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• Fluid Structure Interaction Problems: The Necessity of a Well Posed, Stable and Accurate Formulation

  Jan Nordström & Sofia Eriksson

  2010-08-01

  40916 4039 Pages:1111-1138

• Stability Analysis of the Immersed Boundary Method for a Two-Dimensional Membrane with Bending Rigidity

  Zhaoxin Gong, Huaxiong Huang & Chuanjing Lu

  2008-03-01

  38661 3806 Pages:704-723

• Modelling of Compressible Multi-Component Two-Phase Flow with Multi-Component Navier Boundary Condition

  Junkai Wang, Qiaolin He

  2024-10-29

  145 50 Pages:1053-1089

• An Unconditionally Energy-Stable and Orthonormality-Preserving Scheme for the Kohn-Sham Gradient Flow Based Model Based on a Tetrahedral Spectral Element Method

  Hongfei Zhan, Ting Wang, Guanghui Hu

  2025-04-27

  201 53 Pages:921-941

• A New Coupled Complex Boundary Method for Bioluminescence Tomography

  Rongfang Gong, Xiaoliang Cheng & Weimin Han

  2018-04-03

  40572 5161 Pages:226-250

• A Fast Semi-Implicit Level Set Method for Curvature Dependent Flows with an Application to Limit Cycles Extraction in Dynamical Systems

  Guoqiao You & Shingyu Leung

  2018-04-03

  42502 5226 Pages:203-229

• A High Order Spectral Volume Formulation for Solving Equations Containing Higher Spatial Derivative Terms II: Improving the Third Derivative Spatial Discretization Using the LDG2 Method

  Ravi Kannan

  2012-12-01

  40315 3819 Pages:767-788

• Double Exchange Model in Triangular Lattice Studied by Truncated Polynomial Expansion Method

  Gui-Ping Zhang

  2011-10-01

  37494 3904 Pages:422-432

• Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations I: A Dual-Consistent DWR-Based $h$-Adaptive Newton-GMG Solver

  Jingfeng Wang, Guanghui Hu

  2024-04-10

  24474 2147 Pages:579-608 Open-access

• A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

  Weiwen Wang, Chuanju Xu

  2023-03-13

  40289 3292 Pages:477-510

• Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model

  Guo-Dong Zhang, Xiaofeng Yang

  2021-07-01

  48341 3264 Pages:771-798

• A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations

  Yaoyao Chen, Yunqing Huang, Nianyu Yi

  2021-02-25

  47818 3389 Pages:1186-1212

• A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

  Yonghong Hao, Qiumei Huang, Cheng Wang

  2021-01-13

  47156 3442 Pages:905-929

• Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model

  Yuzhe Qin, Zhen Xu, Hui Zhang, Zhengru Zhang

  2020-08-27

  50113 3275 Pages:1389-1414

• 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

• Collocation Methods for Cauchy Problems of Elliptic Operators via Conditional Stabilities

  Siqing Li & Leevan Ling

  2019-04-28

  45793 3059 Pages:785-808

• Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

  Ruihan Guo & Yan Xu

  2019-02-25

  50135 5247 Pages:87-113

• A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection

  Lizhen Chen, Jia Zhao & Yuezheng Gong

  2018-12-08

  48949 3633 Pages:1024-1044

• Hopf Bifurcation and Time Periodic Orbits with pde2path – Algorithms and Applications

  Hannes Uecker

  2018-11-09

  48187 3419 Pages:812-852

• On Linear and Unconditionally Energy Stable Algorithms for Variable Mobility Cahn-Hilliard Type Equation with Logarithmic Flory-Huggins Potential

  Xiaofeng Yang & Jia Zhao

  2018-11-09

  49944 3455 Pages:703-728

• Effective Time Step Analysis of a Nonlinear Convex Splitting Scheme for the Cahn–Hilliard Equation

  Seunggyu Lee & Junseok Kim

  2018-10-11

  44485 3425 Pages:448-460

• Minimum Energy Conformations of Self-Interacting Polymer Chains via Multipopulation Genetic Algorithms (MpGA)

  Luis Olivares-Quiroz, Marcos A. González-Olvera

  2018-09-17

  46776 3188 Pages:810-829

• On the Stability and Accuracy of the BGK, MRT and RLB Boltzmann Schemes for the Simulation of Turbulent Flows

  Patrick Nathen, Daniel Gaudlitz, Mathias J. Krause & Nikolaus A. Adams

  2018-08-21

  53814 3202 Pages:846-876

• Particle-Based Modeling of Asymmetric Flexible Fibers in Viscous Flows

  Xiufeng Yang & Moubin Liu

  2017-10-02

  45027 4152 Pages:1015-1027

• Numerical Analysis of Inverse Elasticity Problem with Signorini's Condition

  Cong Zheng, Xiaoliang Cheng & Kewei Liang

  2018-04-04

  40514 3178 Pages:1045-1070

• On the Stability and CPU Time of the Implicit Runge-Kutta Schemes for Steady State Simulations

  Yongle Du & John A. Ekaterinaris

  2018-04-04

  39615 3118 Pages:486-511

• Simulation of Wave-Flow-Cavitation Interaction Using a Compressible Homogenous Flow Method

  J. G. Zheng, B. C. Khoo & Z. M. Hu

  2014-08-05

  40457 4174 Pages:328-354