Bounds of an Energy-Preserving Exponential Wave Integrator Fourier Pseudo-Spectral Method for the Nonlinear Schrödinger Equation with Wave Operator and Weak Nonlinearity

  Jiyong Li

  2024-11-19

  14043 1122 Pages:280-314

• Long-Time Oscillatory Energy Conservation of Total Energy-Preserving Methods for Highly Oscillatory Hamiltonian Systems

  Bin Wang, Xinyuan Wu

  2021-11-19

  41059 3881 Pages:70-88

• Two Novel Classes of Arbitrary High-Order Structure-Preserving Algorithms for Canonical Hamiltonian Systems

  Yonghui Bo, Wenjun Cai, Yushun Wang

  2023-04-25

  30893 2916 Pages:395-414

• A Linearly-Implicit Structure-Preserving Exponential Time Differencing Scheme for Hamiltonian PDEs

  Yayun Fu, Dongdong Hu, Wenjun Cai, Yushun Wang

  2024-04-09

  26574 2006 Pages:1063-1079

• A Linearly-Implicit Energy-Preserving Algorithm for the Two-Dimensional Space-Fractional Nonlinear Schrödinger Equation Based on the SAV Approach

  Yayun Fu, Wenjun Cai, Yushun Wang

  2023-05-08

  41363 3132 Pages:797-816

• The Structure-Preserving Methods for the Degasperis-Procesi Equation

  Yuze Zhang, Yushun Wang, Yanhong Yang

  2019-04-29

  41131 3194 Pages:475-487

• Invariants-Preserving Du Fort-Frankel Schemes and Their Analyses for Nonlinear Schrödinger Equations with Wave Operator

  Dingwen Deng, Zhijun Li

  2024-04-08

  19319 1950 Pages:814-850

• Energy and Quadratic Invariants Preserving Methods for Hamiltonian Systems with Holonomic Constraints

  Lei Li, Dongling Wang

  2022-12-01

  296510 3620 Pages:107-132

• A Linearly-Fitted Conservative (Dissipative) Scheme for Efficiently Solving Conservative (Dissipative) Nonlinear Wave PDEs

  Kai Liu, Xinyuan Wu, Wei Shi

  2021-07-01

  39905 3714 Pages:780-800

• Local Structure-Preserving Algorithms for the KdV Equation

  Jialing Wang, Yushun Wang

  2018-08-22

  36310 2878 Pages:289-318

• A Sixth Order Averaged Vector Field Method

  Haochen Li, Yushun Wang, Mengzhao Qin

  2018-08-22

  38101 3017 Pages:479-498

• A Multiple-Invariants Preserving Scheme for Modified Two-Component Euler-Poincaré Equations

  Boya Zhou, Ruimin Gao, Qifeng Zhang

  2026-03-02

  62 32

• A Structure-Preserving Nonconforming FEM of Nonlinear Kirchhoff-Type Equation with Damping

  Junjun Wang, Dongyang Shi, Shuo Wang, Xuesong Che

  2026-01-26

  94 58

• Exponential Fourier Collocation Methods for Solving First-Order Differential Equations

  Bin Wang, Xinyuan Wu, Fanwei Meng, Yonglei Fang

  2021-07-01

  41175 3797 Pages:711-736

• Constraint-Preserving Energy-Stable Scheme for the 2D Simplified Ericksen-Leslie System

  Xuelian Bao, Rui Chen, Hui Zhang

  2021-06-10

  43696 4491 Pages:1-21

• 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

  39687 2887 Pages:605-626

• Integrable Discretisation of the Lotka-Volterra System

  Yang He, Yajuan Sun, Zaijiu Shang

  2018-08-22

  37722 3004 Pages:468-494

• The Pressure-Robust Weak Galerkin Finite Element Method for Stokes-Darcy Problem

  Jiwei Jia, Lin Yang, Qilong Zhai

  2026-04-15

  3154 254 Pages:307-327