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

  52007 3443 Pages:379-411

• Deep Network Approximation Characterized by Number of Neurons

  Zuowei Shen, Haizhao Yang, Shijun Zhang

  2020-11-18

  69179 3702 Pages:1768-1811

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

  Roman Pascal Schaerer, Manuel Torrilhon

  2020-07-30

  40445 3021 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

  41356 3278 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

  43242 6076 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

  42443 4080 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

  63433 5353 Pages:1-26

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

  Yingxia Xi, Xia Ji

  2022-08-11

  301771 3371 Pages:524-546

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

  Yingxia Xi, Xia Ji

  2020-07-21

  47448 3145 Pages:1105-1132

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

  L. Mathelin, K. A. Gallivan

  2012-12-01

  40698 4139 Pages:919-954

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

  Xinwei Shi, Patrice Koehl

  2008-03-01

  40434 4208 Pages:1032-1050

• Derivation of Asymptotic Limiting Equations for Multigroup Anisotropic-Scattering Transport Processes in Optically Thick Regimes

  Weiming Li, Chang Liu, Peng Song

  2026-01-03

  1898 93 Pages:919-940

• Convergence Analysis for Over-Parameterized Deep Learning

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

  2024-07-29

  28080 2172 Pages:71-103

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

  Ritesh Khan, Sivaram Ambikasaran

  2025-04-27

  9301 573 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

  38185 2996 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

  37799 3095 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

  41666 4632 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

  40217 4417 Pages:179-214

• Particle Collisions in a Lumped Particle Model

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

  2011-10-01

  40067 4002 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

  39464 4018 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

  41373 3603 Pages:793-820

• Full-Waveform Inversion with Unbalanced Optimal Transport Metric for Seismic Imaging

  Liangrong Wang, Xingpeng Dong, Dinghui Yang

  2026-04-10

  19 8 Pages:129-152

• 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

  9419 585 Pages:921-941

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

  Qin Li, Pengxin Liu, Hanxin Zhang

  2020-07-30

  39772 3259 Pages:1380-1416

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

  Weizhang Huang, Yanqiu Wang

  2018-04-03

  42501 4473 Pages:65-90

• Simulation of Decoherence by Averaged Semiquantum Method

  Zhuo Wang, Quanlin Jie, Shi-Hui Zhang

  2010-07-01

  38491 4078 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

  6537 487 Pages:887-922