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Wei Cai

Southern Methodist University

34H指数
239论文数
4.0K被引数
收录论文 59
发表时间
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DEEPMARTNET: A MARTINGALE-BASED DEEP NEURAL NETWORK LEARNING METHOD FOR DIRICHLET BVPs AND EIGENVALUE PROBLEMS OF ELLIPTIC PDEs IN RdDeepMartNet：一种基于鞅的深度神经网络学习方法，用于解决Rd中椭圆偏微分方程的Dirichlet边值问题和特征值问题
errSIAM Journal on Scientific Computing
IF2.6
err2026-01-01
err1
PREAI
errCai, Wei; He, Andrew; Margolis, Daniel
err分享
err收藏
MscaleFNO: Multi-scale Fourier Neural Operator Learning for Oscillatory Functions and Wave Scattering ProblemsMscaleFNO：用于振荡函数和波动散射问题的多尺度傅里叶神经网络算子学习
errJournal of Computational Physics
IF3.8
err2025-11-26
err0
PREAI
errZilin You; Zhenli Xu; Wei Cai
err分享
err收藏
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs关于理解和克服用于求解偏微分方程的深度神经网络学习方法中的谱偏差
errJOURNAL OF COMPUTATIONAL PHYSICS
IF3.8
err2025-06-01
err0
PREAI
errXu, Zhi-Qin John; Zhang, Lulu; Cai, Wei
err分享
err收藏
On spectral bias reduction of multi-scale neural networks for regression problems多尺度神经网络回归问题的谱偏差约简
errNEURAL NETWORKS
IF6.3
err2025-05-01
err0
PREAI
errWang, Bo; Yuan, Heng; Liu, Lizuo; Zhang, Wenzhong; Cai, Wei
err分享
err收藏
A path integral Monte Carlo (PIMC) method based on Feynman-Kac formula for electrical impedance tomography
errJOURNAL OF COMPUTATIONAL PHYSICS
IF3.8
err2023-03-01
err1
errOAAI
errDing, Cuiyang; Zhou, Yijing; Cai, Wei; Zeng, Xuan; Yan, Changhao
err分享
err收藏
FBSDE based neural network algorithms for high-dimensional quasilinear parabolic PDEs
errJOURNAL OF COMPUTATIONAL PHYSICS
IF3.8
err2022-12-01
err5
errOAAI
errZhang, Wenzhong; Cai, Wei
err分享
err收藏
A PARALLEL ITERATIVE PROBABILISTIC METHOD FOR MIXED PROBLEMS OF LAPLACE EQUATIONS WITH THE FEYNMAN--KAC FORMULA OF KILLED BROWNIAN MOTIONS
errSIAM JOURNAL ON SCIENTIFIC COMPUTING
IF2.6
err2022-10-27
err0
PREAI
errDing, Cuiyang; Yan, Changhao; Zeng, Xuan; Cai, Wei
err分享
err收藏
Polarization impedance at the Na-Na5YSi4O12 interfaceNa-Na5YSi4O12界面的极化阻抗
errSOLID STATE IONICS
IF3.3
err2022-03-01
err4
PREAI
errHuettl, J.; Cai, W.; Wagner, D.; Schilm, J.; Kusnezoff, M.; Nikolowski, K.; Shaji, N.; Lee, C. W.; Partsch, M.; Michaelis, A.
err分享
err收藏
Fast multipole method for 3-D Poisson-Boltzmann equation in layered electrolyte-dielectric media
errJOURNAL OF COMPUTATIONAL PHYSICS
IF3.8
err2021-08-01
err1
errOAAI
errWang, Bo; Zhang, Wenzhong; Cai, Wei
err分享
err收藏
Fast multipole method for 3-D Laplace equation in layered media
errCOMPUTER PHYSICS COMMUNICATIONS
IF3.4
err2021-02-01
err3
errOAAI
errWang, Bo; Zhang, Wenzhong; Cai, Wei
err分享
err收藏
A PHASE SHIFT DEEP NEURAL NETWORK FOR HIGH FREQUENCY APPROXIMATION AND WAVE PROBLEMS用于高频近似和波问题的相移深度神经网络
errSIAM JOURNAL ON SCIENTIFIC COMPUTING
IF2.6
err2020-10-20
err57
errOAAI
errCai, Wei; Li, Xiaoguang; Liu, Lizuo
err分享
err收藏
What is the fractional Laplacian? A comparative review with new results
errJOURNAL OF COMPUTATIONAL PHYSICS
IF3.8
err2020-03-01
err305
errOAAI
errLischke, Anna; Pang, Guofei; Gulian, Mamikon; Song, Fangying; Glusa, Christian; Zheng, Xiaoning; Mao, Zhiping; Cai, Wei; Meerschaert, Mark M.; Ainsworth, Mark; Karniadakis, George Em
err分享
err收藏
Taylor expansion based fast multipole method for 3-D Helmholtz equations in layered media
errJOURNAL OF COMPUTATIONAL PHYSICS
IF3.8
err2020-01-01
err11
errOAAI
errWang, Bo; Chen, Duan; Zhang, Bo; Zhang, Wenzhong; Cho, Min Hyung; Cai, Wei
err分享
err收藏
FAST MULTIPOLE METHOD FOR 3-D HELMHOLTZ EQUATION IN LAYERED MEDIA
errSIAM JOURNAL ON SCIENTIFIC COMPUTING
IF2.6
err2019-12-17
err5
errOAAI
errWang, Bo; Zhang, Wenzhong; Cai, Wei
err分享
err收藏
A high order efficient numerical method for 4-D Wigner equation of quantum double-slit interferences量子双缝干涉的4-D Wigner方程的高阶有效数值方法
errJOURNAL OF COMPUTATIONAL PHYSICS
IF3.8
err2019-11-01
err10
PREAI
errChen, Zhenzhu; Shao, Sihong; Cai, Wei
err分享
err收藏
An O(N log N) hierarchical random compression method for kernel matrices by sampling partial matrix entries
errJOURNAL OF COMPUTATIONAL PHYSICS
IF3.8
err2019-11-01
err3
errOAAI
errChen, Duan; Cai, Wei
err分享
err收藏
A heterogeneous FMM for layered media Helmholtz equation I: Two layers in R2
errJOURNAL OF COMPUTATIONAL PHYSICS
IF3.8
err2018-09-01
err10
errOAAI
errCho, Min Hyung; Huang, Jingfang; Chen, Dangxing; Cai, Wei
err分享
err收藏
A COMPUTATIONAL STOCHASTIC METHODOLOGY FOR THE DESIGN OF RANDOM META-MATERIALS UNDER GEOMETRIC CONSTRAINTS
errSIAM JOURNAL ON SCIENTIFIC COMPUTING
IF2.6
err2018-01-01
err15
PREAI
errTsantili, Ivi C.; Cho, Min Hyung; Cai, Wei; Karniadakis, George Em
err分享
err收藏
ACCURATE AND EFFICIENT NYSTROM VOLUME INTEGRAL EQUATION METHOD FOR ELECTROMAGNETIC SCATTERING OF 3-D METAMATERIALS IN LAYERED MEDIA
errSIAM JOURNAL ON SCIENTIFIC COMPUTING
IF2.6
err2018-01-01
err12
PREAI
errChen, Duan; Cho, Min Hyung; Cai, Wei
err分享
err收藏
Discovering variable fractional orders of advection-dispersion equations from field data using multi-fidelity Bayesian optimization
errJOURNAL OF COMPUTATIONAL PHYSICS
IF3.8
err2017-11-01
err46
errOAAI
errPang, Guofei; Perdikaris, Paris; Cai, Wei; Karniadakis, George Em
err分享
err收藏

研究方向

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合作学者
合作期刊
G
George Em Karniadakis
H 指数: 130 · 论文数: 1.3K
M
Mark Ainsworth
H 指数: 74 · 论文数: 490
M
Mark M. Meerschaert
H 指数: 69 · 论文数: 316
M
M. Lax
H 指数: 59 · 论文数: 305
李
李晓光 (Xiaoguang Li)
H 指数: 54 · 论文数: 391
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