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Wei Cai

Southern Methodist University

34H-index
239Paper Count
4.0KCitation Count
Published Papers 59
Publication Date
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DEEPMARTNET: A MARTINGALE-BASED DEEP NEURAL NETWORK LEARNING METHOD FOR DIRICHLET BVPs AND EIGENVALUE PROBLEMS OF ELLIPTIC PDEs IN Rd
errSIAM Journal on Scientific Computing
IF2.6
err2026-01-01
err1
PREAI
errCai, Wei; He, Andrew; Margolis, Daniel
errShare
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MscaleFNO: Multi-scale Fourier Neural Operator Learning for Oscillatory Functions and Wave Scattering Problems
errJournal of Computational Physics
IF3.8
err2025-11-26
err0
PREAI
errZilin You; Zhenli Xu; Wei Cai
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errSave
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs
errJOURNAL OF COMPUTATIONAL PHYSICS
IF3.8
err2025-06-01
err0
PREAI
errXu, Zhi-Qin John; Zhang, Lulu; Cai, Wei
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errSave
On spectral bias reduction of multi-scale neural networks for regression problems
errNEURAL NETWORKS
IF6.3
err2025-05-01
err0
PREAI
errWang, Bo; Yuan, Heng; Liu, Lizuo; Zhang, Wenzhong; Cai, Wei
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errSave
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
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errSave
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
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errSave
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
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Polarization impedance at the Na-Na5YSi4O12 interface
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.
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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
errShare
errSave
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
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errSave
A PHASE SHIFT DEEP NEURAL NETWORK FOR HIGH FREQUENCY APPROXIMATION AND WAVE PROBLEMS
errSIAM JOURNAL ON SCIENTIFIC COMPUTING
IF2.6
err2020-10-20
err57
errOAAI
errCai, Wei; Li, Xiaoguang; Liu, Lizuo
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errSave
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
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errSave
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
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errSave
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
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errSave
A high order efficient numerical method for 4-D Wigner equation of quantum double-slit interferences
errJOURNAL OF COMPUTATIONAL PHYSICS
IF3.8
err2019-11-01
err10
PREAI
errChen, Zhenzhu; Shao, Sihong; Cai, Wei
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errSave
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
errShare
errSave
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
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errSave
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
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errSave
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
errShare
errSave
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
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errSave

Research Directions

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Co-authors
Cooperation Journals
G
George Em Karniadakis
H-index: 130 · Papers: 1.2K
M
Mark Ainsworth
H-index: 74 · Papers: 489
M
Mark M. Meerschaert
H-index: 69 · Papers: 316
M
M. Lax
H-index: 59 · Papers: 305
李
李晓光 (Xiaoguang Li)
H-index: 54 · Papers: 391
View more