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• An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation

  Zhengru Zhang & Zhonghua Qiao

  2020-07-31

  41684 4302 Pages:1261-1278

• An Explicit Multi-Time Stepping Algorithm for Multi-Time Scale Coupling Problems in SPH

  Xiaojing Tang, Dong Wu, Zhentong Wang, Oskar Haidn, Xiangyu Hu

  2024-12-02

  16166 1104 Pages:1219-1261

• A High Order Sharp-Interface Method with Local Time Stepping for Compressible Multiphase Flows

  Angela Ferrari, Claus-Dieter Munz & Bernhard Weigand

  2011-09-01

  39104 4397 Pages:205-230

• A Compact Third-Order Gas-Kinetic Scheme for Compressible Euler and Navier-Stokes Equations

  Liang Pan & Kun Xu

  2020-07-31

  38526 3047 Pages:985-1011

• Efficient High-Order Backward Difference Formulae for Cahn-Hilliard Equation with the Gradient Flow in $H^{−α}$

  Zhongqin Xue, Guanghui Wen, Zhimin Zhang, Xuan Zhao

  2024-06-14

  28384 1992 Pages:1263-1286

• Efficient Time-Stepping/Spectral Methods for the Navier-Stokes-Nernst-Planck-Poisson Equations

  Xiaoling Liu & Chuanju Xu

  2018-04-09

  41899 3392 Pages:1408-1428

• A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

  Ruihan Guo & Yan Xu

  2018-09-17

  67756 5453 Pages:123-151

• Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow

  Andrew Christlieb, Keith Promislow, Zengqiang Tan, Sulin Wang, Brian Wetton, Steven M. Wise

  2025-04-27

  9308 731 Pages:877-920 Open-access

• Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation

  Jun Luo, Lijun Xuan & Kun Xu

  2013-09-05

  40614 4609 Pages:599-620

• Stability and Conservation Properties of Collocated Constraints in Immersogeometric Fluid-Thin Structure Interaction Analysis

  David Kamensky, John A. Evans & Ming-Chen Hsu

  2020-07-31

  38542 3102 Pages:1147-1180

• High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

  Ang Li, Jiequan Li, Juan Cheng, Chi-Wang Shu

  2024-07-29

  27986 1964 Pages:1-29

• Layer-Splitting Methods for Time-Dependent Schrödinger Equations of Incommensurate Systems

  Ting Wang, Huajie Chen, Aihui Zhou, Yuzhi Zhou

  2021-10-26

  49794 3293 Pages:1474-1498

• Implementation of Finite Difference Weighted Compact Nonlinear Schemes with the Two-Stage Fourth-Order Accurate Temporal Discretization

  Zhiwei He, Fujie Gao, Baolin Tian, Jiequan Li

  2020-05-06

  49755 3666 Pages:1470-1484

• Second Order Finite Volume Scheme for Euler Equations with Gravity which is Well-Balanced for General Equations of State and Grid Systems

  Jonas P. Berberich, Praveen Chandrashekar, Christian Klingenberg & Friedrich K. Röpke

  2019-04-04

  49702 3374 Pages:599-630

• GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations

  Rajesh Gandham, David Medina & Timothy Warburton

  2018-04-03

  42479 4590 Pages:37-64

• An Efficient Finite Element Method with Exponential Mesh Refinement for the Solution of the Allen-Cahn Equation in Non-Convex Polygons

  Emine Celiker, Ping Lin

  2020-08-27

  47735 2983 Pages:1536-1560

• 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

  50226 3307 Pages:1389-1414

• Adaptive Fully Implicit Simulator with Multilevel Schwarz Methods for Gas Reservoir Flows in Fractured Porous Media

  Rui Li, Haijian Yang, Chao Yang

  2021-10-26

  47399 3248 Pages:1499-1528