Search Results

• Convergence Rate Analysis for Deep Ritz Method

  Chenguang Duan, Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Jerry Zhijian Yang

  2022-03-30

  59115 3457 Pages:1020-1048

• Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?

  Jiwei Zhang, Zhimin Zhang, Chengchao Zhao

  2026-01-18

  792 158 Pages:1027-1058

• On the Choice of Design Points for Least Square Polynomial Approximations with Application to Uncertainty Quantification

  Zhen Gao, Tao Zhou

  2014-08-03

  42519 4177 Pages:365-381

• Convergence Analysis for Over-Parameterized Deep Learning

  Yuling Jiao, Xiliang Lu, Peiying Wu, Jerry Zhijian Yang

  2024-07-29

  28083 2176 Pages:71-103

• Convergence Analysis of PINNs with Over-Parameterization

  Mo Chen, Zhao Ding, Yuling Jiao, Xiliang Lu, Peiying Wu, Jerry Zhijian Yang

  2025-04-27

  9329 579 Pages:942-974

• Adaptive Bayesian Inference for Discontinuous Inverse Problems, Application to Hyperbolic Conservation Laws

  Alexandre Birolleau, Gael Poette, Didier Lucor

  2014-07-06

  42166 5496 Pages:1-34

• A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems

  Youssef Marzouk, Dongbin Xiu

  2009-06-01

  38613 4123 Pages:826-847

• A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

  Yonghong Hao, Qiumei Huang, Cheng Wang

  2021-01-13

  47422 3534 Pages:905-929

• Bayesian Model Calibration with Interpolating Polynomials Based on Adaptively Weighted Leja Nodes

  Laurent van den Bos, Benjamin Sanderse, Wim Bierbooms, Gerard van Bussel

  2020-03-06

  53362 4973 Pages:33-69

• An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise

  2019-08-27

  50874 3663 Pages:1335-1364

• A Parallel Domain Decomposition Method for the Fully-Mixed Stokes-Dual-Permeability Fluid Flow Model with Beavers-Joseph Interface Conditions

  Zheng Li, Feng Shi, Yizhong Sun, Yuhong Zhang, Haibiao Zheng

  2024-09-06

  19539 1582 Pages:551-580

• A Minimum Action Method with Optimal Linear Time Scaling

  Xiaoliang Wan

  2020-07-30

  39803 3357 Pages:1352-1379

• Recursive POD Expansion for the Advection-Diffusion-Reaction Equation

  M. Azaiez, T. Chacon Rebollo, E. Perracchione, J. M. Vega

  2018-09-17

  44599 4771 Pages:1556-1578 Open-access

• Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions

  Xiangjun Meng, Xuelian Bao, Zhengru Zhang

  2025-01-22

  15671 1041 Pages:137-170

• An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows

  Jiao Liu, Zhenhua Chai, Baochang Shi

  2024-06-14

  28398 1940 Pages:1309-1326

• A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs

  Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Fengru Wang, Yang Wang, Jerry Zhijian Yang

  2022-03-30

  52178 3173 Pages:1272-1295

• A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

  Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise

  2021-12-06

  49555 4331 Pages:60-93 Open-access

• The Generalized Arrow-Hurwicz Method with Applications to Fluid Computation

  Binbin Du, Jianguo Huang

  2018-11-09

  47266 3546 Pages:752-780

• Explicit Computation of Robin Parameters in Optimized Schwarz Waveform Relaxation Methods for Schrödinger Equations Based on Pseudodifferential Operators

  Xavier Antoine, Emmanuel Lorin

  2020-02-23

  47809 3359 Pages:1032-1052

• High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study

  Liang Wu, Yong-Tao Zhang, Shuhai Zhang, Chi-Wang Shu

  2018-04-04

  40586 3219 Pages:835-869

• Convergence Analysis for Stochastic Collocation Methods to Scalar Hyperbolic Equations with a Random Wave Speed

  Tao Tang, Tao Zhou

  2010-08-01

  40348 4694 Pages:226-248

• A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation

  Jingrun Chen, Shi Jin, Liyao Lyu

  2022-03-30

  47296 3061 Pages:1296-1316

• Newton’s Method and Its Hybrid with Machine Learning for Navier-Stokes Darcy Models Discretized by Mixed Element Methods

  Jianguo Huang, Hui Peng, Haohao Wu

  2025-01-22

  15991 1004 Pages:30-60

• A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains

  Yi Liu, Wenbin Chen, Yanqiu Wang

  2022-10-28

  46563 3360 Pages:1094-1128

• A Fully Implicit Finite Volume Lattice Boltzmann Method for Turbulent Flows

  Fatih Cevik, Kahraman Albayrak

  2018-04-09

  42317 3412 Pages:393-421

• On the Stability and CPU Time of the Implicit Runge-Kutta Schemes for Steady State Simulations

  Yongle Du, John A. Ekaterinaris

  2018-04-04

  39786 3164 Pages:486-511

• A Lattice Boltzmann Method for the Advection-Diffusion Equation with Neumann Boundary Conditions

  Tobias Geback, Alexei Heintz

  2018-03-27

  40823 4159 Pages:487-505