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

Sihong Shao, Tiao Lu & Wei Cai

2011-03-05

https://doi.org/10.4208/cicp.080509.310310s

39470 3920 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

https://doi.org/10.4208/cicp.101009.120210a

38398 4286 pp. 68-88
Implicit Unstructured-Mesh Method for Calculating Poiseuille Flows of Rarefied Gas

V. A. Titarev

2010-08-01

https://doi.org/10.4208/cicp.180909.281209a

37794 3787 pp. 427-444
Efficient Collocational Approach for Parametric Uncertainty Analysis

D. Xiu

2018-03-24

41498 4430 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

https://doi.org/10.4208/cicp.OA-2023-0075

31686 2665 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

https://doi.org/10.4208/cicp.OA-2021-0146

42625 3275 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

https://doi.org/10.4208/cicp.OA-2021-0143

303006 3783 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

https://doi.org/10.4208/cicp.OA-2022-0030

302871 3313 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

https://doi.org/10.4208/cicp.OA-2021-0219

43541 3322 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

https://doi.org/10.4208/cicp.OA-2020-0260

47654 3000 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

https://doi.org/10.4208/cicp.OA-2020-0088

48625 3111 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

https://doi.org/10.4208/cicp.OA-2020-0167

48872 3141 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

https://doi.org/10.4208/cicp.OA-2020-0122

48662 4199 pp. 144-189
Navier-Stokes Solvers for Incompressible Single- and Two-Phase Flows

Mohamed El Ouafa, Stéphane Vincent, Vincent Le Chenadec

2021-02-25

https://doi.org/10.4208/cicp.OA-2020-0044

43583 3179 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

https://doi.org/10.4208/cicp.OA-2020-0060

45831 3160 pp. 1152-1185
Well-Organized MZT-ME-PML Approach for THz BP Metasurface Implementations

Xue-Shi Li, Naixing Feng, Yuxian Zhang

2020-12-02

https://doi.org/10.4208/cicp.OA-2020-0021

46189 3199 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

https://doi.org/10.4208/cicp.OA-2019-0214

47771 4467 pp. 80-110
Machine Learning and Computational Mathematics

Weinan E

2020-11-18

https://doi.org/10.4208/cicp.OA-2020-0185

88485 4276 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

https://doi.org/10.4208/cicp.OA-2020-0187

67104 3635 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

https://doi.org/10.4208/cicp.OA-2019-0091

49089 3004 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

https://doi.org/10.4208/cicp.OA-2019-0155

48957 3169 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

https://doi.org/10.4208/cicp.OA-2017-0228

46410 3019 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

https://doi.org/10.4208/cicp.OA-2018-0054

44991 3113 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

https://doi.org/10.4208/cicp.OA-2018-0293

52986 5112 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

https://doi.org/10.4208/cicp.2019.js60.10

50564 3535 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

https://doi.org/10.4208/cicp.OA-2018-0056

47028 3264 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

https://doi.org/10.4208/cicp.OA-2018-0070

46970 3207 pp. 855-879

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