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

  DOI:10.4208/cicp.OA-2020-0130

  64587 3389 pp. 2109-2138

• Deep Network Approximation Characterized by Number of Neurons

  Zuowei Shen, Haizhao Yang, Shijun Zhang

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0149

  69204 3704 pp. 1768-1811

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

  Bo Feng, Ru-Shan Wu, Huazhong Wang

  2020-06-05

  DOI:10.4208/cicp.OA-2018-0091

  52404 4899 pp. 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

  DOI:10.4208/cicp.OA-2023-0038

  25116 2172 pp. 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

  DOI:10.4208/cicp.OA-2019-0168

  52032 3444 pp. 379-411

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

  Samih Zein, Benoit Colson, Francois Glineur

  2013-08-05

  DOI:10.4208/cicp.020911.200412a

  43674 4362 pp. 1173-1188

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

  Dongsheng Yin, Chunxiong Zheng

  2012-11-01

  DOI:10.4208/cicp.101010.250511a

  42523 515048 pp. 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

  DOI:10.4208/cicp.OA-2021-0031

  63437 5355 pp. 1-26

• Ensemble Gradient for Learning Turbulence Models from Indirect Observations

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

  2021-10-26

  DOI:10.4208/cicp.OA-2021-0082

  80767 3742 pp. 1269-1289

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

  Tamra Heberling, Lisa Davis, Tomas Gedeon

  2018-09-01

  DOI:10.4208/cicp.OA-2017-0133

  45274 5132 pp. 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

  40198 4364 pp. 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

  DOI:10.4208/cicp.OA-2023-0210

  15591 1158 pp. 1378-1410

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

  Weizhang Huang, Jinye Shen

  2025-01-22

  DOI:10.4208/cicp.OA-2024-0079

  16171 1029 pp. 1-29

• Numerical Approximation of an Axisymmetric Elastoacoustic Eigenvalue Problem

  J. Querales, P. Venegas

  2023-12-11

  DOI:10.4208/cicp.OA-2023-0179

  31578 2587 pp. 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

  DOI:10.4208/cicp.OA-2021-0209

  34136 3809 pp. 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

  DOI:10.4208/cicp.OA-2022-0106

  46564 3360 pp. 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

  DOI:10.4208/cicp.OA-2021-0049

  43060 3778 pp. 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

  DOI:10.4208/cicp.OA-2020-0226

  47792 3143 pp. 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

  DOI:10.4208/cicp.OA-2020-0124

  54958 3612 pp. 567-601

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

  Yong Zhang, Chijie Zhuang, Shidong Jiang

  2021-03-24

  DOI:10.4208/cicp.OA-2020-0116

  46308 3299 pp. 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

  DOI:10.4208/cicp.OA-2018-0206

  43540 3631 pp. 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

  DOI:10.4208/cicp.OA-2018-0306

  46973 4018 pp. 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

  DOI:10.4208/cicp.2019.js60.10

  50877 3663 pp. 1335-1364

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

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

  2018-09-17

  DOI:10.4208/cicp.OA-2017-0257

  44603 4776 pp. 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

  DOI:10.4208/cicp.2018.hh80.01

  44268 3237 pp. 989-1020

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

  L. Mathelin, K. A. Gallivan

  2012-12-01

  DOI:10.4208/cicp.151110.090911a

  40701 4140 pp. 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

  DOI:10.4208/cicp.OA-2023-0321

  751 111 pp. 1199-1230