Search Results

• 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

• An Efficient Reduced-Order Model Based on Dynamic Mode Decomposition for Parameterized Spatial High-Dimensional PDEs

  Yifan Lin, Xiang Sun, Jie Nie, Yuanhong Chen, Zhen Gao

  2025-09-02

  11746 904 Pages:575-602

• Application of Gas-Kinetic Unified Algorithm for Solving Boltzmann Model Equation with Vibrational Energy Excitation

  Fan Li, Zhi-Hui Li, Jia-Zhi Hu, Wen-Qiang Hu

  2025-01-22

  15379 879 Pages:250-288

• Fast Solver for the Local Discontinuous Galerkin Discretization of the KdV Type Equations

  Ruihan Guo & Yan Xu

  2020-07-30

  40305 3095 Pages:424-457

• 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

• A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions

  Yaqin Zhang, Ke Li, Zhipeng Chang, Xuejiao Liu, Yunqing Huang, Xueshuang Xiang

  2025-07-11

  5235 749 Pages:181-222

• An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies

  Aashish Goyal, Anthony Wachs

  2023-11-08

  31660 2601 Pages:1079-1132

• A Well-Balanced Partial Relaxation Scheme for the Two-Dimensional Saint-Venant System

  Xi Chen, Alexander Kurganov

  2023-06-06

  37634 2766 Pages:1432-1465

• A One-Dimensional Second-Order Cell-Centered Lagrangian Scheme Satisfying the Entropy Condition

  Zhong-Ze Li, Li Liu, Jun-Bo Cheng

  2023-03-13

  38815 3122 Pages:452-476

• Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

  Jiayin Li, Chi-Wang Shu, Jianxian Qiu

  2022-08-11

  302996 3331 Pages:364-400

• Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations

  Rik Verbiest, Julian Koellermeier

  2025-09-02

  10219 549 Pages:810-848

• A DDG Method with a Residual-Based Artificial Viscosity for the Transonic/Supersonic Compressible Flow

  Xiaofeng He, Kun Wang, Yiwei Feng, Tiegang Liu, Xiaojun Wang

  2022-03-30

  51579 3240 Pages:1134-1161

• Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation

  Min Cai, Ehsan Kharazmi, Changpin Li, George Em Karniadakis

  2022-01-27

  44410 3276 Pages:331-369

• Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

  Shu-Cun Li, Huazhong Tang

  2021-08-10

  47691 3101 Pages:1150-1184

• Non-Intrusive Reduced Order Modeling of Convection Dominated Flows Using Artificial Neural Networks with Application to Rayleigh-Taylor Instability

  Zhen Gao, Qi Liu, Jan S. Hesthaven, Bao-Shan Wang, Wai Sun Don, Xiao Wen

  2021-04-30

  49968 4514 Pages:97-123

• Fast One-Dimensional Convolution with General Kernels Using Sum-of-Exponential Approximation

  Yong Zhang, Chijie Zhuang, Shidong Jiang

  2021-03-24

  46173 3255 Pages:1570-1582

• High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes

  Jun Zhu, Chi-Wang Shu, Jianxian Qiu

  2021-02-25

  45738 3295 Pages:1030-1058

• A CFD-Aided Galerkin Method for Global Linear Instability Analysis

  Shengqi Zhang, Zhenhua Xia, Shiyi Chen

  2020-11-26

  45960 4614 Pages:128-147

• Numerical Simulations for Full History Recursive Multilevel Picard Approximations for Systems of High-Dimensional Partial Differential Equations

  Sebastian Becker, Ramon Braunwarth, Martin Hutzenthaler, Arnulf Jentzen, Philippe von Wurstemberger

  2020-11-18

  64386 3357 Pages:2109-2138

• 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

• 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

• Simulation of Three-Dimensional Free-Surface Flows Using Two-Dimensional Multilayer Shallow Water Equations

  Saida Sari, Thomas Rowan, Mohammed Seaid, Fayssal Benkhaldoun

  2020-05-06

  49887 3601 Pages:1413-1442

• 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

• High-Order Spectral Simulation of Graphene Ribbons

  David P. Nicholls

  2019-08-27

  43504 3175 Pages:1575-1596

• Optimal Error Estimates of a Linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki Equations

  Dongfang Li, Waixiang Cao, Chengjian Zhang & Zhimin Zhang

  2019-04-28

  48598 3339 Pages:838-854

• Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models

  Tianwei Yu, Roman Fuchs, Ralf Hiptmair

  2024-10-09

  15750 1260 Pages:581-617

• Minimum Energy Conformations of Self-Interacting Polymer Chains via Multipopulation Genetic Algorithms (MpGA)

  Luis Olivares-Quiroz, Marcos A. González-Olvera

  2018-09-17

  46896 3209 Pages:810-829