Search Results

• New Insights on Convergence Properties of Peridynamic Models for Transient Diffusion and Elastodynamics

  Zhikun Zhou, Xuhao Peng, Pan Wu, Ziguang Chen, Florin Bobaru

  2023-01-24

  38724 3174 Pages:1257-1286

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

  Zhen Gao & Tao Zhou

  2014-08-03

  42356 4105 Pages:365-381

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

  Alexandre Birolleau, Gaël Poëtte & Didier Lucor

  2014-07-06

  41982 5360 Pages:1-34

• Convergence Detection in Direct Simulation Monte Carlo Calculations for Steady State Flows

  Jonathan M. Burt & Iain D. Boyd

  2011-10-01

  40136 4062 Pages:807-822

• A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems

  Youssef Marzouk & Dongbin Xiu

  2009-06-01

  38449 4055 Pages:826-847

• 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

  146 57 Pages:551-580

• Convergence Analysis for Over-Parameterized Deep Learning

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

  2024-07-29

  157 147 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

  237 58 Pages:942-974

• Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems

  Sidi Wu, Aiqing Zhu, Yifa Tang, Benzhuo Lu

  2023-03-13

  40769 3224 Pages:596-627

• Convergence Rate Analysis for Deep Ritz Method

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

  2022-03-30

  58803 3318 Pages:1020-1048

• Curious Convergence Properties of Lattice Boltzmann Schemes for Diffusion with Acoustic Scaling

  Bruce M. Boghosian, François Dubois, Benjamin Graille, Pierre Lallemand & Mohamed-Mahdi Tekitek

  2020-07-31

  50008 3097 Pages:1263-1278

• Optimal Error Estimates of a Discontinuous Galerkin Method for Stochastic Allen-Cahn Equation Driven by Multiplicative Noise

  Xu Yang, Weidong Zhao, Wenju Zhao

  2024-07-29

  162 183 Pages:133-159

• Piecewise Polynomial Mapping Method and Corresponding WENO Scheme with Improved Resolution

  Qin Li, Pengxin Liu & Hanxin Zhang

  2020-07-30

  68 29 Pages:1417-1444

• An Adaptive Combined Preconditioner with Applications in Radiation Diffusion Equations

  Xiaoqiang Yue, Shi Shu, Xiaowen Xu & Zhiyang Zhou

  2020-07-30

  39998 3316 Pages:1313-1335

• Analysis of a Mixed Finite Element Method for Stochastic Cahn-Hilliard Equation with Multiplicative Noise

  Yukun Li, Corey Prachniak, Yi Zhang

  2024-05-06

  27824 1940 Pages:1003-1028

• A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids

  Yifei Wan, Yinhua Xia

  2023-06-06

  47223 3031 Pages:1270-1331

• 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

  47156 3442 Pages:905-929

• On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

  Yeonjong Shin, Jérôme Darbon, George Em Karniadakis

  2020-11-18

  88478 4440 Pages:2042-2074

• 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

  47588 3269 Pages:1032-1052

• 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

  53156 4879 Pages:33-69

• Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation

  Xiao Li, Lili Ju, Xucheng Meng

  2019-08-27

  46531 3321 Pages:1510-1529

• 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

  50564 3535 Pages:1335-1364

• A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices

  Dorothee Richters, Michael Lass, Andrea Walther, Christian Plessl & Thomas D. Kühne

  2018-10-11

  50738 3309 Pages:564-585

• Conservative Finite-Difference Scheme and Two-Stage Iteration Process of Its Realization for the 2D Problem of Semiconductor Plasma Generation by Femtosecond Pulse

  Vyacheslav A. Trofimov, Maria M. Loginova & Vladimir A. Egorenkov

  2018-08-21

  45741 3496 Pages:1512-1533

• A New Earthquake Location Method Based on the Waveform Inversion

  Hao Wu, Jing Chen, Xueyuan Huang & Dinghui Yang

  2018-07-03

  47697 5129 Pages:118-141

• Point Integral Method for Solving Poisson-Type Equations on Manifolds from Point Clouds with Convergence Guarantees

  Zhen Li, Zuoqiang Shi, Jian Sun

  2019-10-31

  42082 4180 Pages:228-258

• 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

  40437 3173 Pages:835-869