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

  212 148 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

  62596 3419 Pages:947-972

• An Improved Tokamak Sawtooth Benchmark for 3D Nonlinear MHD

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

  2008-09-05

  39014 3819 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

  46369 3577 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

  44991 3113 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

  42562 4230 Pages:1056-1080

• Integral Regularization PINNs for Evolution Equations

  Xiaodong Feng, Haojiong Shangguan, Tao Tang, Xiaoliang Wan

  2025-11-28

  919 31 Pages:356-386

• 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

  2025-11-28

  935 45 Pages:387-416

• 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

  4182 280 Pages:1498-1514

• 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

  2025-11-07

  2711 116 Pages:296-322

• 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

  431 93 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

  190 54 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

  163 58 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

  173 120 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

  38260 3072 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

  42121 4047 Pages:1368-1406

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

  A. Soba

  2009-05-01

  40024 3974 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

  38914 3901 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

  4361 412 Pages:439-466

• Dirichlet-Neumann Learning Algorithm for Solving Elliptic Interface Problems

  Qi Sun, Xuejun Xu, Haotian Yi

  2025-07-11

  5086 463 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

  28295 2001 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

  28770 1940 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

  35287 2667 Pages:938-972

• Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations

  Shi Jin, Zheng Ma, Keke Wu

  2024-04-10

  25172 2100 Pages:693-723

• Hybrid Finite Difference Fifth-Order Multi-Resolution WENO Scheme for Hamilton-Jacobi Equations

  Zhenming Wang, Jun Zhu, Linlin Tian, Ning Zhao

  2024-04-10

  24879 2145 Pages:609-632

• Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms

  Lele Liu, Hong Zhang, Xu Qian, Songhe Song

  2024-03-13

  24879 2091 Pages:498-523

• A Second-Order Implicit-Explicit Scheme for the Baroclinic-Barotropic Split System of Primitive Equations

  Rihui Lan, Lili Ju, Zhu Wang, Max Gunzburger

  2023-12-11

  32708 2551 Pages:1306-1331