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• Analysis of Weakly Nonlinear Evolution Characteristics of Flow in the Constant Curvature Bend

  Bin Li, Haijue Xu, Yuchuan Bai, Ziqing Ji

  2023-12-21

  25375 2435 Pages:101-121

• Size-Dependent Geometrically Nonlinear Free Vibration of First-Order Shear Deformable Piezoelectric-Piezomagnetic Nanobeams Using the Nonlocal Theory

  Raheb Gholami, Reza Ansari

  2018-09-17

  45228 5044 Pages:184-208

• An Efficient and Unconditionally Convergent Galerkin Finite Element Method for the Nonlinear Schrödinger Equation in High Dimensions

  Yue Cheng, Tingchun Wang, Boling Guo

  2021-04-13

  63075 4103 Pages:735-760

• An Analytical Solution for Nonlinear Vibration Analysis of Functionally Graded Rectangular Plate in Contact with Fluid

  Soheil Hashemi, Ali Asghar Jafari

  2021-04-13

  45847 3239 Pages:914-941

• Bifurcation and Chaos of Functionally Graded Carbon Nanotube Reinforced Composite Beam with Piezoelectric Layer

  Jinhua Yang, Gaofeng Sun, Jie Yang

  2020-12-21

  46420 3161 Pages:569-589

• An $h$-Adaptive Finite Element Solution of the Relaxation Non-Equilibrium Model for Gravity-Driven Fingers

  Huanying Bian, Yedan Shen, Guanghui Hu

  2021-11-17

  49742 4055 Pages:1418-1440

• WENO Interpolation-Based and Upwind-Biased Free-Stream Preserving Nonlinear Schemes

  Qin Li, Sun Dong, Fengyuan Xu

  2021-11-17

  49717 4138 Pages:1441-1484

• Nonlinear Vertical Vibration of Tension Leg Platforms with Homotopy Analysis Method

  Arash Reza, Hamid M. Sedighi

  2018-05-05

  41689 3224 Pages:357-368

• Stability of Atomic Simulations with Matching Boundary Conditions

  Shaoqiang Tang, Songsong Ji

  2014-06-01

  42782 4372 Pages:539-551

• Nonlinear Vibration Analysis of Functionally Graded Nanobeam Using Homotopy Perturbation Method

  Majid Ghadiri, Mohsen Safi

  2018-05-05

  43800 4682 Pages:144-156

• A Reconstructed Discontinuous Approximation to Monge-Ampère Equation in Least Square Formulation

  Ruo Li, Fanyi Yang

  2023-06-21

  38551 3290 Pages:1109-1141

• A Coiflet Wavelet Homotopy Technique for Nonlinear PDEs: Application to the Extreme Bending of Orthotropic Plate with Forced Boundary Constraints

  Qiang Yu, Shuaimin Wang, Junfeng Xiao, Hang Xu

  2023-10-11

  31107 2809 Pages:1473-1514

• Avoiding Small Denominator Problems by Means of the Homotopy Analysis Method

  Shijun Liao

  2022-12-13

  42283 3815 Pages:267-299 Open-access

• A Reduced Basis Method for the Nonlinear Poisson-Boltzmann Equation

  Lijie Ji, Yanlai Chen, Zhenli Xu

  2019-06-24

  46616 3274 Pages:1200-1218

• A Hybrided Trapezoidal-Difference Scheme for Nonlinear Time-Fractional Fourth-Order Advection-Dispersion Equation Based on Chebyshev Spectral Collocation Method

  Shichao Yi, Hongguang Sun

  2019-01-04

  46701 4540 Pages:197-215

• Improved Symmetry Property of High Order Weighted Essentially Non-Oscillatory Finite Difference Schemes for Hyperbolic Conservation Laws

  Wai Sun Don, Peng Li, Kwun Ying Wong, Zhen Gao

  2021-07-01

  56573 4623 Pages:1418-1439

• HAM-Schrödingerisation: A Generic Framework of Quantum Simulation for Any Nonlinear PDEs

  Shijun Liao

  2026-02-01

  5612 562 Pages:1-10

• Efficient and Stable Exponential Runge-Kutta Methods for Parabolic Equations

  Liyong Zhu

  2018-05-05

  43535 4784 Pages:157-172