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

  DOI:10.4208/cicp.080509.310310s

  39603 3985 pp. 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

  DOI:10.4208/cicp.101009.120210a

  38557 4403 pp. 68-88

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

  V. A. Titarev

  2010-08-01

  DOI:10.4208/cicp.180909.281209a

  37986 3856 pp. 427-444

• Efficient Collocational Approach for Parametric Uncertainty Analysis

  D. Xiu

  2018-03-24

  41696 4487 pp. 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

  DOI:10.4208/cicp.OA-2023-0075

  32040 2870 pp. 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

  DOI:10.4208/cicp.OA-2021-0146

  42895 3385 pp. 715-736

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

  Xucheng Meng, Guanghui Hu

  2022-08-11

  DOI:10.4208/cicp.OA-2021-0143

  303197 3885 pp. 490-523 Open Access

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

  Jiayin Li, Chi-Wang Shu, Jianxian Qiu

  2022-08-11

  DOI:10.4208/cicp.OA-2022-0030

  303127 3368 pp. 364-400

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

  Jingshi Li, Song Chen, Lijin Wang, Yanzhao Cao

  2022-05-06

  DOI:10.4208/cicp.OA-2021-0219

  43750 3404 pp. 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

  DOI:10.4208/cicp.OA-2020-0260

  47871 3059 pp. 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

  DOI:10.4208/cicp.OA-2020-0088

  48871 3170 pp. 448-485

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

  Kailiang Wu, Dongbin Xiu, Xinghui Zhong

  2021-05-25

  DOI:10.4208/cicp.OA-2020-0167

  49108 3206 pp. 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

  DOI:10.4208/cicp.OA-2020-0122

  48834 4354 pp. 144-189

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

  Mohamed El Ouafa, Stéphane Vincent, Vincent Le Chenadec

  2021-02-25

  DOI:10.4208/cicp.OA-2020-0044

  43768 3250 pp. 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

  DOI:10.4208/cicp.OA-2020-0060

  46066 3220 pp. 1152-1185

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

  Xue-Shi Li, Naixing Feng, Yuxian Zhang

  2020-12-02

  DOI:10.4208/cicp.OA-2020-0021

  46382 3261 pp. 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

  DOI:10.4208/cicp.OA-2019-0214

  48005 4654 pp. 80-110

• Machine Learning and Computational Mathematics

  Weinan E

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0185

  89035 4381 pp. 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

  DOI:10.4208/cicp.OA-2020-0187

  67430 3706 pp. 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

  DOI:10.4208/cicp.OA-2019-0091

  49340 3069 pp. 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

  DOI:10.4208/cicp.OA-2019-0155

  49146 3229 pp. 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

  DOI:10.4208/cicp.OA-2017-0228

  46599 3079 pp. 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

  DOI:10.4208/cicp.OA-2018-0054

  45198 3172 pp. 460-479

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

  Bo Gong, Jiayu Han, Jiguang Sun, Zhimin Zhang

  2020-03-06

  DOI:10.4208/cicp.OA-2018-0293

  53205 5215 pp. 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

  DOI:10.4208/cicp.2019.js60.10

  50877 3663 pp. 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

  DOI:10.4208/cicp.OA-2018-0056

  47267 3322 pp. 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

  DOI:10.4208/cicp.OA-2018-0070

  47135 3261 pp. 855-879