Search Results

• 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

• 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

• An Improved Tokamak Sawtooth Benchmark for 3D Nonlinear MHD

  J. A. Breslau, C. R. Sovinec & S. C. Jardin

  2008-09-05

  39074 3836 Pages:647-658

• Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes

  Jea-Hyun Park, Abner J. Salgado, Steven M. Wise

  2023-03-13

  46477 3605 Pages:367-398

• Upwind Biased Local RBF Scheme with PDE Centres for the Steady Convection Diffusion Equations with Continuous and Discontinuous Boundary Conditions

  K. Monysekar, Y. V. S. S. Sanyasiraju

  2019-12-07

  45099 3142 Pages:460-479

• A Parallel Computational Model for Three-Dimensional, Thermo-Mechanical Stokes Flow Simulations of Glaciers and Ice Sheets

  Wei Leng, Lili Ju, Max Gunzburger & Stephen Price

  2014-10-08

  42614 4255 Pages:1056-1080

• The First- and Second-Order Energy Stable, Mass Conservative and Bounds-Preserving Schemes for Two-Phase Incompressible Flow with Rock Compressibility

  Yujing Yan, Huangxin Chen, Xiaoli Li

  2026-01-18

  263 83 Pages:1332-1362

• Scale-Decomposed Physics-Informed Neural Networks for Singular Perturbation Problems

  Lei Zhang, Guowei He

  2026-01-18

  368 76 Pages:1267-1298

• Structure-Preserving SAV-RK$s$ Spectral Methods for Nonlinear Hamiltonian System

  Jie Shen, Lianpeng Xue, Qifeng Zhang

  2026-01-03

  1767 120 Pages:661-695

• A Novel High-Order Shock-Capturing Limiter for RKDG Method on Unstructured Meshes via TENO Selection Strategies

  Haohan Huang, Tian Liang, Mingduo Yuan, Lin Fu

  2026-02-15

  3822 156 Pages:387-416

• Integral Regularization PINNs for Evolution Equations

  Xiaodong Feng, Haojiong Shangguan, Tao Tang, Xiaoliang Wan

  2026-02-15

  3808 139 Pages:356-386

• RBMD: A Molecular Dynamics Package Enabling to Simulate 10 Million All-Atom Particles in a Single Graphics Processing Unit

  Weihang Gao, Teng Zhao, Yongfa Guo, Jiuyang Liang, Huan Liu, Maoying Luo, Zedong Luo, Wei Qin, Yichao Wang, Qi Zhou, Shi Jin, Zhenli Xu

  2026-01-15

  3181 224 Pages:296-322

• An Efficient Numerical Algorithm for Solving Coupled Time-Dependent Ginzburg-Landau Equation for Superconductivity and Elasticity

  Qingguo Hong, Limin Ma, Daniel Fortino, Long-Qing Chen, Jinchao Xu

  2025-09-18

  4409 329 Pages:1498-1514

• Adaptive Interface-PINNs (AdaI-PINNs): An Efficient Physics-Informed Neural Networks Framework for Interface Problems

  Sumanta Roy, Chandrasekhar Annavarapu, Pratanu Roy, Antareep Kumar Sarma

  2025-09-02

  10567 630 Pages:603-622

• A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows

  Lei Xu, Rongliang Chen, Xiao-Chuan Cai

  2025-09-02

  11713 842 Pages:547-574

• A New Class of Very-High-Order Finite Difference TENO Schemes with Discontinuity-Resolving Property for Compressible Euler Equations

  Tian Liang, Lin Fu

  2024-10-09

  16850 1209 Pages:618-650

• Development of a Less Dissipative Interface Variable Reconstruction to Solve the Euler Equations by Q Learning Method

  Shing-Ian Huang, Sheng Chang Wu, Tsung-Yu Yang, Chi-Heng Ting, Yi-Jhen Wu, Yang-Yao Niu

  2024-07-29

  24006 1709 Pages:160-199

• A Comparative Study of LBE and DUGKS Methods for Nearly Incompressible Flows

  Peng Wang, Lianhua Zhu, Zhaoli Guo & Kun Xu

  2018-04-02

  38332 3106 Pages:657-681

• Dimension-Reduced Hyperbolic Moment Method for the Boltzmann Equation with BGK-Type Collision

  Zhenning Cai, Yuwei Fan, Ruo Li & Zhonghua Qiao

  2014-05-05

  42193 4085 Pages:1368-1406

• A Finite Element Method Solver for Time-Dependent and Stationary Schrödinger Equations with a Generic Potential

  A. Soba

  2009-05-01

  40114 3996 Pages:914-927

• Two-Fluid Formulation of Lower-Hybrid Drift Instabilities in Current-Sheet Equilibrium with a Guide Field

  W. Zhang, Z. Lin, P. H. Yoon & X. Wang

  2008-09-05

  38994 3930 Pages:719-728

• New 3D Benchmark for CFD-Codes Based on Analytical Solution of Spherically-Symmetric Gas Free Expansion

  Maxim Davydov, Olga Stoyanovskaya, Tatiana Savvateeva, Valeriy Snytnikov

  2025-08-08

  4507 445 Pages:439-466

• Dirichlet-Neumann Learning Algorithm for Solving Elliptic Interface Problems

  Qi Sun, Xuejun Xu, Haotian Yi

  2025-07-11

  5279 579 Pages:248-284

• A Data-Driven Scale-Invariant Weighted Compact Nonlinear Scheme for Hyperbolic Conservation Laws

  Zixuan Zhang, Yidao Dong, Yuanyang Zou, Hao Zhang, Xiaogang Deng

  2024-05-06

  28423 2043 Pages:1120-1154

• Unconstrained ETD Methods on the Diffuse-Interface Model with the Peng-Robinson Equation of State

  Menghuo Chen, Yuanqing Wu, Xiaoyu Feng, Shuyu Sun

  2024-05-06

  28881 1965 Pages:973-1002

• Finite-Volume TENO Scheme with a New Cell-Interface Flux Evaluation Strategy for Unstructured Meshes

  Tian Liang, Lin Fu

  2024-05-06

  35407 2706 Pages:938-972

• Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations

  Shi Jin, Zheng Ma, Keke Wu

  2024-04-10

  25337 2147 Pages:693-723