Search Results

• High Order Deep Neural Network for Solving High Frequency Partial Differential Equations

  Zhipeng Chang, Ke Li, Xiufen Zou, Xueshuang Xiang

  2022-01-27

  46271 3540 Pages:370-397

• Multi-Valued Solution and Level Set Methods in Computational High Frequency Wave Propagation

  Hailiang Liu, Stanley Osher, Richard Tsai

  2006-01-01

  39603 3888 Pages:765-804

• Generalization Error in the Deep Ritz Method with Smooth Activation Functions

  Janne Siipola

  2024-04-10

  24366 2439 Pages:761-815 Open-access

• A Normalizing Field Flow Induced Two-Stage Stochastic Homogenization Method for Random Composite Materials

  Zihao Yang, Xintong Wang, Xiaofei Guan, Jizu Huang, Xixin Wu

  2023-10-07

  34826 2871 Pages:787-812

• Continuous Data Assimilation with a Moving Cluster of Data Points for a Reaction Diffusion Equation: A Computational Study

  Adam Larios, Collin Victor

  2021-02-25

  43797 3207 Pages:1273-1298

• 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

• Computing Optimal Forcing Using Laplace Preconditioning

  M. Brynjell-Rahkola, L. S. Tuckerman, P. Schlatter, D. S. Henningson

  2017-11-02

  42783 3623 Pages:1508-1532

• 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

  42280 4279 Pages:228-258

• A Fast Direct Solver for a Class of 3-D Elliptic Partial Differential Equation with Variable Coefficient

  Beibei Huang, Bin Tu, Benzhuo Lu

  2012-12-01

  40276 4196 Pages:1148-1162

• A Finite Element Method for Modelling Electromechanical Wave Propagation in Anisotropic Piezoelectric Media

  S. Rahman, H. P. Langtangen, C. H. W. Barnes

  2018-03-24

  39425 3794 Pages:271-292

• Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

  Richen Li, Qingbiao Wu, Shengfeng Zhu

  2021-05-25

  48472 3361 Pages:396-422

• A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

  Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang

  2020-11-26

  46446 4465 Pages:237-264

• A Fast State-Based Peridynamic Numerical Model

  Ning Du, Xu Guo, Hong Wang

  2020-03-06

  52437 5335 Pages:274-291

• Simulation of Inviscid Compressible Flows Using PDE Transform

  Langhua Hu, Siyang Yang, Guo-Wei Wei

  2014-11-08

  43318 5659 Pages:1201-1238

• A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

  Raphael Loubere, Michael Dumbser, Steven Diot

  2014-12-08

  39691 3901 Pages:718-763

• A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows III: Microflow Simulations

  Juan-Chen Huang, Kun Xu, Pubing Yu

  2013-11-05

  40769 4279 Pages:1147-1173

• Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation

  Shanshan Jiang, Lijin Wang, Jialin Hong

  2014-08-05

  41608 4024 Pages:393-411

• A Stochastic Galerkin Method for Stochastic Control Problems

  Hyung-Chun Lee, Jangwoon Lee

  2014-07-05

  39705 4690 Pages:77-106