Wei Cai - RankMe

60 papers A* 1A 2C 2Journal 51Unranked 4

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Deep Neural networks for solving high-dimensional parabolic partial differential equations. CoRR Wenzhong Zhang, Zheyuan Hu, Wei Cai, George E. Karniadakis
2026	J	`jnl`	Deep random difference method for high-dimensional quasilinear parabolic partial differential equations. J. Comput. Phys. Wei Cai, Shuixin Fang, Tao Zhou
2026	J	`jnl`	DeepMartNet: A Martingale-Based Deep Neural Network Learning Method for Dirichlet BVPs and Eigenvalue Problems of Elliptic PDEs in \(\mathbb{R}\)\(^{d}\). SIAM J. Sci. Comput. Wei Cai, Andrew He, Daniel Margolis
2026	J	`jnl`	MscaleFNO: Multi-scale Fourier neural operator learning for oscillatory functions and wave scattering problems. J. Comput. Phys. Zilin You, Zhenli Xu, Wei Cai
2025	J	`jnl`	On spectral bias reduction of multi-scale neural networks for regression problems. Neural Networks Bo Wang, Heng Yuan, Lizuo Liu, Wenzhong Zhang, Wei Cai
2025	J	`jnl`	On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs. CoRR Zhi-Qin John Xu, Lulu Zhang, Wei Cai
2025	J	`jnl`	On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs. J. Comput. Phys. Zhi-Qin John Xu, Lulu Zhang, Wei Cai
2025	J	`jnl`	SOC-MartNet: A Martingale Neural Network for the Hamilton-Jacobi-Bellman Equation Without Explicit \(\boldsymbol{\inf\nolimits_{u \in}}\)\(\boldsymbol{{}_{U}H}\) in Stochastic Optimal Controls. SIAM J. Sci. Comput. Wei Cai, Shuixin Fang, Tao Zhou
2024	J	`jnl`	A Derivative-Free Martingale Neural Network Soc-Martnet For The Hamilton-Jacobi-Bellman Equations In Stochastic Optimal Controls. CoRR Wei Cai, Shuixin Fang, Wenzhong Zhang, Tao Zhou
2023	J	`jnl`	A path integral Monte Carlo (PIMC) method based on Feynman-Kac formula for electrical impedance tomography. J. Comput. Phys. Cuiyang Ding, Yijing Zhou, Wei Cai, Xuan Zeng, Changhao Yan
2023	J	`jnl`	DeepMartNet - A Martingale Based Deep Neural Network Learning Method for Dirichlet BVP and Eigenvalue Problems of Elliptic PDEs. CoRR Wei Cai, Andrew He, Daniel Margolis
2022	J	`jnl`	A Matrix Basis Formulation for the Dyadic Green's Functions of Maxwell's Equations in Layered Media. SIAM J. Appl. Math. Wenzhong Zhang, Bo Wang, Wei Cai
2022	J	`jnl`	A Parallel Iterative Probabilistic Method for Mixed Problems of Laplace Equations with the Feynman-Kac Formula of Killed Brownian Motions. SIAM J. Sci. Comput. Cuiyang Ding, Changhao Yan, Xuan Zeng, Wei Cai
2022	J	`jnl`	FBSDE based neural network algorithms for high-dimensional quasilinear parabolic PDEs. J. Comput. Phys. Wenzhong Zhang, Wei Cai
2022	J	`jnl`	On the Convergence of the Multi-scale Deep Neural Network (MscaleDNN) in Approximating Oscillatory Functions. CoRR Bo Wang, Heng Yuan, Lizuo Liu, Wenzhong Zhang, Wei Cai
2021	J	`jnl`	A Linearized Learning with Multiscale Deep Neural Network for Stationary Navier-Stokes Equations with Oscillatory Solutions. CoRR Lizuo Liu, Bo Wang, Wei Cai
2021	J	`jnl`	Fast multipole method for 3-D Laplace equation in layered media. Comput. Phys. Commun. Bo Wang, Wenzhong Zhang, Wei Cai
2021	J	`jnl`	Fast multipole method for 3-D Poisson-Boltzmann equation in layered electrolyte-dielectric media. J. Comput. Phys. Bo Wang, Wenzhong Zhang, Wei Cai
2020	J	`jnl`	A Matrix Basis Formulation For The Green's Functions Of Maxwell's Equations And The Elastic Wave Equations In Layered Media. CoRR Wenzhong Zhang, Bo Wang, Wei Cai
2020	J	`jnl`	Exponential Convergence for Multipole and Local Expansions and Their Translations for Sources in Layered Media: Two-Dimensional Acoustic Wave. SIAM J. Numer. Anal. Wenzhong Zhang, Bo Wang, Wei Cai
2020	J	`jnl`	Exponential convergence for multipole and local expansions and their translations for sources in layered media: three-dimensional Laplace equation. CoRR Bo Wang, Wenzhong Zhang, Wei Cai
2020	J	`jnl`	FBSDE based neural network algorithms for high-dimensional quasilinear parabolic PDEs. CoRR Wenzhong Zhang, Wei Cai
2020	J	`jnl`	Fast Multipole Method for 3-D Linearized Poisson-Boltzmann Equation in Layered Media. CoRR Bo Wang, Wen Zhong Zhang, Wei Cai
2020	J	`jnl`	Multi-scale Deep Neural Network (MscaleDNN) Methods for Oscillatory Stokes Flows in Complex Domains. CoRR Bo Wang, Wenzhong Zhang, Wei Cai
2020	J	`jnl`	Multi-scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains. CoRR Ziqi Liu, Wei Cai, Zhi-Qin John Xu
2020	J	`jnl`	Taylor expansion based fast multipole method for 3-D Helmholtz equations in layered media. J. Comput. Phys. Bo Wang, Duan Chen, Bo Zhang, Wenzhong Zhang, Min Hyung Cho, Wei Cai
2020	J	`jnl`	What is the fractional Laplacian? A comparative review with new results. J. Comput. Phys. Anna Lischke, Guofei Pang, Mamikon A. Gulian, Fangying Song, Christian Glusa, Xiaoning Zheng, Zhiping Mao, Wei Cai, Mark M. Meerschaert, Mark Ainsworth, George Em Karniadakis
2019	J	`jnl`	Fast Multipole Method For 3-D Helmholtz Equation in Layered Media. SIAM J. Sci. Comput. Bo Wang, Wenzhong Zhang, Wei Cai
2019	J	`jnl`	Fast multipole method for 3-D Laplace equation in layered media. CoRR Bo Wang, Wen Zhong Zhang, Wei Cai
2019	J	`jnl`	Multi-scale Deep Neural Networks for Solving High Dimensional PDEs. CoRR Wei Cai, Zhi-Qin John Xu
2018	J	`jnl`	A Computational Stochastic Methodology for the Design of Random Meta-materials under Geometric Constraints. SIAM J. Sci. Comput. Ivi C. Tsantili, Min Hyung Cho, Wei Cai, George E. Karniadakis
2018	J	`jnl`	A heterogeneous FMM for layered media Helmholtz equation I: Two layers in R2. J. Comput. Phys. Min Hyung Cho, Jingfang Huang, Dangxing Chen, Wei Cai
2018	J	`jnl`	Accurate and Efficient Nyström Volume Integral Equation Method for Electromagnetic Scattering of 3-D Metamaterials in Layered Media. SIAM J. Sci. Comput. Duan Chen, Min Hyung Cho, Wei Cai
2018	J	`jnl`	Efficient Yield Optimization for Analog and SRAM Circuits via Gaussian Process Regression and Adaptive Yield Estimation. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. Mengshuo Wang, Wenlong Lv, Fan Yang, Changhao Yan, Wei Cai, Dian Zhou, Xuan Zeng
2017	J	`jnl`	Discovering variable fractional orders of advection-dispersion equations from field data using multi-fidelity Bayesian optimization. J. Comput. Phys. Guofei Pang, Paris Perdikaris, Wei Cai, George E. Karniadakis
2017	J	`jnl`	Efficient and Accurate Computation of Electric Field Dyadic Green's Function in Layered Media. J. Sci. Comput. Min Hyung Cho, Wei Cai
2017	J	`jnl`	Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes. Comput. Math. Appl. Fangying Song, Fanhai Zeng, Wei Cai, Wen Chen, George E. Karniadakis
2016	J	`jnl`	Accurate and efficient Nyström volume integral equation method for the Maxwell equations for multiple 3-D scatterers. J. Comput. Phys. Duan Chen, Wei Cai, Brian Zinser, Min Hyung Cho
2016	C	`conf`	High-speed link verification based on statistical inference. ISCAS Xuan Zeng, Chenlei Fang, Qicheng Huang, Fan Yang, Dian Zhou, Wei Cai, Weiping Shi
2013	J	`jnl`	A Parallel Method for Solving Laplace Equations with Dirichlet Data Using Local Boundary Integral Equations and Random Walks. SIAM J. Sci. Comput. Changhao Yan, Wei Cai, Xuan Zeng
2012	J	`jnl`	A parallel fast algorithm for computing the Helmholtz integral operator in 3-D layered media. J. Comput. Phys. Min Hyung Cho, Wei Cai
2012	J	`jnl`	Revision of wFMM - A Wideband Fast Multipole Method for the two-dimensional complex Helmholtz equation. Comput. Phys. Commun. Min Hyung Cho, Wei Cai
2011	J	`jnl`	Improved rigorous coupled-wave analysis for polar magnetic gratings. Comput. Phys. Commun. Min Hyung Cho, Haiyu Zheng, Yuehui Lu, YoungPak Lee, Wei Cai
2010	J	`jnl`	A Wideband Fast Multipole Method for the two-dimensional complex Helmholtz equation. Comput. Phys. Commun. Min Hyung Cho, Wei Cai
2010	J	`jnl`	NHAR: A non-homogeneous Arnoldi method for fast simulation of RCL circuits with a large number of ports. Int. J. Circuit Theory Appl. Xuan Zeng, Fan Yang, Yangfeng Su, Wei Cai
2010	J	`jnl`	Stochastic Sparse-Grid Collocation Algorithm for Steady-State Analysis of Nonlinear System with Process Variations. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. Jun Tao, Xuan Zeng, Wei Cai, Yangfeng Su, Dian Zhou
2009	J	`jnl`	A Modified Nested Sparse Grid Based Adaptive Stochastic Collocation Method for Statistical Static Timing Analysis. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. Xu Luo, Fan Yang, Xuan Zeng, Jun Tao, Hengliang Zhu, Wei Cai
2009	J	`jnl`	Generalized Stochastic Collocation Method for Variation-Aware Capacitance Extraction of Interconnects Considering Arbitrary Random Probability. IEICE Trans. Electron. Hengliang Zhu, Xuan Zeng, Xu Luo, Wei Cai
2009	J	`jnl`	Intra-Die Spatial Correlation Extraction with Maximum Likelihood Estimation Method for Multiple Test Chips. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. Qiang Fu, Wai-Shing Luk, Jun Tao, Xuan Zeng, Wei Cai
2008	—	`conf`	Adaptive Stochastic Collocation Method (ASCM) for Parameterized Statistical Timing Analysis with Quadratic Delay Model. ISQED Yi Wang, Xuan Zeng, Jun Tao, Hengliang Zhu, Xu Luo, Changhao Yan, Wei Cai
2008	J	`jnl`	Adaptive Stochastic Collocation Method for Parameterized Statistical Timing Analysis with Quadratic Delay Model. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. Yi Wang, Xuan Zeng, Jun Tao, Hengliang Zhu, Wei Cai
2008	A*	`conf`	Timing yield driven clock skew scheduling considering non-Gaussian distributions of critical path delays. DAC Yi Wang, Wai-Shing Luk, Xuan Zeng, Jun Tao, Changhao Yan, Jiarong Tong, Wei Cai, Jia Ni
2007	A	`conf`	A sparse grid based spectral stochastic collocation method for variations-aware capacitance extraction of interconnects under nanometer process technology. DATE Hengliang Zhu, Xuan Zeng, Wei Cai, Jintao Xue, Dian Zhou
2007	—	`conf`	Stochastic Sparse-grid Collocation Algorithm (SSCA) for Periodic Steady-State Analysis of Nonlinear System with Process Variations. ASP-DAC Jun Tao, Xuan Zeng, Wei Cai, Yangfeng Su, Dian Zhou, Charles C. Chiang
2006	J	`jnl`	A Boundary Integral Equation Method for Photonic Crystal Fibers. J. Sci. Comput. Min Hyung Cho, Wei Cai, Tsing-Hua Her
2006	—	`conf`	A Spectral Stochastic Collocation Method for Capacitance Extraction of Interconnects with Process Variations. APCCAS Hengliang Zhu, Xuan Zeng, Wei Cai, Dian Zhou
2006	C	`conf`	A one-shot projection method for interconnects with process variations. ISCAS Jun Tao, Xuan Zeng, Fan Yang, Yangfeng Su, Lihong Feng, Wei Cai, Dian Zhou, Charles C. Chiang
2006	A	`conf`	Time domain model order reduction by wavelet collocation method. DATE Xuan Zeng, Lihong Feng, Yangfeng Su, Wei Cai, Dian Zhou, Charles C. Chiang
2004	—	`conf`	Frequency domain wavelet method with GMRES for large-scale linear circuit simulation. ISCAS (5) Jian Wang, Xuan Zeng, Wei Cai, Charles C. Chiang, Jiarong Tong, Dian Zhou
2003	J	`jnl`	Behavioral modeling for analog system-level simulation by wavelet collocation method. IEEE Trans. Circuits Syst. II Express Briefs Xin Li, Xuan Zeng, Dian Zhou, Xieting Ling, Wei Cai