Search Results

• Adaptive Conservative Cell Average Spectral Element Methods for Transient Wigner Equation in Quantum Transport

  Sihong Shao, Tiao Lu & Wei Cai

  2011-03-05

  39470 3920 Pages:711-739

• Quadrilateral Cell-Based Anisotropic Adaptive Solution for the Euler Equations

  H. W. Zheng, N. Qin, F. C. G. A. Nicolleau & C. Shu

  2011-09-01

  38398 4286 Pages:68-88

• Implicit Unstructured-Mesh Method for Calculating Poiseuille Flows of Rarefied Gas

  V. A. Titarev

  2010-08-01

  37794 3787 Pages:427-444

• Efficient Collocational Approach for Parametric Uncertainty Analysis

  D. Xiu

  2018-03-24

  41498 4430 Pages:293-309

• Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs

  Lei Ma, Rongxin Li, Fanhai Zeng, Ling Guo, George Em Karniadakis

  2023-11-08

  31686 2665 Pages:1133-1176

• Physics-Driven Learning of the Steady Navier-Stokes Equations Using Deep Convolutional Neural Networks

  Hao Ma, Yuxuan Zhang, Nils Thuerey, Xiangyu Hu, Oskar J. Haidn

  2022-09-29

  42625 3275 Pages:715-736

• A NURBS-Enhanced Finite Volume Method for Steady Euler Equations with Goal-Oriented $h$-Adaptivity

  Xucheng Meng, Guanghui Hu

  2022-08-11

  303006 3783 Pages:490-523 Open-access

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

  Jiayin Li, Chi-Wang Shu, Jianxian Qiu

  2022-08-11

  302871 3313 Pages:364-400

• A Symplectic Based Neural Network Algorithm for Quantum Controls under Uncertainty

  Jingshi Li, Song Chen, Lijin Wang, Yanzhao Cao

  2022-05-06

  43541 3322 Pages:1525-1545

• A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem

  Yingxia Xi, Xia Ji, Shuo Zhang

  2021-08-10

  47654 3000 Pages:1061-1082

• An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes

  Shuai Su, Huazhong Tang, Jiming Wu

  2021-05-25

  48625 3111 Pages:448-485

• A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

  Kailiang Wu, Dongbin Xiu, Xinghui Zhong

  2021-05-25

  48872 3141 Pages:423-447

• A Gas-Kinetic Unified Algorithm for Non-Equilibrium Polyatomic Gas Flows Covering Various Flow Regimes

  Wen-Qiang Hu, Zhi-Hui Li, Ao-Ping Peng, Xin-Yu Jiang

  2021-04-30

  48662 4199 Pages:144-189

• Navier-Stokes Solvers for Incompressible Single- and Two-Phase Flows

  Mohamed El Ouafa, Stéphane Vincent, Vincent Le Chenadec

  2021-02-25

  43583 3179 Pages:1213-1245

• Cholesky-Based Experimental Design for Gaussian Process and Kernel-Based Emulation and Calibration

  Helumt Harbrecht, John D. Jakeman, Peter Zaspel

  2021-02-25

  45831 3160 Pages:1152-1185

• Well-Organized MZT-ME-PML Approach for THz BP Metasurface Implementations

  Xue-Shi Li, Naixing Feng, Yuxian Zhang

  2020-12-02

  46189 3199 Pages:588-605

• Localized Exponential Time Differencing Method for Shallow Water Equations: Algorithms and Numerical Study

  Xucheng Meng, Thi-Thao-Phuong Hoang, Zhu Wang, Lili Ju

  2020-11-26

  47771 4467 Pages:80-110

• Machine Learning and Computational Mathematics

  Weinan E

  2020-11-18

  88485 4276 Pages:1639-1670

• A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

  Xi-An Li, Zhi-Qin John Xu, Lei Zhang

  2020-11-18

  67104 3635 Pages:1886-1906

• A Higher Order Interpolation Scheme of Finite Volume Method for Compressible Flow on Curvilinear Grids

  Zhen-Hua Jiang, Xi Deng, Feng Xiao, Chao Yan, Jian Yu

  2020-08-27

  49089 3004 Pages:1609-1638

• A High Order Central DG Method of the Two-Layer Shallow Water Equations

  Yongping Cheng, Haiyun Dong, Maojun Li, Weizhi Xian

  2020-08-27

  48957 3169 Pages:1437-1463

• The New Operator Marching Method on Calculating the Electromagnetic Scattered Fields from the Periodic Structures

  Yu Mao Wu, Ke Wei Chen, Jun Hu, Haijing Zhou, Yang Liu, Lijun Yuan

  2019-12-07

  46410 3019 Pages:569-588

• 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 Shifted-Inverse Adaptive Multigrid Method for the Elastic Eigenvalue Problem

  Bo Gong, Jiayu Han, Jiguang Sun, Zhimin Zhang

  2020-03-06

  52986 5112 Pages:251-273

• An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise

  2019-08-27

  50564 3535 Pages:1335-1364

• An Undecomposed Hybrid Algorithm for Nonlinear Coupled Constitutive Relations of Rarefied Gas Dynamics

  Zhongzheng Jiang, Wenwen Zhao, Weifang Chen & Ramesh K. Agarwal

  2019-04-28

  47028 3264 Pages:880-912

• An Adjoint-Based h-Adaptive Reconstructed Discontinuous Galerkin Method for the Steady-State Compressible Euler Equations

  Jian Cheng, Shengjiao Yu, Huiqiang Yue & Tiegang Liu

  2019-04-28

  46970 3207 Pages:855-879