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

  64226 3325 Pages:2109-2138

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

  Bo Li, Shanshan Tang, Haijun Yu

  2019-12-07

  51684 3375 Pages:379-411

• 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

  47581 3080 Pages:1150-1184

• 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

  40047 4259 Pages:63-84

• A High-Order Accurate Gas-Kinetic Scheme for One- and Two-Dimensional Flow Simulation

  Na Liu & Huazhong Tang

  2020-07-31

  41368 3926 Pages:911-943

• High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes

  Weijie Zhang, Yulong Xing, Yinhua Xia, Yan Xu

  2022-03-03

  47752 3186 Pages:771-815

• VAE-KRnet and Its Applications to Variational Bayes

  Xiaoliang Wan, Shuangqing Wei

  2022-03-30

  52156 3201 Pages:1049-1082

• A New Type of High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes

  Jun Zhu, Jianxian Qiu

  2020-07-30

  44777 3830 Pages:897-920

• Incorporation of NURBS Boundary Representation with an Unstructured Finite Volume Approximation

  Yifan Xia, Gaofeng Wang, Yao Zheng, Tingwei Ji & Ching Y. Loh

  2018-09-17

  46167 3197 Pages:791-809

• Optimal Error Estimates of a Linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki Equations

  Dongfang Li, Waixiang Cao, Chengjian Zhang & Zhimin Zhang

  2019-04-28

  48462 3306 Pages:838-854

• Truncated $L_1$ Regularized Linear Regression: Theory and Algorithm

  Mingwei Dai, Shuyang Dai, Junjun Huang, Lican Kang, Xiliang Lu

  2021-04-30

  49908 4588 Pages:190-209

• A Parallel Computational Model for Three-Dimensional, Thermo-Mechanical Stokes Flow Simulations of Glaciers and Ice Sheets

  Wei Leng, Lili Ju, Max Gunzburger & Stephen Price

  2014-10-08

  42562 4230 Pages:1056-1080

• A Generalized Stationary Algorithm for Resonant Tunneling: Multi-Mode Approximation and High Dimension

  Naoufel Ben Abdallah & Hao Wu

  2011-10-01

  40175 4090 Pages:882-898

• Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence

  Yuan Gao, Jian-Guo Liu

  2023-08-14

  32964 3064 Pages:132-172

• Reduced Basis Approximation and Error Bounds for Potential Flows in Parametrized Geometries

  Gianluigi Rozza

  2011-09-01

  39028 4837 Pages:1-48 Open-access

• Operator Splitting for Three-Phase Flow in Heterogeneous Porous Media

  E. Abreu, J. Douglas, F. Furtado & F. Pereira

  2009-06-01

  38300 4114 Pages:72-84

• Solving Time Dependent Fokker-Planck Equations via Temporal Normalizing Flow

  Xiaodong Feng, Li Zeng, Tao Zhou

  2022-08-11

  308724 3524 Pages:401-423

• High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations

  Yupeng Ren, Yulong Xing, Jianxian Qiu

  2021-12-06

  47369 3809 Pages:154-187

• A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

  Kailiang Wu, Dongbin Xiu, Xinghui Zhong

  2021-05-25

  48872 3141 Pages:423-447

• An Adjoint-Based h-Adaptive Reconstructed Discontinuous Galerkin Method for the Steady-State Compressible Euler Equations

  Jian Cheng, Shengjiao Yu, Huiqiang Yue & Tiegang Liu

  2019-04-28

  46970 3207 Pages:855-879

• Locally Divergence-Free Spectral-DG Methods for Ideal Magnetohydrodynamic Equations on Cylindrical Coordinates

  Yong Liu, Qingyuan Liu, Yuan Liu, Chi-Wang Shu & Mengping Zhang

  2019-04-28

  48553 3302 Pages:631-653

• An All-Regime Lagrange-Projection Like Scheme for the Gas Dynamics Equations on Unstructured Meshes

  Christophe Chalons, Mathieu Girardin & Samuel Kokh

  2018-04-04

  42292 4674 Pages:188-233

• A Direct Solver for Initial Value Problems of Rarefied Gas Flows of Arbitrary Statistics

  Jaw-Yen Yang, Bagus Putra Muljadi, Zhi-Hui Li & Han-Xin Zhang

  2014-07-05

  38767 4408 Pages:242-264

• Variance-Based Global Sensitivity Analysis via Sparse-Grid Interpolation and Cubature

  Gregery T. Buzzard & Dongbin Xiu

  2011-03-05

  39179 3831 Pages:542-567