Wei Cai
Orcid: 0000-0002-7622-4532Affiliations:
- University of North Carolina, Department of Mathematics, Charlotte, NC, USA (since 1989)
- Southern Methodist University, Department of Mathematics, Dallas, TX, USA
- University of California at Santa Barbara, Department of Mathematics, CA, USA (1994 - 1996)
- Brown University, Providence, RI, USA (PhD 1989)
According to our database1,
Wei Cai
authored at least 47 papers
between 2003 and 2024.
Collaborative distances:
Collaborative distances:
Timeline
Legend:
Book In proceedings Article PhD thesis Dataset OtherLinks
Online presence:
-
on orcid.org
On csauthors.net:
Bibliography
2024
A Derivative-Free Martingale Neural Network Soc-Martnet For The Hamilton-Jacobi-Bellman Equations In Stochastic Optimal Controls.
CoRR, 2024
2023
A path integral Monte Carlo (PIMC) method based on Feynman-Kac formula for electrical impedance tomography.
J. Comput. Phys., March, 2023
2022
A Parallel Iterative Probabilistic Method for Mixed Problems of Laplace Equations with the Feynman-Kac Formula of Killed Brownian Motions.
SIAM J. Sci. Comput., October, 2022
A Matrix Basis Formulation for the Dyadic Green's Functions of Maxwell's Equations in Layered Media.
SIAM J. Appl. Math., 2022
FBSDE based neural network algorithms for high-dimensional quasilinear parabolic PDEs.
J. Comput. Phys., 2022
On the Convergence of the Multi-scale Deep Neural Network (MscaleDNN) in Approximating Oscillatory Functions.
CoRR, 2022
2021
Fast multipole method for 3-D Poisson-Boltzmann equation in layered electrolyte-dielectric media.
J. Comput. Phys., 2021
Comput. Phys. Commun., 2021
A Linearized Learning with Multiscale Deep Neural Network for Stationary Navier-Stokes Equations with Oscillatory Solutions.
CoRR, 2021
2020
Exponential Convergence for Multipole and Local Expansions and Their Translations for Sources in Layered Media: Two-Dimensional Acoustic Wave.
SIAM J. Numer. Anal., 2020
Taylor expansion based fast multipole method for 3-D Helmholtz equations in layered media.
J. Comput. Phys., 2020
J. Comput. Phys., 2020
Multi-scale Deep Neural Network (MscaleDNN) Methods for Oscillatory Stokes Flows in Complex Domains.
CoRR, 2020
A Matrix Basis Formulation For The Green's Functions Of Maxwell's Equations And The Elastic Wave Equations In Layered Media.
CoRR, 2020
Exponential convergence for multipole and local expansions and their translations for sources in layered media: three-dimensional Laplace equation.
CoRR, 2020
Fast Multipole Method for 3-D Linearized Poisson-Boltzmann Equation in Layered Media.
CoRR, 2020
2019
SIAM J. Sci. Comput., 2019
2018
Efficient Yield Optimization for Analog and SRAM Circuits via Gaussian Process Regression and Adaptive Yield Estimation.
IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 2018
A Computational Stochastic Methodology for the Design of Random Meta-materials under Geometric Constraints.
SIAM J. Sci. Comput., 2018
Accurate and Efficient Nyström Volume Integral Equation Method for Electromagnetic Scattering of 3-D Metamaterials in Layered Media.
SIAM J. Sci. Comput., 2018
J. Comput. Phys., 2018
2017
Efficient and Accurate Computation of Electric Field Dyadic Green's Function in Layered Media.
J. Sci. Comput., 2017
Discovering variable fractional orders of advection-dispersion equations from field data using multi-fidelity Bayesian optimization.
J. Comput. Phys., 2017
Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes.
Comput. Math. Appl., 2017
2016
Accurate and efficient Nyström volume integral equation method for the Maxwell equations for multiple 3-D scatterers.
J. Comput. Phys., 2016
Proceedings of the IEEE International Symposium on Circuits and Systems, 2016
2013
A Parallel Method for Solving Laplace Equations with Dirichlet Data Using Local Boundary Integral Equations and Random Walks.
SIAM J. Sci. Comput., 2013
2012
A parallel fast algorithm for computing the Helmholtz integral operator in 3-D layered media.
J. Comput. Phys., 2012
Revision of wFMM - A Wideband Fast Multipole Method for the two-dimensional complex Helmholtz equation.
Comput. Phys. Commun., 2012
2011
Comput. Phys. Commun., 2011
2010
NHAR: A non-homogeneous Arnoldi method for fast simulation of RCL circuits with a large number of ports.
Int. J. Circuit Theory Appl., 2010
Stochastic Sparse-Grid Collocation Algorithm for Steady-State Analysis of Nonlinear System with Process Variations.
IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2010
Comput. Phys. Commun., 2010
2009
Generalized Stochastic Collocation Method for Variation-Aware Capacitance Extraction of Interconnects Considering Arbitrary Random Probability.
IEICE Trans. Electron., 2009
A Modified Nested Sparse Grid Based Adaptive Stochastic Collocation Method for Statistical Static Timing Analysis.
IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2009
Intra-Die Spatial Correlation Extraction with Maximum Likelihood Estimation Method for Multiple Test Chips.
IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2009
2008
Adaptive Stochastic Collocation Method for Parameterized Statistical Timing Analysis with Quadratic Delay Model.
IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2008
Adaptive Stochastic Collocation Method (ASCM) for Parameterized Statistical Timing Analysis with Quadratic Delay Model.
Proceedings of the 9th International Symposium on Quality of Electronic Design (ISQED 2008), 2008
Timing yield driven clock skew scheduling considering non-Gaussian distributions of critical path delays.
Proceedings of the 45th Design Automation Conference, 2008
2007
A sparse grid based spectral stochastic collocation method for variations-aware capacitance extraction of interconnects under nanometer process technology.
Proceedings of the 2007 Design, Automation and Test in Europe Conference and Exposition, 2007
Stochastic Sparse-grid Collocation Algorithm (SSCA) for Periodic Steady-State Analysis of Nonlinear System with Process Variations.
Proceedings of the 12th Conference on Asia South Pacific Design Automation, 2007
2006
J. Sci. Comput., 2006
Proceedings of the International Symposium on Circuits and Systems (ISCAS 2006), 2006
Proceedings of the Conference on Design, Automation and Test in Europe, 2006
A Spectral Stochastic Collocation Method for Capacitance Extraction of Interconnects with Process Variations.
Proceedings of the IEEE Asia Pacific Conference on Circuits and Systems 2006, 2006
2004
Frequency domain wavelet method with GMRES for large-scale linear circuit simulation.
Proceedings of the 2004 International Symposium on Circuits and Systems, 2004
2003
Behavioral modeling for analog system-level simulation by wavelet collocation method.
IEEE Trans. Circuits Syst. II Express Briefs, 2003