Search Results

• High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics

  Jon Matteo Church, Zhenlin Guo, Peter K. Jimack, Anotida Madzvamuse, Keith Promislow, Brian Wetton, Steven M. Wise, Fengwei Yang

  2019-07-02

  62771 3451 Pages:947-972

• A Hybrid Method with TENO Based Discontinuity Indicator for Hyperbolic Conservation Laws

  Lin Fu

  2019-07-02

  48541 3257 Pages:973-1007

• Linear and Unconditionally Energy Stable Schemes for the Multi-Component Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State

  Chenfei Zhang, Hongwei Li, Xiaoping Zhang, Lili Ju

  2019-07-02

  46063 3305 Pages:1071-1097

• Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity

  Weizhu Bao, Yue Feng, Wenfan Yi

  2019-08-27

  48115 3492 Pages:1307-1334

• Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schrödinger Equations

  Xiaobing Feng, Hailiang Liu, Shu Ma

  2019-08-27

  49023 3534 Pages:1365-1396

• An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy

  Qiong-Ao Huang, Wei Jiang, Jerry Zhijian Yang

  2019-08-27

  48907 3554 Pages:1444-1470

• Energy Law Preserving Finite Element Scheme for the Cahn-Hilliard Equation with Dynamic Boundary Conditions

  Na Li, Ping Lin, Fuzheng Gao

  2019-08-27

  46481 4275 Pages:1490-1509

• High Order Arbitrary Lagrangian-Eulerian Finite Difference WENO Scheme for Hamilton-Jacobi Equations

  Yue Li, Juan Cheng, Yinhua Xia, Chi-Wang Shu

  2019-08-27

  47237 3332 Pages:1530-1574

• A Conservative Numerical Method for the Cahn–Hilliard Equation with Generalized Mobilities on Curved Surfaces in Three-Dimensional Space

  Darae Jeong, Yibao Li, Chaeyoung Lee, Junxiang Yang, Junseok Kim

  2019-12-07

  47064 3263 Pages:412-430

• Simulation of Liquid Metal Droplets from Field Emission

  A. VanderWyst, A. Christlieb, M. Sussman & I. D. Boyd

  2007-02-01

  38801 3962 Pages:640-661

• A Consistency Study of Coarse-Grained Dynamical Chains through a Nonlinear Wave Equation of Mixed Type

  Mingjie Liao, Ping Lin

  2020-07-30

  43446 3599 Pages:921-948

• Troubled-Cell Indicator Based on Mean Value Property for Hybrid WENO Schemes

  Kunmin Sung, Youngsoo Ha, Myungjoo Kang

  2020-02-23

  50079 3333 Pages:949-975

• Explicit Computation of Robin Parameters in Optimized Schwarz Waveform Relaxation Methods for Schrödinger Equations Based on Pseudodifferential Operators

  Xavier Antoine, Emmanuel Lorin

  2020-02-23

  47689 3315 Pages:1032-1052

• 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

• A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

  Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang

  2020-07-21

  49304 3241 Pages:967-998

• Convolution Neural Network Shock Detector for Numerical Solution of Conservation Laws

  Zheng Sun, Shuyi Wang, Lo-Bin Chang, Yulong Xing, Dongbin Xiu

  2020-11-18

  63919 3589 Pages:2075-2108

• Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning

  Yufei Wang, Ziju Shen, Zichao Long, Bin Dong

  2020-11-18

  62489 3448 Pages:2158-2179

• Discrete-Velocity Vector-BGK Models Based Numerical Methods for the Incompressible Navier-Stokes Equations

  Jin Zhao

  2020-12-02

  47987 3299 Pages:420-444

• A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

  Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson

  2021-02-25

  48435 3403 Pages:979-1029

• Arbitrarily High-Order (Weighted) Essentially Non-Oscillatory Finite Difference Schemes for Anelastic Flows on Staggered Meshes

  Siddhartha Mishra, Carlos Parés-Pulido, Kyle G. Pressel

  2021-03-24

  44948 3316 Pages:1299-1335

• Construction of the Local Structure-Preserving Algorithms for the General Multi-Symplectic Hamiltonian System

  Jialing Wang, Yushun Wang, Dong Liang

  2020-07-30

  44728 3715 Pages:828-860

• Explicit Multi-Symplectic Methods for Hamiltonian Wave Equations

  J. Hong, S. Jiang, C. Li & H. Liu

  2007-02-01

  39080 3955 Pages:662-683

• IMEX Large Time Step Finite Volume Methods for Low Froude Number Shallow Water Flows

  Georgij Bispen, K. R. Arun, Mária Lukáčová-Medvid'ová & Sebastian Noelle

  2014-08-03

  42362 4024 Pages:307-347

• Further Study on Errors in Metric Evaluation by Linear Upwind Schemes with Flux Splitting in Stationary Grids

  Qin Li, Dong Sun, Pengxin Liu

  2019-10-31

  41807 4168 Pages:64-94

• Lagrangian Mesh Model with Regridding for Planar Poiseuille Flow

  Jingxuan Zhuo, Ricardo Cortez, Robert Dillon

  2019-10-31

  41689 4575 Pages:112-132

• Implicit Asymptotic Preserving Method for Linear Transport Equations

  Qin Li, Li Wang

  2019-10-31

  42180 4380 Pages:157-181

• A Moving-Least-Square Immersed Boundary Method for Rigid and Deformable Boundaries in Viscous Flow

  Duc-Vinh Le & Boo-Cheong Khoo

  2017-10-02

  43574 3229 Pages:913-934