Search Results

• Numerical Simulations for Full History Recursive Multilevel Picard Approximations for Systems of High-Dimensional Partial Differential Equations

  Sebastian Becker, Ramon Braunwarth, Martin Hutzenthaler, Arnulf Jentzen, Philippe von Wurstemberger

  2020-11-18

  64580 3388 Pages:2109-2138

• Deep Network Approximation Characterized by Number of Neurons

  Zuowei Shen, Haizhao Yang, Shijun Zhang

  2020-11-18

  69198 3704 Pages:1768-1811

• Higher-Order Rytov Approximation for Large-Scale and Strong Perturbation Media

  Bo Feng, Ru-Shan Wu, Huazhong Wang

  2020-06-05

  52403 4897 Pages:98-110

• A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential

  Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, Xiaoming Wang

  2024-04-10

  25112 2172 Pages:633-661

• Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units

  Bo Li, Shanshan Tang, Haijun Yu

  2019-12-07

  52027 3444 Pages:379-411

• An Efficient Sampling Method for Regression-Based Polynomial Chaos Expansion

  Samih Zein, Benoit Colson, Francois Glineur

  2013-08-05

  43674 4361 Pages:1173-1188

• Composite Coherent States Approximation for One-Dimensional Multi-Phased Wave Functions

  Dongsheng Yin, Chunxiong Zheng

  2012-11-01

  42522 515047 Pages:951-984

• Approximating the Gaussian as a Sum of Exponentials and Its Applications to the Fast Gauss Transform

  Shidong Jiang, Leslie Greengard

  2021-12-06

  63436 5355 Pages:1-26

• Ensemble Gradient for Learning Turbulence Models from Indirect Observations

  Carlos A. Michelén Ströfer, Xin-Lei Zhang, Heng Xiao

  2021-10-26

  80767 3742 Pages:1269-1289

• Approximation of the Mean Escape Time for a Tilted Periodic Potential

  Tamra Heberling, Lisa Davis, Tomas Gedeon

  2018-09-01

  45274 5132 Pages:1-40

• Direct Simulation Methods for Scalar-Wave Envelopes in Two-Dimensional Layered Random Media Based on the Small-Angle Scattering Approximation

  Tatsuhiko Saito, Haruo Sato, Tsutomu Takahashi

  2008-01-02

  40197 4362 Pages:63-84

• Efficient Implementation of 3D FEM for Nonlocal Poisson Problem with Different Ball Approximation Strategies

  Gengjian Chen, Yuheng Ma, Jiwei Zhang

  2024-12-02

  15588 1158 Pages:1378-1410

• Approximating and Preconditioning the Stiffness Matrix in the GoFD Approximation of the Fractional Laplacian

  Weizhang Huang, Jinye Shen

  2025-01-22

  16170 1029 Pages:1-29

• Numerical Approximation of an Axisymmetric Elastoacoustic Eigenvalue Problem

  J. Querales, P. Venegas

  2023-12-11

  31578 2587 Pages:1420-1438

• Frozen Gaussian Approximation for the Dirac Equation in Curved Space with Application to Strained Graphene

  Lihui Chai, Lorin Emmanuel, Xu Yang

  2023-08-14

  34136 3808 Pages:18-37

• 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

  46564 3360 Pages:1094-1128

• On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model

  Lei Li, Jian-Guo Liu, Zibu Liu, Yi Yang, Zhennan Zhou

  2022-07-06

  43058 3778 Pages:222-258

• Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

  Shu-Cun Li, Huazhong Tang

  2021-08-10

  47791 3143 Pages:1150-1184

• A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem

  Hong-Lin Liao, William McLean, Jiwei Zhang

  2021-05-25

  54956 3610 Pages:567-601

• Fast One-Dimensional Convolution with General Kernels Using Sum-of-Exponential Approximation

  Yong Zhang, Chijie Zhuang, Shidong Jiang

  2021-03-24

  46308 3299 Pages:1570-1582

• A Consistency Study of Coarse-Grained Dynamical Chains through a Nonlinear Wave Equation of Mixed Type

  Mingjie Liao, Ping Lin

  2020-07-30

  43539 3629 Pages:921-948

• An Approximate Second-Order Closure Model for Large-Eddy Simulation of Compressible Isotropic Turbulence

  Chenyue Xie, Jianchun Wang, Hui Li, Minping Wan, Shiyi Chen

  2020-07-30

  46970 4018 Pages:775-808

• 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

  50875 3663 Pages:1335-1364

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

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

  2018-09-17

  44599 4773 Pages:1556-1578 Open-access

• A Hybrid Method for Computing the Schrödinger Equations with Periodic Potential with Band-Crossings in the Momentum Space

  Lihui Chai, Shi Jin, Peter A. Markowich

  2020-07-31

  44267 3237 Pages:989-1020

• A Compressed Sensing Approach for Partial Differential Equations with Random Input Data

  L. Mathelin, K. A. Gallivan

  2012-12-01

  40701 4140 Pages:919-954

• A Locally Mass-Conservative Enriched Petrov-Galerkin Method Without Penalty for the Darcy Flow in Porous Media

  Huangxin Chen, Piaopiao Dong, Shuyu Sun, Zixuan Wang

  2026-01-18

  749 111 Pages:1199-1230