Search Results

• 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

• Deep Network Approximation Characterized by Number of Neurons

  Zuowei Shen, Haizhao Yang, Shijun Zhang

  2020-11-18

  68719 3581 Pages:1768-1811

• On Singular Closures for the 5-Moment System in Kinetic Gas Theory

  Roman Pascal Schaerer & Manuel Torrilhon

  2020-07-30

  40308 2967 Pages:371-400

• Numerical Methods for Solving the Hartree-Fock Equations of Diatomic Molecules II

  John C. Morrison, Kyle Steffen, Blake Pantoja, Asha Nagaiya, Jacek Kobus & Thomas Ericsson

  2018-04-03

  41176 3238 Pages:632-647

• Review of Feynman's Path Integral in Quantum Statistics: From the Molecular Schrödinger Equation to Kleinert's Variational Perturbation Theory

  Kin-Yiu Wong

  2020-07-31

  43056 5903 Pages:853-894 Open-access

• Correlation Functions, Universal Ratios and Goldstone Mode Singularities in $n$-Vector Models

  J. Kaupužs, R. V. N. Melnik, J. Rimšāns

  2014-05-05

  42283 4010 Pages:1407-1430

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

  Shidong Jiang, Leslie Greengard

  2021-12-06

  63144 5151 Pages:1-26

• A Holomorphic Operator Function Approach for the Transmission Eigenvalue Problem of Elastic Waves

  Yingxia Xi, Xia Ji

  2022-08-11

  301573 3308 Pages:524-546

• A Lowest-Order Mixed Finite Element Method for the Elastic Transmission Eigenvalue Problem

  Yingxia Xi, Xia Ji

  2020-07-21

  47228 3099 Pages:1105-1132

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

  L. Mathelin & K. A. Gallivan

  2012-12-01

  40558 4094 Pages:919-954

• The Geometry Behind Numerical Solvers of the Poisson-Boltzmann Equation

  Xinwei Shi & Patrice Koehl

  2008-03-01

  40269 4148 Pages:1032-1050

• Convergence Analysis for Over-Parameterized Deep Learning

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

  2024-07-29

  157 147 Pages:71-103

• New Algebraic Fast Algorithms for $N$-Body Problems in Two and Three Dimensions

  Ritesh Khan, Sivaram Ambikasaran

  2025-04-27

  197 50 Pages:1157-1226

• A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations

  Chaoyu Quan, Tao Tang, Boyi Wang, Jiang Yang

  2023-05-12

  37859 2905 Pages:962-991

• Band Structure Calculations of Dispersive Photonic Crystals in 3D Using Holomorphic Operator Functions

  Wenqiang Xiao, Bo Gong, Junshan Lin, Jiguang Sun

  2023-03-13

  37563 3039 Pages:628-646

• A Robust and Efficient Adaptive Multigrid Solver for the Optimal Control of Phase Field Formulations of Geometric Evolution Laws

  Feng Wei Yang, Chandrasekhar Venkataraman, Vanessa Styles & Anotida Madzvamuse

  2018-04-08

  41519 4517 Pages:65-92

• Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation

  M. Holst, J. A. McCammon, Z. Yu, Y. C. Zhou & Y. Zhu

  2012-11-01

  40054 4294 Pages:179-214

• Particle Collisions in a Lumped Particle Model

  Omar al-Khayat, Are Magnus Bruaset & Hans Petter Langtangen

  2011-10-01

  39929 3956 Pages:823-843

• A Nonhomogeneous Kinetic Model of Liquid Crystal Polymers and Its Thermodynamic Closure Approximation

  Haijun Yu, Guanghua Ji & Pingwen Zhang

  2018-03-24

  39284 3958 Pages:383-402

• Error Control in Multi-Element Generalized Polynomial Chaos Method for Elliptic Problems with Random Coefficients

  Xiaoliang Wan & George Em Karniadakis

  2018-04-11

  41208 3549 Pages:793-820

• An Unconditionally Energy-Stable and Orthonormality-Preserving Scheme for the Kohn-Sham Gradient Flow Based Model Based on a Tetrahedral Spectral Element Method

  Hongfei Zhan, Ting Wang, Guanghui Hu

  2025-04-27

  201 53 Pages:921-941

• Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces

  Futao Zhang, Yan Xu, Falai Chen & Ruihan Guo

  2020-07-30

  39635 3209 Pages:1380-1416

• Discrete Maximum Principle for the Weak Galerkin Method for Anisotropic Diffusion Problems

  Weizhang Huang & Yanqiu Wang

  2018-04-03

  42346 4371 Pages:65-90

• Simulation of Decoherence by Averaged Semiquantum Method

  Zhuo Wang, Quanlin Jie & Shi-Hui Zhang

  2010-07-01

  38322 3981 Pages:718-737

• A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem

  Zhijie Du, Huoyuan Duan, Duowei Zhu

  2025-08-23

  5938 392 Pages:887-922

• A Causality-DeepONet for Causal Responses of Linear Dynamical Systems

  Lizuo Liu, Kamaljyoti Nath, Wei Cai

  2024-06-14

  36136 1798 Pages:1194-1228

• Integral Equation Method for a Non-Selfadjoint Steklov Eigenvalue Problem

  Yunyun Ma, Jiguang Sun

  2022-05-06

  44844 3218 Pages:1546-1560