Behavioral modeling for analog system-level simulation by wavelet collocation method. - Xin Li 001; Xuan Zeng 001; Dian Zhou; Xieting Ling; Wei Cai 003 (IEEE Trans. Circuits Syst. II Express Briefs, 2003)

Frequency domain wavelet method with GMRES for large-scale linear circuit simulation. - Jian Wang; Xuan Zeng 001; Wei Cai 003; Charles C. Chiang; Jiarong Tong; Dian Zhou (ISCAS (5), 2004)

A Spectral Stochastic Collocation Method for Capacitance Extraction of Interconnects with Process Variations. - Hengliang Zhu; Xuan Zeng 001; Wei Cai 003; Dian Zhou (APCCAS, 2006)

Time domain model order reduction by wavelet collocation method. - Xuan Zeng 001; Lihong Feng; Yangfeng Su; Wei Cai 003; Dian Zhou; Charles C. Chiang (DATE, 2006)

A one-shot projection method for interconnects with process variations. - Jun Tao 001; Xuan Zeng 001; Fan Yang 001; Yangfeng Su; Lihong Feng; Wei Cai 003; Dian Zhou; Charles C. Chiang (ISCAS, 2006)

A Boundary Integral Equation Method for Photonic Crystal Fibers. - Min Hyung Cho; Wei Cai 003; Tsing-Hua Her (J. Sci. Comput., 2006)

Stochastic Sparse-grid Collocation Algorithm (SSCA) for Periodic Steady-State Analysis of Nonlinear System with Process Variations. - Jun Tao 001; Xuan Zeng 001; Wei Cai 003; Yangfeng Su; Dian Zhou; Charles C. Chiang (ASP-DAC, 2007)

A sparse grid based spectral stochastic collocation method for variations-aware capacitance extraction of interconnects under nanometer process technology. - Hengliang Zhu; Xuan Zeng 001; Wei Cai 003; Jintao Xue; Dian Zhou (DATE, 2007)

Timing yield driven clock skew scheduling considering non-Gaussian distributions of critical path delays. - Yi Wang; Wai-Shing Luk; Xuan Zeng 001; Jun Tao 001; Changhao Yan; Jiarong Tong; Wei Cai 003; Jia Ni (DAC, 2008)

Adaptive Stochastic Collocation Method (ASCM) for Parameterized Statistical Timing Analysis with Quadratic Delay Model. - Yi Wang; Xuan Zeng 001; Jun Tao 001; Hengliang Zhu; Xu Luo; Changhao Yan; Wei Cai 003 (ISQED, 2008)

Adaptive Stochastic Collocation Method for Parameterized Statistical Timing Analysis with Quadratic Delay Model. - Yi Wang; Xuan Zeng 001; Jun Tao 001; Hengliang Zhu; Wei Cai 003 (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2008)

Intra-Die Spatial Correlation Extraction with Maximum Likelihood Estimation Method for Multiple Test Chips. - Qiang Fu; Wai-Shing Luk; Jun Tao 001; Xuan Zeng 001; Wei Cai 003 (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2009)

A Modified Nested Sparse Grid Based Adaptive Stochastic Collocation Method for Statistical Static Timing Analysis. - Xu Luo; Fan Yang 001; Xuan Zeng 001; Jun Tao 001; Hengliang Zhu; Wei Cai 003 (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2009)

Generalized Stochastic Collocation Method for Variation-Aware Capacitance Extraction of Interconnects Considering Arbitrary Random Probability. - Hengliang Zhu; Xuan Zeng 001; Xu Luo; Wei Cai 003 (IEICE Trans. Electron., 2009)

A Wideband Fast Multipole Method for the two-dimensional complex Helmholtz equation. - Min Hyung Cho; Wei Cai 003 (Comput. Phys. Commun., 2010)

Stochastic Sparse-Grid Collocation Algorithm for Steady-State Analysis of Nonlinear System with Process Variations. - Jun Tao 001; Xuan Zeng 001; Wei Cai 003; Yangfeng Su; Dian Zhou (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2010)

NHAR: A non-homogeneous Arnoldi method for fast simulation of RCL circuits with a large number of ports. - Xuan Zeng 001; Fan Yang 001; Yangfeng Su; Wei Cai 003 (Int. J. Circuit Theory Appl., 2010)

Improved rigorous coupled-wave analysis for polar magnetic gratings. - Min Hyung Cho; Haiyu Zheng; Yuehui Lu; YoungPak Lee; Wei Cai 003 (Comput. Phys. Commun., 2011)

Revision of wFMM - A Wideband Fast Multipole Method for the two-dimensional complex Helmholtz equation. - Min Hyung Cho; Wei Cai 003 (Comput. Phys. Commun., 2012)

A parallel fast algorithm for computing the Helmholtz integral operator in 3-D layered media. - Min Hyung Cho; Wei Cai 003 (J. Comput. Phys., 2012)

A Parallel Method for Solving Laplace Equations with Dirichlet Data Using Local Boundary Integral Equations and Random Walks. - Changhao Yan; Wei Cai 003; Xuan Zeng 001 (SIAM J. Sci. Comput., 2013)

High-speed link verification based on statistical inference. - Xuan Zeng 001; Chenlei Fang; Qicheng Huang; Fan Yang 001; Dian Zhou; Wei Cai 003; Weiping Shi (ISCAS, 2016)

Accurate and efficient Nyström volume integral equation method for the Maxwell equations for multiple 3-D scatterers. - Duan Chen; Wei Cai 003; Brian Zinser; Min Hyung Cho (J. Comput. Phys., 2016)

Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes. - Fangying Song; Fanhai Zeng; Wei Cai 003; Wen Chen; George E. Karniadakis (Comput. Math. Appl., 2017)

Discovering variable fractional orders of advection-dispersion equations from field data using multi-fidelity Bayesian optimization. - Guofei Pang; Paris Perdikaris; Wei Cai 003; George E. Karniadakis (J. Comput. Phys., 2017)

Efficient and Accurate Computation of Electric Field Dyadic Green's Function in Layered Media. - Min Hyung Cho; Wei Cai 003 (J. Sci. Comput., 2017)

A heterogeneous FMM for layered media Helmholtz equation I: Two layers in R2. - Min Hyung Cho; Jingfang Huang; Dangxing Chen; Wei Cai 003 (J. Comput. Phys., 2018)

Accurate and Efficient Nyström Volume Integral Equation Method for Electromagnetic Scattering of 3-D Metamaterials in Layered Media. - Duan Chen; Min Hyung Cho; Wei Cai 003 (SIAM J. Sci. Comput., 2018)

A Computational Stochastic Methodology for the Design of Random Meta-materials under Geometric Constraints. - Ivi C. Tsantili; Min Hyung Cho; Wei Cai 003; George E. Karniadakis (SIAM J. Sci. Comput., 2018)

Efficient Yield Optimization for Analog and SRAM Circuits via Gaussian Process Regression and Adaptive Yield Estimation. - Mengshuo Wang; Wenlong Lv; Fan Yang 001; Changhao Yan; Wei Cai 003; Dian Zhou; Xuan Zeng 001 (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 2018)

Multi-scale Deep Neural Networks for Solving High Dimensional PDEs. - Wei Cai 003; Zhi-Qin John Xu (CoRR, 2019)

Fast Multipole Method For 3-D Helmholtz Equation in Layered Media. - Bo Wang; Wenzhong Zhang; Wei Cai 003 (SIAM J. Sci. Comput., 2019)

Fast Multipole Method for 3-D Linearized Poisson-Boltzmann Equation in Layered Media. - Bo Wang; Wen Zhong Zhang; Wei Cai 003 (CoRR, 2020)

Multi-scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains. - Ziqi Liu; Wei Cai 003; Zhi-Qin John Xu (CoRR, 2020)

Exponential convergence for multipole and local expansions and their translations for sources in layered media: three-dimensional Laplace equation. - Bo Wang; Wenzhong Zhang; Wei Cai 003 (CoRR, 2020)

A Matrix Basis Formulation For The Green's Functions Of Maxwell's Equations And The Elastic Wave Equations In Layered Media. - Wenzhong Zhang; Bo Wang; Wei Cai 003 (CoRR, 2020)

Multi-scale Deep Neural Network (MscaleDNN) Methods for Oscillatory Stokes Flows in Complex Domains. - Bo Wang; Wenzhong Zhang; Wei Cai 003 (CoRR, 2020)

What is the fractional Laplacian? A comparative review with new results. - Anna Lischke; Guofei Pang; Mamikon A. Gulian; Fangying Song; Christian Glusa; Xiaoning Zheng; Zhiping Mao; Wei Cai 003; Mark M. Meerschaert; Mark Ainsworth; George Em Karniadakis (J. Comput. Phys., 2020)

Taylor expansion based fast multipole method for 3-D Helmholtz equations in layered media. - Bo Wang; Duan Chen; Bo Zhang; Wenzhong Zhang; Min Hyung Cho; Wei Cai 003 (J. Comput. Phys., 2020)

Exponential Convergence for Multipole and Local Expansions and Their Translations for Sources in Layered Media: Two-Dimensional Acoustic Wave. - Wenzhong Zhang; Bo Wang; Wei Cai 003 (SIAM J. Numer. Anal., 2020)

A Linearized Learning with Multiscale Deep Neural Network for Stationary Navier-Stokes Equations with Oscillatory Solutions. - Lizuo Liu; Bo Wang; Wei Cai 003 (CoRR, 2021)

Fast multipole method for 3-D Laplace equation in layered media. - Bo Wang; Wenzhong Zhang; Wei Cai 003 (Comput. Phys. Commun., 2021)

Fast multipole method for 3-D Poisson-Boltzmann equation in layered electrolyte-dielectric media. - Bo Wang; Wenzhong Zhang; Wei Cai 003 (J. Comput. Phys., 2021)

On the Convergence of the Multi-scale Deep Neural Network (MscaleDNN) in Approximating Oscillatory Functions. - Bo Wang; Heng Yuan; Lizuo Liu; Wenzhong Zhang; Wei Cai 003 (CoRR, 2022)

FBSDE based neural network algorithms for high-dimensional quasilinear parabolic PDEs. - Wenzhong Zhang; Wei Cai 003 (J. Comput. Phys., 2022)

A Matrix Basis Formulation for the Dyadic Green's Functions of Maxwell's Equations in Layered Media. - Wenzhong Zhang; Bo Wang; Wei Cai 003 (SIAM J. Appl. Math., 2022)

A Parallel Iterative Probabilistic Method for Mixed Problems of Laplace Equations with the Feynman-Kac Formula of Killed Brownian Motions. - Cuiyang Ding; Changhao Yan; Xuan Zeng 001; Wei Cai 003 (SIAM J. Sci. Comput., 2022)

A path integral Monte Carlo (PIMC) method based on Feynman-Kac formula for electrical impedance tomography. - Cuiyang Ding; Yijing Zhou; Wei Cai 003; Xuan Zeng 001; Changhao Yan (J. Comput. Phys., 2023)

A Derivative-Free Martingale Neural Network Soc-Martnet For The Hamilton-Jacobi-Bellman Equations In Stochastic Optimal Controls. - Wei Cai 003; Shuixin Fang; Wenzhong Zhang; Tao Zhou (CoRR, 2024)

On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs. - Zhi-Qin John Xu; Lulu Zhang; Wei Cai 003 (J. Comput. Phys., 2025)

On spectral bias reduction of multi-scale neural networks for regression problems. - Bo Wang; Heng Yuan; Lizuo Liu; Wenzhong Zhang; Wei Cai 003 (Neural Networks, 2025)

SOC-MartNet: A Martingale Neural Network for the Hamilton-Jacobi-Bellman Equation Without Explicit ( boldsymbol{ inf olimits_{u in}} ) ( boldsymbol{{}_{U}H} ) in Stochastic Optimal Controls. - Wei Cai 003; Shuixin Fang; Tao Zhou (SIAM J. Sci. Comput., 2025)