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• Improved Randomized Neural Network Methods with Boundary Processing for Solving Elliptic Equations

  Huifang Zhou, Zhiqiang Sheng

  2026-01-15

  3203 293 Pages:147-184

• A Weighted Multi-Domain Spectral Penalty Method with Inhomogeneous Grid for Supersonic Injective Cavity Flows

  Wai-Sun Don, David Gottlieb, Jae-Hun Jung

  2009-05-01

  38810 3880 Pages:986-1011

• Discrete Duality Finite Volume Discretization of the Thermal-$P_N$ Radiative Transfer Equations on General Meshes

  Francois Hermeline

  2022-01-27

  42943 3364 Pages:398-448

• Nonlinear Stochastic Galerkin and Collocation Methods: Application to a Ferromagnetic Cylinder Rotating at High Speed

  Eveline Rosseel, Herbert De Gersem, Stefan Vandewalle

  2010-08-01

  43311 4869 Pages:947-975 Open-access

• Adaptive Ensemble Kalman Inversion with Statistical Linearization

  Yanyan Wang, Qian Li, Liang Yan

  2023-06-06

  41388 3078 Pages:1357-1380

• An Adaptive Finite Element PML Method for the Open Cavity Scattering Problems

  Yanli Chen, Peijun Li, Xiaokai Yuan

  2021-03-24

  46149 3319 Pages:1505-1540

• Multigrid Method for the Chan-Vese Model in Variational Segmentation

  Noor Badshah, Ke Chen

  2018-03-24

  38140 3903 Pages:294-316

• A Neural Particle Method with Interface Tracking and Adaptive Particle Refinement for Free Surface Flows

  Pei-Hsin Pai, Heng-Chuan Kan, Hock-Kiet Wong, Yih-Chin Tai

  2024-10-29

  17866 1218 Pages:1021-1052

• Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media

  Meiling Zhao, Jiahui He, Liqun Wang

  2023-09-04

  31744 2649 Pages:530-562

• An Application of Prony's Sum of Exponentials Method to Pharmacokinetic Data Analysis

  J. Fuite, R. E. Marsh, J. A. Tuszynski

  2007-02-01

  39366 4904 Pages:87-98

• Simulation of Propagating Acoustic Wavefronts with Random Sound Speed

  Sheri L. Martinelli

  2014-10-08

  41566 4057 Pages:1081-1101

• New Unconditionally Stable Schemes for the Navier-Stokes Equations

  Hui Yao, Mejdi Azaiez, Chuanju Xu

  2021-08-10

  49160 3151 Pages:1083-1117

• Consistent Forcing Scheme in the Simplified Lattice Boltzmann Method for Incompressible Flows

  Yuan Gao, Liuming Yang, Yang Yu, Guoxiang Hou, Zhongbao Hou

  2021-10-26

  47430 3355 Pages:1427-1452

• Super-Grid Modeling of the Elastic Wave Equation in Semi-Bounded Domains

  N. Anders Petersson, Bjoern Sjoegreen

  2014-10-08

  42673 4136 Pages:913-955

• An Iterative Discontinuous Galerkin Method for Solving the Nonlinear Poisson Boltzmann Equation

  Peimeng Yin, Yunqing Huang, Hailiang Liu

  2014-08-03

  42395 4167 Pages:491-515

• A Reduced Basis Method for the Homogenized Reynolds Equation Applied to Textured Surfaces

  Michael Rom, Siegfried Müller

  2018-09-17

  46509 3392 Pages:481-509

• Vortex Spline Method for Two-Dimensional Rayleigh-Taylor Interfaces Between Inviscid and Perfect Dielectric Fluids with External Electric Fields

  Wenxuan Guo, Qiang Zhang

  2026-01-15

  3195 260 Pages:78-118

• An Inverse Averaging Finite Element Method for Solving the Size-Modified Poisson-Nernst-Planck Equations in Ion Channel Simulations

  Ruigang Shen, Qianru Zhang, Benzhuo Lu

  2024-09-06

  19779 1615 Pages:521-550

• Harmonic Surface Mapping Algorithm for Electrostatic Potentials in an Atomistic/Continuum Hybrid Model for Electrolyte Solutions

  Jing Fu, Zecheng Gan

  2020-12-02

  45658 3332 Pages:571-587

• Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

  Ameya D. Jagtap, George Em Karniadakis

  2020-11-18

  151476 6984 Pages:2002-2041

• An Implicit Unified Gas Kinetic Scheme for Radiative Transfer with Equilibrium and Non-Equilibrium Diffusive Limits

  Wenjun Sun, Song Jiang, Kun Xu

  2017-10-02

  43710 3344 Pages:889-912

• A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

  S. Qamar & G. Warnecke

  2006-01-01

  208 85 Pages:449-478

• A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

  S. Qamar & G. Warnecke

  2006-01-01

  38520 4034 Pages:449-478

• A Finite Volume Method for the Multi Subband Boltzmann Equation with Realistic 2D Scattering in Double Gate MOSFETs

  Tiao Lu, Gang Du, Xiaoyan Liu, Pingwen Zhang

  2011-10-01

  38430 4062 Pages:305-338

• A Numerical Method for Solving Elasticity Equations with Interfaces

  Songming Hou, Zhilin Li, Liqun Wang, Wei Wang

  2020-07-31

  39033 4212 Pages:595-612

• Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

  Shamsulhaq Basir

  2023-06-06

  41856 3030 Pages:1240-1269

• Practical Techniques in Ghost Fluid Method for Compressible Multi-Medium Flows

  Liang Xu, Chengliang Feng, Tiegang Liu

  2018-04-04

  40869 3258 Pages:619-659