Search Results

• Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains

  Jihong Wang, Xin Wang, Jing Li, Bin Liu

  2025-05-29

  8885 481 Pages:1383-1416

• 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

• 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

• Implementation of 2D Domain Decomposition in the UCAN Gyrokinetic Particle-in-Cell Code and Resulting Performance of UCAN2

  Jean-Noel G. Leboeuf, Viktor K. Decyk, David E. Newman & Raul Sanchez

  2018-04-03

  40280 4682 Pages:205-225

• Piecewise Polynomial Mapping Method and Corresponding WENO Scheme with Improved Resolution

  Qin Li, Pengxin Liu & Hanxin Zhang

  2020-07-30

  39710 3230 Pages:1417-1444

• GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations

  Rajesh Gandham, David Medina & Timothy Warburton

  2018-04-03

  42479 4590 Pages:37-64

• Fourth Order Exponential Time Differencing Method with Local Discontinuous Galerkin Approximation for Coupled Nonlinear Schrödinger Equations

  X. Liang, A. Q. M. Khaliq & Y. Xing

  2020-07-30

  39993 3001 Pages:510-541

• A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure

  José A. Carrillo, Alina Chertock, Yanghong Huang

  2018-04-02

  42015 4550 Pages:233-258

• Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation

  Yan Xu & Chi-Wang Shu

  2011-10-01

  37356 4007 Pages:474-508

• The Riemann Problem for the Dispersive Nonlinear Shallow Water Equations

  Giovanna Grosso, Matteo Antuono & Eleuterio Toro

  2010-07-01

  41484 4330 Pages:64-102

• A Macro Projective Integration Method in 2D Microscopic System Applied to Nonlinear Ion Acoustic Waves in a Plasma

  A. M. Maluckov, S. Ishiguro, M. M. Škorić

  2008-09-05

  39205 3867 Pages:556-574

• Gyrokinetic Particle Simulation of Compressional Electromagnetic Modes

  H. Qu & Z. Lin

  2008-09-05

  39081 4135 Pages:519-536

• Error Analysis of the Supplementary Variable Method for the Allen-Cahn Model

  Xuehua Song, Binquan Ji, Yuezheng Gong, Yushun Wang

  2025-08-23

  6455 465 Pages:684-710

• Low-Dissipation Central-Upwind Schemes for Elasticity in Heterogeneous Media

  Alexander Kurganov, Zepei Liu, Michael Pollack, Ruixiao Xin

  2025-07-11

  5127 556 Pages:156-180

• A Causality-DeepONet for Causal Responses of Linear Dynamical Systems

  Lizuo Liu, Kamaljyoti Nath, Wei Cai

  2024-06-14

  36253 1846 Pages:1194-1228

• A Model-Data Asymptotic-Preserving Neural Network Method Based on Micro-Macro Decomposition for Gray Radiative Transfer Equations

  Hongyan Li, Song Jiang, Wenjun Sun, Liwei Xu, Guanyu Zhou

  2024-06-14

  36696 1938 Pages:1155-1193

• 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

• Analysis of a Mixed Finite Element Method for Stochastic Cahn-Hilliard Equation with Multiplicative Noise

  Yukun Li, Corey Prachniak, Yi Zhang

  2024-05-06

  27937 1985 Pages:1003-1028

• A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential

  Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, Xiaoming Wang

  2024-04-10

  24996 2136 Pages:633-661

• 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

  24991 2119 Pages:498-523

• High-Order Adaptive Dissipation Scheme Based on Vortex Recognition for Compressible Turbulence Flow

  Jiahong Cai, Shengye Wang, Wei Liu

  2024-03-13

  26146 2173 Pages:395-426

• Analysis of Discontinuity Detectors and Hybrid WCNS Schemes Based on Waveform Recognition

  Hao Zhang, Yidao Dong, Shichao Zheng, Xiaogang Deng

  2023-09-04

  34179 2696 Pages:418-455

• Numerical Solution of the Incompressible Navier-Stokes Equation by a Deep Branching Algorithm

  Jiang Yu Nguwi, Guillaume Penent, Nicolas Privault

  2023-09-04

  33490 2855 Pages:261-289

• A Five-Point TENO Scheme with Adaptive Dissipation Based on a New Scale Sensor

  Haohan Huang, Tian Liang, Lin Fu

  2023-05-12

  36116 2926 Pages:1106-1131

• Band Structure Calculations of Dispersive Photonic Crystals in 3D Using Holomorphic Operator Functions

  Wenqiang Xiao, Bo Gong, Junshan Lin, Jiguang Sun

  2023-03-13

  37684 3066 Pages:628-646

• Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell

  Meng Zhao, Pedro Anjos, John Lowengrub, Wenjun Ying, Shuwang Li

  2023-03-13

  39288 3284 Pages:399-424

• 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