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

  Huifang Zhou, Zhiqiang Sheng

  2026-01-15

  2930 185 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

  38716 3849 Pages:986-1011

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

  Francois Hermeline

  2022-01-27

  42851 3330 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

  43201 4791 Pages:947-975 Open-access

• Adaptive Ensemble Kalman Inversion with Statistical Linearization

  Yanyan Wang, Qian Li, Liang Yan

  2023-06-06

  41258 3027 Pages:1357-1380

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

  Yanli Chen, Peijun Li, Xiaokai Yuan

  2021-03-24

  46034 3286 Pages:1505-1540

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

  Noor Badshah & Ke Chen

  2018-03-24

  38047 3881 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

  17729 1163 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

  31617 2613 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

  39280 4825 Pages:87-98

• Simulation of Propagating Acoustic Wavefronts with Random Sound Speed

  Sheri L. Martinelli

  2014-10-08

  41477 4008 Pages:1081-1101

• New Unconditionally Stable Schemes for the Navier-Stokes Equations

  Hui Yao, Mejdi Azaiez, Chuanju Xu

  2021-08-10

  49058 3118 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

  47328 3324 Pages:1427-1452

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

  N. Anders Petersson & Björn Sjögreen

  2014-10-08

  42561 4101 Pages:913-955

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

  Peimeng Yin, Yunqing Huang & Hailiang Liu

  2014-08-03

  42307 4129 Pages:491-515

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

  Michael Rom, Siegfried Müller

  2018-09-17

  46357 3350 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

  2936 156 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

  19661 1568 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

  45558 3294 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

  149394 6595 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

  43606 3308 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

  113 55 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

  38426 3996 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

  38336 4018 Pages:305-338

• A Numerical Method for Solving Elasticity Equations with Interfaces

  Songming Hou, Zhilin Li, Liqun Wang & Wei Wang

  2020-07-31

  38945 4172 Pages:595-612

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

  Shamsulhaq Basir

  2023-06-06

  41665 2977 Pages:1240-1269

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

  Liang Xu, Chengliang Feng & Tiegang Liu

  2018-04-04

  40783 3203 Pages:619-659